TSTP Solution File: GRP703+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:04:27 EDT 2022
% Result : Theorem 171.85s 172.01s
% Output : Refutation 171.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 14:32:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 171.85/172.01 GeoParameters:
% 171.85/172.01
% 171.85/172.01 tptp_input = 1
% 171.85/172.01 tptp_output = 0
% 171.85/172.01 nonempty = 1
% 171.85/172.01 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 171.85/172.01 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 171.85/172.01
% 171.85/172.01
% 171.85/172.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 171.85/172.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 171.85/172.01
% 171.85/172.01 RuleSystem INPUT:
% 171.85/172.01
% 171.85/172.01 Initial Rules:
% 171.85/172.01 #0: input, references = 6, size of lhs = 3:
% 171.85/172.01 P_ld-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), V3 == V0 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #1: input, references = 8, size of lhs = 3:
% 171.85/172.01 P_mult-{F}(V1,V0,V2), P_ld-{F}(V1,V2,V3), V3 == V0 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #2: input, references = 4, size of lhs = 3:
% 171.85/172.01 P_rd-{F}(V1,V0,V2), P_mult-{F}(V2,V0,V3), V3 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #3: input, references = 4, size of lhs = 3:
% 171.85/172.01 P_mult-{F}(V1,V0,V2), P_rd-{F}(V2,V0,V3), V3 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #4: input, references = 4, size of lhs = 3:
% 171.85/172.01 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #5: input, references = 4, size of lhs = 3:
% 171.85/172.01 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #6: input, references = 6, size of lhs = 8:
% 171.85/172.01 P_unit-{F}(V0), P_mult-{F}(V2,V1,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V3,V5,V6), P_mult-{F}(V3,V2,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V1,V9), V6 == V9 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #7: input, references = 4, size of lhs = 7:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V1,V3,V6), P_mult-{F}(V6,V2,V7), V5 == V7 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #8: input, references = 5, size of lhs = 7:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V3,V2,V6), P_mult-{F}(V6,V1,V7), V5 == V7 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #9: input, references = 5, size of lhs = 7:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V3,V1,V6), P_mult-{F}(V6,V2,V7), V5 == V7 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #10: input, references = 5, size of lhs = 6:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_mult-{F}(V1,V3,V4), P_ld-{F}(V3,V4,V5), V2 == V5 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #11: input, references = 5, size of lhs = 9:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_mult-{F}(V5,V4,V6), P_rd-{F}(V1,V6,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V8,V5,V9), V3 == V9 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #12: input, references = 3, size of lhs = 10:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_mult-{F}(V6,V5,V7), P_ld-{F}(V7,V1,V8), P_mult-{F}(V5,V8,V9), P_mult-{F}(V6,V9,V10), V4 == V10 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #13: input, references = 6, size of lhs = 5:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4) | EXISTS V5: pppp1-{T}(V3,V5)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #14: input, references = 9, size of lhs = 1:
% 171.85/172.01 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V1,V0,V2)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #15: input, references = 10, size of lhs = 12:
% 171.85/172.01 pppp0-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V1,V3,V6), P_mult-{F}(V1,V0,V5), P_mult-{F}(V5,V2,V6), P_mult-{F}(V2,V1,V7), P_mult-{F}(V0,V7,V9), P_mult-{F}(V3,V1,V9), P_mult-{F}(V1,V2,V10), P_mult-{F}(V0,V10,V13), P_mult-{F}(V0,V1,V12), P_mult-{F}(V12,V2,V13) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #16: input, references = 40, size of lhs = 2:
% 171.85/172.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #17: input, references = 18, size of lhs = 2:
% 171.85/172.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #18: input, references = 9, size of lhs = 2:
% 171.85/172.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #19: input, references = 4, size of lhs = 0:
% 171.85/172.01 FALSE | EXISTS V0: P_unit-{T}(V0)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #20: input, references = 4, size of lhs = 0:
% 171.85/172.01 FALSE | EXISTS V0: P_op_c-{T}(V0)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #21: input, references = 5, size of lhs = 0:
% 171.85/172.01 FALSE | EXISTS V0: P_op_d-{T}(V0)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #22: input, references = 4, size of lhs = 0:
% 171.85/172.01 FALSE | EXISTS V0: P_op_e-{T}(V0)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #23: input, references = 5, size of lhs = 0:
% 171.85/172.01 FALSE | EXISTS V0: P_op_f-{T}(V0)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 number of initial rules = 24
% 171.85/172.01
% 171.85/172.01 Simplifiers:
% 171.85/172.01 #24: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #25: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #26: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #27: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #28: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 P_op_c-{F}(V0), P_op_c-{F}(V1), V0 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #29: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 P_op_d-{F}(V0), P_op_d-{F}(V1), V0 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #30: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 P_op_e-{F}(V0), P_op_e-{F}(V1), V0 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #31: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 P_op_f-{F}(V0), P_op_f-{F}(V1), V0 == V1 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #32: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #33: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V0 == V3 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #34: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #35: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #36: unsound, references = 3, size of lhs = 3:
% 171.85/172.01 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 number of simplifiers = 13
% 171.85/172.01
% 171.85/172.01 Learnt:
% 171.85/172.01 #38: exists( #16, #4 ), references = 22, size of lhs = 2:
% 171.85/172.01 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #40: exists( #17, #1 ), references = 10, size of lhs = 1:
% 171.85/172.01 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #42: exists( #16, #5 ), references = 20, size of lhs = 2:
% 171.85/172.01 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #44: exists( #21, #10 ), references = 2, size of lhs = 4:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_ld-{F}(V2,V3,V4) | P_op_d-{T}(V4)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #46: exists( #18, #3 ), references = 2, size of lhs = 1:
% 171.85/172.01 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #51: exists( #16, #49 ), references = 1, size of lhs = 6:
% 171.85/172.01 P_unit-{F}(V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V1), pppp0-{F}(V1,V0,V2), P_mult-{F}(V2,V0,V2), P_mult-{F}(V0,V2,V2) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #55: exists( #14, #53 ), references = 2, size of lhs = 4:
% 171.85/172.01 P_unit-{F}(V0), pppp1-{F}(V0,V1), P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V1) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #60: mergings( V0 == V3; #58 ), references = 1, size of lhs = 5:
% 171.85/172.01 P_op_c-{F}(V0), P_op_d-{F}(V1), P_op_e-{F}(V2), P_unit-{F}(V2), P_op_f-{F}(V3) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #63: mergings( V1 == V4; #61 ), references = 2, size of lhs = 4:
% 171.85/172.01 P_op_c-{F}(V0), P_op_d-{F}(V1), P_op_e-{F}(V2), P_unit-{F}(V2) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #65: exists( #22, #11 ), references = 2, size of lhs = 7:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_rd-{F}(V1,V3,V4), P_mult-{F}(V5,V6,V3), P_mult-{F}(V4,V6,V7), P_mult-{F}(V7,V5,V8) | P_op_e-{T}(V8)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #70: mergings( V1 == V4, V2 == V3; #67 ), references = 1, size of lhs = 6:
% 171.85/172.01 P_op_c-{F}(V0), P_unit-{F}(V1), P_rd-{F}(V0,V2,V3), P_mult-{F}(V4,V5,V2), P_mult-{F}(V3,V5,V6), P_mult-{F}(V6,V4,V1) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #72: exists( #16, #7 ), references = 20, size of lhs = 5:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V2,V4,V5), P_mult-{F}(V3,V4,V6) | P_mult-{T}(V1,V5,V6)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #74: exists( #16, #8 ), references = 13, size of lhs = 5:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V1,V6) | P_mult-{T}(V4,V3,V6)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #77: exists( #16, #8 ), references = 10, size of lhs = 5:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V2,V6) | P_mult-{T}(V6,V1,V5)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #78: exists( #16, #9 ), references = 15, size of lhs = 5:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6) | P_mult-{T}(V6,V2,V5)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #81: exists( #16, #2 ), references = 21, size of lhs = 1:
% 171.85/172.01 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #82: exists( #16, #11 ), references = 4, size of lhs = 7:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_rd-{F}(V1,V4,V5), P_mult-{F}(V6,V7,V4), P_mult-{F}(V5,V7,V8) | P_mult-{T}(V8,V6,V3)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #91: exists( #16, #6 ), references = 13, size of lhs = 6:
% 171.85/172.01 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V2,V8) | P_mult-{T}(V5,V4,V8)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #105: mergings( V3 == V4, V4 == V5, V5 == V6; #101 ), references = 2, size of lhs = 10:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V1,V4), P_mult-{F}(V5,V3,V6), P_ld-{F}(V5,V7,V4), P_mult-{F}(V8,V9,V6), P_mult-{F}(V10,V9,V11), P_mult-{F}(V10,V11,V2), P_mult-{F}(V12,V10,V8) | P_rd-{T}(V12,V10,V7)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #117: mergings( V14 == V16, V3 == V4, V4 == V6, V5 == V7; #112 ), references = 3, size of lhs = 22:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V1,V4), P_mult-{F}(V5,V3,V6), P_ld-{F}(V5,V7,V4), pppp0-{F}(V7,V1,V8), P_mult-{F}(V1,V7,V9), P_mult-{F}(V9,V8,V10), P_mult-{F}(V8,V1,V11), P_mult-{F}(V7,V11,V12), P_mult-{F}(V1,V8,V13), P_mult-{F}(V7,V13,V14), P_mult-{F}(V7,V1,V15), P_mult-{F}(V15,V8,V14), P_mult-{F}(V8,V16,V2), P_mult-{F}(V8,V17,V16), P_mult-{F}(V18,V17,V6), P_mult-{F}(V18,V8,V19), P_mult-{F}(V19,V20,V12), P_mult-{F}(V8,V20,V21), P_mult-{F}(V8,V21,V1) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #125: mergings( V3 == V4, V4 == V5; #122 ), references = 3, size of lhs = 8:
% 171.85/172.01 P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V2,V4,V1), P_mult-{F}(V2,V5,V4), P_mult-{F}(V6,V3,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V5,V9) | P_mult-{T}(V6,V0,V9)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #141: mergings( V3 == V4, V4 == V5; #138 ), references = 10, size of lhs = 9:
% 171.85/172.01 P_unit-{F}(V0), P_mult-{F}(V1,V2,V0), P_mult-{F}(V1,V3,V2), P_mult-{F}(V4,V5,V1), P_mult-{F}(V4,V6,V5), P_mult-{F}(V7,V4,V8), P_mult-{F}(V8,V6,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V10,V3,V11) | P_rd-{T}(V7,V4,V11)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #155: mergings( V3 == V4, V4 == V5; #152 ), references = 6, size of lhs = 10:
% 171.85/172.01 P_unit-{F}(V0), P_ld-{F}(V1,V0,V2), P_mult-{F}(V3,V4,V1), P_mult-{F}(V5,V4,V6), P_mult-{F}(V5,V6,V0), P_mult-{F}(V7,V5,V3), P_mult-{F}(V5,V7,V8), P_mult-{F}(V8,V9,V7), P_mult-{F}(V7,V9,V10), P_mult-{F}(V7,V10,V11) | P_rd-{T}(V5,V7,V2)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #183: mergings( V20 == V24, V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #175 ), references = 1, size of lhs = 30:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V0,V2,V0), P_mult-{F}(V0,V3,V2), P_mult-{F}(V0,V4,V0), P_mult-{F}(V0,V5,V4), P_mult-{F}(V1,V6,V7), P_mult-{F}(V0,V8,V9), P_mult-{F}(V10,V3,V11), P_mult-{F}(V12,V0,V10), P_mult-{F}(V0,V12,V13), P_mult-{F}(V13,V14,V12), P_mult-{F}(V12,V14,V15), P_mult-{F}(V12,V15,V16), P_mult-{F}(V13,V17,V12), P_mult-{F}(V12,V17,V18), P_mult-{F}(V12,V18,V19), P_mult-{F}(V0,V19,V20), P_mult-{F}(V20,V0,V21), P_mult-{F}(V21,V5,V22), P_mult-{F}(V22,V1,V23), P_ld-{F}(V23,V12,V24), P_mult-{F}(V6,V12,V25), V24 == V25, P_mult-{F}(V12,V8,V26), P_mult-{F}(V12,V26,V27), P_mult-{F}(V9,V27,V28), P_mult-{F}(V28,V29,V7), P_mult-{F}(V27,V29,V30), P_mult-{F}(V27,V30,V0) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #192: mergings( V21 == V25, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #184 ), references = 1, size of lhs = 28:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V0,V2,V0), P_mult-{F}(V0,V3,V2), P_mult-{F}(V0,V4,V0), P_mult-{F}(V0,V5,V4), P_mult-{F}(V1,V6,V7), P_mult-{F}(V0,V8,V9), P_mult-{F}(V10,V3,V11), P_mult-{F}(V12,V0,V10), P_mult-{F}(V0,V12,V13), P_mult-{F}(V13,V14,V12), P_mult-{F}(V12,V14,V15), P_mult-{F}(V12,V15,V16), P_mult-{F}(V13,V17,V12), P_mult-{F}(V12,V17,V18), P_mult-{F}(V12,V18,V19), P_mult-{F}(V0,V19,V20), P_mult-{F}(V20,V0,V21), P_mult-{F}(V21,V5,V22), P_mult-{F}(V22,V1,V23), P_mult-{F}(V6,V12,V24), P_mult-{F}(V12,V8,V25), P_mult-{F}(V12,V25,V26), P_mult-{F}(V9,V26,V27), P_mult-{F}(V27,V28,V7), P_mult-{F}(V26,V28,V29), P_mult-{F}(V26,V29,V0) | P_ld-{T}(V23,V12,V24)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #236: mergings( V26 == V35, V1 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V6 == V10; #225 ), references = 1, size of lhs = 30:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V0,V3,V0), P_mult-{F}(V0,V4,V3), P_mult-{F}(V1,V5,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V1,V9,V10), P_mult-{F}(V11,V10,V12), P_mult-{F}(V11,V13,V1), P_mult-{F}(V2,V14,V13), P_mult-{F}(V5,V15,V14), P_mult-{F}(V15,V0,V16), P_mult-{F}(V16,V4,V17), P_mult-{F}(V15,V7,V18), P_mult-{F}(V15,V18,V19), P_mult-{F}(V8,V19,V20), P_mult-{F}(V20,V21,V6), P_mult-{F}(V19,V21,V22), P_mult-{F}(V19,V22,V0), P_mult-{F}(V0,V15,V23), P_mult-{F}(V23,V24,V15), P_mult-{F}(V15,V24,V25), P_mult-{F}(V15,V25,V26), P_mult-{F}(V23,V27,V15), P_mult-{F}(V15,V27,V28), P_mult-{F}(V15,V28,V29), P_mult-{F}(V13,V29,V30), P_mult-{F}(V30,V9,V31), V12 == V31 | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #246: mergings( V25 == V34, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V7 == V11; #237 ), references = 1, size of lhs = 28:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V0,V3,V0), P_mult-{F}(V0,V4,V3), P_mult-{F}(V1,V5,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V1,V9,V10), P_mult-{F}(V11,V12,V1), P_mult-{F}(V2,V13,V12), P_mult-{F}(V5,V14,V13), P_mult-{F}(V14,V0,V15), P_mult-{F}(V15,V4,V16), P_mult-{F}(V14,V7,V17), P_mult-{F}(V14,V17,V18), P_mult-{F}(V8,V18,V19), P_mult-{F}(V19,V20,V6), P_mult-{F}(V18,V20,V21), P_mult-{F}(V18,V21,V0), P_mult-{F}(V0,V14,V22), P_mult-{F}(V22,V23,V14), P_mult-{F}(V14,V23,V24), P_mult-{F}(V14,V24,V25), P_mult-{F}(V22,V26,V14), P_mult-{F}(V14,V26,V27), P_mult-{F}(V14,V27,V28), P_mult-{F}(V12,V28,V29), P_mult-{F}(V29,V9,V30) | P_mult-{T}(V11,V10,V30)
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #270: mergings( V3 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V4 == V6, V6 == V11; #262 ), references = 2, size of lhs = 40:
% 171.85/172.01 P_op_d-{F}(V0), P_op_e-{F}(V1), P_op_c-{F}(V1), P_unit-{F}(V2), P_mult-{F}(V1,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V3,V5,V2), P_mult-{F}(V3,V6,V5), P_mult-{F}(V6,V7,V8), P_mult-{F}(V6,V8,V9), P_mult-{F}(V9,V10,V2), P_mult-{F}(V9,V11,V10), pppp0-{F}(V12,V1,V13), P_mult-{F}(V1,V12,V14), P_mult-{F}(V14,V13,V15), P_mult-{F}(V13,V1,V16), P_mult-{F}(V12,V16,V17), P_mult-{F}(V1,V13,V18), P_mult-{F}(V12,V18,V19), P_mult-{F}(V12,V1,V20), P_mult-{F}(V20,V13,V19), P_mult-{F}(V13,V21,V22), P_mult-{F}(V22,V4,V23), P_mult-{F}(V23,V3,V24), P_mult-{F}(V21,V1,V25), P_mult-{F}(V26,V11,V24), P_mult-{F}(V27,V9,V26), P_mult-{F}(V28,V7,V27), P_mult-{F}(V29,V25,V17), P_mult-{F}(V30,V13,V29), P_mult-{F}(V30,V25,V31), P_mult-{F}(V32,V1,V33), P_mult-{F}(V34,V32,V31), P_ld-{F}(V34,V12,V33), P_rd-{F}(V1,V35,V36), P_mult-{F}(V36,V37,V13), P_mult-{F}(V35,V37,V38), P_mult-{F}(V38,V39,V28), P_mult-{F}(V37,V39,V40), P_mult-{F}(V37,V40,V6) | FALSE
% 171.85/172.01 (used 0 times, uses = {})
% 171.85/172.01
% 171.85/172.01 #279: exists( #16, #277 ), references = 5, size of lhs = 5:
% 171.85/172.01 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V5,V2), P_ld-{F}(V4,V3,V6) | P_mult-{T}(V5,V1,V6)
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #299: exists( #16, #297 ), references = 8, size of lhs = 5:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3), P_ld-{F}(V3,V4,V5), P_mult-{F}(V1,V5,V6) | P_mult-{T}(V2,V6,V4)
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #326: mergings( V11 == V18, V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9, V14 == V20; #316 ), references = 3, size of lhs = 16:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V3,V1,V4), pppp0-{F}(V4,V1,V5), P_mult-{F}(V1,V4,V6), P_mult-{F}(V6,V5,V7), P_mult-{F}(V5,V1,V8), P_mult-{F}(V4,V8,V9), P_mult-{F}(V1,V5,V10), P_mult-{F}(V11,V1,V10), P_mult-{F}(V3,V11,V12), P_mult-{F}(V12,V2,V9), P_mult-{F}(V4,V10,V13), P_mult-{F}(V4,V1,V14), P_mult-{F}(V14,V5,V13) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #335: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V14 == V26, V25 == V31; #317 ), references = 1, size of lhs = 24:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V3,V1,V0), P_mult-{F}(V4,V1,V5), P_mult-{F}(V6,V1,V7), P_mult-{F}(V4,V6,V8), P_mult-{F}(V8,V2,V9), P_mult-{F}(V1,V10,V7), pppp0-{F}(V11,V1,V10), P_mult-{F}(V1,V11,V12), P_mult-{F}(V12,V10,V13), P_mult-{F}(V11,V7,V14), P_mult-{F}(V11,V1,V15), P_mult-{F}(V15,V10,V14), P_mult-{F}(V10,V1,V16), P_mult-{F}(V11,V16,V9), P_mult-{F}(V10,V16,V1), P_mult-{F}(V10,V17,V3), P_mult-{F}(V10,V18,V17), P_mult-{F}(V5,V18,V19), P_mult-{F}(V20,V1,V21), P_mult-{F}(V22,V20,V19), P_ld-{F}(V22,V11,V21) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #344: mergings( V3 == V5, V5 == V7, V7 == V11, V4 == V6, V6 == V8, V8 == V10, V11 == V13, V15 == V32; #318 ), references = 1, size of lhs = 42:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_op_c-{F}(V1), P_unit-{F}(V2), P_mult-{F}(V1,V1,V2), P_mult-{F}(V3,V1,V1), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V8), P_mult-{F}(V4,V7,V9), P_mult-{F}(V9,V2,V10), P_mult-{F}(V1,V11,V8), pppp0-{F}(V12,V1,V11), P_mult-{F}(V1,V12,V13), P_mult-{F}(V13,V11,V14), P_mult-{F}(V11,V1,V15), P_mult-{F}(V12,V15,V10), P_mult-{F}(V12,V8,V16), P_mult-{F}(V12,V1,V17), P_mult-{F}(V17,V11,V16), P_mult-{F}(V11,V3,V18), P_mult-{F}(V1,V19,V20), P_mult-{F}(V18,V20,V21), P_mult-{F}(V21,V19,V22), P_mult-{F}(V19,V23,V2), P_mult-{F}(V19,V24,V23), P_mult-{F}(V24,V25,V26), P_mult-{F}(V24,V26,V27), P_mult-{F}(V27,V28,V2), P_mult-{F}(V27,V29,V28), P_mult-{F}(V30,V29,V22), P_mult-{F}(V31,V27,V30), P_mult-{F}(V32,V25,V31), P_mult-{F}(V33,V1,V34), P_mult-{F}(V35,V33,V6), P_ld-{F}(V35,V12,V34), P_rd-{F}(V1,V36,V37), P_mult-{F}(V37,V38,V11), P_mult-{F}(V36,V38,V39), P_mult-{F}(V39,V40,V32), P_mult-{F}(V38,V40,V41), P_mult-{F}(V38,V41,V24) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #386: mergings( V3 == V1, V1 == V4, V4 == V8, V8 == V12, V5 == V9, V9 == V13, V6 == V10, V7 == V11; #377 ), references = 1, size of lhs = 18:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V5), P_mult-{F}(V4,V6,V2), P_mult-{F}(V4,V7,V6), P_mult-{F}(V8,V7,V9), P_mult-{F}(V10,V4,V8), P_mult-{F}(V4,V10,V11), P_mult-{F}(V11,V12,V10), P_mult-{F}(V10,V12,V13), P_mult-{F}(V10,V13,V14), P_mult-{F}(V10,V3,V15), P_mult-{F}(V5,V10,V16), V16 == V15 | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #396: mergings( V3 == V4, V4 == V5, V5 == V9, V9 == V13, V6 == V10, V10 == V1, V7 == V11, V8 == V12; #387 ), references = 3, size of lhs = 16:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V5), P_mult-{F}(V4,V6,V2), P_mult-{F}(V4,V7,V6), P_mult-{F}(V8,V7,V9), P_mult-{F}(V10,V4,V8), P_mult-{F}(V4,V10,V11), P_mult-{F}(V11,V12,V10), P_mult-{F}(V10,V12,V13), P_mult-{F}(V10,V13,V14), P_mult-{F}(V5,V10,V15) | P_mult-{T}(V10,V3,V15)
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #409: mergings( V30 == V32, V3 == V4, V4 == V5, V5 == V9, V9 == V13, V13 == V14, V6 == V10, V10 == V15, V7 == V11, V8 == V12; #398 ), references = 2, size of lhs = 26:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V5), P_mult-{F}(V3,V3,V6), P_mult-{F}(V4,V7,V2), P_mult-{F}(V4,V8,V7), P_mult-{F}(V9,V3,V10), pppp0-{F}(V10,V3,V11), P_mult-{F}(V11,V4,V12), P_mult-{F}(V12,V8,V13), P_mult-{F}(V4,V11,V14), P_mult-{F}(V14,V15,V11), P_mult-{F}(V11,V15,V16), P_mult-{F}(V5,V11,V17), P_mult-{F}(V3,V11,V17), P_mult-{F}(V3,V10,V18), P_mult-{F}(V18,V11,V19), P_mult-{F}(V9,V11,V20), P_mult-{F}(V20,V6,V21), P_mult-{F}(V10,V17,V21), P_mult-{F}(V10,V3,V22), P_mult-{F}(V22,V11,V21) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #426: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V12, V12 == V16, V16 == V17, V5 == V9, V9 == V13, V13 == V0, V19 == V22, V10 == V14, V11 == V15; #412 ), references = 2, size of lhs = 26:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V3), P_mult-{F}(V3,V3,V5), P_mult-{F}(V4,V6,V2), P_mult-{F}(V4,V7,V6), P_mult-{F}(V8,V3,V9), pppp0-{F}(V9,V3,V10), P_mult-{F}(V5,V10,V11), P_mult-{F}(V10,V4,V12), P_mult-{F}(V12,V7,V13), P_mult-{F}(V4,V10,V14), P_mult-{F}(V14,V15,V10), P_mult-{F}(V10,V15,V16), P_mult-{F}(V17,V3,V9), P_mult-{F}(V8,V11,V18), P_mult-{F}(V3,V9,V19), P_mult-{F}(V19,V10,V20), P_mult-{F}(V17,V10,V21), P_mult-{F}(V21,V5,V18), P_mult-{F}(V9,V3,V22), P_mult-{F}(V22,V10,V18) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #443: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V13, V13 == V17, V17 == V18, V6 == V10, V10 == V14, V14 == V19, V18 == V21, V11 == V15, V12 == V16; #428 ), references = 2, size of lhs = 20:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V3,V3,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V3), P_mult-{F}(V4,V5,V2), P_mult-{F}(V4,V6,V5), P_mult-{F}(V2,V7,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V8,V6,V9), P_mult-{F}(V4,V7,V10), P_mult-{F}(V10,V11,V7), P_mult-{F}(V7,V11,V12), pppp0-{F}(V13,V3,V7), P_mult-{F}(V3,V13,V14), P_mult-{F}(V14,V3,V13), P_mult-{F}(V13,V3,V14) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #461: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V14, V14 == V18, V18 == V19, V7 == V11, V11 == V15, V15 == V0, V12 == V16, V13 == V17; #446 ), references = 2, size of lhs = 14:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V2,V3,V1), P_rd-{F}(V3,V2,V3), P_mult-{F}(V3,V3,V2), pppp1-{F}(V3,V4), P_mult-{F}(V2,V2,V5), P_mult-{F}(V2,V5,V2), P_mult-{F}(V3,V4,V6), P_mult-{F}(V6,V3,V4), P_mult-{F}(V4,V3,V6) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #472: mergings( V5 == V6, V6 == V9, V3 == V7, V4 == V8; #466 ), references = 1, size of lhs = 24:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V2,V3,V1), P_rd-{F}(V3,V2,V3), P_mult-{F}(V3,V3,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V5), pppp1-{F}(V3,V6), P_mult-{F}(V6,V4,V7), P_mult-{F}(V4,V6,V8), P_mult-{F}(V8,V9,V6), P_mult-{F}(V6,V9,V10), P_mult-{F}(V5,V6,V11), P_mult-{F}(V3,V6,V11), P_mult-{F}(V2,V2,V12), P_mult-{F}(V2,V12,V2), P_mult-{F}(V13,V11,V6), P_mult-{F}(V13,V6,V11), P_mult-{F}(V4,V14,V2), P_mult-{F}(V4,V15,V14), P_mult-{F}(V7,V15,V16) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #477: mergings( V5 == V6, V6 == V9, V3 == V7, V4 == V8; #467 ), references = 1, size of lhs = 30:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V3,V3,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V5), P_mult-{F}(V6,V3,V1), P_rd-{F}(V3,V6,V3), P_mult-{F}(V4,V7,V2), P_mult-{F}(V4,V8,V7), P_mult-{F}(V6,V9,V2), P_mult-{F}(V6,V10,V9), P_mult-{F}(V2,V11,V11), P_mult-{F}(V11,V6,V12), P_mult-{F}(V12,V10,V13), P_mult-{F}(V6,V11,V14), P_mult-{F}(V14,V15,V11), P_mult-{F}(V11,V15,V16), pppp0-{F}(V17,V3,V11), P_mult-{F}(V17,V4,V18), P_mult-{F}(V18,V8,V19), P_mult-{F}(V4,V17,V20), P_mult-{F}(V20,V21,V17), P_mult-{F}(V17,V21,V22), P_mult-{F}(V5,V17,V23), P_mult-{F}(V3,V17,V23), P_mult-{F}(V24,V23,V17), P_mult-{F}(V24,V17,V23) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #488: mergings( V10 == V20, V3 == V6, V6 == V7, V7 == V20, V4 == V8, V5 == V9; #480 ), references = 1, size of lhs = 21:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V2,V3,V1), P_rd-{F}(V3,V2,V3), P_mult-{F}(V3,V3,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V3), pppp1-{F}(V3,V5), P_mult-{F}(V2,V5,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V4,V5,V7), P_mult-{F}(V7,V8,V5), P_mult-{F}(V5,V8,V9), P_mult-{F}(V2,V2,V10), P_mult-{F}(V2,V10,V2), P_mult-{F}(V4,V11,V2), P_mult-{F}(V4,V12,V11), P_mult-{F}(V6,V12,V13) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #503: mergings( V6 == V14, V9 == V13, V15 == V16, V14 == V10, V0 == V7, V7 == V11, V11 == V10, V1 == V3, V2 == V8, V8 == V12, V3 == V13; #491 ), references = 1, size of lhs = 11:
% 171.85/172.02 P_op_c-{F}(V0), P_op_e-{F}(V0), P_op_f-{F}(V1), P_op_d-{F}(V2), P_unit-{F}(V3), P_rd-{F}(V0,V0,V3), P_mult-{F}(V3,V0,V0), P_rd-{F}(V0,V3,V0), P_mult-{F}(V0,V0,V3), P_mult-{F}(V3,V3,V4), P_mult-{F}(V3,V4,V3) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #506: exists( #17, #10 ), references = 25, size of lhs = 4:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_mult-{F}(V1,V3,V4) | P_ld-{T}(V3,V4,V2)
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #508: exists( #16, #0 ), references = 33, size of lhs = 1:
% 171.85/172.02 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #533: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V0 == V9, V9 == V11, V11 == V16, V18 == V19, V5 == V13; #520 ), references = 1, size of lhs = 34:
% 171.85/172.02 P_op_d-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_op_c-{F}(V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V3,V1), P_rd-{F}(V3,V4,V3), P_mult-{F}(V0,V3,V5), P_mult-{F}(V3,V3,V5), pppp0-{F}(V5,V3,V6), P_mult-{F}(V5,V6,V7), P_mult-{F}(V6,V4,V8), P_mult-{F}(V4,V6,V9), P_mult-{F}(V9,V10,V6), P_mult-{F}(V6,V10,V11), P_mult-{F}(V12,V3,V5), P_mult-{F}(V12,V6,V13), P_mult-{F}(V3,V5,V14), P_mult-{F}(V5,V3,V14), P_mult-{F}(V14,V3,V2), P_mult-{F}(V6,V3,V15), P_mult-{F}(V16,V6,V7), P_mult-{F}(V16,V3,V17), P_mult-{F}(V3,V17,V2), P_mult-{F}(V4,V18,V2), P_mult-{F}(V4,V19,V18), P_mult-{F}(V8,V19,V20), P_mult-{F}(V5,V21,V22), P_mult-{F}(V5,V22,V23), P_mult-{F}(V15,V21,V24), P_mult-{F}(V24,V23,V25), P_mult-{F}(V25,V26,V13), P_mult-{F}(V23,V26,V27), P_mult-{F}(V23,V27,V2) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #554: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V18, V0 == V5, V5 == V11, V11 == V13, V13 == V19, V21 == V22, V19 == V8, V8 == V16; #537 ), references = 1, size of lhs = 27:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_rd-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V1), P_rd-{F}(V0,V3,V0), P_mult-{F}(V0,V0,V4), pppp0-{F}(V4,V0,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V5,V3,V7), P_mult-{F}(V3,V5,V8), P_mult-{F}(V8,V9,V5), P_mult-{F}(V5,V9,V10), P_mult-{F}(V0,V4,V11), P_mult-{F}(V4,V0,V11), P_mult-{F}(V11,V0,V2), P_mult-{F}(V12,V5,V6), P_mult-{F}(V12,V0,V13), P_mult-{F}(V0,V13,V2), P_mult-{F}(V4,V2,V14), P_mult-{F}(V4,V14,V2), P_mult-{F}(V2,V2,V15), P_mult-{F}(V2,V15,V2), P_mult-{F}(V3,V16,V2), P_mult-{F}(V3,V17,V16), P_mult-{F}(V7,V17,V18) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #573: mergings( V3 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V19, V5 == V6, V6 == V12, V12 == V14, V14 == V20, V0 == V22, V27 == V28, V20 == V9, V9 == V17; #555 ), references = 1, size of lhs = 24:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_rd-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V1), P_rd-{F}(V0,V3,V0), P_mult-{F}(V0,V0,V4), pppp0-{F}(V4,V0,V5), P_mult-{F}(V5,V3,V6), P_mult-{F}(V3,V5,V7), P_mult-{F}(V7,V8,V5), P_mult-{F}(V5,V8,V9), P_mult-{F}(V0,V4,V10), P_mult-{F}(V10,V0,V2), P_mult-{F}(V4,V0,V10), P_mult-{F}(V0,V10,V2), P_mult-{F}(V4,V2,V11), P_mult-{F}(V4,V11,V2), P_mult-{F}(V2,V2,V12), P_mult-{F}(V2,V12,V2), P_mult-{F}(V3,V13,V2), P_mult-{F}(V3,V14,V13), P_mult-{F}(V6,V14,V15) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #596: mergings( V3 == V4, V25 == V26, V17 == V20, V4 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V20, V6 == V7, V7 == V13, V13 == V15, V15 == V0, V1 == V21, V22 == V23, V0 == V10, V10 == V18; #576 ), references = 1, size of lhs = 17:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V0,V1), P_rd-{F}(V0,V2,V0), pppp1-{F}(V0,V3), P_mult-{F}(V0,V0,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V0,V4,V2), P_mult-{F}(V3,V2,V5), P_mult-{F}(V3,V5,V2), P_mult-{F}(V2,V2,V6), P_mult-{F}(V2,V6,V2) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #627: mergings( V15 == V21, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V11, V0 == V7, V12 == V13, V7 == V8; #615 ), references = 1, size of lhs = 20:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V3,V0,V4), pppp0-{F}(V4,V0,V5), P_mult-{F}(V2,V5,V6), P_mult-{F}(V0,V4,V7), P_mult-{F}(V7,V5,V8), P_mult-{F}(V3,V5,V9), P_mult-{F}(V4,V0,V10), P_ld-{F}(V10,V5,V5), P_mult-{F}(V10,V5,V5), P_mult-{F}(V2,V11,V12), P_mult-{F}(V2,V12,V13), P_mult-{F}(V6,V11,V14), P_mult-{F}(V14,V13,V15), P_mult-{F}(V15,V16,V9), P_mult-{F}(V13,V16,V17), P_mult-{F}(V13,V17,V1) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #640: mergings( V31 == V39, V3 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V14, V8 == V9, V9 == V0, V16 == V19, V4 == V0, V0 == V12; #616 ), references = 1, size of lhs = 31:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_rd-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V1), P_rd-{F}(V0,V3,V0), P_mult-{F}(V0,V0,V4), P_mult-{F}(V3,V5,V2), P_mult-{F}(V3,V6,V5), P_mult-{F}(V4,V7,V8), P_mult-{F}(V4,V8,V9), P_mult-{F}(V9,V10,V2), P_mult-{F}(V9,V11,V10), P_mult-{F}(V12,V0,V13), pppp0-{F}(V13,V0,V14), P_mult-{F}(V4,V14,V15), P_mult-{F}(V15,V7,V16), P_mult-{F}(V16,V9,V17), P_mult-{F}(V17,V11,V18), P_mult-{F}(V12,V14,V18), P_mult-{F}(V14,V3,V19), P_mult-{F}(V19,V6,V20), P_mult-{F}(V3,V14,V21), P_mult-{F}(V21,V22,V14), P_mult-{F}(V14,V22,V23), P_mult-{F}(V0,V13,V24), P_mult-{F}(V24,V14,V25), P_mult-{F}(V13,V0,V26), P_ld-{F}(V26,V14,V14), P_mult-{F}(V26,V14,V14) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #656: mergings( V18 == V21, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V13, V5 == V9, V14 == V0, V9 == V10; #643 ), references = 1, size of lhs = 15:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V2,V3,V1), P_mult-{F}(V1,V1,V4), P_mult-{F}(V1,V4,V1), P_mult-{F}(V2,V0,V5), pppp0-{F}(V5,V0,V6), P_mult-{F}(V0,V5,V7), P_mult-{F}(V7,V6,V8), P_mult-{F}(V5,V0,V9), P_ld-{F}(V9,V6,V6), P_mult-{F}(V9,V6,V6) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #670: mergings( V24 == V32, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V15, V9 == V10, V10 == V16, V18 == V0, V5 == V16, V16 == V13; #644 ), references = 1, size of lhs = 26:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_rd-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V1), P_rd-{F}(V0,V3,V0), P_mult-{F}(V0,V0,V4), P_mult-{F}(V4,V2,V5), P_mult-{F}(V4,V5,V2), P_mult-{F}(V2,V2,V6), P_mult-{F}(V2,V6,V2), P_mult-{F}(V4,V0,V7), pppp0-{F}(V7,V0,V8), P_mult-{F}(V8,V3,V9), P_mult-{F}(V3,V8,V10), P_mult-{F}(V10,V11,V8), P_mult-{F}(V8,V11,V12), P_mult-{F}(V0,V7,V13), P_mult-{F}(V13,V8,V14), P_mult-{F}(V7,V0,V15), P_ld-{F}(V15,V8,V8), P_mult-{F}(V15,V8,V8), P_mult-{F}(V3,V16,V2), P_mult-{F}(V3,V17,V16), P_mult-{F}(V9,V17,V18) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #689: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V13, V0 == V9, V14 == V15, V9 == V10; #676 ), references = 1, size of lhs = 12:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), pppp1-{F}(V0,V1), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V2), P_unit-{F}(V2), P_mult-{F}(V0,V0,V3), P_mult-{F}(V3,V0,V1), P_mult-{F}(V3,V2,V4), P_mult-{F}(V3,V4,V2), P_mult-{F}(V2,V2,V5), P_mult-{F}(V2,V5,V2) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #704: mergings( V3 == V4, V20 == V21, V13 == V16, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V16, V10 == V11, V11 == V0, V17 == V18, V6 == V0, V0 == V14; #677 ), references = 1, size of lhs = 16:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_op_e-{F}(V1), P_unit-{F}(V2), P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V0,V1), P_rd-{F}(V0,V2,V0), pppp1-{F}(V0,V3), P_mult-{F}(V0,V3,V2), P_mult-{F}(V3,V0,V2), P_mult-{F}(V0,V0,V4), P_mult-{F}(V4,V0,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V4,V5,V2), P_mult-{F}(V2,V2,V6), P_mult-{F}(V2,V6,V2) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #715: mergings( V6 == V8, V8 == V9, V3 == V4, V4 == V5; #710 ), references = 1, size of lhs = 6:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V1), pppp0-{F}(V1,V1,V2), P_mult-{F}(V1,V1,V3), P_mult-{F}(V3,V2,V4) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #719: mergings( V3 == V4, V4 == V5; #716 ), references = 1, size of lhs = 5:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V1), pppp0-{F}(V1,V1,V2), P_mult-{F}(V1,V1,V3) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #723: mergings( V2 == V3, V3 == V4; #720 ), references = 1, size of lhs = 5:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), pppp1-{F}(V1,V1), P_op_d-{F}(V1), P_mult-{F}(V1,V1,V2) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #760: mergings( V3 == V4, V4 == V5, V5 == V7, V6 == V8; #755 ), references = 4, size of lhs = 14:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V3), P_mult-{F}(V1,V4,V3), pppp0-{F}(V5,V1,V4), P_mult-{F}(V5,V2,V6), P_mult-{F}(V5,V4,V6), P_mult-{F}(V1,V5,V7), P_mult-{F}(V5,V1,V7), P_mult-{F}(V1,V8,V7), P_mult-{F}(V8,V4,V6), P_mult-{F}(V9,V6,V10), P_mult-{F}(V10,V1,V11) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #776: mergings( V18 == V22, V1 == V3, V3 == V4; #772 ), references = 4, size of lhs = 24:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V3), P_mult-{F}(V1,V4,V3), pppp0-{F}(V5,V1,V4), P_mult-{F}(V5,V2,V6), P_mult-{F}(V5,V4,V6), P_mult-{F}(V1,V5,V7), P_mult-{F}(V5,V1,V7), P_mult-{F}(V1,V8,V7), P_mult-{F}(V8,V4,V6), P_mult-{F}(V9,V10,V0), P_mult-{F}(V9,V11,V10), P_mult-{F}(V12,V11,V13), P_mult-{F}(V14,V9,V12), P_mult-{F}(V9,V14,V15), P_mult-{F}(V15,V16,V14), P_mult-{F}(V14,V16,V17), P_mult-{F}(V14,V17,V18), P_mult-{F}(V14,V19,V6), P_mult-{F}(V14,V20,V19), P_mult-{F}(V15,V20,V21), P_mult-{F}(V21,V1,V22) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #781: mergings( V14 == V16, V3 == V4, V4 == V5; #777 ), references = 4, size of lhs = 17:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), pppp0-{F}(V2,V1,V3), P_mult-{F}(V3,V1,V4), P_mult-{F}(V1,V3,V4), P_mult-{F}(V2,V1,V5), P_mult-{F}(V1,V2,V5), P_mult-{F}(V2,V6,V3), P_mult-{F}(V2,V7,V3), P_mult-{F}(V8,V6,V2), P_mult-{F}(V9,V2,V8), P_mult-{F}(V2,V9,V10), P_mult-{F}(V8,V7,V11), P_mult-{F}(V11,V1,V12), P_mult-{F}(V9,V13,V0), P_mult-{F}(V9,V14,V13), P_mult-{F}(V10,V14,V15) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #789: mergings( V9 == V12, V3 == V4, V4 == V5, V5 == V6; #784 ), references = 1, size of lhs = 13:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), pppp0-{F}(V2,V0,V2), P_mult-{F}(V2,V3,V2), P_mult-{F}(V2,V4,V2), P_mult-{F}(V5,V3,V2), P_mult-{F}(V5,V4,V2), P_mult-{F}(V6,V2,V5), P_mult-{F}(V2,V6,V7), P_mult-{F}(V6,V8,V1), P_mult-{F}(V6,V9,V8), P_mult-{F}(V7,V9,V10) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #801: mergings( V3 == V4; #797 ), references = 1, size of lhs = 7:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V1), P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V1), P_mult-{F}(V2,V0,V2), pppp0-{F}(V2,V1,V0) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #803: mergings( V3 == V4; #798 ), references = 3, size of lhs = 10:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V0,V3), P_mult-{F}(V0,V4,V3), pppp0-{F}(V5,V0,V4), P_mult-{F}(V5,V2,V6), P_mult-{F}(V5,V4,V6), P_mult-{F}(V7,V6,V5) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #805: mergings( V3 == V4; #799 ), references = 2, size of lhs = 20:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V0,V3), P_mult-{F}(V0,V4,V3), pppp0-{F}(V5,V0,V4), P_mult-{F}(V5,V2,V6), P_mult-{F}(V5,V4,V6), P_mult-{F}(V7,V8,V1), P_mult-{F}(V7,V9,V8), P_mult-{F}(V10,V9,V11), P_mult-{F}(V12,V7,V10), P_mult-{F}(V7,V12,V13), P_mult-{F}(V13,V14,V12), P_mult-{F}(V12,V14,V15), P_mult-{F}(V12,V15,V16), P_mult-{F}(V13,V17,V5), P_mult-{F}(V12,V17,V18), P_mult-{F}(V12,V18,V6) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #839: mergings( V3 == V4, V4 == V6, V6 == V8, V0 == V5, V5 == V7, V8 == V10; #830 ), references = 1, size of lhs = 6:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V2,V0,V1), P_mult-{F}(V0,V2,V1), pppp0-{F}(V3,V0,V2) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #867: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V0 == V6, V9 == V20; #860 ), references = 1, size of lhs = 17:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V2,V0,V3), P_mult-{F}(V0,V2,V3), pppp0-{F}(V4,V0,V2), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V4,V4), P_mult-{F}(V7,V0,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V6,V9,V0), P_mult-{F}(V0,V9,V10), P_mult-{F}(V0,V10,V11), P_mult-{F}(V7,V12,V1), P_mult-{F}(V7,V13,V12), P_mult-{F}(V8,V13,V14) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #876: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V0 == V7, V7 == V9, V4 == V9, V11 == V22; #859 ), references = 1, size of lhs = 17:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V2,V0,V3), P_mult-{F}(V0,V2,V3), pppp0-{F}(V4,V0,V2), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V4,V4), P_mult-{F}(V7,V0,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V6,V9,V0), P_mult-{F}(V0,V9,V10), P_mult-{F}(V0,V10,V11), P_mult-{F}(V7,V12,V1), P_mult-{F}(V7,V13,V12), P_mult-{F}(V8,V13,V14) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #885: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V9, V4 == V7, V10 == V0; #877 ), references = 1, size of lhs = 16:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V2,V0,V3), P_mult-{F}(V0,V2,V3), pppp0-{F}(V4,V0,V2), P_mult-{F}(V5,V4,V4), P_mult-{F}(V6,V0,V5), P_mult-{F}(V0,V6,V7), P_mult-{F}(V5,V8,V0), P_mult-{F}(V0,V8,V9), P_mult-{F}(V0,V9,V10), P_mult-{F}(V6,V11,V1), P_mult-{F}(V6,V12,V11), P_mult-{F}(V7,V12,V13) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #894: mergings( V3 == V5, V5 == V6, V6 == V9, V9 == V11, V7 == V8, V8 == V10, V4 == V10, V12 == V0; #878 ), references = 1, size of lhs = 16:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V2,V0,V3), P_mult-{F}(V0,V2,V3), pppp0-{F}(V4,V0,V2), P_mult-{F}(V5,V4,V4), P_mult-{F}(V6,V0,V5), P_mult-{F}(V0,V6,V7), P_mult-{F}(V5,V8,V0), P_mult-{F}(V0,V8,V9), P_mult-{F}(V0,V9,V10), P_mult-{F}(V6,V11,V1), P_mult-{F}(V6,V12,V11), P_mult-{F}(V7,V12,V13) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #928: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V0 == V7; #920 ), references = 1, size of lhs = 19:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V0,V2), P_mult-{F}(V3,V4,V5), pppp0-{F}(V6,V0,V5), P_mult-{F}(V6,V0,V7), P_mult-{F}(V0,V6,V7), P_mult-{F}(V6,V8,V5), P_mult-{F}(V6,V9,V5), P_mult-{F}(V10,V8,V6), P_mult-{F}(V11,V6,V10), P_mult-{F}(V6,V11,V12), P_mult-{F}(V10,V9,V13), P_mult-{F}(V13,V0,V14), P_mult-{F}(V11,V15,V1), P_mult-{F}(V11,V16,V15), P_mult-{F}(V12,V16,V17) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #952: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V16, V7 == V8, V8 == V13, V13 == V0, V17 == V27; #937 ), references = 1, size of lhs = 15:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V5), pppp0-{F}(V5,V0,V6), P_mult-{F}(V2,V5,V6), P_mult-{F}(V0,V7,V1), P_mult-{F}(V8,V0,V7), P_mult-{F}(V8,V9,V6), P_mult-{F}(V2,V10,V1), P_mult-{F}(V2,V11,V10), P_mult-{F}(V6,V11,V12) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #986: mergings( V19 == V20, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V6 == V0, V0 == V10, V16 == V17, V10 == V12, V17 == V20; #973 ), references = 1, size of lhs = 13:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V3,V0,V1), P_mult-{F}(V0,V3,V1), P_mult-{F}(V3,V2,V4), P_mult-{F}(V3,V4,V1), pppp0-{F}(V5,V0,V6), P_mult-{F}(V0,V5,V6), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V0,V7), P_mult-{F}(V0,V6,V7) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1034: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V7 == V9; #1025 ), references = 1, size of lhs = 15:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V0,V6,V5), P_mult-{F}(V6,V2,V7), pppp0-{F}(V8,V0,V7), P_mult-{F}(V8,V7,V9), P_mult-{F}(V10,V9,V8), P_mult-{F}(V11,V7,V12), P_mult-{F}(V12,V0,V13), P_mult-{F}(V11,V13,V3), P_mult-{F}(V4,V11,V14), P_mult-{F}(V14,V11,V1) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1041: mergings( V16 == V21, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V7 == V9; #1026 ), references = 1, size of lhs = 17:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V1,V6,V5), P_mult-{F}(V6,V2,V7), pppp0-{F}(V8,V1,V7), P_mult-{F}(V1,V8,V9), P_mult-{F}(V9,V7,V10), P_mult-{F}(V8,V1,V11), P_mult-{F}(V11,V7,V12), P_mult-{F}(V8,V12,V3), P_mult-{F}(V4,V8,V13), P_mult-{F}(V13,V8,V0), P_mult-{F}(V8,V7,V14), P_mult-{F}(V1,V14,V10), P_mult-{F}(V14,V1,V12) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1048: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V7 == V10; #1027 ), references = 1, size of lhs = 18:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V1,V6,V5), P_mult-{F}(V6,V2,V7), pppp0-{F}(V8,V1,V7), P_mult-{F}(V8,V7,V9), P_mult-{F}(V1,V8,V10), P_mult-{F}(V8,V1,V10), P_mult-{F}(V1,V11,V10), P_mult-{F}(V11,V7,V9), P_mult-{F}(V12,V9,V7), P_mult-{F}(V13,V7,V14), P_mult-{F}(V14,V1,V15), P_mult-{F}(V13,V15,V3), P_mult-{F}(V4,V13,V16), P_mult-{F}(V16,V13,V0) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1110: mergings( V3 == V4; #1108 ), references = 1, size of lhs = 16:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), pppp0-{F}(V2,V0,V3), P_mult-{F}(V2,V0,V4), P_mult-{F}(V0,V2,V4), P_mult-{F}(V2,V5,V3), P_mult-{F}(V2,V6,V3), P_mult-{F}(V7,V5,V2), P_mult-{F}(V8,V2,V7), P_mult-{F}(V2,V8,V9), P_mult-{F}(V7,V6,V10), P_mult-{F}(V10,V0,V11), P_mult-{F}(V8,V12,V1), P_mult-{F}(V8,V13,V12), P_mult-{F}(V9,V13,V14) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1120: mergings( V11 == V20, V1 == V3, V3 == V4, V4 == V6; #1115 ), references = 1, size of lhs = 23:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V1,V2,V1), P_mult-{F}(V1,V3,V2), P_mult-{F}(V1,V4,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V3,V5), pppp0-{F}(V5,V0,V7), P_mult-{F}(V5,V4,V7), P_mult-{F}(V5,V0,V8), P_mult-{F}(V0,V5,V8), P_mult-{F}(V5,V9,V7), P_mult-{F}(V1,V9,V10), P_mult-{F}(V10,V0,V11), P_mult-{F}(V1,V5,V12), P_mult-{F}(V12,V13,V5), P_mult-{F}(V5,V13,V14), P_mult-{F}(V5,V14,V15), P_mult-{F}(V12,V16,V5), P_mult-{F}(V5,V16,V17), P_mult-{F}(V5,V17,V18), P_mult-{F}(V1,V18,V19) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1149: mergings( V0 == V16; #1147 ), references = 1, size of lhs = 21:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V3), P_mult-{F}(V1,V4,V3), pppp0-{F}(V5,V1,V4), P_mult-{F}(V5,V2,V6), P_mult-{F}(V5,V4,V6), P_mult-{F}(V1,V5,V7), P_mult-{F}(V5,V1,V7), P_mult-{F}(V1,V8,V7), P_mult-{F}(V8,V4,V6), P_mult-{F}(V9,V1,V10), P_mult-{F}(V11,V9,V6), P_mult-{F}(V12,V11,V11), P_mult-{F}(V11,V12,V13), P_mult-{F}(V11,V14,V11), P_mult-{F}(V11,V11,V15), P_mult-{F}(V12,V16,V0), P_mult-{F}(V12,V17,V16), P_mult-{F}(V13,V17,V18) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1153: mergings( V5 == V7, V0 == V11; #1150 ), references = 1, size of lhs = 14:
% 171.85/172.02 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V2,V1,V3), pppp0-{F}(V4,V1,V2), P_mult-{F}(V4,V1,V5), P_mult-{F}(V1,V4,V5), P_mult-{F}(V6,V4,V4), P_mult-{F}(V4,V6,V7), P_mult-{F}(V4,V8,V4), P_mult-{F}(V4,V4,V9), P_mult-{F}(V6,V10,V0), P_mult-{F}(V6,V11,V10), P_mult-{F}(V7,V11,V12) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1159: mergings( V5 == V10, V3 == V4; #1156 ), references = 1, size of lhs = 13:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V2,V3,V3), pppp0-{F}(V3,V0,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V0,V3,V5), P_mult-{F}(V3,V2,V6), P_mult-{F}(V3,V7,V3), P_mult-{F}(V3,V3,V8), P_mult-{F}(V2,V9,V1), P_mult-{F}(V2,V10,V9), P_mult-{F}(V6,V10,V11) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1163: mergings( V0 == V1, V3 == V5; #1160 ), references = 1, size of lhs = 12:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V2,V3,V3), pppp0-{F}(V3,V0,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V0,V3,V5), P_mult-{F}(V3,V2,V6), P_mult-{F}(V3,V7,V3), P_mult-{F}(V2,V8,V1), P_mult-{F}(V2,V9,V8), P_mult-{F}(V6,V9,V10) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1170: mergings( V1 == V10, V3 == V4, V4 == V5; #1166 ), references = 1, size of lhs = 10:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V2,V3,V3), pppp0-{F}(V3,V0,V4), P_mult-{F}(V3,V2,V5), P_mult-{F}(V3,V6,V3), P_mult-{F}(V2,V7,V1), P_mult-{F}(V2,V8,V7), P_mult-{F}(V5,V8,V9) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1175: mergings( V1 == V9, V3 == V4, V4 == V5; #1171 ), references = 1, size of lhs = 10:
% 171.85/172.02 P_op_d-{F}(V0), P_op_c-{F}(V0), pppp1-{F}(V0,V1), P_unit-{F}(V2), P_mult-{F}(V3,V1,V1), P_mult-{F}(V1,V3,V4), P_mult-{F}(V1,V5,V1), P_mult-{F}(V3,V6,V2), P_mult-{F}(V3,V7,V6), P_mult-{F}(V4,V7,V8) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1185: mergings( V0 == V6, V6 == V7, V7 == V8, V8 == V9, V1 == V3, V2 == V3; #1178 ), references = 1, size of lhs = 7:
% 171.85/172.02 P_op_e-{F}(V0), P_op_d-{F}(V0), P_op_c-{F}(V0), P_op_f-{F}(V1), P_unit-{F}(V2), P_mult-{F}(V2,V2,V3), P_mult-{F}(V2,V3,V2) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1193: mergings( V1 == V5, V5 == V6, V6 == V7, V7 == V8, V2 == V4, V3 == V4; #1186 ), references = 1, size of lhs = 6:
% 171.85/172.02 P_op_e-{F}(V0), P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V1,V2,V1) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1209: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V8, V6 == V7, V7 == V8; #1200 ), references = 1, size of lhs = 2:
% 171.85/172.02 P_unit-{F}(V0), P_mult-{F}(V0,V0,V0) | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 #1212: exists( #19, #1210 ), references = 1, size of lhs = 0:
% 171.85/172.02 FALSE | FALSE
% 171.85/172.02 (used 0 times, uses = {})
% 171.85/172.02
% 171.85/172.02 number of learnt formulas = 88
% 171.85/172.02
% 171.85/172.02
% 171.85/172.02 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 171.85/172.02
% 171.85/172.02 randbase = 1
%------------------------------------------------------------------------------