TSTP Solution File: HEN011-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:04:45 EDT 2022
% Result : Unsatisfiable 59.08s 59.30s
% Output : Refutation 59.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : HEN011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 21:02:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 59.08/59.30 GeoParameters:
% 59.08/59.30
% 59.08/59.30 tptp_input = 1
% 59.08/59.30 tptp_output = 0
% 59.08/59.30 nonempty = 1
% 59.08/59.30 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.08/59.30 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 59.08/59.30
% 59.08/59.30
% 59.08/59.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.08/59.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.08/59.30
% 59.08/59.30 RuleSystem INPUT:
% 59.08/59.30
% 59.08/59.30 Initial Rules:
% 59.08/59.30 #0: input, references = 77, size of lhs = 2:
% 59.08/59.30 P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1: input, references = 14, size of lhs = 2:
% 59.08/59.30 P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2: input, references = 48, size of lhs = 2:
% 59.08/59.30 P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #3: input, references = 11, size of lhs = 6:
% 59.08/59.30 P_zero-{F}(V0), quotient-{F}(V3,V4,V1), quotient-{F}(V5,V6,V2), quotient-{F}(V7,V6,V4), quotient-{F}(V8,V7,V5), quotient-{F}(V8,V6,V3) | less_equal-{T}(V1,V2)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #4: input, references = 34, size of lhs = 2:
% 59.08/59.30 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #5: input, references = 17, size of lhs = 4:
% 59.08/59.30 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #6: input, references = 17, size of lhs = 3:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #7: input, references = 91, size of lhs = 3:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #8: input, references = 10, size of lhs = 5:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #9: input, references = 5, size of lhs = 4:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3) | quotient-{T}(V1,V2,V3)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #10: input, references = 9, size of lhs = 6:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5) | quotient-{T}(V1,V4,V5)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #11: input, references = 10, size of lhs = 7:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5), P_idQ_idQb-{F}(V6) | quotient-{T}(V1,V5,V6)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #12: input, references = 9, size of lhs = 8:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5), P_idQ_idQb-{F}(V6), P_idQa_Q__idQ_idQb-{F}(V7) | quotient-{T}(V3,V6,V7)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #13: input, references = 12, size of lhs = 9:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5), P_idQ_idQb-{F}(V6), P_idQa_Q__idQ_idQb-{F}(V7), P_idQ_idQa-{F}(V8) | quotient-{T}(V1,V3,V8)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #14: input, references = 8, size of lhs = 10:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5), P_idQ_idQb-{F}(V6), P_idQa_Q__idQ_idQb-{F}(V7), P_idQ_idQa-{F}(V8), P_idQb_Q__idQ_idQa-{F}(V9) | quotient-{T}(V5,V8,V9)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #15: input, references = 14, size of lhs = 10:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5), P_idQ_idQb-{F}(V6), P_idQa_Q__idQ_idQb-{F}(V9), P_idQ_idQa-{F}(V8), P_idQb_Q__idQ_idQa-{F}(V9) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #16: input, references = 4, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_zero-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #17: input, references = 4, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_identity-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #18: input, references = 22, size of lhs = 2:
% 59.08/59.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #19: input, references = 4, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_a-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #20: input, references = 5, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_idQa-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #21: input, references = 6, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_b-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #22: input, references = 10, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_idQb-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #23: input, references = 12, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_idQ_idQb-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #24: input, references = 10, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_idQa_Q__idQ_idQb-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #25: input, references = 12, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_idQ_idQa-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #26: input, references = 8, size of lhs = 0:
% 59.08/59.30 FALSE | EXISTS V0: P_idQb_Q__idQ_idQa-{T}(V0)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 number of initial rules = 27
% 59.08/59.30
% 59.08/59.30 Simplifiers:
% 59.08/59.30 #27: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #28: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #29: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #30: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #31: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_idQa-{F}(V0), P_idQa-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #32: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #33: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_idQb-{F}(V0), P_idQb-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #34: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_idQ_idQb-{F}(V0), P_idQ_idQb-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #35: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_idQa_Q__idQ_idQb-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #36: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_idQ_idQa-{F}(V0), P_idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #37: unsound, references = 3, size of lhs = 3:
% 59.08/59.30 P_idQb_Q__idQ_idQa-{F}(V0), P_idQb_Q__idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 number of simplifiers = 11
% 59.08/59.30
% 59.08/59.30 Learnt:
% 59.08/59.30 #43: mergings( V1 == V4, V2 == V5; #40 ), references = 1, size of lhs = 4:
% 59.08/59.30 P_a-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), quotient-{F}(V2,V0,V3) | P_idQa-{T}(V3)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #48: mergings( V1 == V8, V2 == V9; #45 ), references = 4, size of lhs = 8:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_zero-{F}(V5), P_identity-{F}(V6), quotient-{F}(V1,V4,V7) | P_idQa_Q__idQ_idQb-{T}(V7)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #53: mergings( V1 == V10, V2 == V11; #50 ), references = 7, size of lhs = 10:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_idQa_Q__idQ_idQb-{F}(V5), P_idQ_idQa-{F}(V6), P_zero-{F}(V7), P_identity-{F}(V8), quotient-{F}(V3,V6,V9) | P_idQb_Q__idQ_idQa-{T}(V9)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #59: mergings( V1 == V9, V2 == V10; #56 ), references = 7, size of lhs = 9:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_idQa_Q__idQ_idQb-{F}(V5), P_zero-{F}(V6), P_identity-{F}(V7), quotient-{F}(V7,V1,V8) | P_idQ_idQa-{T}(V8)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #95: mergings( V1 == V2, V2 == V7, V7 == V11, V11 == V16, V16 == V21, V21 == V23, V12 == V17, V17 == V22, V22 == V24, V3 == V8, V8 == V13, V13 == V18, V18 == V25, V23 == V4, V4 == V6, V6 == V19, V19 == V26, V5 == V9, V9 == V14, V14 == V20, V20 == V27, V26 == V10, V10 == V15, V15 == V28; #70 ), references = 1, size of lhs = 6:
% 59.08/59.30 P_zero-{F}(V0), P_idQa-{F}(V0), P_idQb-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #100: mergings( V1 == V6, V2 == V7; #97 ), references = 1, size of lhs = 6:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_zero-{F}(V3), P_identity-{F}(V4), quotient-{F}(V4,V2,V5) | P_idQb-{T}(V5)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #111: mergings( V1 == V2, V2 == V11, V11 == V12; #107 ), references = 3, size of lhs = 13:
% 59.08/59.30 P_identity-{F}(V0), P_a-{F}(V1), P_idQa-{F}(V2), P_b-{F}(V3), P_idQb-{F}(V4), P_idQ_idQb-{F}(V5), P_idQa_Q__idQ_idQb-{F}(V6), P_idQ_idQa-{F}(V7), P_zero-{F}(V8), quotient-{F}(V9,V10,V7), quotient-{F}(V11,V10,V4), quotient-{F}(V11,V9,V12), quotient-{F}(V12,V10,V8) | P_idQb_Q__idQ_idQa-{T}(V8)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #144: mergings( V1 == V5, V5 == V7, V7 == V12, V12 == V20, V6 == V13, V13 == V15, V15 == V21, V2 == V8, V8 == V16, V16 == V22, V20 == V9, V9 == V17, V17 == V23, V3 == V10, V10 == V18, V18 == V24, V4 == V11, V11 == V19, V19 == V25; #124 ), references = 1, size of lhs = 11:
% 59.08/59.30 P_zero-{F}(V0), P_idQa-{F}(V0), P_identity-{F}(V1), quotient-{F}(V1,V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5), quotient-{F}(V6,V7,V2), quotient-{F}(V8,V7,V5), quotient-{F}(V8,V6,V9), quotient-{F}(V9,V7,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #167: mergings( V1 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V19, V9 == V14, V14 == V15, V15 == V20, V2 == V6, V6 == V11, V11 == V16, V16 == V21, V3 == V4, V4 == V19, V19 == V17, V17 == V22, V22 == V7, V7 == V12, V12 == V18, V18 == V23; #146 ), references = 1, size of lhs = 7:
% 59.08/59.30 P_zero-{F}(V0), P_idQa-{F}(V0), P_b-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), quotient-{F}(V1,V1,V3), quotient-{F}(V3,V0,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #177: mergings( V3 == V5, V4 == V6; #174 ), references = 1, size of lhs = 3:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V4) | P_divide-{T}(V2,V3,V4)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #205: mergings( V1 == V13, V13 == V19, V19 == V21, V2 == V14, V14 == V20, V20 == V22, V3 == V8, V8 == V15, V15 == V23, V4 == V9, V9 == V16, V16 == V24, V5 == V10, V10 == V17, V17 == V25, V24 == V6, V6 == V11, V11 == V26, V7 == V12, V12 == V18, V18 == V27; #183 ), references = 1, size of lhs = 8:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_idQb-{F}(V3), quotient-{F}(V1,V3,V4), P_idQ_idQb-{F}(V4), P_b-{F}(V5) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #230: mergings( V1 == V6, V6 == V15, V15 == V20, V20 == V22, V7 == V16, V16 == V21, V21 == V23, V2 == V8, V8 == V12, V12 == V17, V17 == V24, V3 == V5, V5 == V9, V9 == V18, V18 == V25, V4 == V10, V10 == V13, V13 == V19, V19 == V26, V25 == V11, V11 == V14, V14 == V27; #207 ), references = 1, size of lhs = 6:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_idQb-{F}(V3), P_b-{F}(V4) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #250: mergings( V1 == V2, V2 == V9, V9 == V10; #246 ), references = 1, size of lhs = 11:
% 59.08/59.30 P_identity-{F}(V0), P_a-{F}(V1), P_idQa-{F}(V2), P_b-{F}(V3), P_idQb-{F}(V4), P_idQ_idQb-{F}(V5), P_zero-{F}(V6), quotient-{F}(V7,V8,V5), quotient-{F}(V9,V8,V2), quotient-{F}(V9,V7,V10), quotient-{F}(V10,V8,V6) | P_idQa_Q__idQ_idQb-{T}(V6)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #272: mergings( V3 == V4, V4 == V6, V6 == V7; #268 ), references = 17, size of lhs = 6:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V5), quotient-{F}(V6,V4,V2), quotient-{F}(V6,V3,V7) | P_divide-{T}(V7,V5,V1)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #288: mergings( V1 == V2, V2 == V8, V8 == V10, V10 == V11, V3 == V7, V7 == V9; #281 ), references = 3, size of lhs = 8:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_identity-{F}(V3), P_zero-{F}(V4), quotient-{F}(V5,V2,V4), quotient-{F}(V3,V5,V6), quotient-{F}(V6,V2,V4) | P_idQb-{T}(V4)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #317: mergings( V1 == V2, V2 == V11, V11 == V13, V13 == V14, V3 == V10, V10 == V12; #310 ), references = 2, size of lhs = 11:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_idQa_Q__idQ_idQb-{F}(V5), P_identity-{F}(V6), P_zero-{F}(V7), quotient-{F}(V8,V1,V7), quotient-{F}(V6,V8,V9), quotient-{F}(V9,V1,V7) | P_idQ_idQa-{T}(V7)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #340: mergings( V7 == V14, V14 == V17, V6 == V8, V1 == V9, V2 == V10, V3 == V11, V4 == V12, V5 == V13; #331 ), references = 1, size of lhs = 12:
% 59.08/59.30 P_identity-{F}(V0), P_a-{F}(V1), P_idQa-{F}(V2), V2 == V0, less_equal-{F}(V2,V0), P_b-{F}(V3), P_idQb-{F}(V4), P_idQ_idQb-{F}(V5), P_zero-{F}(V6), quotient-{F}(V7,V2,V6), quotient-{F}(V0,V7,V8), quotient-{F}(V8,V2,V6) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #349: mergings( V6 == V12, V12 == V15, V5 == V7, V1 == V8, V2 == V9, V3 == V10, V4 == V11; #341 ), references = 1, size of lhs = 11:
% 59.08/59.30 P_identity-{F}(V0), P_a-{F}(V1), P_idQa-{F}(V2), V2 == V0, less_equal-{F}(V2,V0), P_b-{F}(V3), P_idQb-{F}(V4), P_zero-{F}(V5), quotient-{F}(V6,V2,V5), quotient-{F}(V0,V6,V7), quotient-{F}(V7,V2,V5) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #357: mergings( V5 == V10, V10 == V13, V4 == V6, V1 == V7, V2 == V8, V3 == V9; #350 ), references = 1, size of lhs = 10:
% 59.08/59.30 P_identity-{F}(V0), P_a-{F}(V1), P_idQa-{F}(V2), V2 == V0, less_equal-{F}(V2,V0), P_b-{F}(V3), P_zero-{F}(V4), quotient-{F}(V5,V2,V4), quotient-{F}(V0,V5,V6), quotient-{F}(V6,V2,V4) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #364: mergings( V4 == V8, V8 == V11, V3 == V5, V1 == V6, V2 == V7; #358 ), references = 1, size of lhs = 9:
% 59.08/59.30 P_identity-{F}(V0), P_a-{F}(V1), P_idQa-{F}(V2), V2 == V0, less_equal-{F}(V2,V0), P_zero-{F}(V3), quotient-{F}(V4,V2,V3), quotient-{F}(V0,V4,V5), quotient-{F}(V5,V2,V3) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #410: mergings( V3 == V5, V5 == V14, V14 == V15, V4 == V6, V6 == V16, V7 == V17, V8 == V18, V9 == V19, V10 == V20, V11 == V21, V12 == V15, V13 == V22; #396 ), references = 4, size of lhs = 11:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5), P_idQ_idQb-{F}(V6), P_idQ_idQa-{F}(V7), quotient-{F}(V8,V8,V5), quotient-{F}(V9,V8,V7) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #415: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8; #397 ), references = 1, size of lhs = 7:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), less_equal-{F}(V1,V2), V1 == V2, quotient-{F}(V3,V3,V4), quotient-{F}(V4,V5,V2), quotient-{F}(V6,V3,V5) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #438: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V4 == V6, V6 == V8; #431 ), references = 3, size of lhs = 6:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V2,V3), less_equal-{F}(V4,V3), V4 == V3, quotient-{F}(V5,V2,V4) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #451: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V4 == V6, V6 == V8, V8 == V10; #441 ), references = 2, size of lhs = 3:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1) | P_divide-{T}(V3,V3,V1)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #475: mergings( V1 == V9, V9 == V11, V11 == V13, V2 == V8, V8 == V10, V10 == V12; #468 ), references = 1, size of lhs = 11:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_identity-{F}(V5), P_zero-{F}(V6), quotient-{F}(V4,V4,V7), quotient-{F}(V8,V4,V7), quotient-{F}(V1,V8,V9), quotient-{F}(V9,V4,V6) | P_idQa_Q__idQ_idQb-{T}(V7)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #511: mergings( V1 == V2, V2 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V20, V20 == V25, V3 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V19, V19 == V26, V26 == V28, V4 == V12, V12 == V21, V21 == V29, V28 == V5, V5 == V22, V22 == V30, V6 == V13, V13 == V23, V23 == V31, V25 == V14, V14 == V24, V24 == V32; #483 ), references = 2, size of lhs = 11:
% 59.08/59.30 P_zero-{F}(V0), P_idQb-{F}(V0), P_identity-{F}(V1), P_idQa-{F}(V1), quotient-{F}(V1,V1,V2), P_a-{F}(V3), P_b-{F}(V4), quotient-{F}(V5,V5,V0), quotient-{F}(V6,V5,V2), quotient-{F}(V1,V1,V7), quotient-{F}(V7,V0,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #517: mergings( V1 == V7, V2 == V8; #514 ), references = 1, size of lhs = 7:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_zero-{F}(V4), P_identity-{F}(V5), quotient-{F}(V5,V3,V6) | P_idQ_idQb-{T}(V6)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #563: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V13, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V10 == V16, V11 == V14, V0 == V17; #550 ), references = 1, size of lhs = 14:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), P_idQa-{F}(V1), quotient-{F}(V1,V1,V2), P_a-{F}(V3), P_b-{F}(V4), quotient-{F}(V0,V4,V0), quotient-{F}(V5,V5,V0), quotient-{F}(V6,V5,V2), quotient-{F}(V1,V1,V7), quotient-{F}(V7,V0,V0), quotient-{F}(V8,V9,V1), quotient-{F}(V8,V4,V10), quotient-{F}(V10,V9,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #576: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V13, V13 == V14, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V10 == V16, V11 == V17, V0 == V18; #551 ), references = 2, size of lhs = 14:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), quotient-{F}(V0,V4,V0), P_idQ_idQb-{F}(V5), P_idQ_idQa-{F}(V6), quotient-{F}(V7,V7,V0), quotient-{F}(V8,V7,V6), quotient-{F}(V9,V10,V1), quotient-{F}(V9,V4,V11), quotient-{F}(V11,V10,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #655: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V10, V5 == V6, V6 == V8; #647 ), references = 4, size of lhs = 5:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V1), quotient-{F}(V5,V2,V4) | P_divide-{T}(V5,V3,V1)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #662: mergings( V3 == V6, V6 == V8, V8 == V10, V4 == V5, V5 == V7, V7 == V9; #648 ), references = 1, size of lhs = 6:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V2,V3), quotient-{F}(V4,V2,V3), quotient-{F}(V5,V2,V1), quotient-{F}(V6,V4,V5) | P_divide-{T}(V6,V2,V3)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #732: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13, V4 == V6, V6 == V8, V8 == V9, V9 == V11; #721 ), references = 20, size of lhs = 3:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V2)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #781: mergings( V3 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V13, V4 == V5, V5 == V7, V7 == V8, V8 == V11; #771 ), references = 19, size of lhs = 8:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V1), quotient-{F}(V5,V6,V2), quotient-{F}(V6,V3,V7), quotient-{F}(V8,V3,V7), quotient-{F}(V8,V5,V4) | P_divide-{T}(V5,V3,V7)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #851: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V15, V15 == V16, V16 == V18, V18 == V19, V4 == V6, V6 == V9, V9 == V10, V10 == V13, V13 == V14, V14 == V17; #835 ), references = 1, size of lhs = 16:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), less_equal-{F}(V2,V3), V2 == V3, quotient-{F}(V4,V2,V1), quotient-{F}(V5,V2,V1), quotient-{F}(V6,V2,V1), quotient-{F}(V7,V2,V1), quotient-{F}(V8,V9,V4), quotient-{F}(V9,V8,V5), quotient-{F}(V10,V8,V6), quotient-{F}(V10,V9,V3), quotient-{F}(V9,V10,V7), quotient-{F}(V11,V9,V3), quotient-{F}(V2,V11,V12), quotient-{F}(V12,V9,V1) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #876: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V16, V16 == V17, V17 == V20, V20 == V21, V21 == V23, V23 == V24, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V15, V15 == V18, V18 == V19, V19 == V22; #855 ), references = 6, size of lhs = 17:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V5,V2), quotient-{F}(V5,V3,V6), less_equal-{F}(V6,V7), V6 == V7, quotient-{F}(V3,V4,V8), quotient-{F}(V8,V6,V1), quotient-{F}(V9,V4,V7), quotient-{F}(V9,V3,V10), quotient-{F}(V10,V6,V1), quotient-{F}(V4,V9,V11), quotient-{F}(V11,V6,V1), quotient-{F}(V12,V4,V7), quotient-{F}(V6,V12,V13), quotient-{F}(V13,V4,V1) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #925: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V34, V34 == V35, V35 == V38, V38 == V39, V39 == V41, V41 == V42, V3 == V4, V4 == V7, V7 == V9, V9 == V17, V17 == V20, V20 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V33, V33 == V36, V36 == V37, V37 == V40; #889 ), references = 1, size of lhs = 18:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_identity-{F}(V5), P_zero-{F}(V6), quotient-{F}(V6,V7,V6), quotient-{F}(V4,V7,V6), quotient-{F}(V7,V1,V6), quotient-{F}(V5,V7,V8), quotient-{F}(V1,V7,V8), quotient-{F}(V8,V1,V9), quotient-{F}(V9,V4,V6), quotient-{F}(V1,V8,V10), quotient-{F}(V10,V4,V6), quotient-{F}(V7,V8,V11), quotient-{F}(V11,V4,V6) | P_idQa_Q__idQ_idQb-{T}(V8)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1019: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V12, V12 == V13, V13 == V16, V16 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V26, V26 == V27, V27 == V28, V28 == V31, V31 == V32, V32 == V34, V34 == V40, V40 == V41, V41 == V43, V43 == V45, V45 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V58, V58 == V59, V59 == V62, V62 == V63, V63 == V65, V65 == V66, V66 == V73, V73 == V80, V80 == V82, V2 == V5, V5 == V7, V7 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V21, V21 == V25, V25 == V29, V29 == V30, V30 == V33, V33 == V35, V35 == V42, V42 == V44, V44 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V57, V57 == V60, V60 == V61, V61 == V64, V64 == V74, V74 == V81, V81 == V83, V8 == V36, V36 == V69, V69 == V76, V76 == V84, V83 == V9, V9 == V70, V70 == V77, V77 == V85, V10 == V37, V37 == V71, V71 == V78, V78 == V86, V11 == V38, V38 == V72, V72 == V79, V79 == V87; #940 ), references = 1, size of lhs = 16:
% 59.08/59.30 P_zero-{F}(V0), quotient-{F}(V0,V1,V0), P_identity-{F}(V2), quotient-{F}(V1,V2,V0), P_idQa-{F}(V2), quotient-{F}(V2,V1,V3), quotient-{F}(V3,V2,V0), P_idQb-{F}(V3), quotient-{F}(V1,V2,V4), quotient-{F}(V4,V3,V0), quotient-{F}(V2,V1,V5), quotient-{F}(V5,V3,V0), quotient-{F}(V2,V2,V6), quotient-{F}(V3,V6,V3), P_a-{F}(V7), P_b-{F}(V8) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1114: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V22, V22 == V23, V23 == V26, V26 == V29, V29 == V30, V30 == V32, V32 == V33, V33 == V34, V34 == V36, V36 == V37, V37 == V38, V38 == V40, V40 == V41, V41 == V43, V43 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V53, V53 == V56, V56 == V58, V58 == V60, V60 == V62, V62 == V65, V65 == V66, V66 == V69, V69 == V70, V70 == V72, V72 == V73, V73 == V77, V77 == V82, V82 == V84, V3 == V6, V6 == V13, V13 == V16, V16 == V18, V18 == V24, V24 == V25, V25 == V27, V27 == V28, V28 == V31, V31 == V35, V35 == V39, V39 == V42, V42 == V44, V44 == V49, V49 == V51, V51 == V54, V54 == V55, V55 == V57, V57 == V59, V59 == V61, V61 == V63, V63 == V64, V64 == V67, V67 == V68, V68 == V71, V71 == V78, V78 == V83, V83 == V85, V8 == V19, V19 == V45, V45 == V74, V74 == V79, V79 == V86, V9 == V85, V85 == V20, V20 == V75, V75 == V80, V80 == V87, V10 == V21, V21 == V46, V46 == V76, V76 == V81, V81 == V88; #1029 ), references = 2, size of lhs = 8:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V1,V1,V0), P_idQa-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), quotient-{F}(V3,V1,V0), quotient-{F}(V0,V3,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1121: mergings( V1 == V2; #1119 ), references = 1, size of lhs = 5:
% 59.08/59.30 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V1,V1,V0), P_idQa-{F}(V1), P_a-{F}(V2) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1171: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V3 == V4, V4 == V7, V7 == V9, V9 == V16, V16 == V19, V19 == V21; #1154 ), references = 1, size of lhs = 16:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_identity-{F}(V4), P_zero-{F}(V5), quotient-{F}(V5,V6,V5), quotient-{F}(V3,V6,V5), quotient-{F}(V6,V4,V5), quotient-{F}(V4,V6,V7), quotient-{F}(V7,V4,V8), quotient-{F}(V8,V3,V5), quotient-{F}(V4,V7,V9), quotient-{F}(V9,V3,V5), quotient-{F}(V6,V7,V10), quotient-{F}(V10,V3,V5) | P_idQ_idQb-{T}(V7)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1237: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V20, V20 == V21, V21 == V23, V23 == V27, V27 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V39, V39 == V43, V43 == V50, V50 == V52, V2 == V5, V5 == V11, V11 == V14, V14 == V18, V18 == V19, V19 == V22, V22 == V29, V29 == V31, V31 == V33, V33 == V40, V40 == V44, V44 == V51, V51 == V53, V7 == V24, V24 == V36, V36 == V41, V41 == V47, V47 == V54, V8 == V9, V9 == V25, V25 == V37, V37 == V48, V48 == V55, V55 == V26, V26 == V38, V38 == V42, V42 == V49, V49 == V56; #1187 ), references = 1, size of lhs = 14:
% 59.08/59.30 P_zero-{F}(V0), quotient-{F}(V0,V1,V0), P_identity-{F}(V2), quotient-{F}(V1,V2,V0), quotient-{F}(V2,V1,V3), quotient-{F}(V3,V3,V0), quotient-{F}(V3,V2,V0), P_idQa-{F}(V3), P_b-{F}(V3), quotient-{F}(V1,V2,V4), quotient-{F}(V4,V3,V0), quotient-{F}(V2,V1,V5), quotient-{F}(V5,V3,V0), P_a-{F}(V6) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1248: mergings( V2 == V3, V3 == V5, V1 == V4, V4 == V6; #1242 ), references = 1, size of lhs = 9:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), P_idQb-{F}(V5), quotient-{F}(V0,V0,V5), P_idQ_idQb-{F}(V6) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1253: mergings( V2 == V3, V3 == V5, V1 == V4, V4 == V6; #1243 ), references = 1, size of lhs = 12:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_zero-{F}(V0), quotient-{F}(V0,V0,V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_b-{F}(V4), quotient-{F}(V0,V4,V0), P_idQ_idQb-{F}(V5), quotient-{F}(V6,V7,V1), quotient-{F}(V6,V4,V8), quotient-{F}(V8,V7,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1298: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V3 == V4, V4 == V7, V7 == V9, V9 == V19, V19 == V22, V22 == V24; #1281 ), references = 1, size of lhs = 20:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_idQa_Q__idQ_idQb-{F}(V5), P_idQ_idQa-{F}(V6), P_identity-{F}(V7), P_zero-{F}(V8), quotient-{F}(V8,V9,V8), quotient-{F}(V6,V9,V8), quotient-{F}(V9,V3,V8), quotient-{F}(V7,V9,V10), quotient-{F}(V3,V9,V10), quotient-{F}(V10,V3,V11), quotient-{F}(V11,V6,V8), quotient-{F}(V3,V10,V12), quotient-{F}(V12,V6,V8), quotient-{F}(V9,V10,V13), quotient-{F}(V13,V6,V8) | P_idQb_Q__idQ_idQa-{T}(V10)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1354: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V24, V24 == V25, V25 == V27, V27 == V35, V35 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V45, V2 == V5, V5 == V7, V7 == V15, V15 == V18, V18 == V22, V22 == V23, V23 == V26, V26 == V28, V28 == V37, V37 == V39, V39 == V41, V41 == V46, V8 == V29, V29 == V47, V9 == V30, V30 == V48, V10 == V31, V31 == V49, V46 == V11, V11 == V50, V12 == V32, V32 == V51, V48 == V13, V13 == V33; #1311 ), references = 1, size of lhs = 16:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_idQa-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), P_identity-{F}(V3), quotient-{F}(V0,V3,V1), quotient-{F}(V2,V3,V1), quotient-{F}(V3,V2,V0), P_idQb-{F}(V3), quotient-{F}(V2,V3,V4), quotient-{F}(V4,V0,V1), quotient-{F}(V3,V2,V5), quotient-{F}(V5,V0,V1), P_a-{F}(V6), P_b-{F}(V7), P_idQ_idQb-{F}(V8) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1396: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V24, V3 == V4, V4 == V7, V7 == V9, V9 == V18, V18 == V21, V21 == V23; #1379 ), references = 1, size of lhs = 18:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_idQa_Q__idQ_idQb-{F}(V5), P_identity-{F}(V6), P_zero-{F}(V7), quotient-{F}(V7,V8,V7), quotient-{F}(V1,V8,V7), quotient-{F}(V8,V6,V7), quotient-{F}(V8,V6,V9), quotient-{F}(V9,V1,V7), quotient-{F}(V6,V8,V10), quotient-{F}(V10,V6,V11), quotient-{F}(V11,V1,V7), quotient-{F}(V6,V10,V12), quotient-{F}(V12,V1,V7) | P_idQ_idQa-{T}(V10)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1534: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V17; #1518 ), references = 5, size of lhs = 15:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), quotient-{F}(V0,V2,V3), quotient-{F}(V4,V2,V3), quotient-{F}(V2,V4,V1), quotient-{F}(V5,V2,V1), quotient-{F}(V3,V4,V6), quotient-{F}(V6,V5,V1), quotient-{F}(V4,V3,V7), quotient-{F}(V7,V5,V1), quotient-{F}(V2,V3,V8), quotient-{F}(V8,V5,V1), quotient-{F}(V4,V4,V9), quotient-{F}(V9,V5,V1) | P_divide-{T}(V4,V5,V3)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1609: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V41, V41 == V42, V42 == V44, V44 == V45, V45 == V55, V55 == V57, V3 == V4, V4 == V7, V7 == V9, V9 == V18, V18 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V39, V39 == V40, V40 == V43, V43 == V56, V56 == V58, V10 == V46, V46 == V59, V11 == V47, V47 == V60, V12 == V48, V48 == V61, V13 == V49, V49 == V62, V14 == V53, V53 == V63, V15 == V57, V57 == V54; #1555 ), references = 1, size of lhs = 20:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_zero-{F}(V0), quotient-{F}(V0,V1,V0), P_identity-{F}(V2), quotient-{F}(V2,V2,V0), quotient-{F}(V1,V2,V0), quotient-{F}(V2,V1,V3), quotient-{F}(V3,V2,V0), P_idQa-{F}(V3), quotient-{F}(V1,V2,V4), quotient-{F}(V4,V3,V0), quotient-{F}(V2,V1,V5), quotient-{F}(V5,V3,V0), P_a-{F}(V6), P_b-{F}(V7), P_idQb-{F}(V8), P_idQ_idQb-{F}(V9), quotient-{F}(V3,V10,V0), quotient-{F}(V2,V10,V8), quotient-{F}(V0,V10,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1689: mergings( V3 == V5, V5 == V6, V6 == V7; #1685 ), references = 3, size of lhs = 6:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V4), quotient-{F}(V5,V2,V6), quotient-{F}(V5,V3,V7), quotient-{F}(V7,V4,V6) | P_divide-{T}(V6,V3,V6)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1807: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V5 == V7, V7 == V11, V11 == V14; #1795 ), references = 1, size of lhs = 12:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), quotient-{F}(V2,V3,V1), quotient-{F}(V2,V3,V4), quotient-{F}(V3,V2,V5), quotient-{F}(V4,V6,V1), quotient-{F}(V6,V2,V1), quotient-{F}(V7,V8,V6), quotient-{F}(V9,V8,V3), quotient-{F}(V9,V7,V10), quotient-{F}(V10,V8,V5) | P_divide-{T}(V3,V6,V5)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1875: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V15, V4 == V7, V7 == V9, V9 == V10, V10 == V13; #1863 ), references = 2, size of lhs = 14:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), quotient-{F}(V3,V2,V1), quotient-{F}(V4,V2,V1), quotient-{F}(V5,V2,V6), less_equal-{F}(V7,V6), V7 == V6, quotient-{F}(V7,V5,V4), quotient-{F}(V8,V2,V6), quotient-{F}(V9,V10,V7), quotient-{F}(V11,V10,V8), quotient-{F}(V11,V9,V12), quotient-{F}(V12,V10,V3) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1894: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V14, V14 == V15, V15 == V17, V17 == V18, V4 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V16; #1879 ), references = 2, size of lhs = 12:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), quotient-{F}(V3,V2,V1), quotient-{F}(V4,V2,V5), less_equal-{F}(V6,V5), V6 == V5, quotient-{F}(V6,V4,V3), quotient-{F}(V7,V2,V5), quotient-{F}(V8,V9,V6), quotient-{F}(V10,V8,V2), quotient-{F}(V10,V9,V7) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #1920: mergings( V1 == V3, V3 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V25, V25 == V26, V26 == V28, V28 == V29, V2 == V4, V4 == V15, V15 == V18, V18 == V21, V21 == V23, V23 == V24, V24 == V27; #1899 ), references = 2, size of lhs = 14:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_idQa_Q__idQ_idQb-{F}(V5), P_idQ_idQa-{F}(V6), P_identity-{F}(V7), P_zero-{F}(V8), quotient-{F}(V8,V9,V8), quotient-{F}(V7,V9,V3), quotient-{F}(V10,V3,V9), quotient-{F}(V10,V6,V11), quotient-{F}(V11,V9,V3) | P_idQb_Q__idQ_idQa-{T}(V3)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2013: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V34, V34 == V35, V2 == V5, V5 == V7, V7 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V33, V33 == V36, V8 == V24, V24 == V37, V9 == V25, V25 == V38, V10 == V26, V26 == V39, V11 == V27, V27 == V40, V12 == V28, V28 == V41, V13 == V40, V40 == V29; #1981 ), references = 1, size of lhs = 21:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_idQb-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), P_identity-{F}(V3), quotient-{F}(V3,V3,V1), quotient-{F}(V2,V3,V1), quotient-{F}(V3,V2,V4), quotient-{F}(V4,V3,V1), P_idQa-{F}(V4), quotient-{F}(V2,V3,V5), quotient-{F}(V5,V4,V1), quotient-{F}(V3,V2,V6), quotient-{F}(V6,V4,V1), P_a-{F}(V7), P_b-{F}(V8), P_idQ_idQb-{F}(V9), quotient-{F}(V3,V0,V10), quotient-{F}(V1,V10,V1), quotient-{F}(V3,V10,V0), quotient-{F}(V4,V10,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2079: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V25, V25 == V28, V28 == V29, V29 == V40, V40 == V42, V2 == V5, V5 == V7, V7 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V26, V26 == V27, V27 == V30, V30 == V41, V41 == V43, V8 == V31, V31 == V44, V9 == V32, V32 == V45, V10 == V33, V33 == V46, V11 == V34, V34 == V47, V12 == V35, V35 == V48, V45 == V13, V13 == V36; #2040 ), references = 1, size of lhs = 20:
% 59.08/59.30 P_idQa_Q__idQ_idQb-{F}(V0), P_idQa-{F}(V0), P_zero-{F}(V1), quotient-{F}(V0,V1,V0), quotient-{F}(V1,V2,V1), P_identity-{F}(V3), quotient-{F}(V3,V3,V1), quotient-{F}(V0,V3,V1), quotient-{F}(V3,V2,V0), quotient-{F}(V2,V3,V1), quotient-{F}(V2,V3,V4), quotient-{F}(V4,V0,V1), quotient-{F}(V3,V2,V5), quotient-{F}(V5,V0,V1), P_a-{F}(V6), P_b-{F}(V7), P_idQb-{F}(V8), quotient-{F}(V8,V3,V1), quotient-{F}(V0,V8,V1), P_idQ_idQb-{F}(V9) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2229: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V12, V4 == V7, V7 == V10, V10 == V11; #2220 ), references = 1, size of lhs = 17:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), quotient-{F}(V1,V3,V1), quotient-{F}(V4,V2,V1), quotient-{F}(V5,V3,V1), quotient-{F}(V6,V2,V7), less_equal-{F}(V8,V7), V8 == V7, quotient-{F}(V8,V6,V4), quotient-{F}(V9,V3,V8), quotient-{F}(V10,V2,V7), quotient-{F}(V11,V3,V10), quotient-{F}(V12,V13,V9), quotient-{F}(V14,V13,V11), quotient-{F}(V14,V12,V15), quotient-{F}(V15,V13,V5) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2249: mergings( V3 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V18, V4 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V17; #2234 ), references = 1, size of lhs = 15:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), quotient-{F}(V1,V3,V1), quotient-{F}(V4,V3,V1), quotient-{F}(V5,V3,V1), quotient-{F}(V6,V2,V6), quotient-{F}(V7,V3,V6), quotient-{F}(V8,V2,V6), quotient-{F}(V9,V3,V8), quotient-{F}(V10,V7,V5), quotient-{F}(V11,V12,V10), quotient-{F}(V13,V12,V9), quotient-{F}(V13,V11,V14), quotient-{F}(V14,V12,V4) | P_divide-{T}(V10,V3,V6)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2279: mergings( V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V21, V21 == V23, V23 == V25, V25 == V27, V4 == V7, V7 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V20, V20 == V24, V24 == V26; #2256 ), references = 1, size of lhs = 22:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), quotient-{F}(V1,V3,V1), quotient-{F}(V4,V3,V1), quotient-{F}(V1,V5,V1), quotient-{F}(V6,V5,V1), quotient-{F}(V7,V2,V7), quotient-{F}(V8,V3,V7), quotient-{F}(V7,V9,V6), quotient-{F}(V9,V5,V10), V7 == V10, quotient-{F}(V10,V8,V4), quotient-{F}(V11,V2,V7), quotient-{F}(V12,V3,V11), quotient-{F}(V13,V5,V10), quotient-{F}(V14,V15,V10), quotient-{F}(V16,V15,V12), quotient-{F}(V16,V14,V3), quotient-{F}(V17,V18,V7), quotient-{F}(V19,V17,V5), quotient-{F}(V19,V18,V13) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2324: mergings( V2 == V3, V3 == V5, V5 == V15, V15 == V16, V16 == V19, V19 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V37, V37 == V40, V40 == V41, V41 == V43, V43 == V45, V1 == V4, V4 == V6, V6 == V14, V14 == V17, V17 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V27, V27 == V29, V29 == V32, V32 == V35, V35 == V38, V38 == V39, V39 == V42, V42 == V44; #2287 ), references = 2, size of lhs = 24:
% 59.08/59.30 P_a-{F}(V0), P_idQa-{F}(V1), P_b-{F}(V2), P_idQb-{F}(V3), P_idQ_idQb-{F}(V4), P_idQa_Q__idQ_idQb-{F}(V5), P_idQ_idQa-{F}(V6), quotient-{F}(V6,V6,V7), quotient-{F}(V7,V6,V7), P_zero-{F}(V7), P_identity-{F}(V8), quotient-{F}(V9,V6,V7), quotient-{F}(V7,V10,V7), quotient-{F}(V11,V3,V10), quotient-{F}(V11,V6,V12), quotient-{F}(V12,V10,V13), quotient-{F}(V13,V3,V9), quotient-{F}(V14,V10,V13), quotient-{F}(V15,V6,V14), quotient-{F}(V3,V15,V16), quotient-{F}(V16,V6,V7), quotient-{F}(V17,V18,V13), quotient-{F}(V19,V18,V3), quotient-{F}(V19,V17,V6) | P_idQb_Q__idQ_idQa-{T}(V13)
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2371: mergings( V2 == V3, V3 == V5, V5 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V28, V28 == V33, V1 == V4, V4 == V6, V6 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V32, V32 == V34, V7 == V22, V22 == V35, V8 == V23, V23 == V36, V9 == V24, V24 == V37, V10 == V25, V25 == V38, V11 == V26, V26 == V39, V12 == V27, V27 == V40; #2341 ), references = 1, size of lhs = 24:
% 59.08/59.30 P_zero-{F}(V0), quotient-{F}(V0,V1,V0), P_identity-{F}(V2), quotient-{F}(V2,V2,V0), quotient-{F}(V1,V2,V0), quotient-{F}(V2,V1,V3), quotient-{F}(V3,V2,V0), P_idQa-{F}(V3), quotient-{F}(V1,V2,V4), quotient-{F}(V4,V3,V0), quotient-{F}(V2,V1,V5), quotient-{F}(V5,V3,V0), P_a-{F}(V6), P_b-{F}(V7), P_idQb-{F}(V8), quotient-{F}(V8,V2,V0), P_idQ_idQb-{F}(V9), P_idQa_Q__idQ_idQb-{F}(V10), quotient-{F}(V10,V8,V0), quotient-{F}(V2,V8,V11), quotient-{F}(V0,V11,V0), quotient-{F}(V3,V11,V10), quotient-{F}(V3,V12,V10), quotient-{F}(V2,V12,V8) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2412: mergings( V1 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V21, V21 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V35, V35 == V40, V2 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V39, V39 == V41, V3 == V16, V16 == V30, V30 == V42, V17 == V31, V31 == V43, V4 == V18, V18 == V32, V32 == V44, V5 == V19, V19 == V33, V33 == V45, V6 == V20, V20 == V34, V34 == V46; #2375 ), references = 2, size of lhs = 23:
% 59.08/59.30 P_zero-{F}(V0), quotient-{F}(V0,V1,V0), P_identity-{F}(V2), quotient-{F}(V2,V2,V0), quotient-{F}(V1,V2,V0), quotient-{F}(V2,V1,V3), quotient-{F}(V3,V2,V0), P_idQa-{F}(V3), quotient-{F}(V1,V2,V4), quotient-{F}(V4,V3,V0), quotient-{F}(V2,V1,V5), quotient-{F}(V5,V3,V0), P_a-{F}(V6), P_b-{F}(V7), P_idQb-{F}(V8), quotient-{F}(V8,V2,V0), quotient-{F}(V2,V8,V9), quotient-{F}(V2,V9,V8), quotient-{F}(V0,V9,V0), P_idQ_idQb-{F}(V9), quotient-{F}(V10,V9,V8), quotient-{F}(V3,V10,V11), quotient-{F}(V11,V9,V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2445: mergings( V2 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V17, V17 == V19, V1 == V4, V4 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V21, V6 == V25, V7 == V22, V8 == V26; #2427 ), references = 1, size of lhs = 23:
% 59.08/59.30 P_idQb-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V1), P_identity-{F}(V3), quotient-{F}(V2,V3,V1), quotient-{F}(V0,V3,V1), quotient-{F}(V3,V3,V1), quotient-{F}(V3,V2,V4), P_idQa-{F}(V4), quotient-{F}(V4,V3,V1), quotient-{F}(V2,V3,V5), quotient-{F}(V5,V4,V1), quotient-{F}(V3,V2,V6), quotient-{F}(V6,V4,V1), P_a-{F}(V7), P_b-{F}(V8), quotient-{F}(V1,V9,V1), quotient-{F}(V3,V9,V0), quotient-{F}(V9,V3,V1), quotient-{F}(V9,V3,V10), quotient-{F}(V10,V0,V1), quotient-{F}(V3,V9,V11), quotient-{F}(V11,V0,V1) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2483: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V29, V3 == V6, V6 == V12, V12 == V15, V15 == V21, V21 == V24, V24 == V26, V26 == V28, V8 == V17, V17 == V34, V9 == V18, V18 == V31, V10 == V19, V19 == V35; #2455 ), references = 1, size of lhs = 16:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V0,V0,V1), quotient-{F}(V1,V2,V1), quotient-{F}(V2,V0,V1), quotient-{F}(V0,V2,V3), P_idQa-{F}(V3), quotient-{F}(V3,V0,V1), quotient-{F}(V2,V0,V4), quotient-{F}(V4,V3,V1), quotient-{F}(V0,V2,V5), quotient-{F}(V5,V3,V1), P_a-{F}(V6), P_b-{F}(V7), quotient-{F}(V1,V7,V1), quotient-{F}(V7,V0,V1) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2514: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V25, V25 == V27, V3 == V6, V6 == V10, V10 == V12, V12 == V15, V15 == V20, V20 == V23, V23 == V26, V8 == V17, V17 == V32, V9 == V18, V18 == V29; #2488 ), references = 1, size of lhs = 13:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V0,V0,V1), quotient-{F}(V1,V2,V1), quotient-{F}(V2,V0,V1), quotient-{F}(V0,V2,V3), P_idQa-{F}(V3), quotient-{F}(V3,V0,V1), quotient-{F}(V2,V0,V4), quotient-{F}(V4,V3,V1), quotient-{F}(V0,V2,V5), quotient-{F}(V5,V3,V1), P_a-{F}(V6) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2557: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V32, V32 == V34, V3 == V6, V6 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V33, V8 == V17, V17 == V25, V25 == V35; #2524 ), references = 2, size of lhs = 6:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V0,V0,V1), P_a-{F}(V2), quotient-{F}(V1,V2,V1), quotient-{F}(V2,V0,V1) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2564: mergings( V1 == V3; #2562 ), references = 1, size of lhs = 3:
% 59.08/59.30 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V0,V0,V1) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2570: mergings( V1 == V2, V2 == V3; #2567 ), references = 1, size of lhs = 1:
% 59.08/59.30 P_zero-{F}(V0) | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 #2572: exists( #16, #2567 ), references = 1, size of lhs = 0:
% 59.08/59.30 FALSE | FALSE
% 59.08/59.30 (used 0 times, uses = {})
% 59.08/59.30
% 59.08/59.30 number of learnt formulas = 68
% 59.08/59.30
% 59.08/59.30
% 59.08/59.30 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.08/59.30
% 59.08/59.30 randbase = 1
%------------------------------------------------------------------------------