TSTP Solution File: NUM854+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM854+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:13:24 EDT 2022
% Result : Theorem 2.44s 2.61s
% Output : Refutation 2.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM854+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 00:00:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.44/2.61 GeoParameters:
% 2.44/2.61
% 2.44/2.61 tptp_input = 1
% 2.44/2.61 tptp_output = 0
% 2.44/2.61 nonempty = 1
% 2.44/2.61 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/2.61 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.44/2.61
% 2.44/2.61
% 2.44/2.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/2.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/2.61
% 2.44/2.61 RuleSystem INPUT:
% 2.44/2.61
% 2.44/2.61 Initial Rules:
% 2.44/2.61 #0: input, references = 7, size of lhs = 6:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), greater-{F}(V2,V4) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #1: input, references = 5, size of lhs = 6:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5) | greater-{T}(V1,V5)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #2: input, references = 8, size of lhs = 6:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5) | greater-{T}(V0,V3)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #3: input, references = 4, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_vmul-{F}(V6,V8,V9), P_vmul-{F}(V7,V8,V10), less-{F}(V9,V10) | less-{T}(V6,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #4: input, references = 4, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_vmul-{F}(V6,V8,V10), P_vmul-{F}(V7,V8,V10), V6 == V7 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #5: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_vmul-{F}(V6,V8,V9), P_vmul-{F}(V7,V8,V10), greater-{F}(V9,V10) | greater-{T}(V6,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #6: input, references = 5, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), less-{F}(V6,V7), P_vmul-{F}(V6,V8,V9), P_vmul-{F}(V7,V8,V10) | less-{T}(V9,V10)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #7: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_vmul-{F}(V7,V8,V9), P_vmul-{F}(V7,V8,V10), V9 == V10 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #8: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), greater-{F}(V6,V7), P_vmul-{F}(V6,V8,V9), P_vmul-{F}(V7,V8,V10) | greater-{T}(V9,V10)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #9: input, references = 3, size of lhs = 11:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_vmul-{F}(V6,V7,V9), P_vmul-{F}(V9,V8,V10), P_vmul-{F}(V7,V8,V11), P_vmul-{F}(V6,V11,V12), V10 == V12 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #10: input, references = 4, size of lhs = 12:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_vplus-{F}(V7,V8,V9), P_vmul-{F}(V6,V9,V10), P_vmul-{F}(V6,V7,V11), P_vmul-{F}(V6,V8,V12), P_vplus-{F}(V11,V12,V13), V10 == V13 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #11: input, references = 4, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_vmul-{F}(V6,V7,V8), P_vmul-{F}(V7,V6,V9), V8 == V9 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #12: input, references = 4, size of lhs = 11:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_vsucc-{F}(V6,V8), P_vmul-{F}(V8,V7,V9), P_vmul-{F}(V6,V7,V10), P_vplus-{F}(V10,V7,V11), V9 == V11 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #13: input, references = 5, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vmul-{F}(V6,V7,V8), V8 == V7 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #14: input, references = 4, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vmul-{F}(V7,V6,V8), V8 == V7 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #15: input, references = 3, size of lhs = 13:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vmul-{F}(V7,V6,V8), P_vsucc-{F}(V9,V10), P_vmul-{F}(V7,V10,V11), P_vmul-{F}(V7,V9,V12), P_vplus-{F}(V12,V7,V13), V11 == V13 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #16: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V8,V6,V9), less-{F}(V7,V9) | leq-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #17: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V8,V6,V9), greater-{F}(V7,V8) | geq-{T}(V7,V9)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #18: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), #-{F} V7 | geq-{T}(V7,V6)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #19: input, references = 3, size of lhs = 11:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), geq-{F}(V7,V8), P_vplus-{F}(V10,V7,V11), P_vplus-{F}(V9,V8,V12), geq-{F}(V10,V9) | geq-{T}(V11,V12)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #20: input, references = 3, size of lhs = 11:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V9,V11), P_vplus-{F}(V8,V10,V12), greater-{F}(V9,V10), geq-{F}(V7,V8) | greater-{T}(V11,V12)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #21: input, references = 3, size of lhs = 11:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V9,V11), P_vplus-{F}(V8,V10,V12), geq-{F}(V9,V10), greater-{F}(V7,V8) | greater-{T}(V11,V12)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #22: input, references = 3, size of lhs = 11:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), greater-{F}(V7,V8), P_vplus-{F}(V10,V7,V11), P_vplus-{F}(V9,V8,V12), greater-{F}(V10,V9) | greater-{T}(V11,V12)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #23: input, references = 3, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V9,V10), P_vplus-{F}(V8,V9,V11), less-{F}(V10,V11) | less-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #24: input, references = 4, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V9,V11), P_vplus-{F}(V8,V9,V11), V7 == V8 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #25: input, references = 3, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V9,V10), P_vplus-{F}(V8,V9,V11), greater-{F}(V10,V11) | greater-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #26: input, references = 3, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), less-{F}(V7,V8), P_vplus-{F}(V7,V9,V10), P_vplus-{F}(V8,V9,V11) | less-{T}(V10,V11)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #27: input, references = 3, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V8,V9,V10), P_vplus-{F}(V8,V9,V11), V10 == V11 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #28: input, references = 3, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), greater-{F}(V7,V8), P_vplus-{F}(V7,V9,V10), P_vplus-{F}(V8,V9,V11) | greater-{T}(V10,V11)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #29: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V8,V9) | greater-{T}(V9,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #30: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), leq-{F}(V7,V8), leq-{F}(V9,V7) | leq-{T}(V9,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #31: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), less-{F}(V9,V8), leq-{F}(V7,V9) | less-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #32: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), leq-{F}(V9,V8), less-{F}(V7,V9) | less-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #33: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), less-{F}(V7,V8), less-{F}(V9,V7) | less-{T}(V9,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #34: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), leq-{F}(V7,V8) | geq-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #35: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), geq-{F}(V7,V8) | leq-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #36: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), leq-{F}(V8,V7) | pppp0-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #37: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), pppp0-{F}(V8,V7) | leq-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #38: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), pppp0-{F}(V7,V8), V7 == V8 | less-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #39: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), less-{F}(V7,V8) | pppp0-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #40: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), #-{F} V8 | pppp0-{T}(V8,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #41: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), geq-{F}(V8,V7) | pppp1-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #42: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), pppp1-{F}(V8,V7) | geq-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #43: input, references = 3, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), pppp1-{F}(V7,V8), V7 == V8 | greater-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #44: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), greater-{F}(V7,V8) | pppp1-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #45: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), #-{F} V8 | pppp1-{T}(V8,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #46: input, references = 5, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), less-{F}(V7,V8) | greater-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #47: input, references = 6, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), greater-{F}(V7,V8) | less-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #48: input, references = 3, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), #-{F} V7, #-{F} V8, V7 == V8 | greater-{T}(V7,V8), less-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #49: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), less-{F}(V8,V8) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #50: input, references = 4, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), greater-{F}(V7,V8), less-{F}(V7,V8) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #51: input, references = 5, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), greater-{F}(V8,V8) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #52: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), less-{F}(V8,V7) | pppp2-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #53: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), pppp2-{F}(V8,V7) | less-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #54: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), pppp2-{F}(V7,V8) | EXISTS V9: pppp4-{T}(V7,V8,V9)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #55: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V9,V10) | pppp2-{T}(V7,V10)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #56: input, references = 3, size of lhs = 3:
% 2.44/2.61 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #57: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), greater-{F}(V8,V7) | pppp3-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #58: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), pppp3-{F}(V8,V7) | greater-{T}(V8,V7)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #59: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), pppp3-{F}(V7,V8) | EXISTS V9: pppp5-{T}(V7,V8,V9)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #60: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V8,V9,V10) | pppp3-{T}(V10,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #61: input, references = 3, size of lhs = 3:
% 2.44/2.61 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #62: input, references = 3, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), #-{F} V7, #-{F} V8, V7 == V8 | pppp8-{T}(V7,V8), pppp9-{T}(V7,V8)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #63: input, references = 3, size of lhs = 1:
% 2.44/2.61 pppp8-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #64: input, references = 3, size of lhs = 1:
% 2.44/2.61 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #65: input, references = 3, size of lhs = 3:
% 2.44/2.61 pppp7-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #66: input, references = 3, size of lhs = 3:
% 2.44/2.61 pppp6-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #67: input, references = 5, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V10,V9,V10) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #68: input, references = 4, size of lhs = 9:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V12,V9,V10), P_vplus-{F}(V10,V11,V12) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #69: input, references = 3, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V10,V9,V10) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #70: input, references = 4, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V9,V7,V11), P_vplus-{F}(V9,V8,V11), V7 == V8 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #71: input, references = 5, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V9,V9) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #72: input, references = 4, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V8,V7,V9), P_vplus-{F}(V7,V8,V10), V9 == V10 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #73: input, references = 3, size of lhs = 12:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vsucc-{F}(V7,V9), P_vplus-{F}(V9,V8,V10), P_vplus-{F}(V7,V8,V11), P_vsucc-{F}(V11,V12), V10 == V12 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #74: input, references = 5, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V6,V7,V8), P_vsucc-{F}(V7,V9), V8 == V9 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #75: input, references = 3, size of lhs = 12:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V8,V10), P_vplus-{F}(V10,V9,V11), P_vplus-{F}(V8,V9,V12), P_vplus-{F}(V7,V12,V13), V11 == V13 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #76: input, references = 4, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V6,V8), P_vsucc-{F}(V7,V9), V8 == V9 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #77: input, references = 3, size of lhs = 14:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V7,V6,V8), P_vsucc-{F}(V7,V9), P_vsucc-{F}(V10,V11), P_vplus-{F}(V7,V11,V12), P_vplus-{F}(V7,V10,V13), P_vsucc-{F}(V13,V14), V12 == V14 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #78: input, references = 5, size of lhs = 11:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vskolem2-{F}(V7,V8), P_vsucc-{F}(V8,V9), V7 == V6, V7 == V9 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #79: input, references = 5, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vsucc-{F}(V7,V7) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #80: input, references = 5, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vsucc-{F}(V7,V10), P_vsucc-{F}(V8,V10), V7 == V8 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #81: input, references = 5, size of lhs = 10:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vsucc-{F}(V7,V10), P_vsucc-{F}(V8,V10), V7 == V8 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #82: input, references = 5, size of lhs = 8:
% 2.44/2.61 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vsucc-{F}(V7,V6) | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #83: input, references = 29, size of lhs = 2:
% 2.44/2.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_vmul-{T}(V0,V1,V2)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #84: input, references = 4, size of lhs = 0:
% 2.44/2.61 FALSE | EXISTS V0: P_vd508-{T}(V0)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #85: input, references = 4, size of lhs = 0:
% 2.44/2.61 FALSE | EXISTS V0: P_vd511-{T}(V0)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #86: input, references = 5, size of lhs = 0:
% 2.44/2.61 FALSE | EXISTS V0: P_vd509-{T}(V0)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #87: input, references = 6, size of lhs = 0:
% 2.44/2.61 FALSE | EXISTS V0: P_vd512-{T}(V0)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #88: input, references = 16, size of lhs = 2:
% 2.44/2.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #89: input, references = 5, size of lhs = 1:
% 2.44/2.61 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #90: input, references = 6, size of lhs = 0:
% 2.44/2.61 FALSE | EXISTS V0: P_v1-{T}(V0)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #91: input, references = 4, size of lhs = 1:
% 2.44/2.61 #-{F} V0 | EXISTS V1: P_vskolem2-{T}(V0,V1)
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 number of initial rules = 92
% 2.44/2.61
% 2.44/2.61 Simplifiers:
% 2.44/2.61 #92: unsound, references = 3, size of lhs = 3:
% 2.44/2.61 P_vmul-{F}(V0,V1,V2), P_vmul-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #93: unsound, references = 3, size of lhs = 3:
% 2.44/2.61 P_vd508-{F}(V0), P_vd508-{F}(V1), V0 == V1 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #94: unsound, references = 3, size of lhs = 3:
% 2.44/2.61 P_vd511-{F}(V0), P_vd511-{F}(V1), V0 == V1 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #95: unsound, references = 3, size of lhs = 3:
% 2.44/2.61 P_vd509-{F}(V0), P_vd509-{F}(V1), V0 == V1 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #96: unsound, references = 3, size of lhs = 3:
% 2.44/2.61 P_vd512-{F}(V0), P_vd512-{F}(V1), V0 == V1 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #97: unsound, references = 3, size of lhs = 3:
% 2.44/2.61 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.44/2.61 (used 0 times, uses = {})
% 2.44/2.61
% 2.44/2.61 #98: unsound, references = 3, size of lhs = 3:
% 2.44/2.61 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #99: unsound, references = 3, size of lhs = 3:
% 2.44/2.62 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #100: unsound, references = 3, size of lhs = 3:
% 2.44/2.62 P_vskolem2-{F}(V0,V1), P_vskolem2-{F}(V0,V3), V1 == V3 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #101: unsound, references = 3, size of lhs = 3:
% 2.44/2.62 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #102: unsound, references = 3, size of lhs = 3:
% 2.44/2.62 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #103: unsound, references = 3, size of lhs = 3:
% 2.44/2.62 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #104: unsound, references = 3, size of lhs = 3:
% 2.44/2.62 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 number of simplifiers = 13
% 2.44/2.62
% 2.44/2.62 Learnt:
% 2.44/2.62 #108: exists( #83, #79 ), references = 1, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V4) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #109: exists( #83, #82 ), references = 1, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V3) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #110: exists( #83, #67 ), references = 1, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V5,V4) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #114: exists( #83, #78 ), references = 2, size of lhs = 9:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vskolem2-{F}(V4,V5), V4 == V3, P_vsucc-{F}(V5,V6), V4 == V6 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #115: exists( #83, #13 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vmul-{F}(V3,V4,V5), V5 == V4 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #116: exists( #83, #71 ), references = 1, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V5,V5) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #120: mergings( V1 == V3; #118 ), references = 1, size of lhs = 5:
% 2.44/2.62 P_vd511-{F}(V0), P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd509-{F}(V1), P_v1-{F}(V2) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #123: mergings( V1 == V3; #121 ), references = 1, size of lhs = 4:
% 2.44/2.62 P_vd511-{F}(V0), P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd509-{F}(V1) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #125: exists( #89, #114 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vskolem2-{F}(V4,V5), V4 == V3 | P_vsucc-{T}(V5,V4)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #128: exists( #83, #80 ), references = 1, size of lhs = 8:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5), P_vsucc-{F}(V6,V5), V4 == V6 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #129: exists( #83, #81 ), references = 1, size of lhs = 8:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5), P_vsucc-{F}(V6,V5), V4 == V6 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #134: mergings( V3 == V4; #132 ), references = 1, size of lhs = 5:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #137: mergings( V1 == V4; #135 ), references = 1, size of lhs = 4:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #139: exists( #87, #135 ), references = 1, size of lhs = 3:
% 2.44/2.62 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #143: exists( #83, #13 ), references = 1, size of lhs = 8:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vmul-{F}(V5,V6,V7), V7 == V6 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #144: exists( #83, #14 ), references = 1, size of lhs = 8:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vmul-{F}(V6,V5,V7), V7 == V6 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #145: exists( #83, #79 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vsucc-{F}(V6,V6) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #149: exists( #83, #140 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vmul-{F}(V4,V5,V6), V6 == V5 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #150: exists( #83, #141 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vmul-{F}(V5,V4,V6), V6 == V5 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #151: exists( #83, #142 ), references = 1, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V5) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #154: exists( #83, #146 ), references = 2, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), #-{F} V5 | P_vmul-{T}(V4,V5,V5)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #155: exists( #83, #147 ), references = 5, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), #-{F} V5 | P_vmul-{T}(V5,V4,V5)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #158: exists( #83, #67 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V6) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #160: exists( #83, #156 ), references = 1, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vplus-{F}(V5,V6,V5) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #163: exists( #83, #82 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vsucc-{F}(V6,V5) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #165: exists( #83, #161 ), references = 1, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V4) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #169: exists( #83, #4 ), references = 1, size of lhs = 8:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vmul-{F}(V5,V6,V7), P_vmul-{F}(V8,V6,V7), V5 == V8 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #170: exists( #83, #80 ), references = 1, size of lhs = 9:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vsucc-{F}(V6,V7), P_vsucc-{F}(V8,V7), V6 == V8 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #171: exists( #83, #81 ), references = 1, size of lhs = 9:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vsucc-{F}(V6,V7), P_vsucc-{F}(V8,V7), V6 == V8 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #174: exists( #83, #167 ), references = 1, size of lhs = 8:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V7,V6), V5 == V7 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #175: exists( #83, #168 ), references = 1, size of lhs = 8:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V7,V6), V5 == V7 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #179: exists( #83, #10 ), references = 3, size of lhs = 11:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vplus-{F}(V5,V6,V7), P_vmul-{F}(V8,V7,V9), P_vmul-{F}(V8,V5,V10), P_vmul-{F}(V8,V6,V11), P_vplus-{F}(V10,V11,V12), V9 == V12 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #181: exists( #83, #179 ), references = 11, size of lhs = 9:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vplus-{F}(V5,V6,V7), P_vmul-{F}(V8,V5,V9), P_vmul-{F}(V8,V6,V10), P_vplus-{F}(V9,V10,V11) | P_vmul-{T}(V8,V7,V11)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #185: exists( #83, #24 ), references = 2, size of lhs = 9:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V9,V7,V8), V6 == V9 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #186: exists( #83, #11 ), references = 8, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vmul-{F}(V1,V3,V5) | P_vmul-{T}(V3,V1,V5)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #212: mergings( V3 == V8, V8 == V10, V19 == V20, V10 == V12, V20 == V21, V12 == V15, V21 == V22, V15 == V17, V22 == V23, V4 == V18, V5 == V23, V6 == V24, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V25, V14 == V26; #193 ), references = 1, size of lhs = 11:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vmul-{F}(V1,V6,V4), P_vmul-{F}(V4,V6,V1), P_vplus-{F}(V7,V8,V3), P_vmul-{F}(V1,V7,V9), P_vmul-{F}(V1,V8,V10) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #228: mergings( V3 == V8, V8 == V10, V12 == V13, V4 == V11, V5 == V13, V6 == V14, V7 == V9, V9 == V15; #219 ), references = 1, size of lhs = 12:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V3), P_vmul-{F}(V1,V6,V8), P_vmul-{F}(V1,V7,V9), P_vplus-{F}(V10,V11,V12), P_vplus-{F}(V10,V13,V12), V11 == V13 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #245: mergings( V3 == V8, V8 == V10, V12 == V13, V4 == V11, V5 == V13, V6 == V14, V7 == V9, V9 == V15; #236 ), references = 1, size of lhs = 10:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V3), P_vmul-{F}(V1,V6,V8), P_vmul-{F}(V1,V7,V9), P_vplus-{F}(V10,V11,V11) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #261: mergings( V3 == V8, V8 == V10, V12 == V13, V4 == V11, V5 == V13, V6 == V14, V7 == V9, V9 == V15; #252 ), references = 1, size of lhs = 12:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V3), P_vmul-{F}(V1,V6,V8), P_vmul-{F}(V1,V7,V9), P_vplus-{F}(V5,V10,V11), P_vsucc-{F}(V10,V12), V11 == V12 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #271: mergings( V3 == V8, V8 == V10, V12 == V13, V4 == V11, V5 == V13, V6 == V14, V7 == V9, V9 == V15; #262 ), references = 1, size of lhs = 10:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V3), P_vmul-{F}(V1,V6,V8), P_vmul-{F}(V1,V7,V9), P_vsucc-{F}(V10,V11) | P_vplus-{T}(V5,V10,V11)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #300: mergings( V23 == V27, V3 == V8, V8 == V10, V22 == V27, V10 == V12, V24 == V27, V12 == V15, V25 == V27, V15 == V17, V26 == V27, V17 == V20, V4 == V21, V5 == V27, V6 == V28, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V14 == V19; #279 ), references = 1, size of lhs = 9:
% 2.44/2.62 P_vd512-{F}(V0), P_v1-{F}(V1), P_vd508-{F}(V2), P_vd511-{F}(V3), P_vmul-{F}(V2,V3,V4), P_vd509-{F}(V5), P_vplus-{F}(V6,V7,V5), P_vmul-{F}(V3,V6,V8), P_vmul-{F}(V3,V7,V9) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #309: mergings( V3 == V12, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V8 == V11; #301 ), references = 2, size of lhs = 8:
% 2.44/2.62 P_vd512-{F}(V0), P_v1-{F}(V1), P_vd508-{F}(V2), P_vd511-{F}(V3), P_vd509-{F}(V4), P_vplus-{F}(V5,V6,V4), P_vmul-{F}(V3,V5,V7), P_vmul-{F}(V3,V6,V8) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #311: exists( #88, #179 ), references = 1, size of lhs = 9:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vplus-{F}(V5,V6,V7), P_vmul-{F}(V8,V7,V9), P_vmul-{F}(V8,V5,V10), P_vmul-{F}(V8,V6,V11) | P_vplus-{T}(V10,V11,V9)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #319: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #313 ), references = 2, size of lhs = 12:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V8), P_vmul-{F}(V9,V8,V10), P_vmul-{F}(V9,V6,V11), P_vmul-{F}(V9,V7,V12), P_vplus-{F}(V13,V12,V10), V13 == V11 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #323: exists( #83, #319 ), references = 1, size of lhs = 10:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V8), P_vmul-{F}(V9,V8,V10), P_vmul-{F}(V9,V7,V11), P_vplus-{F}(V12,V11,V10) | P_vmul-{T}(V9,V6,V12)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #337: mergings( V3 == V5, V6 == V7, V4 == V8; #333 ), references = 1, size of lhs = 9:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V5,V6,V7), P_vsucc-{F}(V6,V8), V7 == V8 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #340: mergings( V3 == V5; #338 ), references = 1, size of lhs = 8:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vplus-{F}(V4,V5,V6), P_vsucc-{F}(V5,V7), V6 == V7 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #343: mergings( V3 == V7; #341 ), references = 2, size of lhs = 6:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6) | P_vplus-{T}(V4,V5,V6)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #347: exists( #83, #309 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd512-{F}(V0), P_v1-{F}(V1), P_vd508-{F}(V2), P_vd511-{F}(V3), P_vd509-{F}(V4), P_vplus-{F}(V5,V6,V4), P_vmul-{F}(V3,V5,V7) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #360: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #354 ), references = 1, size of lhs = 11:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V1), P_vmul-{F}(V3,V6,V8), P_vmul-{F}(V3,V7,V9), P_vplus-{F}(V10,V11,V12), P_vplus-{F}(V12,V13,V10) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #374: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #366 ), references = 1, size of lhs = 12:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V1), P_vmul-{F}(V3,V6,V8), P_vmul-{F}(V3,V7,V9), P_vplus-{F}(V10,V11,V12), P_vplus-{F}(V11,V10,V13), V12 == V13 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #380: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #367 ), references = 1, size of lhs = 12:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V1), P_vmul-{F}(V3,V6,V8), P_vmul-{F}(V3,V7,V9), P_vplus-{F}(V10,V5,V11), P_vsucc-{F}(V10,V12), V11 == V12 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #386: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #368 ), references = 1, size of lhs = 13:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vplus-{F}(V5,V6,V1), P_vmul-{F}(V3,V5,V7), P_vmul-{F}(V3,V6,V8), P_vsucc-{F}(V9,V10), P_vmul-{F}(V10,V11,V12), P_vmul-{F}(V9,V11,V13), P_vplus-{F}(V13,V11,V14), V12 == V14 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #395: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #387 ), references = 1, size of lhs = 10:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V1), P_vmul-{F}(V3,V6,V8), P_vmul-{F}(V3,V7,V9), P_vplus-{F}(V10,V11,V12) | P_vplus-{T}(V11,V10,V12)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #401: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #388 ), references = 1, size of lhs = 10:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V1), P_vmul-{F}(V3,V6,V8), P_vmul-{F}(V3,V7,V9), P_vsucc-{F}(V10,V11) | P_vplus-{T}(V10,V5,V11)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #407: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #389 ), references = 1, size of lhs = 11:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vplus-{F}(V5,V6,V1), P_vmul-{F}(V3,V5,V7), P_vmul-{F}(V3,V6,V8), P_vsucc-{F}(V9,V10), P_vmul-{F}(V10,V11,V12), P_vmul-{F}(V9,V11,V13) | P_vplus-{T}(V13,V11,V12)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #433: mergings( V20 == V24, V3 == V8, V8 == V10, V21 == V24, V10 == V13, V22 == V24, V13 == V15, V23 == V24, V15 == V18, V4 == V19, V5 == V24, V6 == V25, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V12 == V17; #415 ), references = 1, size of lhs = 9:
% 2.44/2.62 P_vd512-{F}(V0), P_v1-{F}(V1), P_vd508-{F}(V2), P_vd511-{F}(V3), P_vmul-{F}(V2,V3,V4), P_vd509-{F}(V5), P_vplus-{F}(V6,V7,V3), P_vmul-{F}(V5,V6,V8), P_vmul-{F}(V5,V7,V9) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #441: mergings( V3 == V11, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V7 == V10; #434 ), references = 2, size of lhs = 8:
% 2.44/2.62 P_vd512-{F}(V0), P_v1-{F}(V1), P_vd508-{F}(V2), P_vd511-{F}(V3), P_vd509-{F}(V4), P_vplus-{F}(V5,V6,V3), P_vmul-{F}(V4,V5,V7), P_vmul-{F}(V4,V6,V8) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #453: mergings( V3 == V5, V6 == V7, V4 == V8; #449 ), references = 1, size of lhs = 10:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_v1-{F}(V5), P_vskolem2-{F}(V6,V7), V6 == V5, P_vsucc-{F}(V7,V8), V6 == V8 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #456: mergings( V3 == V5; #454 ), references = 2, size of lhs = 9:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vskolem2-{F}(V5,V6), V5 == V4, P_vsucc-{F}(V6,V7), V5 == V7 | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #459: exists( #89, #456 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_v1-{F}(V4), P_vskolem2-{F}(V5,V6), V5 == V4 | P_vsucc-{T}(V6,V5)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #462: exists( #83, #441 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd512-{F}(V0), P_v1-{F}(V1), P_vd508-{F}(V2), P_vd511-{F}(V3), P_vd509-{F}(V4), P_vplus-{F}(V5,V6,V3), P_vmul-{F}(V4,V5,V7) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #477: mergings( V2 == V7, V7 == V14, V3 == V8, V8 == V0, V4 == V9, V9 == V15, V5 == V10, V10 == V12, V6 == V11, V11 == V13, V16 == V15; #465 ), references = 1, size of lhs = 7:
% 2.44/2.62 P_vd512-{F}(V0), P_v1-{F}(V1), P_vd508-{F}(V2), P_vd511-{F}(V3), V3 == V1, P_vd509-{F}(V4), P_vmul-{F}(V4,V1,V4) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #492: mergings( V1 == V5, V5 == V9, V9 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V7, V7 == V11, V11 == V16, V4 == V8, V8 == V12, V12 == V13; #479 ), references = 2, size of lhs = 4:
% 2.44/2.62 P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vd509-{F}(V3) | P_v1-{T}(V2)
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #515: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V2 == V5, V5 == V8, V8 == V13, V13 == V16, V16 == V18, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V19; #497 ), references = 1, size of lhs = 3:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V0), P_vd509-{F}(V1) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #528: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V12; #516 ), references = 1, size of lhs = 2:
% 2.44/2.62 P_vd508-{F}(V0), P_vd511-{F}(V0) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #546: mergings( V1 == V3, V3 == V6, V6 == V10, V4 == V7, V7 == V9, V2 == V5, V5 == V8, V8 == V11; #537 ), references = 1, size of lhs = 3:
% 2.44/2.62 P_vd511-{F}(V0), P_vd508-{F}(V1), P_vd509-{F}(V2) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #553: mergings( V1 == V2, V2 == V4, V4 == V7, V3 == V5, V5 == V6; #547 ), references = 1, size of lhs = 2:
% 2.44/2.62 P_vd511-{F}(V0), P_vd508-{F}(V1) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #558: mergings( V1 == V2, V2 == V3, V3 == V4; #554 ), references = 1, size of lhs = 1:
% 2.44/2.62 P_vd508-{F}(V0) | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 #560: exists( #84, #554 ), references = 1, size of lhs = 0:
% 2.44/2.62 FALSE | FALSE
% 2.44/2.62 (used 0 times, uses = {})
% 2.44/2.62
% 2.44/2.62 number of learnt formulas = 70
% 2.44/2.62
% 2.44/2.62
% 2.44/2.62 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/2.62
% 2.44/2.62 randbase = 1
%------------------------------------------------------------------------------