TSTP Solution File: NUM854+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM854+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:13:24 EDT 2022
% Result : Theorem 1.52s 1.76s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM854+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 23:48:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.52/1.76 GeoParameters:
% 1.52/1.76
% 1.52/1.76 tptp_input = 1
% 1.52/1.76 tptp_output = 0
% 1.52/1.76 nonempty = 1
% 1.52/1.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.52/1.76
% 1.52/1.76
% 1.52/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.76
% 1.52/1.76 RuleSystem INPUT:
% 1.52/1.76
% 1.52/1.76 Initial Rules:
% 1.52/1.76 #0: input, references = 5, size of lhs = 6:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #1: input, references = 6, size of lhs = 6:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #2: input, references = 6, size of lhs = 6:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #3: input, references = 4, size of lhs = 9:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #4: input, references = 5, size of lhs = 9:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #5: input, references = 3, size of lhs = 9:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #6: input, references = 3, size of lhs = 9:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #7: input, references = 3, size of lhs = 9:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #8: input, references = 5, size of lhs = 9:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #9: input, references = 4, size of lhs = 11:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #10: input, references = 4, size of lhs = 12:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #11: input, references = 6, size of lhs = 9:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #12: input, references = 5, size of lhs = 11:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #13: input, references = 5, size of lhs = 9:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #14: input, references = 6, size of lhs = 9:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #15: input, references = 5, size of lhs = 13:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #16: input, references = 3, size of lhs = 8:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #17: input, references = 4, size of lhs = 8:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #18: input, references = 3, size of lhs = 10:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #19: input, references = 3, size of lhs = 8:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #20: input, references = 5, size of lhs = 9:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #21: input, references = 5, size of lhs = 8:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #22: input, references = 3, size of lhs = 8:
% 1.52/1.76 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) | pppp0-{T}(V8,V7)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #23: input, references = 4, size of lhs = 8:
% 1.52/1.76 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) | less-{T}(V8,V7)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #24: input, references = 3, size of lhs = 8:
% 1.52/1.76 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) | EXISTS V9: pppp2-{T}(V7,V8,V9)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #25: input, references = 4, size of lhs = 8:
% 1.52/1.76 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) | pppp0-{T}(V7,V10)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #26: input, references = 3, size of lhs = 3:
% 1.52/1.76 pppp2-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #27: input, references = 3, size of lhs = 8:
% 1.52/1.76 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) | pppp1-{T}(V8,V7)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #28: input, references = 3, size of lhs = 8:
% 1.52/1.76 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) | greater-{T}(V8,V7)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #29: input, references = 3, size of lhs = 8:
% 1.52/1.76 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) | EXISTS V9: pppp3-{T}(V7,V8,V9)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #30: input, references = 3, size of lhs = 8:
% 1.52/1.76 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) | pppp1-{T}(V10,V8)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #31: input, references = 3, size of lhs = 3:
% 1.52/1.76 pppp3-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #32: input, references = 3, size of lhs = 10:
% 1.52/1.76 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 | pppp6-{T}(V7,V8), pppp7-{T}(V7,V8)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #33: input, references = 3, size of lhs = 1:
% 1.52/1.76 pppp6-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #34: input, references = 3, size of lhs = 1:
% 1.52/1.76 pppp7-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #35: input, references = 3, size of lhs = 3:
% 1.52/1.76 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #36: input, references = 3, size of lhs = 3:
% 1.52/1.76 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #37: input, references = 6, size of lhs = 8:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #38: input, references = 6, size of lhs = 9:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #39: input, references = 3, size of lhs = 8:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #40: input, references = 33, size of lhs = 2:
% 1.52/1.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_vmul-{T}(V0,V1,V2)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #41: input, references = 4, size of lhs = 0:
% 1.52/1.76 FALSE | EXISTS V0: P_vd508-{T}(V0)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #42: input, references = 4, size of lhs = 0:
% 1.52/1.76 FALSE | EXISTS V0: P_vd511-{T}(V0)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #43: input, references = 4, size of lhs = 0:
% 1.52/1.76 FALSE | EXISTS V0: P_vd509-{T}(V0)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #44: input, references = 5, size of lhs = 0:
% 1.52/1.76 FALSE | EXISTS V0: P_vd512-{T}(V0)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #45: input, references = 14, size of lhs = 2:
% 1.52/1.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #46: input, references = 4, size of lhs = 1:
% 1.52/1.76 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #47: input, references = 5, size of lhs = 0:
% 1.52/1.76 FALSE | EXISTS V0: P_v1-{T}(V0)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 number of initial rules = 48
% 1.52/1.76
% 1.52/1.76 Simplifiers:
% 1.52/1.76 #48: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 P_vmul-{F}(V0,V1,V2), P_vmul-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #49: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 P_vd508-{F}(V0), P_vd508-{F}(V1), V0 == V1 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #50: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 P_vd511-{F}(V0), P_vd511-{F}(V1), V0 == V1 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #51: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 P_vd509-{F}(V0), P_vd509-{F}(V1), V0 == V1 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #52: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 P_vd512-{F}(V0), P_vd512-{F}(V1), V0 == V1 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #53: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #54: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #55: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #56: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #57: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #58: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #59: unsound, references = 3, size of lhs = 3:
% 1.52/1.76 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 number of simplifiers = 12
% 1.52/1.76
% 1.52/1.76 Learnt:
% 1.52/1.76 #63: exists( #40, #37 ), references = 2, size of lhs = 6:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #64: exists( #40, #38 ), references = 1, size of lhs = 7:
% 1.52/1.76 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,V6), P_vplus-{F}(V6,V7,V4) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #67: exists( #40, #12 ), references = 1, size of lhs = 9:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_vsucc-{F}(V3,V4), P_vmul-{F}(V4,V5,V6), P_vmul-{F}(V3,V5,V7), P_vplus-{F}(V7,V5,V8), V6 == V8 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #68: exists( #40, #15 ), references = 1, size of lhs = 11:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vmul-{F}(V4,V3,V5), P_vsucc-{F}(V6,V7), P_vmul-{F}(V4,V7,V8), P_vmul-{F}(V4,V6,V9), P_vplus-{F}(V9,V4,V10), V8 == V10 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #71: exists( #45, #65 ), references = 1, size of lhs = 7:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_vsucc-{F}(V3,V4), P_vmul-{F}(V4,V5,V6), P_vmul-{F}(V3,V5,V7) | P_vplus-{T}(V7,V5,V6)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #72: exists( #45, #66 ), references = 1, size of lhs = 9:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vmul-{F}(V4,V3,V5), P_vsucc-{F}(V6,V7), P_vmul-{F}(V4,V7,V8), P_vmul-{F}(V4,V6,V9) | P_vplus-{T}(V9,V4,V8)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #80: mergings( V3 == V6, V4 == V7, V5 == V8; #75 ), references = 1, size of lhs = 6:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #85: exists( #40, #13 ), references = 1, size of lhs = 7:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #86: exists( #40, #14 ), references = 1, size of lhs = 7:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vmul-{F}(V4,V3,V5), V5 == V4 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #89: exists( #40, #83 ), references = 1, size of lhs = 6:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), #-{F} V4 | P_vmul-{T}(V3,V4,V4)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #90: exists( #40, #84 ), references = 1, size of lhs = 6:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3), #-{F} V4 | P_vmul-{T}(V4,V3,V4)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #94: mergings( V1 == V3; #92 ), references = 1, size of lhs = 5:
% 1.52/1.76 P_vd511-{F}(V0), P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd509-{F}(V1), P_v1-{F}(V2) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #97: mergings( V1 == V3; #95 ), references = 1, size of lhs = 4:
% 1.52/1.76 P_vd511-{F}(V0), P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd509-{F}(V1) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #105: mergings( V3 == V4; #103 ), references = 1, size of lhs = 5:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2), P_v1-{F}(V3) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #108: mergings( V1 == V4; #106 ), references = 1, size of lhs = 4:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1), P_vd512-{F}(V2) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #110: exists( #44, #106 ), references = 1, size of lhs = 3:
% 1.52/1.76 P_vd508-{F}(V0), P_vd509-{F}(V0), P_vd511-{F}(V1) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #114: exists( #40, #13 ), references = 2, size of lhs = 8:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #115: exists( #40, #14 ), references = 1, size of lhs = 6:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_v1-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4) | P_vmul-{T}(V3,V1,V3)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #117: exists( #40, #111 ), references = 1, size of lhs = 5:
% 1.52/1.76 P_vd508-{F}(V0), P_v1-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3) | P_vmul-{T}(V0,V1,V1)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #122: exists( #40, #114 ), references = 1, size of lhs = 7:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #124: exists( #40, #121 ), references = 1, size of lhs = 6:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #128: exists( #40, #12 ), references = 5, size of lhs = 10:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vsucc-{F}(V5,V6), P_vmul-{F}(V6,V7,V8), P_vmul-{F}(V5,V7,V9), P_vplus-{F}(V9,V7,V10), V8 == V10 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #129: exists( #40, #15 ), references = 1, size of lhs = 12:
% 1.52/1.76 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), P_vsucc-{F}(V8,V9), P_vmul-{F}(V6,V9,V10), P_vmul-{F}(V6,V8,V11), P_vplus-{F}(V11,V6,V12), V10 == V12 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #132: exists( #40, #125 ), references = 5, size of lhs = 9:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_vsucc-{F}(V4,V5), P_vmul-{F}(V5,V6,V7), P_vmul-{F}(V4,V6,V8), P_vplus-{F}(V8,V6,V9), V7 == V9 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #133: exists( #40, #126 ), references = 2, size of lhs = 11:
% 1.52/1.76 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), P_vsucc-{F}(V7,V8), P_vmul-{F}(V5,V8,V9), P_vmul-{F}(V5,V7,V10), P_vplus-{F}(V10,V5,V11), V9 == V11 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #136: exists( #45, #130 ), references = 2, size of lhs = 7:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_vsucc-{F}(V4,V5), P_vmul-{F}(V5,V6,V7), P_vmul-{F}(V4,V6,V8) | P_vplus-{T}(V8,V6,V7)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #137: exists( #45, #131 ), references = 6, size of lhs = 9:
% 1.52/1.76 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), P_vsucc-{F}(V7,V8), P_vmul-{F}(V5,V8,V9), P_vmul-{F}(V5,V7,V10) | P_vplus-{T}(V10,V5,V9)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #140: exists( #40, #132 ), references = 12, size of lhs = 7:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_vsucc-{F}(V4,V5), P_vmul-{F}(V4,V6,V7), P_vplus-{F}(V7,V6,V8) | P_vmul-{T}(V5,V6,V8)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #141: exists( #40, #128 ), references = 1, size of lhs = 8:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vsucc-{F}(V5,V6), P_vmul-{F}(V5,V7,V8), P_vplus-{F}(V8,V7,V9) | P_vmul-{T}(V6,V7,V9)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #153: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V10, V12 == V14; #145 ), references = 2, size of lhs = 10:
% 1.52/1.76 P_v1-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vmul-{F}(V5,V0,V6), P_vsucc-{F}(V5,V7), P_vmul-{F}(V5,V7,V8), P_vmul-{F}(V7,V5,V9), V9 == V8 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #159: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9, V11 == V14; #146 ), references = 2, size of lhs = 10:
% 1.52/1.76 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), P_vsucc-{F}(V5,V7), P_vmul-{F}(V7,V5,V8), P_vmul-{F}(V5,V7,V9), V9 == V8 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #165: mergings( V2 == V7, V3 == V8, V4 == V10, V5 == V11, V13 == V15; #147 ), references = 1, size of lhs = 11:
% 1.52/1.76 P_v1-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vmul-{F}(V1,V2,V3), P_vd509-{F}(V4), P_vd512-{F}(V5), P_vmul-{F}(V6,V0,V7), P_vsucc-{F}(V6,V8), P_vmul-{F}(V6,V8,V9), P_vmul-{F}(V8,V6,V10), V10 == V9 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #172: mergings( V7 == V0; #169 ), references = 1, size of lhs = 7:
% 1.52/1.76 P_v1-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vmul-{F}(V0,V5,V5), P_vsucc-{F}(V5,V0) | P_vmul-{T}(V5,V0,V5)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #174: mergings( V7 == V0; #170 ), references = 1, size of lhs = 7:
% 1.52/1.76 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,V5), P_vsucc-{F}(V5,V4) | P_vmul-{T}(V5,V4,V5)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #192: mergings( V3 == V8, V8 == V12, V4 == V9, V9 == V0, V5 == V10, V10 == V15, V6 == V11, V11 == V19; #181 ), references = 1, size of lhs = 14:
% 1.52/1.76 P_v1-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vmul-{F}(V2,V0,V3), P_vmul-{F}(V1,V2,V4), P_vd509-{F}(V5), P_vsucc-{F}(V6,V5), P_vmul-{F}(V6,V2,V7), P_vmul-{F}(V2,V8,V7), P_vsucc-{F}(V8,V9), P_vd512-{F}(V10), P_vmul-{F}(V11,V12,V13), P_vmul-{F}(V12,V11,V14), V13 == V14 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #202: mergings( V3 == V8, V8 == V12, V4 == V9, V9 == V0, V5 == V10, V10 == V15, V6 == V11, V11 == V19, V7 == V20; #182 ), references = 1, size of lhs = 13:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vmul-{F}(V1,V6,V5), P_vsucc-{F}(V6,V7), P_vd512-{F}(V8), P_v1-{F}(V9), P_vmul-{F}(V1,V9,V10), P_vmul-{F}(V11,V9,V12), V12 == V11 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #212: mergings( V3 == V8, V8 == V12, V4 == V9, V9 == V0, V5 == V10, V10 == V15, V6 == V11, V11 == V19, V7 == V20; #183 ), references = 1, size of lhs = 12:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vmul-{F}(V1,V6,V5), P_vsucc-{F}(V6,V7), P_vd512-{F}(V8), P_v1-{F}(V9), P_vmul-{F}(V1,V9,V10), P_vplus-{F}(V11,V12,V11) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #225: mergings( V3 == V7, V7 == V11, V4 == V8, V8 == V0, V5 == V9, V9 == V13, V6 == V10, V10 == V18, V1 == V19; #215 ), references = 1, size of lhs = 11:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vmul-{F}(V1,V6,V5), P_vsucc-{F}(V6,V7), P_vd512-{F}(V8), P_v1-{F}(V9), P_vplus-{F}(V10,V11,V10) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #237: mergings( V2 == V7, V7 == V0, V3 == V8, V8 == V0, V4 == V9, V9 == V11, V5 == V10, V10 == V13, V11 == V12, V6 == V14; #226 ), references = 1, size of lhs = 7:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V0), P_vd509-{F}(V1), P_vsucc-{F}(V0,V1), P_vd512-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V5,V4) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #240: exists( #45, #132 ), references = 1, size of lhs = 7:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_vsucc-{F}(V4,V5), P_vmul-{F}(V5,V6,V7), P_vmul-{F}(V4,V6,V8) | P_vplus-{T}(V8,V6,V7)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #241: exists( #45, #128 ), references = 1, size of lhs = 8:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vsucc-{F}(V5,V6), P_vmul-{F}(V6,V7,V8), P_vmul-{F}(V5,V7,V9) | P_vplus-{T}(V9,V7,V8)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #247: exists( #40, #37 ), references = 1, size of lhs = 7:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #250: exists( #40, #244 ), references = 1, size of lhs = 6:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #265: mergings( V3 == V7, V4 == V1, V5 == V9, V6 == V11; #260 ), references = 1, size of lhs = 10:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vd512-{F}(V6), P_v1-{F}(V7), P_vplus-{F}(V8,V9,V10), P_vplus-{F}(V10,V11,V8) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #287: mergings( V3 == V7, V7 == V9, V16 == V17, V9 == V12, V17 == V18, V12 == V15, V18 == V19, V4 == V1, V5 == V20, V6 == V8, V8 == V10, V10 == V13, V13 == V22, V11 == V14, V14 == V23; #271 ), references = 1, size of lhs = 9:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vd512-{F}(V6), P_v1-{F}(V7), P_vplus-{F}(V1,V8,V6) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #298: mergings( V3 == V0, V4 == V1, V5 == V12, V6 == V7, V7 == V8, V8 == V10, V10 == V15, V9 == V11, V11 == V16; #288 ), references = 1, size of lhs = 8:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vsucc-{F}(V3,V2), P_vmul-{F}(V3,V1,V4), P_vd512-{F}(V5), P_v1-{F}(V6), P_vplus-{F}(V1,V7,V5) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #308: mergings( V3 == V7, V4 == V1, V5 == V9, V6 == V11; #303 ), references = 1, size of lhs = 10:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vd512-{F}(V6), P_vmul-{F}(V7,V8,V9), P_vmul-{F}(V8,V7,V10), V9 == V10 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #314: mergings( V3 == V7, V4 == V8, V5 == V10, V6 == V13; #309 ), references = 1, size of lhs = 8:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vd512-{F}(V6), P_vmul-{F}(V7,V8,V9) | P_vmul-{T}(V8,V7,V9)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #323: mergings( V3 == V7, V4 == V1, V5 == V9, V6 == V11; #318 ), references = 1, size of lhs = 10:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vd512-{F}(V6), P_vmul-{F}(V7,V8,V9), P_vmul-{F}(V10,V8,V9), V7 == V10 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #345: mergings( V3 == V7, V7 == V9, V15 == V16, V9 == V12, V16 == V17, V12 == V14, V17 == V18, V4 == V1, V5 == V19, V6 == V8, V8 == V10, V10 == V13, V13 == V21, V11 == V22; #330 ), references = 1, size of lhs = 10:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V1,V5), P_vd512-{F}(V6), P_v1-{F}(V7), P_vmul-{F}(V1,V8,V6), P_vmul-{F}(V6,V8,V1) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #359: mergings( V12 == V14, V3 == V7, V7 == V9, V13 == V14, V9 == V11, V4 == V1, V5 == V15, V6 == V8, V8 == V10; #349 ), references = 1, size of lhs = 7:
% 1.52/1.76 P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vmul-{F}(V1,V2,V3), P_vd509-{F}(V4), P_vsucc-{F}(V5,V4), P_vmul-{F}(V5,V2,V6) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #366: mergings( V3 == V0, V4 == V1, V5 == V9, V6 == V7, V7 == V8; #360 ), references = 1, size of lhs = 6:
% 1.52/1.76 P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vd509-{F}(V3), P_vsucc-{F}(V4,V3), P_vmul-{F}(V4,V2,V5) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #368: exists( #40, #38 ), references = 1, size of lhs = 8:
% 1.52/1.76 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}(V8,V9,V6) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #373: exists( #45, #132 ), references = 1, size of lhs = 7:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2), P_vd512-{F}(V3), P_vsucc-{F}(V4,V5), P_vmul-{F}(V5,V6,V7), P_vmul-{F}(V4,V6,V8) | P_vplus-{T}(V8,V6,V7)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #374: exists( #45, #128 ), references = 1, size of lhs = 8:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vsucc-{F}(V5,V6), P_vmul-{F}(V6,V7,V8), P_vmul-{F}(V5,V7,V9) | P_vplus-{T}(V9,V7,V8)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #379: exists( #40, #4 ), references = 1, size of lhs = 8:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #386: mergings( V2 == V6, V3 == V7, V4 == V9, V5 == V10; #381 ), references = 1, size of lhs = 8:
% 1.52/1.76 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_vplus-{F}(V7,V6,V8), P_vmul-{F}(V9,V6,V8) | P_vsucc-{T}(V5,V9)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #396: exists( #40, #9 ), references = 2, size of lhs = 10:
% 1.52/1.76 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}(V7,V8,V9), P_vmul-{F}(V6,V8,V10), P_vmul-{F}(V5,V10,V11), V9 == V11 | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #397: exists( #40, #10 ), references = 1, size of lhs = 11:
% 1.52/1.76 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
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #398: exists( #40, #11 ), references = 2, size of lhs = 6:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #406: mergings( V3 == V7, V4 == V8, V5 == V10, V6 == V11; #400 ), references = 1, size of lhs = 10:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd509-{F}(V3), P_vd512-{F}(V4), P_vsucc-{F}(V5,V6), P_vmul-{F}(V6,V7,V8), P_vmul-{F}(V8,V9,V10), P_vmul-{F}(V7,V9,V11), P_vmul-{F}(V5,V11,V12) | P_vplus-{T}(V12,V11,V10)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #407: exists( #45, #394 ), references = 1, size of lhs = 9:
% 1.52/1.76 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)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #409: exists( #40, #396 ), references = 1, size of lhs = 8:
% 1.52/1.76 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}(V6,V8,V9), P_vmul-{F}(V5,V9,V10) | P_vmul-{T}(V7,V8,V10)
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #423: mergings( V11 == V13, V3 == V5, V10 == V13, V5 == V7, V12 == V13, V7 == V9, V4 == V6, V6 == V8; #414 ), references = 1, size of lhs = 5:
% 1.52/1.76 P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vmul-{F}(V1,V2,V3), P_vd509-{F}(V4) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #427: mergings( V3 == V4, V4 == V5; #424 ), references = 1, size of lhs = 4:
% 1.52/1.76 P_vd512-{F}(V0), P_vd508-{F}(V1), P_vd511-{F}(V2), P_vd509-{F}(V3) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #429: exists( #44, #424 ), references = 1, size of lhs = 3:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1), P_vd509-{F}(V2) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #431: exists( #43, #428 ), references = 1, size of lhs = 2:
% 1.52/1.76 P_vd508-{F}(V0), P_vd511-{F}(V1) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #433: exists( #42, #430 ), references = 1, size of lhs = 1:
% 1.52/1.76 P_vd508-{F}(V0) | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 #435: exists( #41, #432 ), references = 1, size of lhs = 0:
% 1.52/1.76 FALSE | FALSE
% 1.52/1.76 (used 0 times, uses = {})
% 1.52/1.76
% 1.52/1.76 number of learnt formulas = 69
% 1.52/1.76
% 1.52/1.76
% 1.52/1.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.76
% 1.52/1.76 randbase = 1
%------------------------------------------------------------------------------