TSTP Solution File: NUM840+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM840+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:13:22 EDT 2022
% Result : Theorem 9.59s 9.76s
% Output : Refutation 9.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM840+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 : n003.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 23:02:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.59/9.76 GeoParameters:
% 9.59/9.76
% 9.59/9.76 tptp_input = 1
% 9.59/9.76 tptp_output = 0
% 9.59/9.76 nonempty = 1
% 9.59/9.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.59/9.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.59/9.76
% 9.59/9.76
% 9.59/9.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.59/9.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.59/9.76
% 9.59/9.76 RuleSystem INPUT:
% 9.59/9.76
% 9.59/9.76 Initial Rules:
% 9.59/9.76 #0: input, references = 5, size of lhs = 3:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), less-{F}(V0,V1) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #1: input, references = 6, size of lhs = 5:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4) | less-{T}(V3,V4)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #2: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V4), P_vplus-{F}(V1,V2,V4), V0 == V1 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #3: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), greater-{F}(V3,V4) | greater-{T}(V0,V1)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #4: input, references = 3, size of lhs = 8:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), less-{F}(V5,V6), P_vplus-{F}(V5,V7,V8), P_vplus-{F}(V6,V7,V9) | less-{T}(V8,V9)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #5: input, references = 3, size of lhs = 8:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V6,V7,V9), V8 == V9 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #6: input, references = 4, size of lhs = 8:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), greater-{F}(V5,V6), P_vplus-{F}(V5,V7,V8), P_vplus-{F}(V6,V7,V9) | greater-{T}(V8,V9)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #7: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), less-{F}(V5,V6) | greater-{T}(V6,V5)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #8: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), greater-{F}(V5,V6) | less-{T}(V6,V5)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #9: input, references = 4, size of lhs = 8:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), #-{F} V5, #-{F} V6, V5 == V6 | greater-{T}(V5,V6), less-{T}(V5,V6)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #10: input, references = 5, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), less-{F}(V6,V6) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #11: input, references = 4, size of lhs = 7:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), greater-{F}(V5,V6), less-{F}(V5,V6) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #12: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), greater-{F}(V6,V6) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #13: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), less-{F}(V6,V5) | pppp0-{T}(V6,V5)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #14: input, references = 4, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), pppp0-{F}(V6,V5) | less-{T}(V6,V5)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #15: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), pppp0-{F}(V5,V6) | EXISTS V7: pppp2-{T}(V5,V6,V7)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #16: input, references = 4, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V5,V7,V8) | pppp0-{T}(V5,V8)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #17: input, references = 3, size of lhs = 3:
% 9.59/9.76 pppp2-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #18: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), greater-{F}(V6,V5) | pppp1-{T}(V6,V5)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #19: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), pppp1-{F}(V6,V5) | greater-{T}(V6,V5)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #20: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), pppp1-{F}(V5,V6) | EXISTS V7: pppp3-{T}(V5,V6,V7)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #21: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V6,V7,V8) | pppp1-{T}(V8,V6)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #22: input, references = 3, size of lhs = 3:
% 9.59/9.76 pppp3-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #23: input, references = 3, size of lhs = 8:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), #-{F} V5, #-{F} V6, V5 == V6 | pppp6-{T}(V5,V6), pppp7-{T}(V5,V6)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #24: input, references = 3, size of lhs = 1:
% 9.59/9.76 pppp6-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #25: input, references = 3, size of lhs = 1:
% 9.59/9.76 pppp7-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #26: input, references = 3, size of lhs = 3:
% 9.59/9.76 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #27: input, references = 3, size of lhs = 3:
% 9.59/9.76 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #28: input, references = 5, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V8,V7,V8) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #29: input, references = 4, size of lhs = 7:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V10,V7,V8), P_vplus-{F}(V8,V9,V10) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #30: input, references = 3, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V8,V7,V8) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #31: input, references = 5, size of lhs = 8:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V7,V5,V9), P_vplus-{F}(V7,V6,V9), V5 == V6 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #32: input, references = 5, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V5,V7,V7) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #33: input, references = 4, size of lhs = 8:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vplus-{F}(V6,V5,V7), P_vplus-{F}(V5,V6,V8), V7 == V8 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #34: input, references = 4, size of lhs = 10:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_vsucc-{F}(V5,V7), P_vplus-{F}(V7,V6,V8), P_vplus-{F}(V5,V6,V9), P_vsucc-{F}(V9,V10), V8 == V10 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #35: input, references = 5, size of lhs = 9:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_v1-{F}(V5), P_vplus-{F}(V5,V6,V7), P_vsucc-{F}(V6,V8), V7 == V8 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #36: input, references = 4, size of lhs = 11:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V9), P_vplus-{F}(V9,V8,V10), P_vplus-{F}(V7,V8,V11), P_vplus-{F}(V6,V11,V12), V10 == V12 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #37: input, references = 5, size of lhs = 9:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V5,V7), P_vsucc-{F}(V6,V8), V7 == V8 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #38: input, references = 4, size of lhs = 13:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V5,V7), P_vsucc-{F}(V6,V8), P_vsucc-{F}(V9,V10), P_vplus-{F}(V6,V10,V11), P_vplus-{F}(V6,V9,V12), P_vsucc-{F}(V12,V13), V11 == V13 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #39: input, references = 4, size of lhs = 0:
% 9.59/9.76 FALSE | EXISTS V0: P_vd328-{T}(V0)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #40: input, references = 4, size of lhs = 0:
% 9.59/9.76 FALSE | EXISTS V0: P_vd329-{T}(V0)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #41: input, references = 18, size of lhs = 2:
% 9.59/9.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #42: input, references = 5, size of lhs = 0:
% 9.59/9.76 FALSE | EXISTS V0: P_vd330-{T}(V0)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #43: input, references = 7, size of lhs = 1:
% 9.59/9.76 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #44: input, references = 3, size of lhs = 0:
% 9.59/9.76 FALSE | EXISTS V0: P_v1-{T}(V0)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 number of initial rules = 45
% 9.59/9.76
% 9.59/9.76 Simplifiers:
% 9.59/9.76 #45: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 P_vd328-{F}(V0), P_vd328-{F}(V1), V0 == V1 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #46: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 P_vd329-{F}(V0), P_vd329-{F}(V1), V0 == V1 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #47: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #48: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 P_vd330-{F}(V0), P_vd330-{F}(V1), V0 == V1 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #49: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #50: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #51: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #52: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #53: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #54: unsound, references = 3, size of lhs = 3:
% 9.59/9.76 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 number of simplifiers = 10
% 9.59/9.76
% 9.59/9.76 Learnt:
% 9.59/9.76 #58: exists( #41, #28 ), references = 1, size of lhs = 4:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V0), P_vd330-{F}(V1), P_vplus-{F}(V2,V3,V2) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #59: exists( #41, #32 ), references = 1, size of lhs = 4:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V0), P_vd330-{F}(V1), P_vplus-{F}(V2,V3,V3) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #62: exists( #41, #35 ), references = 1, size of lhs = 5:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V0), P_v1-{F}(V0), P_vd330-{F}(V1), P_vsucc-{F}(V1,V2) | P_vplus-{T}(V0,V1,V2)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #63: exists( #41, #37 ), references = 1, size of lhs = 5:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V0), P_vd330-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2) | P_vplus-{T}(V0,V1,V2)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #67: exists( #43, #65 ), references = 1, size of lhs = 4:
% 9.59/9.76 P_v1-{F}(V0), P_vd328-{F}(V0), P_vd329-{F}(V0), P_vd330-{F}(V1) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #69: exists( #41, #31 ), references = 1, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V0), P_vd330-{F}(V1), P_vplus-{F}(V2,V3,V4), P_vplus-{F}(V2,V5,V4), V3 == V5 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #72: exists( #41, #70 ), references = 1, size of lhs = 3:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V0), P_vd330-{F}(V1) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #74: exists( #42, #71 ), references = 2, size of lhs = 2:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V0) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #78: exists( #41, #35 ), references = 3, size of lhs = 8:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_v1-{F}(V4), P_vplus-{F}(V4,V5,V6), P_vsucc-{F}(V5,V7), V6 == V7 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #79: exists( #41, #28 ), references = 1, size of lhs = 5:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V4,V5,V4) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #80: exists( #41, #29 ), references = 1, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V6,V7,V4) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #84: exists( #41, #75 ), references = 2, size of lhs = 5:
% 9.59/9.76 P_vd328-{F}(V0), P_v1-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vsucc-{F}(V2,V3) | P_vplus-{T}(V0,V2,V3)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #85: exists( #41, #76 ), references = 1, size of lhs = 4:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V3,V4,V3) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #86: exists( #41, #77 ), references = 1, size of lhs = 5:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V5,V6,V3) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #88: exists( #41, #78 ), references = 1, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6) | P_vplus-{T}(V4,V5,V6)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #93: exists( #41, #32 ), references = 1, size of lhs = 5:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V4,V5,V5) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #101: exists( #41, #31 ), references = 1, size of lhs = 7:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V4,V7,V6), V5 == V7 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #102: exists( #41, #33 ), references = 2, size of lhs = 7:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V5,V4,V7), V6 == V7 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #108: exists( #41, #102 ), references = 4, size of lhs = 5:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V4,V5,V6) | P_vplus-{T}(V5,V4,V6)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #130: mergings( V3 == V7, V4 == V1, V5 == V0, V6 == V8; #125 ), references = 1, size of lhs = 7:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vsucc-{F}(V4,V1), P_vplus-{F}(V4,V2,V5), P_vsucc-{F}(V5,V6) | P_vplus-{T}(V2,V1,V6)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #150: mergings( V2 == V6, V6 == V7, V7 == V11, V11 == V12, V12 == V19, V3 == V8, V8 == V13, V13 == V20, V16 == V17, V17 == V18, V4 == V9, V5 == V10, V9 == V15, V10 == V18; #135 ), references = 1, size of lhs = 7:
% 9.59/9.76 P_vd330-{F}(V0), P_vd328-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vd329-{F}(V3), P_vsucc-{F}(V4,V3), P_vplus-{F}(V4,V0,V5), P_vplus-{F}(V1,V6,V3) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #166: mergings( V3 == V7, V7 == V8, V8 == V12, V12 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V15 == V16, V16 == V17, V5 == V10, V6 == V11, V10 == V1, V11 == V17; #151 ), references = 1, size of lhs = 6:
% 9.59/9.76 P_vd330-{F}(V0), P_vd328-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vd329-{F}(V3), P_vsucc-{F}(V4,V3), P_vplus-{F}(V1,V5,V3) | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #186: exists( #41, #36 ), references = 1, size of lhs = 9:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V9,V10), P_vplus-{F}(V7,V9,V11) | P_vplus-{T}(V6,V11,V10)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #187: exists( #41, #38 ), references = 1, size of lhs = 11:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V5,V7), P_vsucc-{F}(V6,V8), P_vsucc-{F}(V9,V10), P_vplus-{F}(V6,V9,V11), P_vsucc-{F}(V11,V12) | P_vplus-{T}(V6,V10,V12)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #207: exists( #43, #78 ), references = 1, size of lhs = 6:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_v1-{F}(V4), P_vplus-{F}(V4,V5,V6) | P_vsucc-{T}(V5,V6)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #208: exists( #43, #37 ), references = 1, size of lhs = 7:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V5,V7) | P_vsucc-{T}(V6,V7)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #228: mergings( V0 == V7, V7 == V12, V1 == V8, V8 == V13, V2 == V9, V3 == V10, V4 == V11, V9 == V14, V10 == V15, V11 == V16; #217 ), references = 1, size of lhs = 9:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), P_vd330-{F}(V2), P_vplus-{F}(V0,V2,V3), P_vplus-{F}(V1,V2,V4), less-{F}(V5,V6), P_vplus-{F}(V7,V8,V5), P_vplus-{F}(V9,V8,V6), V7 == V9 | less-{T}(V7,V9)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #244: mergings( V3 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V15, V4 == V1, V12 == V13, V13 == V14, V14 == V11, V5 == V0, V6 == V11; #232 ), references = 2, size of lhs = 5:
% 9.59/9.76 P_vd330-{F}(V0), P_vd328-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vd329-{F}(V3), V1 == V3 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #249: mergings( V3 == V4, V4 == V5; #246 ), references = 1, size of lhs = 5:
% 9.59/9.76 P_v1-{F}(V0), P_vd328-{F}(V0), P_vd330-{F}(V1), P_vd329-{F}(V2), V0 == V2 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #253: exists( #41, #244 ), references = 1, size of lhs = 4:
% 9.59/9.76 P_vd330-{F}(V0), P_vd328-{F}(V1), P_vd329-{F}(V2), V1 == V2 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #257: exists( #42, #250 ), references = 1, size of lhs = 3:
% 9.59/9.76 P_vd328-{F}(V0), P_vd329-{F}(V1), V0 == V1 | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #259: exists( #40, #256 ), references = 1, size of lhs = 1:
% 9.59/9.76 P_vd328-{F}(V0) | P_vd329-{T}(V0)
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 #262: exists( #39, #260 ), references = 1, size of lhs = 0:
% 9.59/9.76 FALSE | FALSE
% 9.59/9.76 (used 0 times, uses = {})
% 9.59/9.76
% 9.59/9.76 number of learnt formulas = 33
% 9.59/9.76
% 9.59/9.76
% 9.59/9.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.59/9.76
% 9.59/9.76 randbase = 1
%------------------------------------------------------------------------------