TSTP Solution File: NUM837+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:13:21 EDT 2022
% Result : Theorem 13.37s 13.59s
% Output : Refutation 13.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 00:18:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.37/13.59 GeoParameters:
% 13.37/13.59
% 13.37/13.59 tptp_input = 1
% 13.37/13.59 tptp_output = 0
% 13.37/13.59 nonempty = 1
% 13.37/13.59 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.37/13.59 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 13.37/13.59
% 13.37/13.59
% 13.37/13.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.37/13.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.37/13.59
% 13.37/13.59 RuleSystem INPUT:
% 13.37/13.59
% 13.37/13.59 Initial Rules:
% 13.37/13.59 #0: input, references = 4, size of lhs = 3:
% 13.37/13.59 P_vd269-{F}(V3), P_vd268-{F}(V1), P_vplus-{F}(V1,V2,V3) | FALSE
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #1: input, references = 3, size of lhs = 3:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2) | less-{T}(V0,V2)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #2: input, references = 5, size of lhs = 3:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2) | less-{T}(V1,V0)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #3: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), leq-{F}(V3,V4) | geq-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #4: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), geq-{F}(V3,V4) | leq-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #5: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), leq-{F}(V4,V3) | pppp0-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #6: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp0-{F}(V4,V3) | leq-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #7: input, references = 3, size of lhs = 5:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp0-{F}(V3,V4), V3 == V4 | less-{T}(V3,V4)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #8: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), less-{F}(V3,V4) | pppp0-{T}(V3,V4)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #9: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), #-{F} V4 | pppp0-{T}(V4,V4)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #10: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), geq-{F}(V4,V3) | pppp1-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #11: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp1-{F}(V4,V3) | geq-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #12: input, references = 3, size of lhs = 5:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp1-{F}(V3,V4), V3 == V4 | greater-{T}(V3,V4)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #13: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V3,V4) | pppp1-{T}(V3,V4)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #14: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), #-{F} V4 | pppp1-{T}(V4,V4)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #15: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), less-{F}(V3,V4) | greater-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #16: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V3,V4) | less-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #17: input, references = 3, size of lhs = 6:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), #-{F} V3, #-{F} V4, V3 == V4 | greater-{T}(V3,V4), less-{T}(V3,V4)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #18: input, references = 4, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), less-{F}(V4,V4) | FALSE
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #19: input, references = 4, size of lhs = 5:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V3,V4), less-{F}(V3,V4) | FALSE
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #20: input, references = 3, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V4,V4) | FALSE
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #21: input, references = 4, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), less-{F}(V4,V3) | pppp2-{T}(V4,V3)
% 13.37/13.59 (used 0 times, uses = {})
% 13.37/13.59
% 13.37/13.59 #22: input, references = 4, size of lhs = 4:
% 13.37/13.59 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp2-{F}(V4,V3) | less-{T}(V4,V3)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #23: input, references = 6, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp2-{F}(V3,V4) | EXISTS V5: pppp4-{T}(V3,V4,V5)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #24: input, references = 4, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V5,V6) | pppp2-{T}(V3,V6)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #25: input, references = 5, size of lhs = 3:
% 13.37/13.60 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #26: input, references = 3, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V4,V3) | pppp3-{T}(V4,V3)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #27: input, references = 3, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp3-{F}(V4,V3) | greater-{T}(V4,V3)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #28: input, references = 4, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp3-{F}(V3,V4) | EXISTS V5: pppp5-{T}(V3,V4,V5)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #29: input, references = 3, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V4,V5,V6) | pppp3-{T}(V6,V4)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #30: input, references = 4, size of lhs = 3:
% 13.37/13.60 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #31: input, references = 3, size of lhs = 6:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), #-{F} V3, #-{F} V4, V3 == V4 | pppp8-{T}(V3,V4), pppp9-{T}(V3,V4)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #32: input, references = 3, size of lhs = 1:
% 13.37/13.60 pppp8-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #33: input, references = 3, size of lhs = 1:
% 13.37/13.60 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #34: input, references = 3, size of lhs = 3:
% 13.37/13.60 pppp7-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #35: input, references = 3, size of lhs = 3:
% 13.37/13.60 pppp6-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #36: input, references = 3, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V6,V5,V6) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #37: input, references = 5, size of lhs = 5:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V8,V5,V6), P_vplus-{F}(V6,V7,V8) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #38: input, references = 3, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V6,V5,V6) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #39: input, references = 4, size of lhs = 6:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V5,V3,V7), P_vplus-{F}(V5,V4,V7), V3 == V4 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #40: input, references = 3, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V5,V5) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #41: input, references = 4, size of lhs = 6:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V4,V3,V5), P_vplus-{F}(V3,V4,V6), V5 == V6 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #42: input, references = 4, size of lhs = 8:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vsucc-{F}(V3,V5), P_vplus-{F}(V5,V4,V6), P_vplus-{F}(V3,V4,V7), P_vsucc-{F}(V7,V8), V6 == V8 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #43: input, references = 5, size of lhs = 7:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V3,V4,V5), P_vsucc-{F}(V4,V6), V5 == V6 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #44: input, references = 4, size of lhs = 9:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V5,V7), P_vplus-{F}(V7,V6,V8), P_vplus-{F}(V5,V6,V9), P_vplus-{F}(V4,V9,V10), V8 == V10 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #45: input, references = 4, size of lhs = 7:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V3,V5), P_vsucc-{F}(V4,V6), V5 == V6 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #46: input, references = 6, size of lhs = 11:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V3,V5), P_vsucc-{F}(V4,V6), P_vsucc-{F}(V7,V8), P_vplus-{F}(V4,V8,V9), P_vplus-{F}(V4,V7,V10), P_vsucc-{F}(V10,V11), V9 == V11 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #47: input, references = 4, size of lhs = 8:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vskolem2-{F}(V4,V5), P_vsucc-{F}(V5,V6), V4 == V3, V4 == V6 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #48: input, references = 3, size of lhs = 5:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V4) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #49: input, references = 4, size of lhs = 7:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V7), P_vsucc-{F}(V5,V7), V4 == V5 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #50: input, references = 3, size of lhs = 7:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V7), P_vsucc-{F}(V5,V7), V4 == V5 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #51: input, references = 3, size of lhs = 5:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V3) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #52: input, references = 4, size of lhs = 0:
% 13.37/13.60 FALSE | EXISTS V0: P_vd269-{T}(V0)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #53: input, references = 10, size of lhs = 2:
% 13.37/13.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #54: input, references = 4, size of lhs = 0:
% 13.37/13.60 FALSE | EXISTS V0: P_vd268-{T}(V0)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #55: input, references = 5, size of lhs = 0:
% 13.37/13.60 FALSE | EXISTS V0: P_vd271-{T}(V0)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #56: input, references = 6, size of lhs = 1:
% 13.37/13.60 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #57: input, references = 3, size of lhs = 0:
% 13.37/13.60 FALSE | EXISTS V0: P_v1-{T}(V0)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #58: input, references = 6, size of lhs = 1:
% 13.37/13.60 #-{F} V0 | EXISTS V1: P_vskolem2-{T}(V0,V1)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 number of initial rules = 59
% 13.37/13.60
% 13.37/13.60 Simplifiers:
% 13.37/13.60 #59: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 P_vd269-{F}(V0), P_vd269-{F}(V1), V0 == V1 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #60: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #61: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 P_vd268-{F}(V0), P_vd268-{F}(V1), V0 == V1 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #62: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 P_vd271-{F}(V0), P_vd271-{F}(V1), V0 == V1 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #63: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #64: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #65: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 P_vskolem2-{F}(V0,V1), P_vskolem2-{F}(V0,V3), V1 == V3 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #66: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #67: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #68: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #69: unsound, references = 3, size of lhs = 3:
% 13.37/13.60 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 number of simplifiers = 11
% 13.37/13.60
% 13.37/13.60 Learnt:
% 13.37/13.60 #75: mergings( V1 == V2, V2 == V3; #72 ), references = 1, size of lhs = 2:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V0) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #82: exists( #53, #43 ), references = 3, size of lhs = 5:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5) | P_vplus-{T}(V3,V4,V5)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #83: exists( #53, #45 ), references = 1, size of lhs = 5:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5) | P_vplus-{T}(V4,V3,V5)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #88: exists( #56, #47 ), references = 4, size of lhs = 6:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vskolem2-{F}(V4,V5), V4 == V3 | P_vsucc-{T}(V5,V4)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #98: exists( #53, #41 ), references = 4, size of lhs = 4:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V4,V5) | P_vplus-{T}(V4,V3,V5)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #101: exists( #53, #44 ), references = 4, size of lhs = 7:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V5,V7,V9) | P_vplus-{T}(V4,V9,V8)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #102: exists( #53, #46 ), references = 1, size of lhs = 9:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V3,V5), P_vsucc-{F}(V4,V6), P_vsucc-{F}(V7,V8), P_vplus-{F}(V4,V7,V9), P_vsucc-{F}(V9,V10) | P_vplus-{T}(V4,V8,V10)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #122: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #116 ), references = 1, size of lhs = 6:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5), V5 == V3 | P_vskolem2-{T}(V5,V4)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #160: exists( #53, #158 ), references = 1, size of lhs = 7:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V5,V7,V8), pppp4-{F}(V4,V9,V8) | P_vplus-{T}(V6,V7,V9)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #169: mergings( V0 == V6, V6 == V10, V1 == V7, V7 == V11, V2 == V8, V8 == V12; #162 ), references = 1, size of lhs = 9:
% 13.37/13.60 P_v1-{F}(V0), P_vd269-{F}(V1), P_vd268-{F}(V2), P_vd271-{F}(V3), pppp2-{F}(V4,V5), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V7,V9,V10), pppp4-{F}(V6,V11,V10), P_vplus-{F}(V11,V12,V8) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #171: exists( #56, #43 ), references = 1, size of lhs = 5:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V3,V4,V5) | P_vsucc-{T}(V4,V5)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #184: exists( #53, #182 ), references = 1, size of lhs = 7:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V5,V7,V8), pppp5-{F}(V9,V4,V8) | P_vplus-{T}(V6,V7,V9)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #193: mergings( V0 == V6, V6 == V10, V1 == V7, V7 == V11, V2 == V8, V8 == V12; #186 ), references = 1, size of lhs = 9:
% 13.37/13.60 P_v1-{F}(V0), P_vd269-{F}(V1), P_vd268-{F}(V2), P_vd271-{F}(V3), pppp3-{F}(V4,V5), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V7,V9,V10), pppp5-{F}(V11,V6,V10), P_vplus-{F}(V11,V12,V8) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #232: mergings( V2 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V23, V23 == V26, V3 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V24, V24 == V27, V4 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V25, V25 == V28, V5 == V9, V9 == V16; #208 ), references = 1, size of lhs = 8:
% 13.37/13.60 P_v1-{F}(V0), P_vd269-{F}(V1), P_vd268-{F}(V2), P_vd271-{F}(V3), P_vplus-{F}(V0,V4,V5), greater-{F}(V5,V6), P_vplus-{F}(V7,V4,V6), V7 == V0 | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #271: mergings( V2 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V24, V24 == V28, V28 == V31, V31 == V34, V34 == V37, V3 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V29, V29 == V32, V32 == V35, V35 == V38, V4 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V33, V33 == V36, V36 == V39, V5 == V9, V9 == V16, V16 == V20, V20 == V27; #236 ), references = 1, size of lhs = 7:
% 13.37/13.60 P_v1-{F}(V0), P_vd269-{F}(V1), P_vd268-{F}(V2), P_vd271-{F}(V3), P_vplus-{F}(V0,V0,V4), greater-{F}(V4,V5), V5 == V0 | P_vskolem2-{T}(V5,V0)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #280: exists( #53, #46 ), references = 1, size of lhs = 9:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V3,V5), P_vsucc-{F}(V4,V6), P_vsucc-{F}(V7,V8), P_vplus-{F}(V4,V7,V9), P_vsucc-{F}(V9,V10) | P_vplus-{T}(V4,V8,V10)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #287: exists( #53, #25 ), references = 2, size of lhs = 1:
% 13.37/13.60 pppp4-{F}(V0,V1,V2) | P_vplus-{T}(V0,V2,V1)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #295: mergings( V0 == V6, V1 == V7, V2 == V8; #291 ), references = 1, size of lhs = 5:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp2-{F}(V3,V4), P_vplus-{F}(V3,V5,V4) | pppp4-{T}(V3,V4,V5)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #309: exists( #56, #46 ), references = 1, size of lhs = 9:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V3,V5), P_vsucc-{F}(V4,V6), P_vsucc-{F}(V7,V8), P_vplus-{F}(V4,V8,V9), P_vplus-{F}(V4,V7,V10) | P_vsucc-{T}(V10,V9)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #310: exists( #56, #42 ), references = 1, size of lhs = 6:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vsucc-{F}(V3,V4), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V3,V5,V7) | P_vsucc-{T}(V7,V6)
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #325: mergings( V0 == V4, V1 == V3; #322 ), references = 1, size of lhs = 4:
% 13.37/13.60 P_vd271-{F}(V0), P_vd269-{F}(V1), P_vd268-{F}(V2), pppp2-{F}(V2,V1) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #333: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #328 ), references = 1, size of lhs = 2:
% 13.37/13.60 P_vd269-{F}(V0), P_vd268-{F}(V1) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #337: mergings( V1 == V2, V2 == V3; #334 ), references = 1, size of lhs = 1:
% 13.37/13.60 P_vd269-{F}(V0) | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 #339: exists( #52, #334 ), references = 1, size of lhs = 0:
% 13.37/13.60 FALSE | FALSE
% 13.37/13.60 (used 0 times, uses = {})
% 13.37/13.60
% 13.37/13.60 number of learnt formulas = 24
% 13.37/13.60
% 13.37/13.60
% 13.37/13.60 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.37/13.60
% 13.37/13.60 randbase = 1
%------------------------------------------------------------------------------