TSTP Solution File: NUM837+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM837+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 109.31s 109.51s
% Output : Refutation 109.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM837+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 : n024.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 23:42:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 109.31/109.51 GeoParameters:
% 109.31/109.51
% 109.31/109.51 tptp_input = 1
% 109.31/109.51 tptp_output = 0
% 109.31/109.51 nonempty = 1
% 109.31/109.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 109.31/109.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 109.31/109.51
% 109.31/109.51
% 109.31/109.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 109.31/109.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 109.31/109.51
% 109.31/109.51 RuleSystem INPUT:
% 109.31/109.51
% 109.31/109.51 Initial Rules:
% 109.31/109.51 #0: input, references = 4, size of lhs = 3:
% 109.31/109.51 P_vd269-{F}(V3), P_vd268-{F}(V1), P_vplus-{F}(V1,V2,V3) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #1: input, references = 3, size of lhs = 3:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2) | less-{T}(V0,V2)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #2: input, references = 5, size of lhs = 3:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2) | less-{T}(V1,V0)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #3: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), leq-{F}(V3,V4) | geq-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #4: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), geq-{F}(V3,V4) | leq-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #5: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), leq-{F}(V4,V3) | pppp0-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #6: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp0-{F}(V4,V3) | leq-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #7: input, references = 3, size of lhs = 5:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp0-{F}(V3,V4), V3 == V4 | less-{T}(V3,V4)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #8: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), less-{F}(V3,V4) | pppp0-{T}(V3,V4)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #9: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), #-{F} V4 | pppp0-{T}(V4,V4)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #10: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), geq-{F}(V4,V3) | pppp1-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #11: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp1-{F}(V4,V3) | geq-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #12: input, references = 3, size of lhs = 5:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp1-{F}(V3,V4), V3 == V4 | greater-{T}(V3,V4)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #13: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V3,V4) | pppp1-{T}(V3,V4)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #14: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), #-{F} V4 | pppp1-{T}(V4,V4)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #15: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), less-{F}(V3,V4) | greater-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #16: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V3,V4) | less-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #17: input, references = 3, size of lhs = 6:
% 109.31/109.51 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)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #18: input, references = 4, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), less-{F}(V4,V4) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #19: input, references = 3, size of lhs = 5:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V3,V4), less-{F}(V3,V4) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #20: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V4,V4) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #21: input, references = 4, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), less-{F}(V4,V3) | pppp2-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #22: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp2-{F}(V4,V3) | less-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #23: input, references = 6, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp2-{F}(V3,V4) | EXISTS V5: pppp4-{T}(V3,V4,V5)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #24: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V5,V6) | pppp2-{T}(V3,V6)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #25: input, references = 5, size of lhs = 3:
% 109.31/109.51 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #26: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), greater-{F}(V4,V3) | pppp3-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #27: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp3-{F}(V4,V3) | greater-{T}(V4,V3)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #28: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp3-{F}(V3,V4) | EXISTS V5: pppp5-{T}(V3,V4,V5)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #29: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V4,V5,V6) | pppp3-{T}(V6,V4)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #30: input, references = 5, size of lhs = 3:
% 109.31/109.51 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #31: input, references = 3, size of lhs = 6:
% 109.31/109.51 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)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #32: input, references = 3, size of lhs = 1:
% 109.31/109.51 pppp8-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #33: input, references = 3, size of lhs = 1:
% 109.31/109.51 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #34: input, references = 3, size of lhs = 3:
% 109.31/109.51 pppp7-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #35: input, references = 3, size of lhs = 3:
% 109.31/109.51 pppp6-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #36: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V6,V5,V6) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #37: input, references = 3, size of lhs = 5:
% 109.31/109.51 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
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #38: input, references = 3, size of lhs = 4:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V6,V5,V6) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #39: input, references = 4, size of lhs = 6:
% 109.31/109.51 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
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #40: input, references = 5, size of lhs = 8:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V4,V6), P_vplus-{F}(V6,V5,V7), P_vplus-{F}(V4,V5,V8), P_vplus-{F}(V3,V8,V9), V7 == V9 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #41: input, references = 4, size of lhs = 7:
% 109.31/109.51 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
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #42: input, references = 7, size of lhs = 11:
% 109.31/109.51 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
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #43: input, references = 4, size of lhs = 0:
% 109.31/109.51 FALSE | EXISTS V0: P_vd269-{T}(V0)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #44: input, references = 11, size of lhs = 2:
% 109.31/109.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #45: input, references = 4, size of lhs = 0:
% 109.31/109.51 FALSE | EXISTS V0: P_vd268-{T}(V0)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #46: input, references = 5, size of lhs = 0:
% 109.31/109.51 FALSE | EXISTS V0: P_vd271-{T}(V0)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #47: input, references = 4, size of lhs = 1:
% 109.31/109.51 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #48: input, references = 3, size of lhs = 0:
% 109.31/109.51 FALSE | EXISTS V0: P_v1-{T}(V0)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 number of initial rules = 49
% 109.31/109.51
% 109.31/109.51 Simplifiers:
% 109.31/109.51 #49: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 P_vd269-{F}(V0), P_vd269-{F}(V1), V0 == V1 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #50: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #51: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 P_vd268-{F}(V0), P_vd268-{F}(V1), V0 == V1 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #52: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 P_vd271-{F}(V0), P_vd271-{F}(V1), V0 == V1 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #53: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #54: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #55: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #56: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #57: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #58: unsound, references = 3, size of lhs = 3:
% 109.31/109.51 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 number of simplifiers = 10
% 109.31/109.51
% 109.31/109.51 Learnt:
% 109.31/109.51 #64: mergings( V1 == V2, V2 == V3; #61 ), references = 1, size of lhs = 2:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V0) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #70: exists( #44, #41 ), references = 1, size of lhs = 5:
% 109.31/109.51 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)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #78: exists( #44, #40 ), references = 3, size of lhs = 6:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V5,V6,V7), P_vplus-{F}(V4,V6,V8) | P_vplus-{T}(V3,V8,V7)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #79: exists( #44, #42 ), references = 1, size of lhs = 9:
% 109.31/109.51 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)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #86: exists( #44, #42 ), references = 1, size of lhs = 9:
% 109.31/109.51 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)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #96: exists( #47, #42 ), references = 1, size of lhs = 9:
% 109.31/109.51 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)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #101: exists( #44, #40 ), references = 1, size of lhs = 6:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V4,V6,V7), P_vplus-{F}(V3,V7,V8) | P_vplus-{T}(V5,V6,V8)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #106: exists( #44, #104 ), references = 1, size of lhs = 6:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V4,V6,V7), pppp4-{F}(V3,V8,V7) | P_vplus-{T}(V5,V6,V8)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #117: exists( #44, #115 ), references = 1, size of lhs = 6:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V4,V6,V7), pppp5-{F}(V8,V3,V7) | P_vplus-{T}(V5,V6,V8)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #217: exists( #44, #25 ), references = 2, size of lhs = 1:
% 109.31/109.51 pppp4-{F}(V0,V1,V2) | P_vplus-{T}(V0,V2,V1)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #218: exists( #44, #30 ), references = 1, size of lhs = 1:
% 109.31/109.51 pppp5-{F}(V0,V1,V2) | P_vplus-{T}(V1,V2,V0)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #224: mergings( V0 == V6, V1 == V7, V2 == V8; #220 ), references = 1, size of lhs = 7:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp2-{F}(V3,V4), P_vplus-{F}(V5,V6,V7), pppp4-{F}(V5,V7,V8), V6 == V8 | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #232: mergings( V0 == V6, V6 == V9, V1 == V7, V7 == V10, V2 == V8, V8 == V11; #225 ), references = 1, size of lhs = 6:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1), P_vd271-{F}(V2), pppp2-{F}(V3,V4), P_vplus-{F}(V3,V5,V4), pppp2-{F}(V6,V7) | pppp4-{T}(V3,V4,V5)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #242: exists( #44, #42 ), references = 1, size of lhs = 9:
% 109.31/109.51 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)
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #258: mergings( V0 == V4, V1 == V3; #255 ), references = 1, size of lhs = 4:
% 109.31/109.51 P_vd271-{F}(V0), P_vd269-{F}(V1), P_vd268-{F}(V2), pppp2-{F}(V2,V1) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #266: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #261 ), references = 1, size of lhs = 2:
% 109.31/109.51 P_vd269-{F}(V0), P_vd268-{F}(V1) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #270: mergings( V1 == V2, V2 == V3; #267 ), references = 1, size of lhs = 1:
% 109.31/109.51 P_vd269-{F}(V0) | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 #272: exists( #43, #267 ), references = 1, size of lhs = 0:
% 109.31/109.51 FALSE | FALSE
% 109.31/109.51 (used 0 times, uses = {})
% 109.31/109.51
% 109.31/109.51 number of learnt formulas = 18
% 109.31/109.51
% 109.31/109.51
% 109.31/109.51 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 109.31/109.51
% 109.31/109.51 randbase = 1
%------------------------------------------------------------------------------