%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM836+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 173.14s 173.38s
% Output : Refutation 173.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM836+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jul 23 00:08:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 173.14/173.38 GeoParameters:
% 173.14/173.38
% 173.14/173.38 tptp_input = 1
% 173.14/173.38 tptp_output = 0
% 173.14/173.38 nonempty = 1
% 173.14/173.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 173.14/173.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 173.14/173.38
% 173.14/173.38
% 173.14/173.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 173.14/173.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 173.14/173.38
% 173.14/173.38 RuleSystem INPUT:
% 173.14/173.38
% 173.14/173.38 Initial Rules:
% 173.14/173.38 #0: input, references = 4, size of lhs = 2:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1) | greater-{T}(V0,V1)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #1: input, references = 4, size of lhs = 2:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1) | less-{T}(V0,V1)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #2: input, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V1), P_vd204-{F}(V1), greater-{F}(V1,V1) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #3: input, references = 4, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), less-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #4: input, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp0-{F}(V3,V2) | less-{T}(V3,V2)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #5: input, references = 6, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #6: input, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V2,V4,V5) | pppp0-{T}(V2,V5)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #7: input, references = 4, size of lhs = 3:
% 173.14/173.38 pppp2-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #8: input, references = 4, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), greater-{F}(V3,V2) | pppp1-{T}(V3,V2)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #9: input, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp1-{F}(V3,V2) | greater-{T}(V3,V2)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #10: input, references = 6, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp1-{F}(V2,V3) | EXISTS V4: pppp3-{T}(V2,V3,V4)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #11: input, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V3,V4,V5) | pppp1-{T}(V5,V3)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #12: input, references = 5, size of lhs = 3:
% 173.14/173.38 pppp3-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #13: input, references = 3, size of lhs = 5:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), #-{F} V2, #-{F} V3, V2 == V3 | pppp6-{T}(V2,V3), pppp7-{T}(V2,V3)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #14: input, references = 3, size of lhs = 1:
% 173.14/173.38 pppp6-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #15: input, references = 3, size of lhs = 1:
% 173.14/173.38 pppp7-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #16: input, references = 3, size of lhs = 3:
% 173.14/173.38 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #17: input, references = 3, size of lhs = 3:
% 173.14/173.38 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #18: input, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V5,V4,V5) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #19: input, references = 5, size of lhs = 4:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V7,V4,V5), P_vplus-{F}(V5,V6,V7) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #20: input, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V5,V4,V5) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #21: input, references = 5, size of lhs = 5:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V4,V2,V6), P_vplus-{F}(V4,V3,V6), V2 == V3 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #22: input, references = 5, size of lhs = 7:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V2,V3,V5), P_vplus-{F}(V5,V4,V6), P_vplus-{F}(V3,V4,V7), P_vplus-{F}(V2,V7,V8), V6 == V8 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #23: input, references = 4, size of lhs = 6:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V2,V4), P_vsucc-{F}(V3,V5), V4 == V5 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #24: input, references = 6, size of lhs = 10:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V2,V4), P_vsucc-{F}(V3,V5), P_vsucc-{F}(V6,V7), P_vplus-{F}(V3,V7,V8), P_vplus-{F}(V3,V6,V9), P_vsucc-{F}(V9,V10), V8 == V10 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #25: input, references = 4, size of lhs = 0:
% 173.14/173.38 FALSE | EXISTS V0: P_vd203-{T}(V0)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #26: input, references = 4, size of lhs = 0:
% 173.14/173.38 FALSE | EXISTS V0: P_vd204-{T}(V0)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #27: input, references = 9, size of lhs = 2:
% 173.14/173.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #28: input, references = 6, size of lhs = 1:
% 173.14/173.38 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #29: input, references = 3, size of lhs = 0:
% 173.14/173.38 FALSE | EXISTS V0: P_v1-{T}(V0)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 number of initial rules = 30
% 173.14/173.38
% 173.14/173.38 Simplifiers:
% 173.14/173.38 #30: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd203-{F}(V0), P_vd203-{F}(V1), V0 == V1 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #31: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 P_vd204-{F}(V0), P_vd204-{F}(V1), V0 == V1 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #32: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #33: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #34: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #35: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #36: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #37: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #38: unsound, references = 3, size of lhs = 3:
% 173.14/173.38 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 number of simplifiers = 9
% 173.14/173.38
% 173.14/173.38 Learnt:
% 173.14/173.38 #41: exists( #27, #22 ), references = 2, size of lhs = 5:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V2,V3,V4), P_vplus-{F}(V3,V5,V6), P_vplus-{F}(V2,V6,V7) | P_vplus-{T}(V4,V5,V7)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #44: exists( #27, #23 ), references = 2, size of lhs = 4:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V4) | P_vplus-{T}(V3,V2,V4)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #45: exists( #27, #24 ), references = 1, size of lhs = 7:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V2), P_vsucc-{F}(V4,V5), P_vplus-{F}(V4,V3,V6), P_vsucc-{F}(V6,V7) | P_vplus-{T}(V4,V2,V7)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #52: exists( #28, #24 ), references = 1, size of lhs = 8:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V2,V4), P_vsucc-{F}(V3,V5), P_vsucc-{F}(V6,V7), P_vplus-{F}(V3,V7,V8), P_vplus-{F}(V3,V6,V9) | P_vsucc-{T}(V9,V8)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #57: exists( #28, #24 ), references = 1, size of lhs = 8:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_v1-{F}(V2), P_vplus-{F}(V3,V2,V4), P_vsucc-{F}(V3,V5), P_vsucc-{F}(V6,V7), P_vplus-{F}(V3,V7,V8), P_vplus-{F}(V3,V6,V9) | P_vsucc-{T}(V9,V8)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #63: exists( #27, #7 ), references = 4, size of lhs = 1:
% 173.14/173.38 pppp2-{F}(V0,V1,V2) | P_vplus-{T}(V0,V2,V1)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #74: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #69 ), references = 2, size of lhs = 6:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp0-{F}(V2,V3), P_vplus-{F}(V4,V2,V5), P_vplus-{F}(V4,V3,V6), P_vplus-{F}(V6,V7,V5) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #83: mergings( V0 == V5, V1 == V6; #80 ), references = 1, size of lhs = 4:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp0-{F}(V2,V3), P_vplus-{F}(V2,V4,V3) | pppp2-{T}(V2,V3,V4)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #90: exists( #27, #22 ), references = 3, size of lhs = 5:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V2,V3,V4), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V3,V5,V7) | P_vplus-{T}(V2,V7,V6)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #98: exists( #27, #96 ), references = 1, size of lhs = 5:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), P_vplus-{F}(V2,V3,V4), P_vplus-{F}(V3,V5,V6), pppp3-{F}(V7,V2,V6) | P_vplus-{T}(V4,V5,V7)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #172: exists( #27, #12 ), references = 3, size of lhs = 1:
% 173.14/173.38 pppp3-{F}(V0,V1,V2) | P_vplus-{T}(V1,V2,V0)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #177: mergings( V0 == V5, V1 == V6; #174 ), references = 1, size of lhs = 6:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp1-{F}(V2,V3), P_vplus-{F}(V4,V5,V6), pppp3-{F}(V6,V4,V7), V5 == V7 | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #183: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #178 ), references = 1, size of lhs = 5:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp1-{F}(V2,V3), pppp1-{F}(V4,V5), P_vplus-{F}(V5,V6,V4) | pppp3-{T}(V4,V5,V6)
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #194: mergings( V0 == V5, V1 == V6; #189 ), references = 3, size of lhs = 4:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp1-{F}(V2,V3), P_vplus-{F}(V2,V4,V3) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #197: mergings( V0 == V5, V1 == V6; #190 ), references = 1, size of lhs = 6:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp0-{F}(V2,V3), P_vplus-{F}(V4,V2,V5), pppp1-{F}(V5,V6), P_vplus-{F}(V4,V3,V6) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #211: mergings( V2 == V5, V5 == V7, V3 == V6, V6 == V8; #206 ), references = 1, size of lhs = 6:
% 173.14/173.38 P_v1-{F}(V0), P_vd203-{F}(V1), P_vd204-{F}(V2), pppp1-{F}(V3,V4), P_vplus-{F}(V5,V0,V4), P_vplus-{F}(V3,V6,V5) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #233: mergings( V0 == V5, V1 == V6; #230 ), references = 1, size of lhs = 4:
% 173.14/173.38 P_vd203-{F}(V0), P_vd204-{F}(V1), pppp0-{F}(V2,V3), pppp1-{F}(V2,V3) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #243: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #238 ), references = 1, size of lhs = 1:
% 173.14/173.38 P_vd203-{F}(V0) | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 #245: exists( #25, #238 ), references = 1, size of lhs = 0:
% 173.14/173.38 FALSE | FALSE
% 173.14/173.38 (used 0 times, uses = {})
% 173.14/173.38
% 173.14/173.38 number of learnt formulas = 19
% 173.14/173.38
% 173.14/173.38
% 173.14/173.38 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 173.14/173.38
% 173.14/173.38 randbase = 1
%------------------------------------------------------------------------------