%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET589+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:16:23 EDT 2022
% Result : Theorem 0.18s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET589+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 02:08:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58 GeoParameters:
% 0.18/0.58
% 0.18/0.58 tptp_input = 1
% 0.18/0.58 tptp_output = 0
% 0.18/0.58 nonempty = 1
% 0.18/0.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.58
% 0.18/0.58 RuleSystem INPUT:
% 0.18/0.58
% 0.18/0.58 Initial Rules:
% 0.18/0.58 #0: input, references = 9, size of lhs = 2:
% 0.18/0.58 subset-{F}(V0,V1), subset-{F}(V2,V0) | subset-{T}(V2,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #1: input, references = 7, size of lhs = 3:
% 0.18/0.58 subset-{F}(V0,V1), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V2,V4) | subset-{T}(V3,V4)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #2: input, references = 6, size of lhs = 3:
% 0.18/0.58 subset-{F}(V0,V1), P_difference-{F}(V2,V1,V3), P_difference-{F}(V2,V0,V4) | subset-{T}(V3,V4)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #3: input, references = 6, size of lhs = 2:
% 0.18/0.58 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V0,V1,V2)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #4: input, references = 3, size of lhs = 2:
% 0.18/0.58 P_difference-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #5: input, references = 5, size of lhs = 1:
% 0.18/0.58 pppp0-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #6: input, references = 5, size of lhs = 2:
% 0.18/0.58 pppp0-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #7: input, references = 3, size of lhs = 2:
% 0.18/0.58 #-{F} V1, member-{F}(V2,V0) | pppp0-{T}(V0,V1,V2), member-{T}(V2,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #8: input, references = 4, size of lhs = 1:
% 0.18/0.58 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #9: input, references = 11, size of lhs = 1:
% 0.18/0.58 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #10: input, references = 4, size of lhs = 2:
% 0.18/0.58 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #11: input, references = 9, size of lhs = 2:
% 0.18/0.58 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp7-{T}(V0,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #12: input, references = 5, size of lhs = 1:
% 0.18/0.58 pppp7-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #13: input, references = 4, size of lhs = 2:
% 0.18/0.58 pppp2-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #14: input, references = 6, size of lhs = 1:
% 0.18/0.58 pppp2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #15: input, references = 4, size of lhs = 1:
% 0.18/0.58 #-{F} V0 | subset-{T}(V0,V0)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #16: input, references = 4, size of lhs = 0:
% 0.18/0.58 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #17: input, references = 4, size of lhs = 1:
% 0.18/0.58 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #18: input, references = 5, size of lhs = 1:
% 0.18/0.58 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #19: input, references = 4, size of lhs = 1:
% 0.18/0.58 pppp5-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #20: input, references = 4, size of lhs = 1:
% 0.18/0.58 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V3,V2,V0,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #21: input, references = 6, size of lhs = 4:
% 0.18/0.58 pppp3-{F}(V0,V1,V2,V3), P_difference-{F}(V0,V3,V4), P_difference-{F}(V1,V2,V5), subset-{F}(V4,V5) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #22: input, references = 4, size of lhs = 3:
% 0.18/0.58 pppp3-{F}(V0,V1,V2,V3), P_difference-{F}(V0,V3,V4), P_difference-{F}(V1,V2,V5) | subset-{T}(V0,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #23: input, references = 13, size of lhs = 2:
% 0.18/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 number of initial rules = 24
% 0.18/0.58
% 0.18/0.58 Simplifiers:
% 0.18/0.58 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.58 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 number of simplifiers = 12
% 0.18/0.58
% 0.18/0.58 Learnt:
% 0.18/0.58 #39: exists( #23, #37 ), references = 4, size of lhs = 5:
% 0.18/0.58 subset-{F}(V0,V1), P_difference-{F}(V1,V2,V3), subset-{F}(V3,V4), P_difference-{F}(V5,V6,V4), pppp3-{F}(V0,V5,V6,V2) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #46: exists( #12, #44 ), references = 2, size of lhs = 3:
% 0.18/0.58 pppp7-{F}(V0,V1), pppp1-{F}(V0,V2), P_difference-{F}(V3,V2,V0) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #48: disj( #11, exists( #12, #44 ) ), references = 1, size of lhs = 3:
% 0.18/0.58 pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V0), #-{F} V3 | pppp1-{T}(V0,V3)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #52: disj( #11, #9+#39 ), references = 1, size of lhs = 4:
% 0.18/0.58 subset-{F}(V0,V1), P_difference-{F}(V2,V3,V1), pppp3-{F}(V4,V2,V3,V5), P_difference-{F}(V6,V5,V0) | pppp7-{T}(V4,V6)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #60: mergings( V6 == V9, V7 == V1, V5 == V8, V4 == V10; #55 ), references = 3, size of lhs = 4:
% 0.18/0.58 subset-{F}(V0,V1), P_difference-{F}(V2,V3,V1), P_difference-{F}(V2,V4,V0), pppp3-{F}(V5,V2,V3,V4) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #63: mergings( V5 == V6; #61 ), references = 5, size of lhs = 4:
% 0.18/0.58 subset-{F}(V0,V1), P_difference-{F}(V2,V3,V0), pppp4-{F}(V4,V3,V2), P_difference-{F}(V2,V4,V1) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #66: exists( #23, #64 ), references = 1, size of lhs = 1:
% 0.18/0.58 pppp4-{F}(V0,V0,V1) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #68: exists( #18, #65 ), references = 1, size of lhs = 1:
% 0.18/0.58 pppp5-{F}(V0,V0) | FALSE
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #79: disj( #11, #9+#0+#8+#46 ), references = 1, size of lhs = 3:
% 0.18/0.58 subset-{F}(V0,V1), pppp7-{F}(V0,V2), P_difference-{F}(V3,V4,V0) | pppp7-{T}(V1,V4)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #88: exists( #12, #84 ), references = 1, size of lhs = 2:
% 0.42/0.58 P_difference-{F}(V0,V0,V1), pppp7-{F}(V1,V2) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #89: exists( #12, #85 ), references = 1, size of lhs = 2:
% 0.42/0.58 pppp7-{F}(V0,V1), P_difference-{F}(V1,V2,V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #92: disj( #11, exists( #12, #85 ) ), references = 2, size of lhs = 1:
% 0.42/0.58 P_difference-{F}(V0,V1,V2) | pppp1-{T}(V2,V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #93: disj( #11, exists( #12, #84 ) ), references = 4, size of lhs = 2:
% 0.42/0.58 P_difference-{F}(V0,V0,V1), #-{F} V2 | pppp1-{T}(V1,V2)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #99: exists( #23, #94 ), references = 1, size of lhs = 4:
% 0.42/0.58 subset-{F}(V0,V1), P_difference-{F}(V1,V2,V3), pppp4-{F}(V4,V2,V0), P_difference-{F}(V0,V4,V3) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #100: exists( #23, #95 ), references = 1, size of lhs = 4:
% 0.42/0.58 subset-{F}(V0,V1), P_difference-{F}(V0,V2,V3), P_difference-{F}(V1,V4,V3), pppp3-{F}(V5,V0,V2,V4) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #105: exists( #23, #103 ), references = 2, size of lhs = 3:
% 0.42/0.58 subset-{F}(V0,V1), P_difference-{F}(V0,V2,V1), pppp4-{F}(V2,V3,V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #109: exists( #23, #107 ), references = 1, size of lhs = 2:
% 0.42/0.58 P_difference-{F}(V0,V0,V1), pppp4-{F}(V2,V3,V1) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #115: exists( #23, #112 ), references = 2, size of lhs = 4:
% 0.42/0.58 P_difference-{F}(V0,V0,V1), subset-{F}(V2,V3), P_difference-{F}(V3,V4,V1), pppp3-{F}(V2,V5,V6,V4) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #116: exists( #23, #110 ), references = 1, size of lhs = 4:
% 0.42/0.58 subset-{F}(V0,V1), P_difference-{F}(V0,V2,V3), pppp3-{F}(V4,V1,V2,V5), P_difference-{F}(V4,V5,V3) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #121: disj( #11, #9+#0+#0+#115 ), references = 1, size of lhs = 5:
% 0.42/0.58 subset-{F}(V0,V1), subset-{F}(V1,V2), P_difference-{F}(V3,V3,V4), P_difference-{F}(V2,V5,V4), pppp3-{F}(V6,V7,V8,V5) | pppp7-{T}(V6,V0)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #126: exists( #23, #124 ), references = 1, size of lhs = 3:
% 0.42/0.58 P_difference-{F}(V0,V0,V1), subset-{F}(V2,V1), pppp4-{F}(V3,V4,V2) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #129: disj( #11, #9+#125 ), references = 1, size of lhs = 2:
% 0.42/0.58 P_difference-{F}(V0,V0,V1), pppp4-{F}(V2,V3,V4) | pppp7-{T}(V4,V1)
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #136: exists( #23, #130 ), references = 1, size of lhs = 4:
% 0.42/0.58 subset-{F}(V0,V1), pppp4-{F}(V2,V1,V3), P_difference-{F}(V3,V0,V4), P_difference-{F}(V3,V2,V4) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #137: exists( #23, #131 ), references = 1, size of lhs = 4:
% 0.42/0.58 subset-{F}(V0,V1), P_difference-{F}(V2,V0,V3), P_difference-{F}(V4,V5,V3), pppp3-{F}(V2,V4,V5,V1) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #138: exists( #23, #132 ), references = 1, size of lhs = 4:
% 0.42/0.58 subset-{F}(V0,V1), P_difference-{F}(V2,V0,V3), P_difference-{F}(V2,V4,V3), pppp3-{F}(V5,V2,V4,V1) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #142: exists( #23, #133 ), references = 1, size of lhs = 2:
% 0.42/0.58 subset-{F}(V0,V1), pppp4-{F}(V0,V1,V2) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #143: exists( #23, #134 ), references = 1, size of lhs = 2:
% 0.42/0.58 subset-{F}(V0,V1), pppp3-{F}(V2,V2,V0,V1) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #144: exists( #23, #135 ), references = 1, size of lhs = 2:
% 0.42/0.58 subset-{F}(V0,V1), pppp3-{F}(V2,V3,V0,V1) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #146: exists( #18, #139 ), references = 2, size of lhs = 2:
% 0.42/0.58 pppp5-{F}(V0,V1), subset-{F}(V0,V1) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #149: exists( #17, #147 ), references = 1, size of lhs = 1:
% 0.42/0.58 pppp6-{F}(V0) | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 #151: exists( #16, #148 ), references = 1, size of lhs = 0:
% 0.42/0.58 FALSE | FALSE
% 0.42/0.58 (used 0 times, uses = {})
% 0.42/0.58
% 0.42/0.58 number of learnt formulas = 31
% 0.42/0.58
% 0.42/0.58
% 0.42/0.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58
% 0.42/0.58 randbase = 1
%------------------------------------------------------------------------------