%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET872+1 : TPTP v8.1.0. Released v3.2.0.
% 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 06:16:53 EDT 2022
% Result : Theorem 5.80s 5.99s
% Output : Refutation 5.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET872+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % 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 02:19:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.80/5.99 GeoParameters:
% 5.80/5.99
% 5.80/5.99 tptp_input = 1
% 5.80/5.99 tptp_output = 0
% 5.80/5.99 nonempty = 1
% 5.80/5.99 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.80/5.99 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.80/5.99
% 5.80/5.99
% 5.80/5.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.80/5.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.80/5.99
% 5.80/5.99 RuleSystem INPUT:
% 5.80/5.99
% 5.80/5.99 Initial Rules:
% 5.80/5.99 #0: input, references = 7, size of lhs = 2:
% 5.80/5.99 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #1: input, references = 4, size of lhs = 3:
% 5.80/5.99 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #2: input, references = 4, size of lhs = 1:
% 5.80/5.99 P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #3: input, references = 3, size of lhs = 3:
% 5.80/5.99 P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #4: input, references = 7, size of lhs = 3:
% 5.80/5.99 pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #5: input, references = 4, size of lhs = 1:
% 5.80/5.99 pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #6: input, references = 6, size of lhs = 2:
% 5.80/5.99 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp11-{T}(V0,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #7: input, references = 6, size of lhs = 1:
% 5.80/5.99 pppp11-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #8: input, references = 5, size of lhs = 2:
% 5.80/5.99 pppp4-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #9: input, references = 8, size of lhs = 2:
% 5.80/5.99 pppp4-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #10: input, references = 5, size of lhs = 1:
% 5.80/5.99 P_unordered_pair-{F}(V0,V1,V3) | pppp2-{T}(V0,V1,V3)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #11: input, references = 3, size of lhs = 3:
% 5.80/5.99 P_unordered_pair-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2), V2 == V3 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #12: input, references = 4, size of lhs = 2:
% 5.80/5.99 pppp2-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #13: input, references = 5, size of lhs = 2:
% 5.80/5.99 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #14: input, references = 4, size of lhs = 3:
% 5.80/5.99 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp12-{T}(V0,V1,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #15: input, references = 3, size of lhs = 1:
% 5.80/5.99 pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V2,V3)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #16: input, references = 4, size of lhs = 3:
% 5.80/5.99 pppp5-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #17: input, references = 3, size of lhs = 1:
% 5.80/5.99 pppp5-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #18: input, references = 4, size of lhs = 3:
% 5.80/5.99 pppp1-{F}(V0,V1,V2), V2 == V0, V2 == V1 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #19: input, references = 4, size of lhs = 2:
% 5.80/5.99 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #20: input, references = 3, size of lhs = 2:
% 5.80/5.99 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #21: input, references = 3, size of lhs = 1:
% 5.80/5.99 subset-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #22: input, references = 4, size of lhs = 1:
% 5.80/5.99 pppp3-{F}(V0,V1) | subset-{T}(V0,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #23: input, references = 9, size of lhs = 2:
% 5.80/5.99 pppp3-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #24: input, references = 8, size of lhs = 2:
% 5.80/5.99 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp13-{T}(V0,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #25: input, references = 4, size of lhs = 1:
% 5.80/5.99 pppp13-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #26: input, references = 5, size of lhs = 2:
% 5.80/5.99 pppp6-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #27: input, references = 4, size of lhs = 1:
% 5.80/5.99 pppp6-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #28: input, references = 3, size of lhs = 0:
% 5.80/5.99 FALSE | EXISTS V0: pppp7-{T}(V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #29: input, references = 3, size of lhs = 1:
% 5.80/5.99 pppp7-{F}(V0) | empty-{T}(V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #30: input, references = 3, size of lhs = 0:
% 5.80/5.99 FALSE | EXISTS V0: pppp8-{T}(V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #31: input, references = 3, size of lhs = 2:
% 5.80/5.99 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #32: input, references = 3, size of lhs = 1:
% 5.80/5.99 #-{F} V0 | subset-{T}(V0,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #33: input, references = 4, size of lhs = 0:
% 5.80/5.99 FALSE | EXISTS V0: pppp10-{T}(V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #34: input, references = 4, size of lhs = 1:
% 5.80/5.99 pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #35: input, references = 4, size of lhs = 4:
% 5.80/5.99 pppp9-{F}(V0,V1), P_singleton-{F}(V0,V2), P_unordered_pair-{F}(V0,V1,V3), subset-{F}(V2,V3) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #36: input, references = 6, size of lhs = 2:
% 5.80/5.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #37: input, references = 4, size of lhs = 1:
% 5.80/5.99 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 number of initial rules = 38
% 5.80/5.99
% 5.80/5.99 Simplifiers:
% 5.80/5.99 #38: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #39: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #40: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #41: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #42: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #43: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #44: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #45: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #46: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #47: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #48: unsound, references = 3, size of lhs = 3:
% 5.80/5.99 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 number of simplifiers = 11
% 5.80/5.99
% 5.80/5.99 Learnt:
% 5.80/5.99 #51: disj( #6, #5+#0 ), references = 1, size of lhs = 1:
% 5.80/5.99 #-{F} V0 | pppp11-{T}(V0,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #57: disj( #14, input ), references = 1, size of lhs = 3:
% 5.80/5.99 P_unordered_pair-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp12-{T}(V0,V1,V3)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #59: disj( #6, input ), references = 2, size of lhs = 3:
% 5.80/5.99 P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp11-{T}(V0,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #77: exists( #36, #1 ), references = 1, size of lhs = 1:
% 5.80/5.99 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #81: exists( #7, #78 ), references = 1, size of lhs = 2:
% 5.80/5.99 pppp11-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp4-{T}(V0,V1,V0), pppp4-{T}(V0,V1,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #110: exists( #7, #108 ), references = 1, size of lhs = 2:
% 5.80/5.99 pppp11-{F}(V0,V1), pppp2-{F}(V2,V3,V1) | pppp4-{T}(V0,V1,V0), pppp4-{T}(V0,V1,V2), pppp4-{T}(V0,V1,V3)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #112: disj( #109, input, input ), references = 2, size of lhs = 3:
% 5.80/5.99 pppp11-{F}(V0,V1), in-{F}(V0,V1), pppp2-{F}(V0,V2,V1) | pppp4-{T}(V0,V1,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #121: exists( #36, #119 ), references = 1, size of lhs = 2:
% 5.80/5.99 pppp1-{F}(V0,V0,V0), P_singleton-{F}(V0,V1) | P_unordered_pair-{T}(V0,V0,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #142: disj( #24, #23+#0 ), references = 1, size of lhs = 1:
% 5.80/5.99 in-{F}(V0,V1) | pppp13-{T}(V1,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #143: disj( #24, #23+#8 ), references = 1, size of lhs = 2:
% 5.80/5.99 pppp4-{F}(V0,V1,V0), in-{F}(V0,V2) | pppp13-{T}(V2,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #151: disj( #6, input ), references = 1, size of lhs = 3:
% 5.80/5.99 in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp11-{T}(V2,V1)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #162: exists( #25, #160 ), references = 2, size of lhs = 2:
% 5.80/5.99 pppp0-{F}(V0,V1), pppp13-{F}(V1,V2) | pppp6-{T}(V1,V2,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #180: disj( #24, #23+#4 ), references = 1, size of lhs = 3:
% 5.80/5.99 in-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | pppp13-{T}(V1,V3)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #352: disj( #24, #23+#0 ), references = 1, size of lhs = 2:
% 5.80/5.99 in-{F}(V0,V1), in-{F}(V1,V2) | pppp13-{T}(V2,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #516: exists( #7, #513 ), references = 1, size of lhs = 3:
% 5.80/5.99 pppp11-{F}(V0,V1), pppp3-{F}(V1,V2), pppp0-{F}(V3,V2) | pppp4-{T}(V0,V1,V0), pppp4-{T}(V0,V1,V3)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #521: disj( #515, #9+#0 ), references = 1, size of lhs = 5:
% 5.80/5.99 pppp11-{F}(V0,V1), pppp3-{F}(V1,V2), in-{F}(V1,V3), V3 == V0, pppp0-{F}(V3,V2) | pppp4-{T}(V0,V1,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #522: disj( #515, #9+#26 ), references = 1, size of lhs = 5:
% 5.80/5.99 pppp11-{F}(V0,V1), pppp3-{F}(V1,V2), pppp0-{F}(V3,V2), V3 == V0, pppp6-{F}(V4,V1,V3) | pppp4-{T}(V0,V1,V0)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #614: disj( #24, #162+#26 ), references = 2, size of lhs = 2:
% 5.80/5.99 pppp0-{F}(V0,V1), in-{F}(V0,V2) | pppp3-{T}(V1,V2)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #659: disj( #24, #23+#16 ), references = 1, size of lhs = 3:
% 5.80/5.99 in-{F}(V0,V1), pppp1-{F}(V2,V3,V0), pppp5-{F}(V2,V3,V4,V0) | pppp13-{T}(V1,V4)
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #733: exists( #36, #731 ), references = 2, size of lhs = 4:
% 5.80/5.99 P_singleton-{F}(V0,V1), pppp9-{F}(V0,V2), pppp1-{F}(V0,V2,V3), pppp0-{F}(V3,V1) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #736: exists( #34, #734 ), references = 1, size of lhs = 3:
% 5.80/5.99 pppp10-{F}(V0), P_singleton-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #739: exists( #37, #737 ), references = 1, size of lhs = 1:
% 5.80/5.99 pppp10-{F}(V0) | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 #741: exists( #33, #738 ), references = 1, size of lhs = 0:
% 5.80/5.99 FALSE | FALSE
% 5.80/5.99 (used 0 times, uses = {})
% 5.80/5.99
% 5.80/5.99 number of learnt formulas = 23
% 5.80/5.99
% 5.80/5.99
% 5.80/5.99 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.80/5.99
% 5.80/5.99 randbase = 1
%------------------------------------------------------------------------------