%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET146+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:15:54 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET146+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jul 23 01:54:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.54 GeoParameters:
% 0.21/0.54
% 0.21/0.54 tptp_input = 1
% 0.21/0.54 tptp_output = 0
% 0.21/0.54 nonempty = 1
% 0.21/0.54 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54
% 0.21/0.54 RuleSystem INPUT:
% 0.21/0.54
% 0.21/0.54 Initial Rules:
% 0.21/0.54 #0: input, references = 5, size of lhs = 2:
% 0.21/0.54 P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #1: input, references = 5, size of lhs = 2:
% 0.21/0.54 P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #2: input, references = 5, size of lhs = 1:
% 0.21/0.54 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #3: input, references = 3, size of lhs = 1:
% 0.21/0.54 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #4: input, references = 5, size of lhs = 2:
% 0.21/0.54 member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #5: input, references = 5, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #6: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #7: input, references = 3, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #8: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #9: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | subset-{T}(V2,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #10: input, references = 3, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #11: input, references = 4, size of lhs = 4:
% 0.21/0.54 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3), P_intersection-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #12: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #13: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #14: input, references = 6, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #15: input, references = 4, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp9-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #16: input, references = 3, size of lhs = 1:
% 0.21/0.54 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #17: input, references = 3, size of lhs = 2:
% 0.21/0.54 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #18: input, references = 3, size of lhs = 1:
% 0.21/0.54 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #19: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #20: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #21: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), pppp3-{F}(V1) | empty-{T}(V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #22: input, references = 6, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp3-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #23: input, references = 5, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp10-{T}(V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #24: input, references = 4, size of lhs = 1:
% 0.21/0.54 pppp10-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #25: input, references = 4, size of lhs = 1:
% 0.21/0.54 pppp6-{F}(V0,V1) | member-{T}(V1,V0)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #26: input, references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), #-{F} V2 | pppp4-{T}(V2,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #27: input, references = 3, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), V1 == V2 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #28: input, references = 3, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #29: input, references = 3, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #30: input, references = 4, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp4-{T}(V1,V2), pppp11-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #31: input, references = 5, size of lhs = 1:
% 0.21/0.54 pppp11-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V0,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #32: input, references = 6, size of lhs = 3:
% 0.21/0.54 pppp7-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #33: input, references = 5, size of lhs = 1:
% 0.21/0.54 pppp7-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #34: input, references = 4, size of lhs = 1:
% 0.21/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #35: input, references = 4, size of lhs = 2:
% 0.21/0.54 pppp8-{F}(V0,V1), P_intersection-{F}(V1,V0,V0) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #36: input, references = 5, size of lhs = 2:
% 0.21/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #37: input, references = 4, size of lhs = 0:
% 0.21/0.54 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 number of initial rules = 38
% 0.21/0.54
% 0.21/0.54 Simplifiers:
% 0.21/0.54 #38: unsound, references = 3, size of lhs = 3:
% 0.21/0.54 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #39: unsound, references = 3, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #40: unsound, references = 3, size of lhs = 3:
% 0.21/0.54 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #41: unsound, references = 3, size of lhs = 3:
% 0.21/0.54 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #42: unsound, references = 3, size of lhs = 3:
% 0.21/0.54 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #43: unsound, references = 3, size of lhs = 3:
% 0.21/0.54 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #44: unsound, references = 3, size of lhs = 3:
% 0.21/0.54 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 number of simplifiers = 7
% 0.21/0.54
% 0.21/0.54 Learnt:
% 0.21/0.54 #47: mergings( V0 == V3; #45 ), references = 3, size of lhs = 4:
% 0.21/0.54 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp11-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #50: disj( #33, input ), references = 5, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), pppp7-{F}(V1,V0,V2) | member-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #51: disj( #33, input ), references = 1, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp7-{F}(V2,V1,V3) | member-{T}(V2,V3)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #54: disj( #33, input ), references = 1, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), pppp7-{F}(V1,V2,V0) | member-{T}(V1,V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #55: disj( #33, input ), references = 1, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp3-{F}(V1), pppp7-{F}(V2,V3,V1) | member-{T}(V2,V3)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #61: exists( #36, #11 ), references = 3, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3) | P_intersection-{T}(V2,V1,V3)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #70: mergings( V0 == V3, V3 == V2; #65 ), references = 1, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp9-{T}(V2,V0)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #72: mergings( V0 == V3; #66 ), references = 1, size of lhs = 4:
% 0.21/0.54 P_empty_set-{F}(V0), member-{F}(V1,V2), member-{F}(V1,V3), pppp7-{F}(V1,V4,V3) | pppp9-{T}(V2,V4)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #75: mergings( V0 == V3, V3 == V4; #67 ), references = 1, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp3-{F}(V1), member-{F}(V2,V3) | pppp9-{T}(V3,V1)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #78: mergings( V0 == V2; #76 ), references = 1, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp10-{T}(V2)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #86: exists( #24, #83 ), references = 1, size of lhs = 2:
% 0.21/0.54 pppp10-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #89: mergings( V0 == V1; #87 ), references = 1, size of lhs = 1:
% 0.21/0.54 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #102: exists( #31, #98 ), references = 1, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp11-{F}(V0,V1), P_intersection-{F}(V1,V1,V0) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #105: mergings( V0 == V3; #101 ), references = 1, size of lhs = 4:
% 0.21/0.54 P_empty_set-{F}(V0), pppp11-{F}(V0,V1), pppp3-{F}(V2), P_intersection-{F}(V1,V1,V2) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #157: exists( #31, #153 ), references = 1, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp11-{F}(V0,V1), P_intersection-{F}(V0,V2,V1) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #160: mergings( V0 == V3; #156 ), references = 1, size of lhs = 4:
% 0.21/0.54 P_empty_set-{F}(V0), pppp11-{F}(V0,V1), pppp3-{F}(V2), P_intersection-{F}(V2,V3,V1) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #172: mergings( V3 == V4, V4 == V1; #167 ), references = 2, size of lhs = 2:
% 0.21/0.54 P_empty_set-{F}(V0), #-{F} V1 | P_intersection-{T}(V1,V0,V0)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #179: mergings( V3 == V4, V4 == V5, V5 == V6; #169 ), references = 1, size of lhs = 3:
% 0.21/0.54 P_empty_set-{F}(V0), pppp3-{F}(V1), #-{F} V2 | P_intersection-{T}(V2,V1,V0)
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #182: exists( #34, #180 ), references = 1, size of lhs = 1:
% 0.21/0.54 P_empty_set-{F}(V0) | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 #184: exists( #37, #181 ), references = 1, size of lhs = 0:
% 0.21/0.54 FALSE | FALSE
% 0.21/0.54 (used 0 times, uses = {})
% 0.21/0.54
% 0.21/0.54 number of learnt formulas = 20
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54
% 0.21/0.54 randbase = 1
%------------------------------------------------------------------------------