%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU146+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:17:18 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU146+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 18:45:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.52 GeoParameters:
% 0.18/0.52
% 0.18/0.52 tptp_input = 1
% 0.18/0.52 tptp_output = 0
% 0.18/0.52 nonempty = 1
% 0.18/0.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 RuleSystem INPUT:
% 0.18/0.52
% 0.18/0.52 Initial Rules:
% 0.18/0.52 #0: input, references = 4, size of lhs = 2:
% 0.18/0.52 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #1: input, references = 4, size of lhs = 1:
% 0.18/0.52 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #2: input, references = 4, size of lhs = 2:
% 0.18/0.52 pppp0-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #3: input, references = 4, size of lhs = 1:
% 0.18/0.52 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #4: input, references = 3, size of lhs = 1:
% 0.18/0.52 pppp0-{F}(V0,V1) | subset-{T}(V1,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #5: input, references = 4, size of lhs = 2:
% 0.18/0.52 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #6: input, references = 3, size of lhs = 1:
% 0.18/0.52 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #7: input, references = 3, size of lhs = 3:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V1,V3), subset-{F}(V3,V2) | in-{T}(V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #8: input, references = 5, size of lhs = 3:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V1,V3), in-{F}(V1,V2) | subset-{T}(V3,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #9: input, references = 5, size of lhs = 4:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), P_set_difference-{F}(V4,V3,V5), subset-{F}(V1,V4) | in-{T}(V2,V1), subset-{T}(V1,V5)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #10: input, references = 4, size of lhs = 1:
% 0.18/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #11: input, references = 5, size of lhs = 1:
% 0.18/0.52 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #12: input, references = 5, size of lhs = 4:
% 0.18/0.52 pppp2-{F}(V0,V1), P_singleton-{F}(V1,V2), pppp1-{F}(V0,V1), subset-{F}(V0,V2) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #13: input, references = 4, size of lhs = 2:
% 0.18/0.52 pppp2-{F}(V0,V1), P_singleton-{F}(V1,V2) | subset-{T}(V0,V2), pppp1-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #14: input, references = 3, size of lhs = 5:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), pppp1-{F}(V1,V2), V1 == V0, V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #15: input, references = 4, size of lhs = 2:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | pppp1-{T}(V0,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #16: input, references = 4, size of lhs = 2:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | pppp1-{T}(V3,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #17: input, references = 3, size of lhs = 1:
% 0.18/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #18: input, references = 3, size of lhs = 1:
% 0.18/0.52 pppp4-{F}(V0) | empty-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #19: input, references = 3, size of lhs = 1:
% 0.18/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #20: input, references = 3, size of lhs = 2:
% 0.18/0.52 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #21: input, references = 4, size of lhs = 2:
% 0.18/0.52 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #22: input, references = 4, size of lhs = 2:
% 0.18/0.52 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #23: input, references = 3, size of lhs = 2:
% 0.18/0.52 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0) | subset-{T}(V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #24: input, references = 5, size of lhs = 4:
% 0.18/0.52 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V0 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #25: input, references = 3, size of lhs = 3:
% 0.18/0.52 P_empty_set-{F}(V0), subset-{F}(V1,V0), V1 == V0 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #26: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #27: input, references = 5, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #28: input, references = 5, size of lhs = 2:
% 0.18/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of initial rules = 29
% 0.18/0.52
% 0.18/0.52 Simplifiers:
% 0.18/0.52 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of simplifiers = 8
% 0.18/0.52
% 0.18/0.52 Learnt:
% 0.18/0.52 #38: exists( #28, #24 ), references = 2, size of lhs = 2:
% 0.18/0.52 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_difference-{T}(V1,V2,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #44: mergings( V0 == V4; #41 ), references = 2, size of lhs = 5:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_set_difference-{F}(V3,V2,V0), subset-{F}(V4,V3), V4 == V0 | in-{T}(V1,V4)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #46: mergings( V0 == V6; #42 ), references = 2, size of lhs = 6:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), subset-{F}(V3,V4), P_set_difference-{F}(V4,V2,V5), P_set_difference-{F}(V3,V5,V6), V6 == V0 | in-{T}(V1,V3)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #50: mergings( V2 == V4; #48 ), references = 2, size of lhs = 5:
% 0.18/0.52 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V0, P_singleton-{F}(V2,V3), V1 == V3 | subset-{T}(V1,V3)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #68: mergings( V2 == V3, V3 == V4; #65 ), references = 1, size of lhs = 3:
% 0.18/0.52 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V0 | P_singleton-{T}(V2,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #75: mergings( V2 == V3, V3 == V4, V4 == V5; #71 ), references = 2, size of lhs = 4:
% 0.18/0.52 pppp3-{F}(V0), subset-{F}(V0,V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #98: mergings( V3 == V4, V4 == V5, V5 == V6, V8 == V9; #92 ), references = 1, size of lhs = 6:
% 0.18/0.52 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), subset-{F}(V3,V4), P_set_difference-{F}(V4,V2,V5), P_set_difference-{F}(V2,V3,V6), V6 == V0 | P_set_difference-{T}(V3,V5,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #99: exists( #28, #89 ), references = 1, size of lhs = 5:
% 0.18/0.52 P_empty_set-{F}(V0), subset-{F}(V1,V2), in-{F}(V1,V3), P_singleton-{F}(V3,V4), P_set_difference-{F}(V2,V4,V5) | P_set_difference-{T}(V1,V5,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #107: exists( #27, #105 ), references = 1, size of lhs = 2:
% 0.18/0.52 P_empty_set-{F}(V0), pppp2-{F}(V0,V1) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #109: exists( #11, #106 ), references = 2, size of lhs = 2:
% 0.18/0.52 pppp3-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #114: mergings( V0 == V2, V2 == V3; #111 ), references = 1, size of lhs = 1:
% 0.18/0.52 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #117: exists( #26, #115 ), references = 1, size of lhs = 0:
% 0.18/0.52 FALSE | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of learnt formulas = 12
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 randbase = 1
%------------------------------------------------------------------------------