%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT053+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:10:29 AM UTC 2026
% Result : Theorem 0.02s 0.42s
% Output : Refutation 0.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 7 13:23:26 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.42 GeoParameters:
% 0.02/0.42
% 0.02/0.42 tptp_input = 1
% 0.02/0.42 tptp_output = 0
% 0.02/0.42 nonempty = 1
% 0.02/0.42 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.42 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.02/0.42
% 0.02/0.42
% 0.02/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.42
% 0.02/0.42 RuleSystem INPUT:
% 0.02/0.42
% 0.02/0.42 Initial Rules:
% 0.02/0.42 #0: input, references = 3, size of lhs = 1:
% 0.02/0.42 smaller_or_equal-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #1: input, references = 3, size of lhs = 1:
% 0.02/0.42 pppp0-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #2: input, references = 3, size of lhs = 2:
% 0.02/0.42 pppp0-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #3: input, references = 3, size of lhs = 1:
% 0.02/0.42 smaller-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #4: input, references = 3, size of lhs = 1:
% 0.02/0.42 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #5: input, references = 3, size of lhs = 1:
% 0.02/0.42 greater_or_equal-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #6: input, references = 3, size of lhs = 1:
% 0.02/0.42 pppp1-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #7: input, references = 3, size of lhs = 2:
% 0.02/0.42 pppp1-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #8: input, references = 3, size of lhs = 1:
% 0.02/0.42 greater-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #9: input, references = 3, size of lhs = 1:
% 0.02/0.42 #-{F} V1 | pppp1-{T}(V1,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #10: input, references = 3, size of lhs = 1:
% 0.02/0.42 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #11: input, references = 3, size of lhs = 1:
% 0.02/0.42 greater-{F}(V1,V0) | smaller-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #12: input, references = 3, size of lhs = 2:
% 0.02/0.42 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #13: input, references = 3, size of lhs = 2:
% 0.02/0.42 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #14: input, references = 3, size of lhs = 3:
% 0.02/0.42 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #15: input, references = 5, size of lhs = 1:
% 0.02/0.42 dissimilar-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #16: input, references = 7, size of lhs = 1:
% 0.02/0.42 pppp2-{F}(V0,V1,V2) | dissimilar-{T}(V0,V1,V2)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #17: input, references = 5, size of lhs = 1:
% 0.02/0.42 pppp2-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #18: input, references = 5, size of lhs = 3:
% 0.02/0.42 #-{F} V2, organization-{F}(V0), is_aligned-{F}(V0,V1) | pppp2-{T}(V0,V1,V2), is_aligned-{T}(V0,V2)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #19: input, references = 5, size of lhs = 3:
% 0.02/0.42 #-{F} V1, organization-{F}(V0), is_aligned-{F}(V0,V2) | pppp2-{T}(V0,V1,V2), is_aligned-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #20: input, references = 4, size of lhs = 3:
% 0.02/0.42 pppp3-{F}(V0,V1,V2), is_aligned-{F}(V0,V2), is_aligned-{F}(V0,V1) | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #21: input, references = 5, size of lhs = 1:
% 0.02/0.42 pppp3-{F}(V0,V1,V2) | is_aligned-{T}(V0,V1), is_aligned-{T}(V0,V2)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #22: input, references = 5, size of lhs = 1:
% 0.02/0.42 pppp3-{F}(V0,V1,V2) | organization-{T}(V0)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #23: input, references = 4, size of lhs = 0:
% 0.02/0.42 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #24: input, references = 4, size of lhs = 1:
% 0.02/0.42 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #25: input, references = 4, size of lhs = 1:
% 0.02/0.42 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #26: input, references = 7, size of lhs = 3:
% 0.02/0.42 pppp4-{F}(V0,V1,V2), dissimilar-{F}(V0,V2,V1), dissimilar-{F}(V0,V1,V2) | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #27: input, references = 5, size of lhs = 1:
% 0.02/0.42 pppp4-{F}(V0,V1,V2) | dissimilar-{T}(V0,V1,V2), dissimilar-{T}(V0,V2,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 number of initial rules = 28
% 0.02/0.42
% 0.02/0.42 Simplifiers:
% 0.02/0.42 #28: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 dissimilar-{F}(V0,V1,V2), dissimilar-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #29: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #30: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 is_aligned-{F}(V0,V1), is_aligned-{F}(V2,V3), V0 == V2 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #31: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #32: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #33: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #34: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #35: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #36: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #37: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #38: unsound, references = 3, size of lhs = 3:
% 0.02/0.42 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 number of simplifiers = 11
% 0.02/0.42
% 0.02/0.42 Learnt:
% 0.02/0.42 #40: disj( #27, input ), references = 1, size of lhs = 1:
% 0.02/0.42 pppp4-{F}(V0,V1,V1) | dissimilar-{T}(V0,V1,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #43: disj( #19, input ), references = 1, size of lhs = 4:
% 0.02/0.42 organization-{F}(V0), is_aligned-{F}(V0,V1), is_aligned-{F}(V0,V2), pppp3-{F}(V0,V3,V2) | pppp2-{T}(V0,V3,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #46: disj( #18, #16+#26 ), references = 1, size of lhs = 4:
% 0.02/0.42 organization-{F}(V0), is_aligned-{F}(V0,V1), pppp4-{F}(V0,V2,V1), dissimilar-{F}(V0,V2,V1) | is_aligned-{T}(V0,V2)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #49: disj( #21, #45+#20 ), references = 1, size of lhs = 5:
% 0.02/0.42 organization-{F}(V0), pppp3-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), dissimilar-{F}(V0,V3,V2), pppp3-{F}(V0,V3,V2) | is_aligned-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #51: disj( #19, input ), references = 2, size of lhs = 4:
% 0.02/0.42 organization-{F}(V0), is_aligned-{F}(V0,V1), is_aligned-{F}(V0,V2), pppp3-{F}(V0,V2,V3) | pppp2-{T}(V0,V3,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #59: disj( #27, #15+#17+#22+#48+#50+#16+#26 ), references = 1, size of lhs = 1:
% 0.02/0.42 pppp4-{F}(V0,V1,V2) | dissimilar-{T}(V0,V2,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #61: disj( #18, input ), references = 1, size of lhs = 4:
% 0.02/0.42 organization-{F}(V0), is_aligned-{F}(V0,V1), is_aligned-{F}(V0,V2), pppp3-{F}(V0,V3,V2) | pppp2-{T}(V0,V1,V3)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #65: disj( #21, #60+#16+#26 ), references = 1, size of lhs = 5:
% 0.02/0.42 organization-{F}(V0), pppp3-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3), pppp3-{F}(V0,V3,V2), dissimilar-{F}(V0,V3,V2) | is_aligned-{T}(V0,V1)
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #74: exists( #25, #72 ), references = 1, size of lhs = 1:
% 0.02/0.42 pppp5-{F}(V0,V1) | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #76: exists( #24, #73 ), references = 1, size of lhs = 1:
% 0.02/0.42 pppp6-{F}(V0) | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 #78: exists( #23, #75 ), references = 1, size of lhs = 0:
% 0.02/0.42 FALSE | FALSE
% 0.02/0.42 (used 0 times, uses = {})
% 0.02/0.42
% 0.02/0.42 number of learnt formulas = 11
% 0.02/0.42
% 0.02/0.42
% 0.02/0.42 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.42
% 0.02/0.42 randbase = 1
%------------------------------------------------------------------------------