%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 0.03s 0.30s
% Output : Refutation 0.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 7 13:21:12 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 GeoParameters:
% 0.03/0.30
% 0.03/0.30 tptp_input = 1
% 0.03/0.30 tptp_output = 0
% 0.03/0.30 nonempty = 1
% 0.03/0.30 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.03/0.30
% 0.03/0.30
% 0.03/0.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30
% 0.03/0.30 RuleSystem INPUT:
% 0.03/0.30
% 0.03/0.30 Initial Rules:
% 0.03/0.30 #0: input, references = 3, size of lhs = 1:
% 0.03/0.30 smaller_or_equal-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #1: input, references = 3, size of lhs = 1:
% 0.03/0.30 pppp0-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #2: input, references = 3, size of lhs = 2:
% 0.03/0.30 pppp0-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #3: input, references = 3, size of lhs = 1:
% 0.03/0.30 smaller-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #4: input, references = 3, size of lhs = 1:
% 0.03/0.30 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #5: input, references = 3, size of lhs = 1:
% 0.03/0.30 greater_or_equal-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #6: input, references = 3, size of lhs = 1:
% 0.03/0.30 pppp1-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #7: input, references = 3, size of lhs = 2:
% 0.03/0.30 pppp1-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #8: input, references = 3, size of lhs = 1:
% 0.03/0.30 greater-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #9: input, references = 3, size of lhs = 1:
% 0.03/0.30 #-{F} V1 | pppp1-{T}(V1,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #10: input, references = 3, size of lhs = 1:
% 0.03/0.30 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #11: input, references = 3, size of lhs = 1:
% 0.03/0.30 greater-{F}(V1,V0) | smaller-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #12: input, references = 3, size of lhs = 2:
% 0.03/0.30 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #13: input, references = 3, size of lhs = 2:
% 0.03/0.30 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #14: input, references = 3, size of lhs = 3:
% 0.03/0.30 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #15: input, references = 4, size of lhs = 1:
% 0.03/0.30 dissimilar-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #16: input, references = 3, size of lhs = 1:
% 0.03/0.30 pppp2-{F}(V0,V1,V2) | dissimilar-{T}(V0,V1,V2)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #17: input, references = 4, size of lhs = 1:
% 0.03/0.30 pppp2-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #18: input, references = 3, size of lhs = 3:
% 0.03/0.30 #-{F} V2, organization-{F}(V0), is_aligned-{F}(V0,V1) | pppp2-{T}(V0,V1,V2), is_aligned-{T}(V0,V2)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #19: input, references = 3, size of lhs = 3:
% 0.03/0.30 #-{F} V1, organization-{F}(V0), is_aligned-{F}(V0,V2) | pppp2-{T}(V0,V1,V2), is_aligned-{T}(V0,V1)
% 0.03/0.30 (used 0 times, uses = {})
% 0.03/0.30
% 0.03/0.30 #20: input, references = 4, size of lhs = 3:
% 0.03/0.30 pppp3-{F}(V0,V1,V2), is_aligned-{F}(V0,V2), is_aligned-{F}(V0,V1) | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #21: input, references = 4, size of lhs = 1:
% 0.03/0.31 pppp3-{F}(V0,V1,V2) | is_aligned-{T}(V0,V1), is_aligned-{T}(V0,V2)
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #22: input, references = 3, size of lhs = 1:
% 0.03/0.31 pppp3-{F}(V0,V1,V2) | organization-{T}(V0)
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #23: input, references = 4, size of lhs = 0:
% 0.03/0.31 FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #24: input, references = 4, size of lhs = 1:
% 0.03/0.31 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #25: input, references = 4, size of lhs = 1:
% 0.03/0.31 pppp4-{F}(V0,V1) | dissimilar-{T}(V0,V1,V1)
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 number of initial rules = 26
% 0.03/0.31
% 0.03/0.31 Simplifiers:
% 0.03/0.31 #26: unsound, references = 3, size of lhs = 3:
% 0.03/0.31 dissimilar-{F}(V0,V1,V2), dissimilar-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #27: unsound, references = 3, size of lhs = 3:
% 0.03/0.31 organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #28: unsound, references = 3, size of lhs = 3:
% 0.03/0.31 is_aligned-{F}(V0,V1), is_aligned-{F}(V2,V3), V0 == V2 | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #29: unsound, references = 3, size of lhs = 3:
% 0.03/0.31 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #30: unsound, references = 3, size of lhs = 3:
% 0.03/0.31 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #31: unsound, references = 3, size of lhs = 3:
% 0.03/0.31 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #32: unsound, references = 3, size of lhs = 3:
% 0.03/0.31 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #33: unsound, references = 3, size of lhs = 3:
% 0.03/0.31 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 number of simplifiers = 8
% 0.03/0.31
% 0.03/0.31 Learnt:
% 0.03/0.31 #35: disj( #21, input ), references = 1, size of lhs = 2:
% 0.03/0.31 pppp3-{F}(V0,V1,V1), pppp3-{F}(V0,V1,V2) | is_aligned-{T}(V0,V2)
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #41: exists( #24, #39 ), references = 1, size of lhs = 1:
% 0.03/0.31 pppp5-{F}(V0) | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 #43: exists( #23, #40 ), references = 1, size of lhs = 0:
% 0.03/0.31 FALSE | FALSE
% 0.03/0.31 (used 0 times, uses = {})
% 0.03/0.31
% 0.03/0.31 number of learnt formulas = 3
% 0.03/0.31
% 0.03/0.31
% 0.03/0.31 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.31
% 0.03/0.31 randbase = 1
%------------------------------------------------------------------------------