%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT012+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:10:18 AM UTC 2026
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 7 11:54:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.40 GeoParameters:
% 0.15/0.40
% 0.15/0.40 tptp_input = 1
% 0.15/0.40 tptp_output = 0
% 0.15/0.40 nonempty = 1
% 0.15/0.40 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40
% 0.15/0.40 RuleSystem INPUT:
% 0.15/0.40
% 0.15/0.40 Initial Rules:
% 0.15/0.40 #0: input, references = 5, size of lhs = 1:
% 0.15/0.40 organization-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #1: input, references = 5, size of lhs = 1:
% 0.15/0.40 pppp0-{F}(V0,V1,V2) | inertia-{T}(V0,V2,V1)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #2: input, references = 3, size of lhs = 1:
% 0.15/0.40 greater-{F}(V1,V1) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #3: input, references = 4, size of lhs = 2:
% 0.15/0.40 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #4: input, references = 5, size of lhs = 1:
% 0.15/0.40 organization-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #5: input, references = 6, size of lhs = 1:
% 0.15/0.40 pppp1-{F}(V0,V1,V2) | class-{T}(V0,V2,V1)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #6: input, references = 4, size of lhs = 6:
% 0.15/0.40 organization-{F}(V0,V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), class-{F}(V0,V3,V1), class-{F}(V0,V4,V2), V4 == V3 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #7: input, references = 4, size of lhs = 9:
% 0.15/0.40 organization-{F}(V0,V1), organization-{F}(V3,V2), class-{F}(V3,V4,V2), class-{F}(V0,V4,V1), complexity-{F}(V0,V5,V1), complexity-{F}(V3,V6,V2), greater-{F}(V5,V6), inertia-{F}(V0,V7,V1), inertia-{F}(V3,V8,V2) | greater-{T}(V7,V8)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #8: input, references = 4, size of lhs = 6:
% 0.15/0.40 greater-{F}(V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), inertia-{F}(V2,V3,V1), inertia-{F}(V2,V4,V0) | greater-{T}(V3,V4)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #9: input, references = 4, size of lhs = 0:
% 0.15/0.40 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #10: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #11: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #12: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp5-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #13: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V1,V2,V3)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #14: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp4-{F}(V0,V1,V2) | reorganization_free-{T}(V0,V1,V2)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #15: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp4-{F}(V0,V1,V2) | organization-{T}(V0,V2)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #16: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp4-{F}(V0,V1,V2) | organization-{T}(V0,V1)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #17: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp3-{F}(V0,V1,V2,V3) | EXISTS V4: pppp2-{T}(V0,V1,V4,V3)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #18: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp3-{F}(V0,V1,V2,V3) | complexity-{T}(V0,V3,V2)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #19: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp2-{F}(V0,V1,V2,V3) | greater-{T}(V2,V3)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #20: input, references = 4, size of lhs = 1:
% 0.15/0.40 pppp2-{F}(V0,V1,V2,V3) | complexity-{T}(V0,V2,V1)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 number of initial rules = 21
% 0.15/0.40
% 0.15/0.40 Simplifiers:
% 0.15/0.40 #21: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 inertia-{F}(V0,V1,V2), inertia-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #22: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 class-{F}(V0,V1,V2), class-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #23: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #24: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #25: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #26: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #27: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #28: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #29: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #30: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #31: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #32: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #33: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #34: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #35: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #36: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #37: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #38: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #39: unsound, references = 3, size of lhs = 3:
% 0.15/0.40 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 number of simplifiers = 19
% 0.15/0.40
% 0.15/0.40 Learnt:
% 0.15/0.40 #48: exists( #4, #46 ), references = 1, size of lhs = 4:
% 0.15/0.40 organization-{F}(V0,V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), class-{F}(V0,V3,V1) | pppp1-{T}(V0,V2,V3)
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #53: exists( #17, #51 ), references = 1, size of lhs = 9:
% 0.15/0.40 organization-{F}(V0,V1), class-{F}(V0,V2,V1), inertia-{F}(V0,V3,V1), greater-{F}(V4,V3), pppp3-{F}(V0,V1,V5,V6), organization-{F}(V7,V8), class-{F}(V7,V2,V8), inertia-{F}(V7,V4,V8), complexity-{F}(V7,V6,V8) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #56: exists( #13, #54 ), references = 1, size of lhs = 8:
% 0.15/0.40 organization-{F}(V0,V1), pppp4-{F}(V0,V1,V2), organization-{F}(V0,V2), class-{F}(V0,V3,V1), class-{F}(V0,V3,V2), inertia-{F}(V0,V4,V2), greater-{F}(V4,V5), inertia-{F}(V0,V5,V1) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #61: exists( #4, #59 ), references = 2, size of lhs = 7:
% 0.15/0.40 organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V2), organization-{F}(V0,V2), inertia-{F}(V0,V3,V2), greater-{F}(V3,V4), inertia-{F}(V0,V4,V1) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #67: mergings( V3 == V5; #65 ), references = 1, size of lhs = 6:
% 0.15/0.40 organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V2), greater-{F}(V2,V1), pppp4-{F}(V0,V1,V2), organization-{F}(V0,V2), inertia-{F}(V0,V3,V2) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #70: exists( #0, #68 ), references = 1, size of lhs = 5:
% 0.15/0.40 organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V2), greater-{F}(V2,V1), pppp4-{F}(V0,V1,V2), organization-{F}(V0,V2) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #75: exists( #11, #73 ), references = 1, size of lhs = 2:
% 0.15/0.40 pppp5-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #78: exists( #10, #76 ), references = 1, size of lhs = 1:
% 0.15/0.40 pppp6-{F}(V0) | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 #80: exists( #9, #77 ), references = 1, size of lhs = 0:
% 0.15/0.40 FALSE | FALSE
% 0.15/0.40 (used 0 times, uses = {})
% 0.15/0.40
% 0.15/0.40 number of learnt formulas = 9
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40
% 0.15/0.40 randbase = 1
%------------------------------------------------------------------------------