%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT014-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:10:19 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT014-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 11:48:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.41 GeoParameters:
% 0.14/0.41
% 0.14/0.41 tptp_input = 1
% 0.14/0.41 tptp_output = 0
% 0.14/0.41 nonempty = 1
% 0.14/0.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.14/0.41
% 0.14/0.41
% 0.14/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 RuleSystem INPUT:
% 0.14/0.41
% 0.14/0.41 Initial Rules:
% 0.14/0.41 #0: input, references = 4, size of lhs = 1:
% 0.14/0.41 greater-{F}(V1,V1) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #1: input, references = 3, size of lhs = 2:
% 0.14/0.41 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #2: input, references = 5, size of lhs = 1:
% 0.14/0.41 organization-{F}(V1,V0) | time-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #3: input, references = 4, size of lhs = 3:
% 0.14/0.41 time-{F}(V0), time-{F}(V1), V1 == V0 | greater-{T}(V1,V0), greater-{T}(V0,V1)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #4: input, references = 4, size of lhs = 1:
% 0.14/0.41 reorganization_free-{F}(V0,V1,V2) | reorganization_free-{T}(V0,V2,V1)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #5: input, references = 4, size of lhs = 4:
% 0.14/0.41 organization-{F}(V2,V1), size-{F}(V2,V3,V1), size-{F}(V2,V4,V1), V4 == V3 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #6: input, references = 3, size of lhs = 7:
% 0.14/0.41 greater-{F}(V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), size-{F}(V2,V3,V1), size-{F}(V2,V4,V0), greater-{F}(V4,V3) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #7: input, references = 4, size of lhs = 7:
% 0.14/0.41 greater-{F}(V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), complexity-{F}(V2,V3,V1), complexity-{F}(V2,V4,V0), greater-{F}(V4,V3) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #8: input, references = 4, size of lhs = 2:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1) | organization-{T}(V0,V1)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #9: input, references = 4, size of lhs = 3:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2) | organization-{T}(V0,V2)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #10: input, references = 4, size of lhs = 3:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2) | reorganization_free-{T}(V0,V1,V2)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #11: input, references = 4, size of lhs = 4:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3) | complexity-{T}(V0,V3,V1)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #12: input, references = 4, size of lhs = 5:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4) | complexity-{T}(V0,V4,V2)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #13: input, references = 5, size of lhs = 6:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5) | size-{T}(V0,V5,V1)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #14: input, references = 5, size of lhs = 7:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5), P_sk5-{F}(V6) | size-{T}(V0,V6,V2)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #15: input, references = 5, size of lhs = 7:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5), P_sk5-{F}(V6) | greater-{T}(V6,V5)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #16: input, references = 4, size of lhs = 7:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5), P_sk5-{F}(V6) | greater-{T}(V3,V4)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #17: input, references = 4, size of lhs = 0:
% 0.14/0.41 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #18: input, references = 4, size of lhs = 0:
% 0.14/0.41 FALSE | EXISTS V0: P_sk6-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #19: input, references = 4, size of lhs = 0:
% 0.14/0.41 FALSE | EXISTS V0: P_sk7-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #20: input, references = 5, size of lhs = 0:
% 0.14/0.41 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #21: input, references = 5, size of lhs = 0:
% 0.14/0.41 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #22: input, references = 5, size of lhs = 0:
% 0.14/0.41 FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #23: input, references = 5, size of lhs = 0:
% 0.14/0.41 FALSE | EXISTS V0: P_sk5-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 number of initial rules = 24
% 0.14/0.41
% 0.14/0.41 Simplifiers:
% 0.14/0.41 #24: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 organization-{F}(V0,V1), organization-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #25: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #26: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 size-{F}(V0,V1,V2), size-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #27: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 complexity-{F}(V0,V1,V2), complexity-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #28: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #29: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 P_sk6-{F}(V0), P_sk6-{F}(V1), V0 == V1 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #30: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 P_sk7-{F}(V0), P_sk7-{F}(V1), V0 == V1 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #31: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #32: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #33: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #34: unsound, references = 3, size of lhs = 3:
% 0.14/0.41 P_sk5-{F}(V0), P_sk5-{F}(V1), V0 == V1 | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 number of simplifiers = 11
% 0.14/0.41
% 0.14/0.41 Learnt:
% 0.14/0.41 #37: exists( #23, #35 ), references = 1, size of lhs = 8:
% 0.14/0.41 P_sk1-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), organization-{F}(V0,V2), P_sk2-{F}(V3), P_sk3-{F}(V4), P_sk4-{F}(V5), size-{F}(V0,V6,V2) | P_sk5-{T}(V6)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #58: mergings( V5 == V9, V1 == V6, V6 == V10, V10 == V2, V2 == V11, V3 == V7, V7 == V12, V4 == V8, V8 == V13; #47 ), references = 1, size of lhs = 6:
% 0.14/0.41 P_sk1-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1), P_sk7-{F}(V1), P_sk2-{F}(V2), P_sk3-{F}(V3) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #68: mergings( V4 == V7, V1 == V5, V5 == V8, V8 == V2, V2 == V9, V3 == V6, V6 == V10; #59 ), references = 1, size of lhs = 5:
% 0.14/0.41 P_sk1-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1), P_sk7-{F}(V1), P_sk2-{F}(V2) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #76: mergings( V3 == V5, V1 == V4, V4 == V6, V6 == V2, V2 == V7; #69 ), references = 2, size of lhs = 4:
% 0.14/0.41 P_sk1-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1), P_sk7-{F}(V1) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #78: disj( #3, input ), references = 1, size of lhs = 9:
% 0.14/0.41 time-{F}(V0), time-{F}(V1), V1 == V0, organization-{F}(V2,V1), organization-{F}(V2,V0), reorganization_free-{F}(V2,V1,V0), size-{F}(V2,V3,V1), greater-{F}(V3,V4), size-{F}(V2,V4,V0) | greater-{T}(V1,V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #97: mergings( V1 == V20, V20 == V7, V7 == V13, V2 == V8, V8 == V14, V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V11 == V17, V6 == V12, V12 == V18; #83 ), references = 1, size of lhs = 16:
% 0.14/0.41 time-{F}(V0), P_sk7-{F}(V0), P_sk1-{F}(V1), organization-{F}(V1,V0), P_sk6-{F}(V2), P_sk2-{F}(V3), P_sk3-{F}(V4), complexity-{F}(V1,V4,V0), P_sk4-{F}(V5), time-{F}(V6), V0 == V6, reorganization_free-{F}(V1,V0,V6), size-{F}(V1,V5,V6), organization-{F}(V1,V6), reorganization_free-{F}(V1,V6,V0), complexity-{F}(V1,V3,V6) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #115: mergings( V5 == V20, V20 == V10, V10 == V15, V1 == V6, V6 == V11, V11 == V16, V2 == V7, V7 == V12, V12 == V17, V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19; #99 ), references = 1, size of lhs = 14:
% 0.14/0.41 time-{F}(V0), P_sk6-{F}(V0), time-{F}(V1), V1 == V0, P_sk7-{F}(V1), P_sk1-{F}(V2), reorganization_free-{F}(V2,V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), P_sk2-{F}(V3), complexity-{F}(V2,V3,V0), P_sk3-{F}(V4), complexity-{F}(V2,V4,V1) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #132: mergings( V1 == V7, V7 == V11, V11 == V15, V2 == V4, V4 == V8, V8 == V12, V12 == V16, V5 == V9, V9 == V13, V13 == V17, V3 == V6, V6 == V10, V10 == V14, V14 == V18; #117 ), references = 1, size of lhs = 12:
% 0.14/0.41 time-{F}(V0), P_sk6-{F}(V0), time-{F}(V1), V1 == V0, P_sk7-{F}(V1), P_sk1-{F}(V2), organization-{F}(V2,V0), reorganization_free-{F}(V2,V1,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), P_sk2-{F}(V3), complexity-{F}(V2,V3,V0) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #146: mergings( V2 == V6, V6 == V9, V9 == V12, V3 == V4, V4 == V7, V7 == V10, V10 == V13, V1 == V5, V5 == V8, V8 == V11, V11 == V14; #134 ), references = 1, size of lhs = 10:
% 0.14/0.41 time-{F}(V0), P_sk6-{F}(V0), time-{F}(V1), V1 == V0, P_sk7-{F}(V1), P_sk1-{F}(V2), organization-{F}(V2,V0), reorganization_free-{F}(V2,V1,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #159: mergings( V4 == V6, V6 == V8, V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9; #151 ), references = 1, size of lhs = 4:
% 0.14/0.41 time-{F}(V0), P_sk6-{F}(V0), P_sk1-{F}(V1), organization-{F}(V1,V0) | P_sk7-{T}(V0)
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #166: mergings( V1 == V2, V2 == V3; #163 ), references = 1, size of lhs = 1:
% 0.14/0.41 P_sk1-{F}(V0) | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 #168: exists( #17, #163 ), references = 1, size of lhs = 0:
% 0.14/0.41 FALSE | FALSE
% 0.14/0.41 (used 0 times, uses = {})
% 0.14/0.41
% 0.14/0.41 number of learnt formulas = 12
% 0.14/0.41
% 0.14/0.41
% 0.14/0.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 randbase = 1
%------------------------------------------------------------------------------