%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT048-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:10:28 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.49s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT048-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.34 % Computer : n028.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 7 13:17:17 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.23/0.49 GeoParameters:
% 0.23/0.49
% 0.23/0.49 tptp_input = 1
% 0.23/0.49 tptp_output = 0
% 0.23/0.49 nonempty = 1
% 0.23/0.49 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.49 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.49
% 0.23/0.49 RuleSystem INPUT:
% 0.23/0.49
% 0.23/0.49 Initial Rules:
% 0.23/0.49 #0: input, references = 3, size of lhs = 2:
% 0.23/0.49 smaller_or_equal-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #1: input, references = 3, size of lhs = 1:
% 0.23/0.49 smaller-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #2: input, references = 4, size of lhs = 1:
% 0.23/0.49 #-{F} V1 | smaller_or_equal-{T}(V1,V1)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #3: input, references = 3, size of lhs = 2:
% 0.23/0.49 greater_or_equal-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #4: input, references = 3, size of lhs = 1:
% 0.23/0.49 greater-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #5: input, references = 3, size of lhs = 1:
% 0.23/0.49 #-{F} V1 | greater_or_equal-{T}(V1,V1)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #6: input, references = 6, size of lhs = 1:
% 0.23/0.49 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #7: input, references = 3, size of lhs = 1:
% 0.23/0.49 greater-{F}(V0,V1) | smaller-{T}(V1,V0)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #8: input, references = 6, size of lhs = 2:
% 0.23/0.49 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #9: input, references = 3, size of lhs = 2:
% 0.23/0.49 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #10: input, references = 5, size of lhs = 3:
% 0.23/0.49 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #11: input, references = 3, size of lhs = 9:
% 0.23/0.49 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V2,V3), P_stock_of_knowledge-{F}(V0,V1,V4), P_internal_friction-{F}(V0,V2,V5), P_internal_friction-{F}(V0,V1,V6), P_capability-{F}(V0,V2,V7), P_capability-{F}(V0,V1,V8), greater-{F}(V3,V4), smaller_or_equal-{F}(V5,V6) | greater-{T}(V7,V8)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #12: input, references = 5, size of lhs = 9:
% 0.23/0.49 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V2,V3), P_stock_of_knowledge-{F}(V0,V1,V4), P_internal_friction-{F}(V0,V2,V5), P_internal_friction-{F}(V0,V1,V6), P_capability-{F}(V0,V2,V7), P_capability-{F}(V0,V1,V8), smaller_or_equal-{F}(V3,V4), greater-{F}(V5,V6) | smaller-{T}(V7,V8)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #13: input, references = 3, size of lhs = 8:
% 0.23/0.49 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V2,V4), P_stock_of_knowledge-{F}(V0,V1,V4), P_internal_friction-{F}(V0,V2,V6), P_internal_friction-{F}(V0,V1,V6), P_capability-{F}(V0,V2,V7), P_capability-{F}(V0,V1,V8), V7 == V8 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #14: input, references = 4, size of lhs = 4:
% 0.23/0.49 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V2,V3), P_stock_of_knowledge-{F}(V0,V1,V4), V3 == V4 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #15: input, references = 7, size of lhs = 6:
% 0.23/0.49 organization-{F}(V0), P_age-{F}(V0,V2,V3), P_age-{F}(V0,V1,V4), P_internal_friction-{F}(V0,V2,V5), P_internal_friction-{F}(V0,V1,V6), greater-{F}(V3,V4) | greater-{T}(V5,V6)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #16: input, references = 4, size of lhs = 1:
% 0.23/0.49 P_sk1-{F}(V0) | organization-{T}(V0)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #17: input, references = 7, size of lhs = 5:
% 0.23/0.49 P_sk1-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V3,V4) | greater-{T}(V2,V4)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #18: input, references = 4, size of lhs = 8:
% 0.23/0.49 P_sk1-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V3,V4), P_capability-{F}(V0,V1,V5), P_capability-{F}(V0,V3,V6), smaller-{F}(V5,V6) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #19: input, references = 5, size of lhs = 2:
% 0.23/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_stock_of_knowledge-{T}(V0,V1,V2)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #20: input, references = 5, size of lhs = 2:
% 0.23/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_internal_friction-{T}(V0,V1,V2)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #21: input, references = 5, size of lhs = 2:
% 0.23/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_capability-{T}(V0,V1,V2)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #22: input, references = 9, size of lhs = 2:
% 0.23/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_age-{T}(V0,V1,V2)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #23: input, references = 4, size of lhs = 0:
% 0.23/0.49 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #24: input, references = 4, size of lhs = 0:
% 0.23/0.49 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #25: input, references = 4, size of lhs = 0:
% 0.23/0.49 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 number of initial rules = 26
% 0.23/0.49
% 0.23/0.49 Simplifiers:
% 0.23/0.49 #26: unsound, references = 3, size of lhs = 3:
% 0.23/0.49 organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #27: unsound, references = 3, size of lhs = 3:
% 0.23/0.49 P_stock_of_knowledge-{F}(V0,V1,V2), P_stock_of_knowledge-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #28: unsound, references = 3, size of lhs = 3:
% 0.23/0.49 P_internal_friction-{F}(V0,V1,V2), P_internal_friction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #29: unsound, references = 3, size of lhs = 3:
% 0.23/0.49 P_capability-{F}(V0,V1,V2), P_capability-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #30: unsound, references = 3, size of lhs = 3:
% 0.23/0.49 P_age-{F}(V0,V1,V2), P_age-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #31: unsound, references = 3, size of lhs = 3:
% 0.23/0.49 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #32: unsound, references = 3, size of lhs = 3:
% 0.23/0.49 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #33: unsound, references = 3, size of lhs = 3:
% 0.23/0.49 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 number of simplifiers = 8
% 0.23/0.49
% 0.23/0.49 Learnt:
% 0.23/0.49 #38: disj( #10, #6+#12+#6+#8 ), references = 1, size of lhs = 9:
% 0.23/0.49 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V1,V2), P_internal_friction-{F}(V0,V1,V3), P_capability-{F}(V0,V1,V3), smaller_or_equal-{F}(V2,V4), P_stock_of_knowledge-{F}(V0,V5,V4), P_internal_friction-{F}(V0,V5,V6), V6 == V3, P_capability-{F}(V0,V5,V6) | greater-{T}(V6,V3)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #43: exists( #22, #18 ), references = 1, size of lhs = 7:
% 0.23/0.49 P_sk1-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_capability-{F}(V0,V1,V4), P_capability-{F}(V0,V3,V5), smaller-{F}(V4,V5) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #45: exists( #22, #42 ), references = 1, size of lhs = 6:
% 0.23/0.49 P_sk1-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_capability-{F}(V0,V1,V3), P_capability-{F}(V0,V2,V4), smaller-{F}(V3,V4) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #48: disj( #10, #12+#44 ), references = 1, size of lhs = 14:
% 0.23/0.49 organization-{F}(V0), P_sk1-{F}(V1), P_sk3-{F}(V2), P_sk2-{F}(V3), P_capability-{F}(V1,V2,V4), P_capability-{F}(V0,V5,V4), P_stock_of_knowledge-{F}(V0,V5,V6), P_internal_friction-{F}(V0,V5,V7), smaller_or_equal-{F}(V6,V8), P_stock_of_knowledge-{F}(V0,V9,V8), P_internal_friction-{F}(V0,V9,V10), V7 == V10, P_capability-{F}(V0,V9,V11), P_capability-{F}(V1,V3,V11) | smaller-{T}(V7,V10)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #50: exists( #19, #14 ), references = 2, size of lhs = 3:
% 0.23/0.49 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V1,V2), #-{F} V3 | P_stock_of_knowledge-{T}(V0,V3,V2)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #56: exists( #22, #54 ), references = 2, size of lhs = 9:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V4,V2), P_internal_friction-{F}(V0,V4,V5), P_internal_friction-{F}(V0,V3,V6), greater-{F}(V6,V5) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #58: exists( #22, #55 ), references = 2, size of lhs = 7:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_internal_friction-{F}(V0,V1,V3), P_internal_friction-{F}(V0,V2,V4), greater-{F}(V4,V3) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #65: mergings( V0 == V10, V3 == V11, V1 == V12; #61 ), references = 1, size of lhs = 13:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_capability-{F}(V0,V1,V2), P_capability-{F}(V0,V3,V2), P_stock_of_knowledge-{F}(V0,V3,V4), P_internal_friction-{F}(V0,V3,V5), P_internal_friction-{F}(V0,V1,V5), smaller_or_equal-{F}(V4,V6), P_sk2-{F}(V7), P_stock_of_knowledge-{F}(V0,V7,V6), P_internal_friction-{F}(V0,V7,V8), V5 == V8 | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #68: mergings( V3 == V9; #66 ), references = 2, size of lhs = 11:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_capability-{F}(V0,V1,V2), P_capability-{F}(V0,V3,V2), P_stock_of_knowledge-{F}(V0,V3,V4), P_internal_friction-{F}(V0,V3,V5), P_internal_friction-{F}(V0,V1,V5), smaller_or_equal-{F}(V4,V6), P_sk2-{F}(V7), P_stock_of_knowledge-{F}(V0,V7,V6) | P_internal_friction-{T}(V0,V7,V5)
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #81: exists( #22, #75 ), references = 1, size of lhs = 8:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V4,V2), P_internal_friction-{F}(V0,V4,V5), P_internal_friction-{F}(V0,V3,V5) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #86: mergings( V0 == V5, V3 == V6, V1 == V7, V8 == V9; #79 ), references = 1, size of lhs = 9:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_internal_friction-{F}(V0,V1,V4), P_internal_friction-{F}(V0,V3,V4), P_internal_friction-{F}(V0,V5,V4), P_age-{F}(V0,V5,V2) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #92: mergings( V0 == V5, V3 == V6, V4 == V7, V1 == V8, V10 == V11; #80 ), references = 1, size of lhs = 10:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V4,V2), P_internal_friction-{F}(V0,V4,V5), P_internal_friction-{F}(V0,V3,V5), P_internal_friction-{F}(V0,V6,V5), P_age-{F}(V0,V6,V2) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #96: exists( #22, #78 ), references = 2, size of lhs = 6:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_internal_friction-{F}(V0,V1,V3), P_internal_friction-{F}(V0,V2,V3) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #105: mergings( V1 == V6; #103 ), references = 1, size of lhs = 8:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_stock_of_knowledge-{F}(V0,V1,V2), smaller_or_equal-{F}(V2,V3), P_internal_friction-{F}(V0,V1,V4), P_sk2-{F}(V5), P_stock_of_knowledge-{F}(V0,V5,V3) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #107: exists( #20, #103 ), references = 2, size of lhs = 7:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_stock_of_knowledge-{F}(V0,V1,V2), smaller_or_equal-{F}(V2,V3), P_sk2-{F}(V4), P_stock_of_knowledge-{F}(V0,V4,V3) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #112: exists( #19, #110 ), references = 1, size of lhs = 4:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #114: exists( #25, #111 ), references = 1, size of lhs = 3:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #116: exists( #24, #113 ), references = 1, size of lhs = 2:
% 0.23/0.49 P_sk1-{F}(V0), organization-{F}(V0) | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 #119: exists( #23, #117 ), references = 1, size of lhs = 0:
% 0.23/0.49 FALSE | FALSE
% 0.23/0.49 (used 0 times, uses = {})
% 0.23/0.49
% 0.23/0.49 number of learnt formulas = 19
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.49
% 0.23/0.49 randbase = 1
%------------------------------------------------------------------------------