%------------------------------------------------------------------------------
% 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 : n007.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 : Theorem 0.46s 0.71s
% Output : Refutation 0.46s
% 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
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 13:11:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.46/0.71 GeoParameters:
% 0.46/0.71
% 0.46/0.71 tptp_input = 1
% 0.46/0.71 tptp_output = 0
% 0.46/0.71 nonempty = 1
% 0.46/0.71 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.46/0.71
% 0.46/0.71
% 0.46/0.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71
% 0.46/0.71 RuleSystem INPUT:
% 0.46/0.71
% 0.46/0.71 Initial Rules:
% 0.46/0.71 #0: input, references = 3, size of lhs = 1:
% 0.46/0.71 smaller_or_equal-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #1: input, references = 4, size of lhs = 1:
% 0.46/0.71 pppp0-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #2: input, references = 3, size of lhs = 2:
% 0.46/0.71 pppp0-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #3: input, references = 3, size of lhs = 1:
% 0.46/0.71 smaller-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #4: input, references = 4, size of lhs = 1:
% 0.46/0.71 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #5: input, references = 3, size of lhs = 1:
% 0.46/0.71 greater_or_equal-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #6: input, references = 3, size of lhs = 1:
% 0.46/0.71 pppp1-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #7: input, references = 3, size of lhs = 2:
% 0.46/0.71 pppp1-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #8: input, references = 3, size of lhs = 1:
% 0.46/0.71 greater-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #9: input, references = 3, size of lhs = 1:
% 0.46/0.71 #-{F} V1 | pppp1-{T}(V1,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #10: input, references = 5, size of lhs = 1:
% 0.46/0.71 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #11: input, references = 3, size of lhs = 1:
% 0.46/0.71 greater-{F}(V1,V0) | smaller-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #12: input, references = 6, size of lhs = 2:
% 0.46/0.71 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #13: input, references = 3, size of lhs = 2:
% 0.46/0.71 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #14: input, references = 4, size of lhs = 3:
% 0.46/0.71 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #15: input, references = 3, size of lhs = 9:
% 0.46/0.71 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V1,V3), P_stock_of_knowledge-{F}(V0,V2,V4), P_internal_friction-{F}(V0,V1,V5), P_internal_friction-{F}(V0,V2,V6), P_capability-{F}(V0,V1,V7), P_capability-{F}(V0,V2,V8), greater-{F}(V3,V4), smaller_or_equal-{F}(V5,V6) | greater-{T}(V7,V8)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #16: input, references = 5, size of lhs = 9:
% 0.46/0.71 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V1,V3), P_stock_of_knowledge-{F}(V0,V2,V4), P_internal_friction-{F}(V0,V1,V5), P_internal_friction-{F}(V0,V2,V6), P_capability-{F}(V0,V1,V7), P_capability-{F}(V0,V2,V8), smaller_or_equal-{F}(V3,V4), greater-{F}(V5,V6) | smaller-{T}(V7,V8)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #17: input, references = 4, size of lhs = 8:
% 0.46/0.71 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V1,V4), P_stock_of_knowledge-{F}(V0,V2,V4), P_internal_friction-{F}(V0,V1,V6), P_internal_friction-{F}(V0,V2,V6), P_capability-{F}(V0,V1,V7), P_capability-{F}(V0,V2,V8), V7 == V8 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #18: input, references = 4, size of lhs = 4:
% 0.46/0.71 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V1,V3), P_stock_of_knowledge-{F}(V0,V2,V4), V3 == V4 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #19: input, references = 5, size of lhs = 6:
% 0.46/0.71 organization-{F}(V0), P_age-{F}(V0,V1,V3), P_age-{F}(V0,V2,V4), P_internal_friction-{F}(V0,V1,V5), P_internal_friction-{F}(V0,V2,V6), greater-{F}(V3,V4) | greater-{T}(V5,V6)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #20: input, references = 4, size of lhs = 0:
% 0.46/0.71 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #21: input, references = 4, size of lhs = 1:
% 0.46/0.71 pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #22: input, references = 4, size of lhs = 1:
% 0.46/0.71 pppp4-{F}(V0) | organization-{T}(V0)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #23: input, references = 4, size of lhs = 1:
% 0.46/0.71 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #24: input, references = 4, size of lhs = 6:
% 0.46/0.71 pppp2-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3), P_age-{F}(V0,V2,V4), P_capability-{F}(V0,V1,V5), P_capability-{F}(V0,V2,V6), smaller-{F}(V5,V6) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #25: input, references = 6, size of lhs = 5:
% 0.46/0.71 pppp2-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3), P_age-{F}(V0,V2,V4), P_capability-{F}(V0,V1,V5), P_capability-{F}(V0,V2,V6) | greater-{T}(V3,V4)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #26: input, references = 5, size of lhs = 2:
% 0.46/0.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_stock_of_knowledge-{T}(V0,V1,V2)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #27: input, references = 5, size of lhs = 2:
% 0.46/0.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_internal_friction-{T}(V0,V1,V2)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #28: input, references = 6, size of lhs = 2:
% 0.46/0.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_capability-{T}(V0,V1,V2)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #29: input, references = 8, size of lhs = 2:
% 0.46/0.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_age-{T}(V0,V1,V2)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 number of initial rules = 30
% 0.46/0.71
% 0.46/0.71 Simplifiers:
% 0.46/0.71 #30: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #31: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_stock_of_knowledge-{F}(V0,V1,V2), P_stock_of_knowledge-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #32: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_internal_friction-{F}(V0,V1,V2), P_internal_friction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #33: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_capability-{F}(V0,V1,V2), P_capability-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #34: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 P_age-{F}(V0,V1,V2), P_age-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #35: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #36: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #37: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #38: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #39: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #40: unsound, references = 3, size of lhs = 3:
% 0.46/0.71 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 number of simplifiers = 11
% 0.46/0.71
% 0.46/0.71 Learnt:
% 0.46/0.71 #45: disj( #14, #10+#16+#10+#12 ), references = 1, size of lhs = 9:
% 0.46/0.71 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)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #50: exists( #26, #18 ), references = 4, size of lhs = 3:
% 0.46/0.71 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V1,V2), #-{F} V3 | P_stock_of_knowledge-{T}(V0,V3,V2)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #56: exists( #29, #54 ), references = 2, size of lhs = 9:
% 0.46/0.71 organization-{F}(V0), P_internal_friction-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V3), P_age-{F}(V0,V3,V4), P_age-{F}(V0,V5,V4), P_internal_friction-{F}(V0,V5,V6), greater-{F}(V6,V2), P_capability-{F}(V0,V1,V7), P_capability-{F}(V0,V3,V8) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #60: mergings( V3 == V4; #58 ), references = 1, size of lhs = 2:
% 0.46/0.71 pppp2-{F}(V0,V1,V1), P_capability-{F}(V0,V1,V2) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #62: exists( #28, #17 ), references = 1, size of lhs = 6:
% 0.46/0.71 organization-{F}(V0), P_stock_of_knowledge-{F}(V0,V1,V2), P_stock_of_knowledge-{F}(V0,V3,V2), P_internal_friction-{F}(V0,V1,V4), P_internal_friction-{F}(V0,V3,V4), P_capability-{F}(V0,V1,V5) | P_capability-{T}(V0,V3,V5)
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #65: exists( #29, #56 ), references = 1, size of lhs = 7:
% 0.46/0.71 organization-{F}(V0), P_internal_friction-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V3), P_internal_friction-{F}(V0,V3,V4), greater-{F}(V4,V2), P_capability-{F}(V0,V1,V5), P_capability-{F}(V0,V3,V6) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #80: mergings( V0 == V3, V13 == V16, V14 == V17, V15 == V9, V5 == V18; #74 ), references = 1, size of lhs = 15:
% 0.46/0.71 organization-{F}(V0), P_age-{F}(V0,V1,V2), P_internal_friction-{F}(V0,V1,V3), P_internal_friction-{F}(V0,V4,V3), P_stock_of_knowledge-{F}(V0,V4,V5), P_capability-{F}(V0,V4,V6), smaller_or_equal-{F}(V5,V7), P_stock_of_knowledge-{F}(V0,V8,V7), P_internal_friction-{F}(V0,V8,V9), P_capability-{F}(V0,V8,V10), P_capability-{F}(V0,V11,V6), P_age-{F}(V0,V11,V2), pppp2-{F}(V0,V11,V12), P_internal_friction-{F}(V0,V12,V9), P_capability-{F}(V0,V12,V10) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #85: mergings( V11 == V13, V12 == V8, V4 == V14; #81 ), references = 1, size of lhs = 12:
% 0.46/0.71 organization-{F}(V0), P_age-{F}(V0,V1,V2), P_internal_friction-{F}(V0,V1,V3), P_internal_friction-{F}(V0,V4,V3), P_stock_of_knowledge-{F}(V0,V4,V5), P_capability-{F}(V0,V4,V6), smaller_or_equal-{F}(V5,V7), P_capability-{F}(V0,V8,V6), P_age-{F}(V0,V8,V2), pppp2-{F}(V0,V8,V9), P_stock_of_knowledge-{F}(V0,V9,V7), P_internal_friction-{F}(V0,V9,V10) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #90: mergings( V10 == V12, V11 == V8, V4 == V13; #86 ), references = 1, size of lhs = 11:
% 0.46/0.71 organization-{F}(V0), P_age-{F}(V0,V1,V2), P_internal_friction-{F}(V0,V1,V3), P_internal_friction-{F}(V0,V4,V3), P_stock_of_knowledge-{F}(V0,V4,V5), P_capability-{F}(V0,V4,V6), smaller_or_equal-{F}(V5,V7), P_capability-{F}(V0,V8,V6), P_age-{F}(V0,V8,V2), pppp2-{F}(V0,V8,V9), P_stock_of_knowledge-{F}(V0,V9,V7) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #93: mergings( V6 == V9; #91 ), references = 1, size of lhs = 9:
% 0.46/0.71 organization-{F}(V0), P_internal_friction-{F}(V0,V1,V2), P_internal_friction-{F}(V0,V3,V2), P_stock_of_knowledge-{F}(V0,V3,V4), P_capability-{F}(V0,V3,V5), P_capability-{F}(V0,V1,V5), smaller_or_equal-{F}(V4,V6), pppp2-{F}(V0,V1,V7), P_stock_of_knowledge-{F}(V0,V7,V6) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #97: mergings( V8 == V9; #95 ), references = 1, size of lhs = 9:
% 0.46/0.71 organization-{F}(V0), pppp3-{F}(V0,V1), P_internal_friction-{F}(V0,V1,V2), P_internal_friction-{F}(V0,V3,V2), P_stock_of_knowledge-{F}(V0,V3,V4), smaller_or_equal-{F}(V4,V5), P_stock_of_knowledge-{F}(V0,V6,V5), P_capability-{F}(V0,V3,V7), P_capability-{F}(V0,V1,V7) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #99: exists( #28, #95 ), references = 1, size of lhs = 6:
% 0.46/0.71 organization-{F}(V0), pppp3-{F}(V0,V1), P_internal_friction-{F}(V0,V1,V2), P_stock_of_knowledge-{F}(V0,V1,V3), smaller_or_equal-{F}(V3,V4), P_stock_of_knowledge-{F}(V0,V5,V4) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #101: exists( #27, #98 ), references = 2, size of lhs = 5:
% 0.46/0.71 organization-{F}(V0), pppp3-{F}(V0,V1), P_stock_of_knowledge-{F}(V0,V1,V2), smaller_or_equal-{F}(V2,V3), P_stock_of_knowledge-{F}(V0,V4,V3) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #109: exists( #26, #107 ), references = 1, size of lhs = 2:
% 0.46/0.71 organization-{F}(V0), pppp3-{F}(V0,V1) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #111: exists( #21, #108 ), references = 1, size of lhs = 2:
% 0.46/0.71 pppp4-{F}(V0), organization-{F}(V0) | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 #114: exists( #20, #112 ), references = 1, size of lhs = 0:
% 0.46/0.71 FALSE | FALSE
% 0.46/0.71 (used 0 times, uses = {})
% 0.46/0.71
% 0.46/0.71 number of learnt formulas = 16
% 0.46/0.71
% 0.46/0.71
% 0.46/0.71 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71
% 0.46/0.71 randbase = 1
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