TSTP Solution File: MGT058-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT058-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:10:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT058-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 11:25:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.43 GeoParameters:
% 0.19/0.43
% 0.19/0.43 tptp_input = 1
% 0.19/0.43 tptp_output = 0
% 0.19/0.43 nonempty = 1
% 0.19/0.43 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 RuleSystem INPUT:
% 0.19/0.43
% 0.19/0.43 Initial Rules:
% 0.19/0.43 #0: input, references = 3, size of lhs = 2:
% 0.19/0.43 smaller_or_equal-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #1: input, references = 8, size of lhs = 1:
% 0.19/0.43 smaller-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #2: input, references = 5, size of lhs = 1:
% 0.19/0.43 #-{F} V1 | smaller_or_equal-{T}(V1,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #3: input, references = 8, size of lhs = 2:
% 0.19/0.43 greater_or_equal-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #4: input, references = 3, size of lhs = 1:
% 0.19/0.43 greater-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #5: input, references = 3, size of lhs = 1:
% 0.19/0.43 #-{F} V1 | greater_or_equal-{T}(V1,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #6: input, references = 3, size of lhs = 1:
% 0.19/0.43 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #7: input, references = 8, size of lhs = 1:
% 0.19/0.43 greater-{F}(V0,V1) | smaller-{T}(V1,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #8: input, references = 3, size of lhs = 2:
% 0.19/0.43 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #9: input, references = 3, size of lhs = 2:
% 0.19/0.43 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #10: input, references = 3, size of lhs = 3:
% 0.19/0.43 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #11: input, references = 8, size of lhs = 4:
% 0.19/0.43 P_sigma-{F}(V0), fragile_position-{F}(V1), P_age-{F}(V1,V2,V3), smaller_or_equal-{F}(V3,V0) | positional_advantage-{T}(V1,V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #12: input, references = 3, size of lhs = 5:
% 0.19/0.43 P_sigma-{F}(V0), fragile_position-{F}(V1), P_age-{F}(V1,V2,V3), greater-{F}(V3,V0), positional_advantage-{F}(V1,V2) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #13: input, references = 3, size of lhs = 3:
% 0.19/0.43 P_sigma-{F}(V0), P_sk1-{F}(V1,V2), P_age-{F}(V1,V2,V3) | smaller_or_equal-{T}(V3,V0), greater-{T}(V3,V0), fragile_position-{T}(V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #14: input, references = 3, size of lhs = 3:
% 0.19/0.43 P_sigma-{F}(V0), P_sk1-{F}(V1,V2), P_age-{F}(V1,V2,V3) | smaller_or_equal-{T}(V3,V0), positional_advantage-{T}(V1,V2), fragile_position-{T}(V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #15: input, references = 3, size of lhs = 4:
% 0.19/0.43 P_sigma-{F}(V0), P_sk1-{F}(V1,V2), P_age-{F}(V1,V2,V3), positional_advantage-{F}(V1,V2) | greater-{T}(V3,V0), fragile_position-{T}(V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #16: input, references = 8, size of lhs = 6:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), robust_position-{F}(V2), P_age-{F}(V2,V3,V4), smaller_or_equal-{F}(V4,V1), positional_advantage-{F}(V2,V3) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #17: input, references = 3, size of lhs = 5:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), robust_position-{F}(V2), P_age-{F}(V2,V3,V4), greater-{F}(V4,V1) | positional_advantage-{T}(V2,V3)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #18: input, references = 3, size of lhs = 4:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk2-{F}(V2,V3), P_age-{F}(V2,V3,V4) | smaller_or_equal-{T}(V4,V1), greater-{T}(V4,V1), robust_position-{T}(V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #19: input, references = 3, size of lhs = 5:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk2-{F}(V2,V3), P_age-{F}(V2,V3,V4), positional_advantage-{F}(V2,V3) | smaller_or_equal-{T}(V4,V1), robust_position-{T}(V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #20: input, references = 3, size of lhs = 4:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk2-{F}(V2,V3), P_age-{F}(V2,V3,V4) | positional_advantage-{T}(V2,V3), greater-{T}(V4,V1), robust_position-{T}(V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #21: input, references = 3, size of lhs = 3:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk3-{F}(V2) | organization-{T}(V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #22: input, references = 4, size of lhs = 7:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3), P_age-{F}(V2,V3,V4), P_zero-{F}(V5), V4 == V5 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #23: input, references = 6, size of lhs = 6:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3), P_age-{F}(V2,V3,V4), P_zero-{F}(V5) | greater_or_equal-{T}(V0,V5)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #24: input, references = 5, size of lhs = 6:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3), P_age-{F}(V2,V3,V4), P_zero-{F}(V5) | greater_or_equal-{T}(V1,V5)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #25: input, references = 8, size of lhs = 6:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3), P_age-{F}(V2,V3,V4), P_zero-{F}(V5) | fragile_position-{T}(V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #26: input, references = 8, size of lhs = 6:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3), P_age-{F}(V2,V3,V4), P_zero-{F}(V5) | robust_position-{T}(V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #27: input, references = 4, size of lhs = 2:
% 0.19/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_age-{T}(V0,V1,V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #28: input, references = 4, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_sigma-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #29: input, references = 3, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | EXISTS V1: P_sk1-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #30: input, references = 4, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_tau-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #31: input, references = 3, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | EXISTS V1: P_sk2-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #32: input, references = 5, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #33: input, references = 5, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #34: input, references = 5, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of initial rules = 35
% 0.19/0.43
% 0.19/0.43 Simplifiers:
% 0.19/0.43 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_age-{F}(V0,V1,V2), P_age-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_sigma-{F}(V0), P_sigma-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_sk1-{F}(V0,V1), P_sk1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_tau-{F}(V0), P_tau-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_sk2-{F}(V0,V1), P_sk2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of simplifiers = 9
% 0.19/0.43
% 0.19/0.43 Learnt:
% 0.19/0.43 #45: exists( #27, #22 ), references = 5, size of lhs = 5:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3), P_zero-{F}(V4) | P_age-{T}(V2,V3,V4)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #63: mergings( V1 == V4, V4 == V6, V6 == V10, V10 == V11, V2 == V3, V3 == V5, V5 == V7, V7 == V11; #54 ), references = 1, size of lhs = 4:
% 0.19/0.43 P_sk3-{F}(V0), P_sk4-{F}(V1), P_tau-{F}(V2), P_sigma-{F}(V2) | P_zero-{T}(V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #88: mergings( V1 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V19, V2 == V3, V3 == V5, V5 == V7, V7 == V19, V19 == V12, V12 == V14, V14 == V16, V16 == V20, V8 == V17; #69 ), references = 1, size of lhs = 4:
% 0.19/0.43 P_sk3-{F}(V0), P_sigma-{F}(V1), P_tau-{F}(V1), smaller_or_equal-{F}(V1,V1) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #107: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V2 == V3, V3 == V5, V5 == V7, V7 == V17, V17 == V11, V11 == V13, V13 == V15, V15 == V18; #89 ), references = 2, size of lhs = 3:
% 0.19/0.43 P_sigma-{F}(V0), P_tau-{F}(V0), smaller_or_equal-{F}(V0,V0) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #146: mergings( V1 == V4, V4 == V5, V5 == V7, V7 == V11, V11 == V12, V2 == V3, V3 == V6, V6 == V8, V8 == V13; #136 ), references = 1, size of lhs = 4:
% 0.19/0.43 P_sk3-{F}(V0), P_sk4-{F}(V1), P_sigma-{F}(V2), P_tau-{F}(V3) | P_zero-{T}(V2), P_zero-{T}(V3)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #177: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V22, V22 == V23, V1 == V2, V2 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V24, V8 == V20, V9 == V21; #155 ), references = 1, size of lhs = 6:
% 0.19/0.43 P_sk3-{F}(V0), P_sk4-{F}(V1), P_sigma-{F}(V2), P_tau-{F}(V3), V2 == V3, smaller_or_equal-{F}(V3,V3) | P_zero-{T}(V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #219: mergings( V1 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V29, V29 == V32, V32 == V33, V2 == V3, V3 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V28, V28 == V30, V30 == V34, V9 == V20, V20 == V31; #187 ), references = 1, size of lhs = 6:
% 0.19/0.43 P_sk3-{F}(V0), P_sigma-{F}(V1), smaller_or_equal-{F}(V1,V1), P_tau-{F}(V2), V2 == V1, smaller_or_equal-{F}(V2,V2) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #250: mergings( V1 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V30, V2 == V3, V3 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V31; #220 ), references = 1, size of lhs = 5:
% 0.19/0.43 P_sigma-{F}(V0), smaller_or_equal-{F}(V0,V0), P_tau-{F}(V1), V1 == V0, smaller_or_equal-{F}(V1,V1) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #269: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #252 ), references = 1, size of lhs = 2:
% 0.19/0.43 P_sigma-{F}(V0), smaller_or_equal-{F}(V0,V0) | P_tau-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #288: exists( #28, #286 ), references = 1, size of lhs = 0:
% 0.19/0.43 FALSE | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of learnt formulas = 10
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 randbase = 1
%------------------------------------------------------------------------------