TSTP Solution File: ANA044-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : ANA044-2 : TPTP v8.1.0. Released v3.2.0.
% 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   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 05:57:50 EDT 2022

% Result   : Unsatisfiable 0.18s 0.39s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ANA044-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Jul 23 00:13:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.39  GeoParameters:
% 0.18/0.39  
% 0.18/0.39  tptp_input =     1
% 0.18/0.39  tptp_output =    0
% 0.18/0.39  nonempty =       1
% 0.18/0.39  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  
% 0.18/0.39  RuleSystem INPUT:
% 0.18/0.39  
% 0.18/0.39  Initial Rules:
% 0.18/0.39  #0: input, references = 4, size of lhs = 3:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_l-{F}(V2,V3,V4) | c_lessequals-{T}(V0,V4,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #1: input, references = 4, size of lhs = 3:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_h-{F}(V2,V3) | c_lessequals-{T}(V0,V3,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #2: input, references = 4, size of lhs = 9:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), P_v_k-{F}(V2,V3,V5), P_v_h-{F}(V5,V6), P_c_times-{F}(V4,V6,V1,V8), P_c_HOL_Oabs-{F}(V8,V1,V8) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #3: input, references = 5, size of lhs = 9:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), P_v_k-{F}(V2,V3,V5), P_v_h-{F}(V5,V6), P_c_times-{F}(V4,V6,V1,V7), P_c_HOL_Oabs-{F}(V7,V1,V8) | class_Ring__and__Field_Oordered__idom-{T}(V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #4: input, references = 5, size of lhs = 13:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), P_v_k-{F}(V2,V3,V5), P_v_h-{F}(V5,V6), P_c_times-{F}(V4,V6,V1,V7), P_c_HOL_Oabs-{F}(V7,V1,V8), class_OrderedGroup_Olordered__ab__group__abs-{F}(V9), P_c_HOL_Oabs-{F}(V10,V9,V11), c_lessequals-{F}(V0,V10,V9), V11 == V10 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #5: input, references = 4, size of lhs = 13:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), P_v_k-{F}(V2,V3,V5), P_v_h-{F}(V5,V6), P_c_times-{F}(V4,V6,V1,V7), P_c_HOL_Oabs-{F}(V7,V1,V8), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V9), c_lessequals-{F}(V0,V10,V9), P_c_times-{F}(V10,V11,V9,V12), c_lessequals-{F}(V0,V11,V9) | c_lessequals-{T}(V0,V12,V9)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #6: input, references = 4, size of lhs = 10:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), P_v_k-{F}(V2,V3,V5), P_v_h-{F}(V5,V6), P_c_times-{F}(V4,V6,V1,V7), P_c_HOL_Oabs-{F}(V7,V1,V8), class_Ring__and__Field_Oordered__idom-{F}(V9) | class_Ring__and__Field_Opordered__cancel__semiring-{T}(V9)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #7: input, references = 5, size of lhs = 10:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), P_v_k-{F}(V2,V3,V5), P_v_h-{F}(V5,V6), P_c_times-{F}(V4,V6,V1,V7), P_c_HOL_Oabs-{F}(V7,V1,V8), class_Ring__and__Field_Oordered__idom-{F}(V9) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V9)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #8: input, references = 4, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #9: input, references = 4, size of lhs = 2:
% 0.18/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_v_l-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #10: input, references = 4, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: P_t_b-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #11: input, references = 4, size of lhs = 1:
% 0.18/0.39     #-{F} V0 | EXISTS V1: P_v_h-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #12: input, references = 4, size of lhs = 3:
% 0.18/0.39     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #13: input, references = 4, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #14: input, references = 4, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: P_v_xa-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #15: input, references = 4, size of lhs = 2:
% 0.18/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_v_k-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #16: input, references = 5, size of lhs = 2:
% 0.18/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of initial rules = 17
% 0.18/0.39  
% 0.18/0.39  Simplifiers:
% 0.18/0.39  #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     class_Ring__and__Field_Opordered__cancel__semiring-{F}(V0), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_v_l-{F}(V0,V1,V2), P_v_l-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_v_h-{F}(V0,V1), P_v_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_v_xa-{F}(V0), P_v_xa-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_v_k-{F}(V0,V1,V2), P_v_k-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of simplifiers = 14
% 0.18/0.39  
% 0.18/0.39  Learnt:
% 0.18/0.39  #46: mergings( V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V7 == V13, V8 == V14, V13 == V19, V14 == V20; #33 ), references = 1, size of lhs = 9:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), P_v_k-{F}(V2,V3,V5), P_v_h-{F}(V5,V6), P_c_times-{F}(V4,V6,V1,V7), c_lessequals-{F}(V0,V7,V1) | P_c_HOL_Oabs-{T}(V7,V1,V7)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #83: mergings( V3 == V9, V9 == V15, V15 == V26, V4 == V10, V10 == V16, V16 == V21, V21 == V29, V5 == V11, V6 == V12, V11 == V17, V12 == V18, V17 == V22, V18 == V23, V22 == V30, V23 == V31, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V19 == V24, V20 == V25, V24 == V32, V25 == V33; #59 ), references = 1, size of lhs = 11:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), c_lessequals-{F}(V0,V2,V1), c_lessequals-{F}(V0,V3,V1), P_c_times-{F}(V2,V3,V1,V4), P_v_x-{F}(V5), P_v_xa-{F}(V6), P_v_l-{F}(V5,V6,V7), P_v_k-{F}(V5,V6,V8), P_v_h-{F}(V8,V9), P_c_times-{F}(V7,V9,V1,V4) | P_c_HOL_Oabs-{T}(V4,V1,V4)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #105: mergings( V4 == V8, V8 == V12, V12 == V19, V19 == V23, V5 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V24, V6 == V10, V10 == V14, V14 == V17, V17 == V21, V21 == V25, V7 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26; #85 ), references = 2, size of lhs = 9:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), c_lessequals-{F}(V0,V4,V1), P_v_k-{F}(V2,V3,V5), P_v_h-{F}(V5,V6), c_lessequals-{F}(V0,V6,V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #108: exists( #11, #106 ), references = 1, size of lhs = 7:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), c_lessequals-{F}(V0,V4,V1), P_v_k-{F}(V2,V3,V5) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #110: exists( #15, #107 ), references = 2, size of lhs = 6:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3), P_v_l-{F}(V2,V3,V4), c_lessequals-{F}(V0,V4,V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #113: exists( #9, #111 ), references = 1, size of lhs = 4:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_xa-{F}(V3) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #115: exists( #14, #112 ), references = 1, size of lhs = 3:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #117: exists( #13, #114 ), references = 1, size of lhs = 2:
% 0.18/0.39     P_c_0-{F}(V0), P_t_b-{F}(V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #119: exists( #10, #116 ), references = 1, size of lhs = 1:
% 0.18/0.39     P_c_0-{F}(V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #121: exists( #8, #118 ), references = 1, size of lhs = 0:
% 0.18/0.39     FALSE | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of learnt formulas = 10
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  
% 0.18/0.39  randbase = 1
%------------------------------------------------------------------------------