TSTP Solution File: SWV278-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV278-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n027.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 06:21:20 EDT 2022

% Result   : Unsatisfiable 0.18s 0.36s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n027.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 : Fri Jul 22 16:35:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  GeoParameters:
% 0.18/0.36  
% 0.18/0.36  tptp_input =     1
% 0.18/0.36  tptp_output =    0
% 0.18/0.36  nonempty =       1
% 0.18/0.36  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  
% 0.18/0.36  RuleSystem INPUT:
% 0.18/0.36  
% 0.18/0.36  Initial Rules:
% 0.18/0.36  #0: input, references = 4, size of lhs = 8:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_c_Message_Omsg_OKey-{F}(V2,V3), P_v_H-{F}(V4), P_c_Message_Oparts-{F}(V4,V5), P_tc_Message_Omsg-{F}(V6), c_in-{F}(V3,V5,V6) | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #1: input, references = 4, size of lhs = 9:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_c_Message_Omsg_OKey-{F}(V2,V3), P_v_H-{F}(V4), P_c_Message_Oparts-{F}(V4,V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OKey-{F}(V0,V7), P_c_Message_Oanalz-{F}(V4,V8) | c_in-{T}(V7,V8,V6)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #2: input, references = 4, size of lhs = 12:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_c_Message_Omsg_OKey-{F}(V2,V3), P_v_H-{F}(V4), P_c_Message_Oparts-{F}(V4,V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OKey-{F}(V0,V7), P_c_Message_Oanalz-{F}(V4,V8), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Oparts-{F}(V10,V12), c_in-{F}(V9,V11,V6) | c_in-{T}(V9,V12,V6)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #3: input, references = 5, size of lhs = 12:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_c_Message_Omsg_OKey-{F}(V2,V3), P_v_H-{F}(V4), P_c_Message_Oparts-{F}(V4,V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OKey-{F}(V0,V7), P_c_Message_Oanalz-{F}(V4,V8), P_c_Message_OinvKey-{F}(V9,V10), P_c_Message_OinvKey-{F}(V10,V11), V11 == V9 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #4: input, references = 5, size of lhs = 1:
% 0.18/0.36     #-{F} V0 | EXISTS V1: P_c_Message_Omsg_OKey-{T}(V0,V1)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #5: input, references = 5, size of lhs = 1:
% 0.18/0.36     #-{F} V0 | EXISTS V1: P_c_Message_OinvKey-{T}(V0,V1)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #6: input, references = 4, size of lhs = 0:
% 0.18/0.36     FALSE | EXISTS V0: P_v_K_H-{T}(V0)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #7: input, references = 5, size of lhs = 1:
% 0.18/0.36     #-{F} V0 | EXISTS V1: P_c_Message_Oparts-{T}(V0,V1)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #8: input, references = 4, size of lhs = 0:
% 0.18/0.36     FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #9: input, references = 4, size of lhs = 0:
% 0.18/0.36     FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #10: input, references = 5, size of lhs = 1:
% 0.18/0.36     #-{F} V0 | EXISTS V1: P_c_Message_Oanalz-{T}(V0,V1)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  number of initial rules = 11
% 0.18/0.36  
% 0.18/0.36  Simplifiers:
% 0.18/0.36  #11: unsound, references = 3, size of lhs = 3:
% 0.18/0.36     c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #12: unsound, references = 3, size of lhs = 3:
% 0.18/0.36     P_c_Message_Omsg_OKey-{F}(V0,V1), P_c_Message_Omsg_OKey-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #13: unsound, references = 3, size of lhs = 3:
% 0.18/0.36     P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #14: unsound, references = 3, size of lhs = 3:
% 0.18/0.36     P_v_K_H-{F}(V0), P_v_K_H-{F}(V1), V0 == V1 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #15: unsound, references = 3, size of lhs = 3:
% 0.18/0.36     P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Oparts-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.36     P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.36     P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.36     P_c_Message_Oanalz-{F}(V0,V1), P_c_Message_Oanalz-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  number of simplifiers = 8
% 0.18/0.36  
% 0.18/0.36  Learnt:
% 0.18/0.36  #20: exists( #10, #3 ), references = 2, size of lhs = 11:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_c_Message_Omsg_OKey-{F}(V2,V3), P_v_H-{F}(V4), P_c_Message_Oparts-{F}(V4,V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OKey-{F}(V0,V7), P_c_Message_OinvKey-{F}(V8,V9), P_c_Message_OinvKey-{F}(V9,V10), V10 == V8 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #22: exists( #7, #19 ), references = 2, size of lhs = 10:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_c_Message_Omsg_OKey-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Omsg_OKey-{F}(V0,V6), P_c_Message_OinvKey-{F}(V7,V8), P_c_Message_OinvKey-{F}(V8,V9), V9 == V7 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #28: exists( #4, #22 ), references = 1, size of lhs = 9:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_Message_Omsg_OKey-{F}(V0,V5), P_c_Message_OinvKey-{F}(V6,V7), P_c_Message_OinvKey-{F}(V7,V8), V8 == V6 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #29: exists( #4, #20 ), references = 1, size of lhs = 10:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Omsg_OKey-{F}(V0,V6), P_c_Message_OinvKey-{F}(V7,V8), P_c_Message_OinvKey-{F}(V8,V9), V9 == V7 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #30: exists( #4, #3 ), references = 1, size of lhs = 11:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Omsg_OKey-{F}(V0,V6), P_c_Message_Oanalz-{F}(V3,V7), P_c_Message_OinvKey-{F}(V8,V9), P_c_Message_OinvKey-{F}(V9,V10), V10 == V8 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #34: exists( #5, #25 ), references = 1, size of lhs = 6:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_OinvKey-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Omsg_OKey-{F}(V0,V4), P_c_Message_OinvKey-{F}(V5,V1) | P_c_Message_OinvKey-{T}(V1,V5)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #50: mergings( V2 == V8, V7 == V13, V3 == V9, V4 == V10, V5 == V11, V8 == V14, V9 == V15, V10 == V16, V11 == V13, V6 == V12, V12 == V18, V0 == V17; #37 ), references = 1, size of lhs = 8:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_Omsg_OKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V0,V2), P_c_Message_OinvKey-{F}(V2,V3), P_c_Message_Omsg_OKey-{F}(V3,V1), P_v_H-{F}(V4), P_c_Message_Oparts-{F}(V4,V5), P_tc_Message_Omsg-{F}(V6) | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #61: mergings( V2 == V7, V6 == V11, V3 == V8, V4 == V9, V5 == V10, V7 == V12, V8 == V13, V9 == V14, V10 == V11; #51 ), references = 1, size of lhs = 7:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_Omsg_OKey-{F}(V0,V1), P_c_Message_OinvKey-{F}(V0,V2), P_c_Message_OinvKey-{F}(V2,V3), P_c_Message_Omsg_OKey-{F}(V3,V1), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5) | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #70: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V2 == V9, V3 == V10; #63 ), references = 1, size of lhs = 4:
% 0.18/0.36     P_v_K_H-{F}(V0), P_c_Message_Omsg_OKey-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3) | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #74: mergings( V2 == V4, V3 == V5; #71 ), references = 1, size of lhs = 3:
% 0.18/0.36     P_v_K_H-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2) | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #77: mergings( V1 == V3; #75 ), references = 1, size of lhs = 2:
% 0.18/0.36     P_v_K_H-{F}(V0), P_v_H-{F}(V1) | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #79: exists( #8, #75 ), references = 1, size of lhs = 1:
% 0.18/0.36     P_v_K_H-{F}(V0) | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #81: exists( #6, #78 ), references = 1, size of lhs = 0:
% 0.18/0.36     FALSE | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  number of learnt formulas = 13
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  
% 0.18/0.36  randbase = 1
%------------------------------------------------------------------------------