TSTP Solution File: SWV009-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 06:20:52 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
% 0.03/0.11  % Problem  : SWV009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % 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 : Fri Jul 22 16:04:12 EDT 2022
% 0.12/0.33  % 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43  % SZS output start Refutation for /export/starexec/sandbox2/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 = 6, size of lhs = 2:
% 0.19/0.43     #-{F} V0, #-{F} V1 | less_or_equal-{T}(V0,V1), less-{T}(V1,V0)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #1: input, references = 3, size of lhs = 2:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1) | less-{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 = 4:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2), P_p-{F}(V3) | less_or_equal-{T}(V2,V3)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #3: input, references = 5, size of lhs = 5:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2), P_p-{F}(V3), P_q-{F}(V4) | less_or_equal-{T}(V3,V4)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #4: input, references = 6, size of lhs = 6:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2), P_p-{F}(V3), P_q-{F}(V4), P_n-{F}(V5) | less_or_equal-{T}(V4,V5)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #5: input, references = 4, size of lhs = 12:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2), P_p-{F}(V3), P_q-{F}(V4), P_n-{F}(V5), P_a-{F}(V6,V7), less-{F}(V0,V6), less_or_equal-{F}(V6,V5), P_a-{F}(V8,V9), less_or_equal-{F}(V2,V8), less-{F}(V8,V1) | less_or_equal-{T}(V9,V7)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #6: input, references = 6, size of lhs = 11:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2), P_p-{F}(V3), P_q-{F}(V4), P_n-{F}(V5), P_a-{F}(V6,V7), less_or_equal-{F}(V6,V0), P_a-{F}(V8,V9), less_or_equal-{F}(V2,V8), less_or_equal-{F}(V8,V6) | less_or_equal-{T}(V9,V7)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #7: input, references = 5, size of lhs = 11:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2), P_p-{F}(V3), P_q-{F}(V4), P_n-{F}(V5), P_a-{F}(V6,V7), less_or_equal-{F}(V6,V5), P_a-{F}(V8,V9), less_or_equal-{F}(V1,V8), less_or_equal-{F}(V8,V6) | less_or_equal-{T}(V9,V7)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #8: input, references = 9, size of lhs = 9:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2), P_p-{F}(V3), P_q-{F}(V4), P_n-{F}(V5), P_a-{F}(V3,V6), P_a-{F}(V4,V7), less_or_equal-{F}(V6,V7) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #9: input, references = 4, size of lhs = 0:
% 0.19/0.43     FALSE | EXISTS V0: P_j-{T}(V0)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #10: input, references = 4, size of lhs = 0:
% 0.19/0.43     FALSE | EXISTS V0: P_i-{T}(V0)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #11: input, references = 4, size of lhs = 0:
% 0.19/0.43     FALSE | EXISTS V0: P_m-{T}(V0)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #12: input, references = 5, size of lhs = 0:
% 0.19/0.43     FALSE | EXISTS V0: P_p-{T}(V0)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #13: input, references = 5, size of lhs = 0:
% 0.19/0.43     FALSE | EXISTS V0: P_q-{T}(V0)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #14: input, references = 7, size of lhs = 0:
% 0.19/0.43     FALSE | EXISTS V0: P_n-{T}(V0)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #15: input, references = 11, size of lhs = 1:
% 0.19/0.43     #-{F} V0 | EXISTS V1: P_a-{T}(V0,V1)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  number of initial rules = 16
% 0.19/0.43  
% 0.19/0.43  Simplifiers:
% 0.19/0.43  #16: unsound, references = 3, size of lhs = 3:
% 0.19/0.43     P_j-{F}(V0), P_j-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #17: unsound, references = 3, size of lhs = 3:
% 0.19/0.43     P_i-{F}(V0), P_i-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.43     P_m-{F}(V0), P_m-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.43     P_p-{F}(V0), P_p-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.43     P_q-{F}(V0), P_q-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.43     P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.43     P_a-{F}(V0,V1), P_a-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  number of simplifiers = 7
% 0.19/0.43  
% 0.19/0.43  Learnt:
% 0.19/0.43  #31: mergings( V1 == V10, V2 == V11, V3 == V12, V4 == V13, V5 == V14, V6 == V15; #24 ), references = 1, size of lhs = 12:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2), less_or_equal-{F}(V2,V3), P_a-{F}(V3,V4), less_or_equal-{F}(V3,V5), P_a-{F}(V5,V6), P_p-{F}(V7), P_a-{F}(V7,V4), P_q-{F}(V8), P_a-{F}(V8,V6), P_n-{F}(V9) | less-{T}(V0,V5)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #40: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V0, V6 == V0, V7 == V11; #33 ), references = 1, size of lhs = 9:
% 0.19/0.43     P_p-{F}(V0), less_or_equal-{F}(V0,V0), P_q-{F}(V0), less_or_equal-{F}(V0,V1), P_j-{F}(V1), P_i-{F}(V2), P_m-{F}(V3), less_or_equal-{F}(V3,V0), P_n-{F}(V4) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #50: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V0, V6 == V0, V7 == V11; #43 ), references = 1, size of lhs = 9:
% 0.19/0.43     P_p-{F}(V0), less_or_equal-{F}(V0,V0), P_q-{F}(V0), less_or_equal-{F}(V0,V1), P_n-{F}(V1), P_j-{F}(V2), P_i-{F}(V3), less_or_equal-{F}(V3,V0), P_m-{F}(V4) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #62: mergings( V1 == V5, V5 == V11, V2 == V6, V6 == V12, V3 == V7, V7 == V13, V4 == V8, V8 == V10, V9 == V10; #52 ), references = 1, size of lhs = 7:
% 0.19/0.43     P_p-{F}(V0), less_or_equal-{F}(V0,V0), P_q-{F}(V0), P_j-{F}(V1), P_i-{F}(V2), less_or_equal-{F}(V2,V0), P_m-{F}(V3) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #72: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V0, V7 == V14; #65 ), references = 1, size of lhs = 11:
% 0.19/0.43     P_q-{F}(V0), less_or_equal-{F}(V0,V1), P_n-{F}(V1), P_j-{F}(V2), P_i-{F}(V3), less_or_equal-{F}(V3,V4), less_or_equal-{F}(V4,V0), P_a-{F}(V4,V5), P_m-{F}(V6), P_p-{F}(V7), P_a-{F}(V7,V5) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #80: mergings( V2 == V9, V3 == V10, V4 == V11, V5 == V0, V6 == V8, V7 == V12; #73 ), references = 1, size of lhs = 9:
% 0.19/0.43     P_p-{F}(V0), less_or_equal-{F}(V0,V1), P_q-{F}(V1), less_or_equal-{F}(V1,V2), P_n-{F}(V2), P_j-{F}(V3), P_i-{F}(V4), less_or_equal-{F}(V4,V0), P_m-{F}(V5) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #92: mergings( V1 == V5, V5 == V12, V2 == V6, V6 == V13, V3 == V7, V7 == V14, V4 == V8, V8 == V10, V9 == V11; #82 ), references = 1, size of lhs = 7:
% 0.19/0.43     P_p-{F}(V0), less_or_equal-{F}(V0,V1), P_q-{F}(V1), P_j-{F}(V2), P_i-{F}(V3), less_or_equal-{F}(V3,V0), P_m-{F}(V4) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #106: mergings( V1 == V4, V4 == V8, V8 == V13, V2 == V5, V5 == V9, V9 == V14, V3 == V6, V6 == V10, V10 == V15, V7 == V11, V11 == V12; #94 ), references = 1, size of lhs = 5:
% 0.19/0.43     P_p-{F}(V0), P_j-{F}(V1), P_i-{F}(V2), less_or_equal-{F}(V2,V0), P_m-{F}(V3) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #121: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V12, V2 == V3, V3 == V5, V5 == V8, V8 == V13, V13 == V6, V6 == V9, V9 == V11, V11 == V14; #108 ), references = 1, size of lhs = 3:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V1) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #132: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V0, V6 == V13, V7 == V14; #125 ), references = 1, size of lhs = 11:
% 0.19/0.43     P_p-{F}(V0), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V2), P_j-{F}(V2), P_a-{F}(V1,V3), P_i-{F}(V4), P_m-{F}(V5), less_or_equal-{F}(V5,V0), P_q-{F}(V6), P_a-{F}(V6,V3), P_n-{F}(V7) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #140: mergings( V2 == V9, V3 == V10, V4 == V11, V5 == V8, V6 == V0, V7 == V12; #133 ), references = 2, size of lhs = 9:
% 0.19/0.43     P_p-{F}(V0), less_or_equal-{F}(V0,V1), P_q-{F}(V1), less_or_equal-{F}(V1,V2), P_j-{F}(V2), P_i-{F}(V3), P_m-{F}(V4), less_or_equal-{F}(V4,V0), P_n-{F}(V5) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #145: disj( #0, mergings( V1 == V4, V4 == V8, V8 == V13, V2 == V5, V5 == V9, V9 == V14, V3 == V6, V6 == V10, V10 == V15, V7 == V11, V11 == V12; #94 ) ), references = 1, size of lhs = 4:
% 0.19/0.43     P_p-{F}(V0), P_j-{F}(V1), P_i-{F}(V2), P_m-{F}(V3) | less-{T}(V0,V2)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #158: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V0, V6 == V13, V7 == V14; #151 ), references = 1, size of lhs = 12:
% 0.19/0.43     P_p-{F}(V0), less-{F}(V0,V1), P_i-{F}(V1), P_j-{F}(V2), less-{F}(V2,V3), less_or_equal-{F}(V3,V4), P_n-{F}(V4), P_a-{F}(V3,V5), P_m-{F}(V6), less_or_equal-{F}(V6,V0), P_q-{F}(V7), P_a-{F}(V7,V5) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #166: mergings( V2 == V9, V3 == V10, V4 == V11, V5 == V8, V6 == V0, V7 == V12; #159 ), references = 1, size of lhs = 10:
% 0.19/0.43     P_q-{F}(V0), less_or_equal-{F}(V0,V1), P_n-{F}(V1), P_p-{F}(V2), less-{F}(V2,V3), P_i-{F}(V3), P_j-{F}(V4), less-{F}(V4,V0), P_m-{F}(V5), less_or_equal-{F}(V5,V2) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #178: mergings( V1 == V5, V5 == V12, V2 == V6, V6 == V13, V3 == V7, V7 == V14, V4 == V8, V8 == V11, V9 == V10; #168 ), references = 1, size of lhs = 8:
% 0.19/0.43     P_q-{F}(V0), P_p-{F}(V1), less-{F}(V1,V2), P_i-{F}(V2), P_j-{F}(V3), less-{F}(V3,V0), P_m-{F}(V4), less_or_equal-{F}(V4,V1) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #183: disj( #0, mergings( V1 == V5, V5 == V12, V2 == V6, V6 == V13, V3 == V7, V7 == V14, V4 == V8, V8 == V11, V9 == V10; #168 ) ), references = 1, size of lhs = 7:
% 0.19/0.43     P_q-{F}(V0), P_p-{F}(V1), less-{F}(V1,V2), P_i-{F}(V2), P_j-{F}(V3), P_m-{F}(V4), less_or_equal-{F}(V4,V1) | less_or_equal-{T}(V0,V3)
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #185: exists( #14, #140 ), references = 1, size of lhs = 8:
% 0.19/0.43     P_p-{F}(V0), less_or_equal-{F}(V0,V1), P_q-{F}(V1), less_or_equal-{F}(V1,V2), P_j-{F}(V2), P_i-{F}(V3), P_m-{F}(V4), less_or_equal-{F}(V4,V0) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #195: mergings( V1 == V8, V2 == V5, V5 == V9, V3 == V6, V6 == V10, V4 == V7; #188 ), references = 1, size of lhs = 6:
% 0.19/0.43     P_p-{F}(V0), less-{F}(V0,V1), P_i-{F}(V1), P_j-{F}(V2), P_m-{F}(V3), less_or_equal-{F}(V3,V0) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #207: mergings( V1 == V3, V3 == V5, V5 == V9, V2 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V11; #198 ), references = 1, size of lhs = 3:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1), P_m-{F}(V2) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #215: mergings( V1 == V3, V3 == V4, V4 == V7, V2 == V5, V5 == V6, V6 == V8; #208 ), references = 1, size of lhs = 2:
% 0.19/0.43     P_j-{F}(V0), P_i-{F}(V1) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #220: mergings( V1 == V2, V2 == V3, V3 == V4; #216 ), references = 1, size of lhs = 1:
% 0.19/0.43     P_j-{F}(V0) | FALSE
% 0.19/0.43        (used 0 times, uses = {})
% 0.19/0.43  
% 0.19/0.43  #222: exists( #9, #216 ), 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 = 22
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43  
% 0.19/0.43  randbase = 1
%------------------------------------------------------------------------------