TSTP Solution File: SYO614-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n003.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 06:26:31 EDT 2022

% Result   : Unsatisfiable 0.37s 0.59s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.32  % Computer : n003.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sat Jul 23 01:14:53 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.37/0.59  GeoParameters:
% 0.37/0.59  
% 0.37/0.59  tptp_input =     1
% 0.37/0.59  tptp_output =    0
% 0.37/0.59  nonempty =       1
% 0.37/0.59  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.59  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.37/0.59  
% 0.37/0.59  
% 0.37/0.59  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.59  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.59  
% 0.37/0.59  RuleSystem INPUT:
% 0.37/0.59  
% 0.37/0.59  Initial Rules:
% 0.37/0.59  #0: input, references = 7, size of lhs = 1:
% 0.37/0.59     #-{F} V0 | le-{T}(V0,V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #1: input, references = 5, size of lhs = 2:
% 0.37/0.59     P_max-{F}(V0,V2,V3), le-{F}(V3,V1) | le-{T}(V0,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #2: input, references = 5, size of lhs = 2:
% 0.37/0.59     P_max-{F}(V2,V0,V3), le-{F}(V3,V1) | le-{T}(V0,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #3: input, references = 10, size of lhs = 3:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3) | eq-{T}(V3,V0), eq-{T}(V3,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #4: input, references = 6, size of lhs = 8:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), eq-{F}(V3,V0), P_f-{F}(V4,V5), P_s-{F}(V4,V6), eq-{F}(V5,V0), le-{F}(V6,V2) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #5: input, references = 7, size of lhs = 8:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), eq-{F}(V3,V1), P_f-{F}(V4,V5), P_s-{F}(V4,V6), eq-{F}(V5,V1), le-{F}(V6,V2) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #6: input, references = 4, size of lhs = 2:
% 0.37/0.59     #-{F} V0, #-{F} V1 | EXISTS V2: P_max-{T}(V0,V1,V2)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #7: input, references = 8, size of lhs = 1:
% 0.37/0.59     #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #8: input, references = 4, size of lhs = 0:
% 0.37/0.59     FALSE | EXISTS V0: P_a0-{T}(V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #9: input, references = 4, size of lhs = 0:
% 0.37/0.59     FALSE | EXISTS V0: P_a1-{T}(V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #10: input, references = 6, size of lhs = 1:
% 0.37/0.59     #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  number of initial rules = 11
% 0.37/0.59  
% 0.37/0.59  Simplifiers:
% 0.37/0.59  #11: unsound, references = 3, size of lhs = 3:
% 0.37/0.59     P_max-{F}(V0,V1,V2), P_max-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #12: unsound, references = 3, size of lhs = 3:
% 0.37/0.59     P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #13: unsound, references = 3, size of lhs = 3:
% 0.37/0.59     P_a0-{F}(V0), P_a0-{F}(V1), V0 == V1 | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #14: unsound, references = 3, size of lhs = 3:
% 0.37/0.59     P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #15: unsound, references = 3, size of lhs = 3:
% 0.37/0.59     P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  number of simplifiers = 5
% 0.37/0.59  
% 0.37/0.59  Learnt:
% 0.37/0.59  #19: mergings( V1 == V4; #16 ), references = 1, size of lhs = 7:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V6,V3) | eq-{T}(V3,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #22: mergings( V0 == V4, V4 == V1; #17 ), references = 1, size of lhs = 7:
% 0.37/0.59     P_a1-{F}(V0), P_a0-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V3,V2), P_s-{F}(V3,V4), le-{F}(V4,V5), P_f-{F}(V5,V2) | eq-{T}(V2,V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #28: mergings( V1 == V4; #25 ), references = 1, size of lhs = 8:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), eq-{F}(V2,V0), P_f-{F}(V3,V2), le-{F}(V4,V3), P_s-{F}(V5,V4), P_f-{F}(V5,V6), P_f-{F}(V7,V6) | eq-{T}(V6,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #31: mergings( V0 == V4, V4 == V1; #26 ), references = 1, size of lhs = 8:
% 0.37/0.59     P_a1-{F}(V0), P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), le-{F}(V3,V2), P_s-{F}(V4,V3), P_f-{F}(V4,V5), P_f-{F}(V6,V5) | eq-{T}(V5,V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #39: mergings( V0 == V5, V1 == V5, V5 == V4; #34 ), references = 3, size of lhs = 12:
% 0.37/0.59     P_a1-{F}(V0), P_a0-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V3,V2), le-{F}(V4,V3), P_s-{F}(V5,V4), P_f-{F}(V5,V6), P_f-{F}(V7,V6), P_f-{F}(V8,V6), P_s-{F}(V8,V9), le-{F}(V9,V10), P_f-{F}(V10,V2) | eq-{T}(V2,V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #43: mergings( V1 == V0, V0 == V4, V4 == V5; #35 ), references = 1, size of lhs = 12:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V3,V2), le-{F}(V4,V3), P_s-{F}(V5,V4), P_f-{F}(V5,V6), P_f-{F}(V7,V6), P_f-{F}(V8,V6), P_s-{F}(V8,V9), le-{F}(V9,V10), P_f-{F}(V10,V2) | eq-{T}(V2,V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #55: mergings( V2 == V3; #52 ), references = 2, size of lhs = 13:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), le-{F}(V5,V4), P_s-{F}(V6,V5), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V7), P_s-{F}(V9,V10), le-{F}(V10,V4) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #57: mergings( V2 == V3; #53 ), references = 1, size of lhs = 13:
% 0.37/0.59     P_a1-{F}(V0), P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), le-{F}(V5,V4), P_s-{F}(V6,V5), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V7), P_s-{F}(V9,V10), le-{F}(V10,V4) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #62: mergings( V1 == V0, V0 == V4; #58 ), references = 1, size of lhs = 13:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V3,V2), P_s-{F}(V3,V4), le-{F}(V4,V5), le-{F}(V6,V5), P_s-{F}(V7,V6), P_f-{F}(V7,V8), P_f-{F}(V9,V8), P_f-{F}(V10,V8), P_s-{F}(V10,V11), le-{F}(V11,V5) | eq-{T}(V2,V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #65: mergings( V0 == V4, V1 == V4; #59 ), references = 1, size of lhs = 13:
% 0.37/0.59     P_a1-{F}(V0), P_a0-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V3,V2), P_s-{F}(V3,V4), le-{F}(V4,V5), le-{F}(V6,V5), P_s-{F}(V7,V6), P_f-{F}(V7,V8), P_f-{F}(V9,V8), P_f-{F}(V10,V8), P_s-{F}(V10,V11), le-{F}(V11,V5) | eq-{T}(V2,V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #76: mergings( V6 == V7, V7 == V9, V2 == V4, V3 == V4; #70 ), references = 1, size of lhs = 6:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V3,V2), P_f-{F}(V4,V2), P_f-{F}(V5,V2) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #81: mergings( V2 == V4, V3 == V4; #77 ), references = 1, size of lhs = 2:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V0) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #97: mergings( V1 == V4; #95 ), references = 3, size of lhs = 8:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), eq-{F}(V2,V0), P_f-{F}(V3,V2), P_s-{F}(V3,V4), le-{F}(V4,V5), P_f-{F}(V5,V6), P_f-{F}(V7,V6) | eq-{T}(V6,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #104: mergings( V0 == V5, V1 == V4, V4 == V6; #100 ), references = 1, size of lhs = 17:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V7), P_s-{F}(V9,V10), le-{F}(V10,V11), P_f-{F}(V11,V12), P_f-{F}(V13,V12), P_f-{F}(V14,V3), P_s-{F}(V14,V15), le-{F}(V15,V16), P_f-{F}(V16,V12) | eq-{T}(V3,V1)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #108: mergings( V0 == V4; #106 ), references = 2, size of lhs = 8:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), eq-{F}(V2,V1), P_f-{F}(V3,V2), P_s-{F}(V3,V4), le-{F}(V4,V5), P_f-{F}(V5,V6), P_f-{F}(V7,V6) | eq-{T}(V6,V0)
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #123: mergings( V3 == V4, V4 == V6, V6 == V8, V2 == V5, V5 == V7, V7 == V9; #115 ), references = 2, size of lhs = 25:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V7), P_s-{F}(V9,V10), le-{F}(V10,V11), P_f-{F}(V12,V3), P_s-{F}(V12,V13), le-{F}(V13,V11), P_f-{F}(V14,V3), P_s-{F}(V14,V15), le-{F}(V15,V16), P_f-{F}(V16,V17), P_f-{F}(V18,V17), P_f-{F}(V19,V17), P_s-{F}(V19,V20), le-{F}(V20,V11), P_f-{F}(V21,V3), P_s-{F}(V21,V22), le-{F}(V22,V11) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #130: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V2 == V5, V5 == V9; #116 ), references = 2, size of lhs = 25:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V7), P_s-{F}(V9,V10), le-{F}(V10,V11), P_f-{F}(V12,V3), P_s-{F}(V12,V13), le-{F}(V13,V11), P_f-{F}(V14,V3), P_s-{F}(V14,V15), le-{F}(V15,V16), P_f-{F}(V16,V17), P_f-{F}(V18,V17), P_f-{F}(V19,V17), P_s-{F}(V19,V20), le-{F}(V20,V11), P_f-{F}(V21,V3), P_s-{F}(V21,V22), le-{F}(V22,V11) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #161: exists( #6, #157 ), references = 1, size of lhs = 21:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V7), P_s-{F}(V9,V10), P_f-{F}(V11,V3), P_s-{F}(V11,V12), P_f-{F}(V13,V3), P_s-{F}(V13,V14), le-{F}(V14,V15), P_f-{F}(V15,V16), P_f-{F}(V17,V16), P_f-{F}(V18,V16), P_s-{F}(V18,V10), P_f-{F}(V19,V3), P_s-{F}(V19,V12) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #162: exists( #6, #158 ), references = 1, size of lhs = 21:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V7), P_s-{F}(V9,V10), P_f-{F}(V11,V3), P_s-{F}(V11,V12), P_f-{F}(V13,V3), P_s-{F}(V13,V14), le-{F}(V14,V15), P_f-{F}(V15,V16), P_f-{F}(V17,V16), P_f-{F}(V18,V16), P_s-{F}(V18,V10), P_f-{F}(V19,V3), P_s-{F}(V19,V12) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #166: mergings( V9 == V16; #163 ), references = 1, size of lhs = 18:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V3), P_s-{F}(V9,V10), P_f-{F}(V11,V3), P_s-{F}(V11,V12), le-{F}(V12,V13), P_f-{F}(V13,V7), P_f-{F}(V14,V7), P_f-{F}(V15,V7), P_f-{F}(V16,V3), P_s-{F}(V16,V10) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #168: mergings( V9 == V16; #164 ), references = 1, size of lhs = 18:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V3), P_s-{F}(V9,V10), P_f-{F}(V11,V3), P_s-{F}(V11,V12), le-{F}(V12,V13), P_f-{F}(V13,V7), P_f-{F}(V14,V7), P_f-{F}(V15,V7), P_f-{F}(V16,V3), P_s-{F}(V16,V10) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #171: exists( #7, #163 ), references = 2, size of lhs = 13:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V7,V3), P_s-{F}(V7,V8), P_f-{F}(V9,V3), P_s-{F}(V9,V10), le-{F}(V10,V6), P_f-{F}(V11,V3), P_s-{F}(V11,V8) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #172: exists( #7, #164 ), references = 1, size of lhs = 13:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V6), P_f-{F}(V7,V3), P_s-{F}(V7,V8), P_f-{F}(V9,V3), P_s-{F}(V9,V10), le-{F}(V10,V6), P_f-{F}(V11,V3), P_s-{F}(V11,V8) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #177: exists( #10, #173 ), references = 1, size of lhs = 4:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1), P_f-{F}(V2,V3), P_f-{F}(V4,V3) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #180: exists( #7, #175 ), references = 1, size of lhs = 2:
% 0.37/0.59     P_a0-{F}(V0), P_a1-{F}(V1) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #183: exists( #9, #178 ), references = 1, size of lhs = 1:
% 0.37/0.59     P_a0-{F}(V0) | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  #186: exists( #8, #181 ), references = 1, size of lhs = 0:
% 0.37/0.59     FALSE | FALSE
% 0.37/0.59        (used 0 times, uses = {})
% 0.37/0.59  
% 0.37/0.59  number of learnt formulas = 27
% 0.37/0.59  
% 0.37/0.59  
% 0.37/0.59  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.59  
% 0.37/0.59  randbase = 1
%------------------------------------------------------------------------------