TSTP Solution File: SWV003-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n004.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 06:20:51 EDT 2022

% Result   : Unsatisfiable 0.46s 0.66s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n004.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 15:48:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.46/0.66  GeoParameters:
% 0.46/0.66  
% 0.46/0.66  tptp_input =     1
% 0.46/0.66  tptp_output =    0
% 0.46/0.66  nonempty =       1
% 0.46/0.66  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.66  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.46/0.66  
% 0.46/0.66  
% 0.46/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.66  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.66  
% 0.46/0.66  RuleSystem INPUT:
% 0.46/0.66  
% 0.46/0.66  Initial Rules:
% 0.46/0.66  #0: input, references = 4, size of lhs = 3:
% 0.46/0.66     P_successor-{F}(V0,V1), P_predecessor-{F}(V1,V2), V2 == V0 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #1: input, references = 4, size of lhs = 3:
% 0.46/0.66     P_predecessor-{F}(V0,V1), P_successor-{F}(V1,V2), V2 == V0 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #2: input, references = 3, size of lhs = 3:
% 0.46/0.66     P_predecessor-{F}(V0,V3), P_predecessor-{F}(V1,V3), V0 == V1 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #3: input, references = 3, size of lhs = 3:
% 0.46/0.66     P_successor-{F}(V0,V3), P_successor-{F}(V1,V3), V0 == V1 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #4: input, references = 3, size of lhs = 1:
% 0.46/0.66     P_predecessor-{F}(V0,V1) | less_than-{T}(V1,V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #5: input, references = 3, size of lhs = 1:
% 0.46/0.66     P_successor-{F}(V0,V1) | less_than-{T}(V0,V1)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #6: input, references = 4, size of lhs = 2:
% 0.46/0.66     less_than-{F}(V0,V1), less_than-{F}(V2,V0) | less_than-{T}(V2,V1)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #7: input, references = 5, size of lhs = 3:
% 0.46/0.66     #-{F} V0, #-{F} V1, V0 == V1 | less_than-{T}(V0,V1), less_than-{T}(V1,V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #8: input, references = 3, size of lhs = 1:
% 0.46/0.66     less_than-{F}(V0,V0) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #9: input, references = 4, size of lhs = 2:
% 0.46/0.66     less_than-{F}(V0,V1), less_than-{F}(V1,V0) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #10: input, references = 3, size of lhs = 3:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), less_than-{F}(V0,V1) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #11: input, references = 4, size of lhs = 3:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2) | less_than-{T}(V2,V1)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #12: input, references = 3, size of lhs = 5:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V2,V3) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #13: input, references = 4, size of lhs = 4:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3) | less_than-{T}(V3,V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #14: input, references = 3, size of lhs = 6:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5) | less_than-{T}(V4,V5)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #15: input, references = 3, size of lhs = 9:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_a-{F}(V6,V7), less_than-{F}(V6,V1), less_than-{F}(V7,V5) | less_than-{T}(V6,V3)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #16: input, references = 3, size of lhs = 12:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_a-{F}(V7,V8), less_than-{F}(V6,V3), P_a-{F}(V9,V10), less_than-{F}(V10,V8) | less_than-{T}(V9,V3), less_than-{T}(V0,V9)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #17: input, references = 3, size of lhs = 15:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_a-{F}(V7,V8), P_a-{F}(V9,V10), P_predecessor-{F}(V9,V11), P_a-{F}(V11,V12), less_than-{F}(V6,V9), less_than-{F}(V9,V3), less_than-{F}(V10,V12) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #18: input, references = 4, size of lhs = 9:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_a-{F}(V7,V8) | less_than-{T}(V1,V3)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #19: input, references = 5, size of lhs = 1:
% 0.46/0.66     #-{F} V0 | EXISTS V1: P_predecessor-{T}(V0,V1)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #20: input, references = 4, size of lhs = 1:
% 0.46/0.66     #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #21: input, references = 4, size of lhs = 0:
% 0.46/0.66     FALSE | EXISTS V0: P_n-{T}(V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #22: input, references = 4, size of lhs = 0:
% 0.46/0.66     FALSE | EXISTS V0: P_j-{T}(V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #23: input, references = 5, size of lhs = 0:
% 0.46/0.66     FALSE | EXISTS V0: P_k-{T}(V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #24: input, references = 5, size of lhs = 0:
% 0.46/0.66     FALSE | EXISTS V0: P_i-{T}(V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #25: input, references = 6, size of lhs = 1:
% 0.46/0.66     #-{F} V0 | EXISTS V1: P_a-{T}(V0,V1)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #26: input, references = 4, size of lhs = 0:
% 0.46/0.66     FALSE | EXISTS V0: P_one-{T}(V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  number of initial rules = 27
% 0.46/0.66  
% 0.46/0.66  Simplifiers:
% 0.46/0.66  #27: unsound, references = 3, size of lhs = 3:
% 0.46/0.66     P_predecessor-{F}(V0,V1), P_predecessor-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #28: unsound, references = 3, size of lhs = 3:
% 0.46/0.66     P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #29: unsound, references = 3, size of lhs = 3:
% 0.46/0.66     P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #30: unsound, references = 3, size of lhs = 3:
% 0.46/0.66     P_j-{F}(V0), P_j-{F}(V1), V0 == V1 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #31: unsound, references = 3, size of lhs = 3:
% 0.46/0.66     P_k-{F}(V0), P_k-{F}(V1), V0 == V1 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #32: unsound, references = 3, size of lhs = 3:
% 0.46/0.66     P_i-{F}(V0), P_i-{F}(V1), V0 == V1 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #33: unsound, references = 3, size of lhs = 3:
% 0.46/0.66     P_a-{F}(V0,V1), P_a-{F}(V0,V3), V1 == V3 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #34: unsound, references = 3, size of lhs = 3:
% 0.46/0.66     P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  number of simplifiers = 8
% 0.46/0.66  
% 0.46/0.66  Learnt:
% 0.46/0.66  #46: exists( #19, #0 ), references = 1, size of lhs = 1:
% 0.46/0.66     P_successor-{F}(V0,V1) | P_predecessor-{T}(V1,V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #49: exists( #20, #1 ), references = 1, size of lhs = 1:
% 0.46/0.66     P_predecessor-{F}(V0,V1) | P_successor-{T}(V1,V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #68: exists( #25, #64 ), references = 1, size of lhs = 9:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V3,V1), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #70: exists( #25, #66 ), references = 1, size of lhs = 8:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V3,V1), P_a-{F}(V1,V4), P_one-{F}(V5), P_predecessor-{F}(V3,V6) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #72: exists( #19, #69 ), references = 1, size of lhs = 7:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V3,V1), P_a-{F}(V1,V4), P_one-{F}(V5) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #74: exists( #25, #71 ), references = 1, size of lhs = 6:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V3,V1), P_one-{F}(V4) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #76: exists( #26, #73 ), references = 4, size of lhs = 5:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V3,V1) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #82: mergings( V1 == V4, V4 == V2, V3 == V5; #78 ), references = 1, size of lhs = 3:
% 0.46/0.66     P_j-{F}(V0), P_n-{F}(V0), P_k-{F}(V1) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #86: mergings( V1 == V3, V3 == V2; #83 ), references = 1, size of lhs = 2:
% 0.46/0.66     P_j-{F}(V0), P_n-{F}(V0) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #106: disj( #7, input ), references = 1, size of lhs = 3:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), V0 == V1 | less_than-{T}(V1,V0)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #123: disj( #7, input ), references = 1, size of lhs = 5:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), V2 == V3 | less_than-{T}(V3,V2)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #130: mergings( V1 == V4, V2 == V5, V3 == V6; #126 ), references = 1, size of lhs = 4:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), less_than-{F}(V2,V1) | P_i-{T}(V2)
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #138: mergings( V1 == V2, V2 == V4, V4 == V5, V3 == V6; #133 ), references = 1, size of lhs = 2:
% 0.46/0.66     P_n-{F}(V0), P_j-{F}(V1) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #143: mergings( V1 == V2, V2 == V3, V3 == V4; #139 ), references = 1, size of lhs = 1:
% 0.46/0.66     P_n-{F}(V0) | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  #145: exists( #21, #139 ), references = 1, size of lhs = 0:
% 0.46/0.66     FALSE | FALSE
% 0.46/0.66        (used 0 times, uses = {})
% 0.46/0.66  
% 0.46/0.66  number of learnt formulas = 15
% 0.46/0.66  
% 0.46/0.66  
% 0.46/0.66  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.66  
% 0.46/0.66  randbase = 1
%------------------------------------------------------------------------------