TSTP Solution File: PUZ047+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n010.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 06:14:23 EDT 2022

% Result   : Theorem 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Jul 22 06:58:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  GeoParameters:
% 0.19/0.46  
% 0.19/0.46  tptp_input =     1
% 0.19/0.46  tptp_output =    0
% 0.19/0.46  nonempty =       1
% 0.19/0.46  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  
% 0.19/0.46  RuleSystem INPUT:
% 0.19/0.46  
% 0.19/0.46  Initial Rules:
% 0.19/0.46  #0: input, references = 4, size of lhs = 3:
% 0.19/0.46     P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2) | pppp0-{T}(V0,V1,V2)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #1: input, references = 4, size of lhs = 2:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), p-{F}(V2,V2,V2,V2,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #2: input, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_cabbage-{F}(V3,V4), p-{F}(V2,V0,V2,V2,V3) | p-{T}(V0,V0,V2,V0,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #3: input, references = 4, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_cabbage-{F}(V3,V4), p-{F}(V0,V0,V2,V0,V3) | p-{T}(V2,V0,V2,V2,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #4: input, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_cabbage-{F}(V3,V4), p-{F}(V2,V2,V0,V2,V3) | p-{T}(V0,V2,V0,V0,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #5: input, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_cabbage-{F}(V3,V4), p-{F}(V0,V2,V0,V0,V3) | p-{T}(V2,V2,V0,V2,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #6: input, references = 4, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_goat-{F}(V5,V6), p-{F}(V2,V3,V2,V4,V5) | p-{T}(V0,V3,V0,V4,V6)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #7: input, references = 5, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_goat-{F}(V5,V6), p-{F}(V0,V3,V0,V4,V5) | p-{T}(V2,V3,V2,V4,V6)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #8: input, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_wolf-{F}(V3,V4), p-{F}(V2,V2,V2,V0,V3) | p-{T}(V0,V0,V2,V0,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #9: input, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_wolf-{F}(V3,V4), p-{F}(V0,V0,V2,V0,V3) | p-{T}(V2,V2,V2,V0,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #10: input, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_wolf-{F}(V3,V4), p-{F}(V2,V2,V0,V2,V3) | p-{T}(V0,V0,V0,V2,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #11: input, references = 4, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_take_wolf-{F}(V3,V4), p-{F}(V0,V0,V0,V2,V3) | p-{T}(V2,V2,V0,V2,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #12: input, references = 4, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_go_alone-{F}(V3,V4), p-{F}(V2,V0,V2,V0,V3) | p-{T}(V0,V0,V2,V0,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #13: input, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_go_alone-{F}(V3,V4), p-{F}(V0,V0,V2,V0,V3) | p-{T}(V2,V0,V2,V0,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #14: input, references = 4, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_go_alone-{F}(V3,V4), p-{F}(V2,V2,V0,V2,V3) | p-{T}(V0,V2,V0,V2,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #15: input, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), P_go_alone-{F}(V3,V4), p-{F}(V0,V2,V0,V2,V3) | p-{T}(V2,V2,V0,V2,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #16: input, references = 4, size of lhs = 1:
% 0.19/0.46     pppp0-{F}(V0,V1,V2) | p-{T}(V0,V0,V0,V0,V1)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #17: input, references = 4, size of lhs = 0:
% 0.19/0.46     FALSE | EXISTS V0: P_south-{T}(V0)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #18: input, references = 4, size of lhs = 0:
% 0.19/0.46     FALSE | EXISTS V0: P_start-{T}(V0)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #19: input, references = 4, size of lhs = 0:
% 0.19/0.46     FALSE | EXISTS V0: P_north-{T}(V0)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #20: input, references = 5, size of lhs = 1:
% 0.19/0.46     #-{F} V0 | EXISTS V1: P_go_alone-{T}(V0,V1)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #21: input, references = 4, size of lhs = 1:
% 0.19/0.46     #-{F} V0 | EXISTS V1: P_take_wolf-{T}(V0,V1)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #22: input, references = 6, size of lhs = 1:
% 0.19/0.46     #-{F} V0 | EXISTS V1: P_take_goat-{T}(V0,V1)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #23: input, references = 4, size of lhs = 1:
% 0.19/0.46     #-{F} V0 | EXISTS V1: P_take_cabbage-{T}(V0,V1)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  number of initial rules = 24
% 0.19/0.46  
% 0.19/0.46  Simplifiers:
% 0.19/0.46  #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_south-{F}(V0), P_south-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_start-{F}(V0), P_start-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_north-{F}(V0), P_north-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_go_alone-{F}(V0,V1), P_go_alone-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_take_wolf-{F}(V0,V1), P_take_wolf-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_take_goat-{F}(V0,V1), P_take_goat-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_take_cabbage-{F}(V0,V1), P_take_cabbage-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  number of simplifiers = 10
% 0.19/0.46  
% 0.19/0.46  Learnt:
% 0.19/0.46  #62: mergings( V2 == V5, V4 == V6; #59 ), references = 2, size of lhs = 2:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), p-{F}(V0,V2,V0,V2,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #70: mergings( V4 == V5; #68 ), references = 1, size of lhs = 2:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), p-{F}(V2,V2,V0,V2,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #75: mergings( V4 == V5, V5 == V6; #72 ), references = 1, size of lhs = 2:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), p-{F}(V0,V0,V0,V2,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #82: mergings( V3 == V6, V6 == V7, V7 == V8, V4 == V5; #77 ), references = 2, size of lhs = 2:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), p-{F}(V2,V0,V2,V2,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #90: mergings( V4 == V5; #88 ), references = 1, size of lhs = 2:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), p-{F}(V0,V0,V2,V0,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #95: mergings( V4 == V5, V5 == V6; #92 ), references = 1, size of lhs = 2:
% 0.19/0.46     pppp0-{F}(V0,V1,V2), p-{F}(V2,V0,V2,V0,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #102: mergings( V2 == V3, V4 == V6, V6 == V7, V7 == V8; #97 ), references = 1, size of lhs = 2:
% 0.19/0.46     p-{F}(V0,V0,V0,V0,V1), pppp0-{F}(V0,V2,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #106: exists( #19, #104 ), references = 1, size of lhs = 2:
% 0.19/0.46     P_south-{F}(V0), P_start-{F}(V1) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #108: exists( #18, #105 ), references = 1, size of lhs = 1:
% 0.19/0.46     P_south-{F}(V0) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #110: exists( #17, #107 ), references = 1, size of lhs = 0:
% 0.19/0.46     FALSE | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  number of learnt formulas = 10
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  
% 0.19/0.46  randbase = 1
%------------------------------------------------------------------------------