TSTP Solution File: PUZ131+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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 06:14:30 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n023.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 07:26:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  GeoParameters:
% 0.12/0.35  
% 0.12/0.35  tptp_input =     1
% 0.12/0.35  tptp_output =    0
% 0.12/0.35  nonempty =       1
% 0.12/0.35  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  RuleSystem INPUT:
% 0.12/0.35  
% 0.12/0.35  Initial Rules:
% 0.12/0.35  #0: input, references = 3, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #1: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp0-{F}(V0) | student-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #2: input, references = 3, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #3: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp1-{F}(V0) | professor-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #4: input, references = 3, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #5: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp2-{F}(V0) | course-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #6: input, references = 4, size of lhs = 1:
% 0.12/0.35     P_michael-{F}(V0) | student-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #7: input, references = 4, size of lhs = 2:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1) | professor-{T}(V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #8: input, references = 4, size of lhs = 3:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2) | course-{T}(V2)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #9: input, references = 3, size of lhs = 5:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), P_coordinatorof-{F}(V3,V4), course-{F}(V3) | professor-{T}(V4)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #10: input, references = 3, size of lhs = 4:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), student-{F}(V3) | EXISTS V4: pppp3-{T}(V3,V4)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #11: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp3-{F}(V0,V1) | enrolled-{T}(V0,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #12: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp3-{F}(V0,V1) | course-{T}(V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #13: input, references = 3, size of lhs = 4:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), professor-{F}(V3) | EXISTS V4: pppp4-{T}(V3,V4)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #14: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp4-{F}(V0,V1) | teaches-{T}(V0,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #15: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp4-{F}(V0,V1) | course-{T}(V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #16: input, references = 3, size of lhs = 4:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), course-{F}(V3) | EXISTS V4: pppp5-{T}(V3,V4)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #17: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp5-{F}(V0,V1) | enrolled-{T}(V1,V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #18: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp5-{F}(V0,V1) | student-{T}(V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #19: input, references = 3, size of lhs = 4:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), course-{F}(V3) | EXISTS V4: pppp6-{T}(V3,V4)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #20: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp6-{F}(V0,V1) | teaches-{T}(V1,V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #21: input, references = 3, size of lhs = 1:
% 0.12/0.35     pppp6-{F}(V0,V1) | professor-{T}(V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #22: input, references = 4, size of lhs = 5:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), P_coordinatorof-{F}(V3,V4), course-{F}(V3) | teaches-{T}(V4,V3)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #23: input, references = 4, size of lhs = 8:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), course-{F}(V3), student-{F}(V4), enrolled-{F}(V4,V3), professor-{F}(V5), teaches-{F}(V5,V3) | taughtby-{T}(V4,V5)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #24: input, references = 4, size of lhs = 3:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2) | enrolled-{T}(V0,V2)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #25: input, references = 4, size of lhs = 5:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), P_coordinatorof-{F}(V2,V3), V3 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #26: input, references = 4, size of lhs = 5:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2), P_coordinatorof-{F}(V2,V3), taughtby-{F}(V0,V1) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #27: input, references = 4, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_michael-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #28: input, references = 4, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_victor-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #29: input, references = 4, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_csc410-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #30: input, references = 4, size of lhs = 1:
% 0.12/0.35     #-{F} V0 | EXISTS V1: P_coordinatorof-{T}(V0,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of initial rules = 31
% 0.12/0.35  
% 0.12/0.35  Simplifiers:
% 0.12/0.35  #31: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_michael-{F}(V0), P_michael-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #32: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_victor-{F}(V0), P_victor-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #33: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_csc410-{F}(V0), P_csc410-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #34: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_coordinatorof-{F}(V0,V1), P_coordinatorof-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #35: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #36: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #37: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #38: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #39: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #40: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #41: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of simplifiers = 11
% 0.12/0.35  
% 0.12/0.35  Learnt:
% 0.12/0.35  #45: exists( #30, #25 ), references = 2, size of lhs = 3:
% 0.12/0.35     P_michael-{F}(V0), P_victor-{F}(V1), P_csc410-{F}(V2) | P_coordinatorof-{T}(V2,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #64: mergings( V1 == V4, V4 == V5, V5 == V7, V7 == V10, V2 == V3, V3 == V6, V6 == V8, V8 == V9; #55 ), references = 2, size of lhs = 4:
% 0.12/0.35     professor-{F}(V0), P_victor-{F}(V0), student-{F}(V1), P_michael-{F}(V1) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #68: mergings( V1 == V2; #66 ), references = 2, size of lhs = 2:
% 0.12/0.35     student-{F}(V0), P_michael-{F}(V0) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #71: exists( #27, #69 ), references = 1, size of lhs = 0:
% 0.12/0.35     FALSE | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of learnt formulas = 4
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  randbase = 1
%------------------------------------------------------------------------------