TSTP Solution File: KRS162+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% 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 06:07:35 EDT 2022

% Result   : Theorem 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % 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 10:28:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.41  GeoParameters:
% 0.19/0.41  
% 0.19/0.41  tptp_input =     1
% 0.19/0.41  tptp_output =    0
% 0.19/0.41  nonempty =       1
% 0.19/0.41  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  
% 0.19/0.41  RuleSystem INPUT:
% 0.19/0.41  
% 0.19/0.41  Initial Rules:
% 0.19/0.41  #0: input, references = 4, size of lhs = 1:
% 0.19/0.41     #-{F} V0 | cowlThing-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #1: input, references = 4, size of lhs = 1:
% 0.19/0.41     cowlNothing-{F}(V0) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #2: input, references = 5, size of lhs = 2:
% 0.19/0.41     xsd_string-{F}(V0), xsd_integer-{F}(V0) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #3: input, references = 4, size of lhs = 1:
% 0.19/0.41     #-{F} V0 | xsd_string-{T}(V0), xsd_integer-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #4: input, references = 7, size of lhs = 1:
% 0.19/0.41     rp-{F}(V1,V0) | cA-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #5: input, references = 7, size of lhs = 1:
% 0.19/0.41     rq-{F}(V1,V0) | cB-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #6: input, references = 7, size of lhs = 2:
% 0.19/0.41     cB-{F}(V0), cA-{F}(V0) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #7: input, references = 6, size of lhs = 1:
% 0.19/0.41     rq-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #8: input, references = 5, size of lhs = 1:
% 0.19/0.41     rp-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #9: input, references = 4, size of lhs = 0:
% 0.19/0.41     FALSE | pppp8-{T}(), pppp9-{T}(), pppp10-{T}()
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #10: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp8-{F}() | EXISTS V0: pppp0-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #11: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp9-{F}() | EXISTS V0: pppp1-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #12: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp10-{F}() | EXISTS V0: pppp7-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #13: input, references = 4, size of lhs = 16:
% 0.19/0.41     pppp7-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), rr-{F}(V0,V3), rr-{F}(V0,V4), rr-{F}(V0,V5), V2 == V1, V3 == V2, V3 == V1, V4 == V3, V4 == V2, V4 == V1, V5 == V4, V5 == V3, V5 == V2, V5 == V1 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #14: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #15: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp7-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #16: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V2,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #17: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp6-{F}(V0,V1) | rq-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #18: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp5-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V3,V1,V2)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #19: input, references = 3, size of lhs = 1:
% 0.19/0.41     pppp5-{F}(V0,V2,V2) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #20: input, references = 5, size of lhs = 1:
% 0.19/0.41     pppp5-{F}(V0,V1,V2) | rq-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #21: input, references = 3, size of lhs = 1:
% 0.19/0.41     pppp4-{F}(V0,V3,V2,V3) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #22: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp4-{F}(V0,V2,V2,V3) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #23: input, references = 5, size of lhs = 1:
% 0.19/0.41     pppp4-{F}(V0,V1,V2,V3) | rq-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #24: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V2,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #25: input, references = 5, size of lhs = 1:
% 0.19/0.41     pppp3-{F}(V0,V1) | rp-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #26: input, references = 4, size of lhs = 1:
% 0.19/0.41     pppp2-{F}(V0,V2,V2) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #27: input, references = 5, size of lhs = 1:
% 0.19/0.41     pppp2-{F}(V0,V1,V2) | rp-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #28: input, references = 4, size of lhs = 2:
% 0.19/0.41     pppp1-{F}(V0), xsd_string-{F}(V0) | xsd_integer-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #29: input, references = 4, size of lhs = 2:
% 0.19/0.41     pppp1-{F}(V0), xsd_integer-{F}(V0) | xsd_string-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #30: input, references = 4, size of lhs = 2:
% 0.19/0.41     pppp0-{F}(V0), cowlThing-{F}(V0) | cowlNothing-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  number of initial rules = 31
% 0.19/0.41  
% 0.19/0.41  Simplifiers:
% 0.19/0.41  #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     cowlNothing-{F}(V0), cowlNothing-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     rp-{F}(V0,V1), rp-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     rq-{F}(V0,V1), rq-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     rr-{F}(V0,V1), rr-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #48: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #49: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #50: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #51: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  number of simplifiers = 21
% 0.19/0.41  
% 0.19/0.41  Learnt:
% 0.19/0.41  #54: disj( #3, #29+#2 ), references = 1, size of lhs = 1:
% 0.19/0.41     pppp1-{F}(V0) | xsd_string-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #58: exists( #11, #56 ), references = 1, size of lhs = 1:
% 0.19/0.41     pppp9-{F}() | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #62: exists( #10, #60 ), references = 1, size of lhs = 1:
% 0.19/0.41     pppp8-{F}() | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #64: disj( #9, exists( #10, #60 ), exists( #11, #56 ) ), references = 1, size of lhs = 0:
% 0.19/0.41     FALSE | pppp10-{T}()
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #72: exists( #18, #70 ), references = 1, size of lhs = 12:
% 0.19/0.41     pppp7-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), V2 == V1, rr-{F}(V0,V3), V3 == V2, V3 == V1, rr-{F}(V0,V4), V4 == V3, V4 == V2, V4 == V1, pppp5-{F}(V0,V5,V6) | pppp4-{T}(V0,V1,V5,V6), pppp4-{T}(V0,V2,V5,V6), pppp4-{T}(V0,V3,V5,V6), pppp4-{T}(V0,V4,V5,V6)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #76: disj( #71, #23+#5+#6, #23+#5+#6 ), references = 1, size of lhs = 14:
% 0.19/0.41     pppp7-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), V2 == V1, cA-{F}(V2), rr-{F}(V0,V3), V3 == V2, V3 == V1, rr-{F}(V0,V4), V4 == V3, V4 == V2, V4 == V1, cA-{F}(V4), pppp5-{F}(V0,V5,V6) | pppp4-{T}(V0,V1,V5,V6), pppp4-{T}(V0,V3,V5,V6)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #78: disj( #75, input ), references = 1, size of lhs = 14:
% 0.19/0.41     pppp7-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), V2 == V1, cA-{F}(V2), rr-{F}(V0,V3), V3 == V2, V3 == V1, rr-{F}(V0,V4), V4 == V3, V4 == V2, V4 == V1, cA-{F}(V4), pppp5-{F}(V0,V5,V1) | pppp4-{T}(V0,V3,V5,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #84: exists( #24, #82 ), references = 1, size of lhs = 10:
% 0.19/0.41     pppp7-{F}(V0), pppp3-{F}(V0,V1), rr-{F}(V0,V2), rr-{F}(V0,V3), V3 == V2, pppp5-{F}(V0,V3,V2), rr-{F}(V0,V4), V4 == V3, V4 == V2, cA-{F}(V4) | pppp2-{T}(V0,V2,V1), pppp2-{T}(V0,V3,V1), pppp2-{T}(V0,V4,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #88: disj( #83, #27+#4+#6, #27+#4+#6 ), references = 1, size of lhs = 12:
% 0.19/0.41     pppp7-{F}(V0), pppp3-{F}(V0,V1), rr-{F}(V0,V2), cB-{F}(V2), rr-{F}(V0,V3), V3 == V2, pppp5-{F}(V0,V3,V2), cB-{F}(V3), rr-{F}(V0,V4), V4 == V3, V4 == V2, cA-{F}(V4) | pppp2-{T}(V0,V4,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #94: exists( #16, #92 ), references = 1, size of lhs = 8:
% 0.19/0.41     pppp7-{F}(V0), pppp6-{F}(V0,V1), rr-{F}(V0,V1), cB-{F}(V1), pppp3-{F}(V0,V2), V2 == V1, rr-{F}(V0,V2), cA-{F}(V2) | pppp5-{T}(V0,V2,V1), pppp5-{T}(V0,V1,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #96: disj( #93, input ), references = 1, size of lhs = 8:
% 0.19/0.41     pppp7-{F}(V0), pppp6-{F}(V0,V1), rr-{F}(V0,V1), cB-{F}(V1), pppp3-{F}(V0,V2), V2 == V1, rr-{F}(V0,V2), cA-{F}(V2) | pppp5-{T}(V0,V2,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #104: exists( #15, #102 ), references = 1, size of lhs = 4:
% 0.19/0.41     pppp7-{F}(V0), pppp6-{F}(V0,V1), rr-{F}(V0,V1), cB-{F}(V1) | pppp3-{T}(V0,V1)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #112: exists( #14, #110 ), references = 1, size of lhs = 1:
% 0.19/0.41     pppp7-{F}(V0) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #114: exists( #12, #111 ), references = 1, size of lhs = 1:
% 0.19/0.41     pppp10-{F}() | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #116: #63+#113, references = 1, size of lhs = 0:
% 0.19/0.41     FALSE | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  number of learnt formulas = 15
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  
% 0.19/0.41  randbase = 1
%------------------------------------------------------------------------------