TSTP Solution File: SEU148+3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU148+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n014.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 06:17:19 EDT 2022

% Result   : Theorem 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU148+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n014.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 18:57:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  GeoParameters:
% 0.19/0.45  
% 0.19/0.45  tptp_input =     1
% 0.19/0.45  tptp_output =    0
% 0.19/0.45  nonempty =       1
% 0.19/0.45  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  
% 0.19/0.45  RuleSystem INPUT:
% 0.19/0.45  
% 0.19/0.45  Initial Rules:
% 0.19/0.45  #0: input, references = 3, size of lhs = 2:
% 0.19/0.45     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #1: input, references = 5, size of lhs = 1:
% 0.19/0.45     P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #2: input, references = 3, size of lhs = 3:
% 0.19/0.45     P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #3: input, references = 5, size of lhs = 3:
% 0.19/0.45     pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #4: input, references = 4, size of lhs = 1:
% 0.19/0.45     pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #5: input, references = 5, size of lhs = 2:
% 0.19/0.45     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp7-{T}(V0,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #6: input, references = 4, size of lhs = 1:
% 0.19/0.45     pppp7-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #7: input, references = 3, size of lhs = 2:
% 0.19/0.45     pppp2-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #8: input, references = 4, size of lhs = 2:
% 0.19/0.45     pppp2-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #9: input, references = 3, size of lhs = 1:
% 0.19/0.45     P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #10: input, references = 4, size of lhs = 2:
% 0.19/0.45     P_empty_set-{F}(V0), P_singleton-{F}(V1,V0) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #11: input, references = 4, size of lhs = 3:
% 0.19/0.45     P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), subset-{F}(V1,V3) | pppp1-{T}(V1,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #12: input, references = 3, size of lhs = 3:
% 0.19/0.45     P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), pppp1-{F}(V1,V2) | subset-{T}(V1,V3)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #13: input, references = 4, size of lhs = 5:
% 0.19/0.45     P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), pppp1-{F}(V1,V2), V1 == V0, V1 == V3 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #14: input, references = 3, size of lhs = 2:
% 0.19/0.45     P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | pppp1-{T}(V0,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #15: input, references = 3, size of lhs = 2:
% 0.19/0.45     P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | pppp1-{T}(V3,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #16: input, references = 3, size of lhs = 1:
% 0.19/0.45     P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #17: input, references = 3, size of lhs = 1:
% 0.19/0.45     pppp3-{F}(V0) | empty-{T}(V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #18: input, references = 3, size of lhs = 1:
% 0.19/0.45     P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #19: input, references = 3, size of lhs = 2:
% 0.19/0.45     pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #20: input, references = 3, size of lhs = 2:
% 0.19/0.45     P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #21: input, references = 4, size of lhs = 1:
% 0.19/0.45     P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #22: input, references = 4, size of lhs = 1:
% 0.19/0.45     pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #23: input, references = 4, size of lhs = 3:
% 0.19/0.45     pppp5-{F}(V1,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V1,V3) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #24: input, references = 4, size of lhs = 3:
% 0.19/0.45     pppp5-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V1,V3) | subset-{T}(V2,V3)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #25: input, references = 5, size of lhs = 1:
% 0.19/0.45     #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #26: input, references = 4, size of lhs = 0:
% 0.19/0.45     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  number of initial rules = 27
% 0.19/0.45  
% 0.19/0.45  Simplifiers:
% 0.19/0.45  #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.45     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  number of simplifiers = 8
% 0.19/0.45  
% 0.19/0.45  Learnt:
% 0.19/0.45  #36: disj( #5, input ), references = 1, size of lhs = 3:
% 0.19/0.45     P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp7-{T}(V0,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #39: disj( #5, input ), references = 1, size of lhs = 3:
% 0.19/0.45     in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp7-{T}(V2,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #45: exists( #6, #43 ), references = 1, size of lhs = 2:
% 0.19/0.45     pppp7-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp2-{T}(V0,V1,V0), pppp2-{T}(V0,V1,V2)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #53: mergings( V2 == V3; #51 ), references = 1, size of lhs = 4:
% 0.19/0.45     P_empty_set-{F}(V0), pppp5-{F}(V1,V2), P_singleton-{F}(V1,V3), V3 == V0 | P_singleton-{T}(V2,V3)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #58: mergings( V2 == V3; #56 ), references = 2, size of lhs = 5:
% 0.19/0.45     pppp6-{F}(V0), P_empty_set-{F}(V1), P_singleton-{F}(V0,V2), V2 == V1, in-{F}(V3,V2) | pppp5-{T}(V0,V3)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #69: exists( #25, #67 ), references = 1, size of lhs = 2:
% 0.19/0.45     pppp6-{F}(V0), P_empty_set-{F}(V1) | P_singleton-{T}(V0,V1)
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #73: mergings( V0 == V2; #71 ), references = 1, size of lhs = 1:
% 0.19/0.45     P_empty_set-{F}(V0) | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  #75: exists( #26, #71 ), references = 1, size of lhs = 0:
% 0.19/0.45     FALSE | FALSE
% 0.19/0.45        (used 0 times, uses = {})
% 0.19/0.45  
% 0.19/0.45  number of learnt formulas = 8
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  
% 0.19/0.45  randbase = 1
%------------------------------------------------------------------------------