TSTP Solution File: SET899+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n007.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 06:16:55 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
% 0.11/0.11  % Problem  : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n007.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 : Sat Jul 23 01:21:42 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 = 1:
% 0.12/0.35     #-{F} V0 | subset-{T}(V0,V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #1: input, references = 3, size of lhs = 2:
% 0.12/0.35     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 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: pppp0-{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     pppp0-{F}(V0) | empty-{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: pppp1-{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 = 2:
% 0.12/0.35     pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #6: input, references = 4, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: pppp4-{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 = 1:
% 0.12/0.35     pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #8: input, references = 4, size of lhs = 2:
% 0.12/0.35     pppp3-{F}(V0,V1), P_singleton-{F}(V1,V2) | EXISTS V3: pppp2-{T}(V0,V3,V2)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #9: input, references = 4, size of lhs = 3:
% 0.12/0.35     pppp3-{F}(V0,V1), P_singleton-{F}(V1,V2), in-{F}(V1,V0) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #10: input, references = 3, size of lhs = 3:
% 0.12/0.35     pppp2-{F}(V0,V1,V2), P_set_difference-{F}(V1,V2,V3), subset-{F}(V0,V3) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #11: input, references = 4, size of lhs = 2:
% 0.12/0.35     pppp2-{F}(V0,V1,V2), P_set_difference-{F}(V1,V2,V3) | subset-{T}(V0,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #12: input, references = 5, size of lhs = 3:
% 0.12/0.35     P_singleton-{F}(V1,V2), P_set_difference-{F}(V3,V2,V4), subset-{F}(V0,V3) | in-{T}(V1,V0), subset-{T}(V0,V4)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #13: input, references = 4, size of lhs = 2:
% 0.12/0.35     #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #14: input, references = 4, size of lhs = 1:
% 0.12/0.35     #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of initial rules = 15
% 0.12/0.35  
% 0.12/0.35  Simplifiers:
% 0.12/0.35  #15: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #18: 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  #19: 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  #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #22: 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  #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of simplifiers = 10
% 0.12/0.35  
% 0.12/0.35  Learnt:
% 0.12/0.35  #26: disj( #12, input ), references = 1, size of lhs = 3:
% 0.12/0.35     P_singleton-{F}(V0,V1), subset-{F}(V0,V2), P_set_difference-{F}(V2,V1,V3) | subset-{T}(V0,V3)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #28: disj( #12, input ), references = 1, size of lhs = 5:
% 0.12/0.35     P_singleton-{F}(V0,V1), subset-{F}(V2,V3), P_set_difference-{F}(V3,V1,V4), pppp2-{F}(V2,V5,V6), P_set_difference-{F}(V5,V6,V4) | in-{T}(V0,V2)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #33: mergings( V1 == V5; #31 ), references = 1, size of lhs = 3:
% 0.12/0.35     pppp3-{F}(V0,V1), P_singleton-{F}(V1,V2), pppp2-{F}(V0,V3,V2) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #37: mergings( V2 == V5, V1 == V4; #34 ), references = 2, size of lhs = 2:
% 0.12/0.35     pppp3-{F}(V0,V1), P_singleton-{F}(V1,V2) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #39: exists( #14, #37 ), references = 1, size of lhs = 1:
% 0.12/0.35     pppp3-{F}(V0,V1) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #41: exists( #7, #38 ), references = 1, size of lhs = 1:
% 0.12/0.35     pppp4-{F}(V0) | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #43: exists( #6, #40 ), 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 = 7
% 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
%------------------------------------------------------------------------------