TSTP Solution File: SET904+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET904+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 0.40s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET904+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 01:40:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.40  GeoParameters:
% 0.12/0.40  
% 0.12/0.40  tptp_input =     1
% 0.12/0.40  tptp_output =    0
% 0.12/0.40  nonempty =       1
% 0.12/0.40  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  RuleSystem INPUT:
% 0.12/0.40  
% 0.12/0.40  Initial Rules:
% 0.12/0.40  #0: input, references = 3, size of lhs = 2:
% 0.12/0.40     P_set_union2-{F}(V0,V1,V2), empty-{F}(V2) | empty-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #1: input, references = 3, size of lhs = 2:
% 0.12/0.40     P_set_union2-{F}(V1,V0,V2), empty-{F}(V2) | empty-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #2: input, references = 4, size of lhs = 3:
% 0.12/0.40     P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #3: input, references = 4, size of lhs = 2:
% 0.12/0.40     P_set_union2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #4: input, references = 3, size of lhs = 1:
% 0.12/0.40     #-{F} V0 | subset-{T}(V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #5: input, references = 4, size of lhs = 2:
% 0.12/0.40     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #6: input, references = 3, size of lhs = 0:
% 0.12/0.40     FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #7: input, references = 3, size of lhs = 1:
% 0.12/0.40     pppp0-{F}(V0) | empty-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #8: input, references = 3, size of lhs = 0:
% 0.12/0.40     FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #9: input, references = 3, size of lhs = 2:
% 0.12/0.40     pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #10: input, references = 4, size of lhs = 0:
% 0.12/0.40     FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #11: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #12: input, references = 4, size of lhs = 4:
% 0.12/0.40     pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2), P_set_union2-{F}(V2,V1,V3), in-{F}(V0,V1) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #13: input, references = 5, size of lhs = 3:
% 0.12/0.40     pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2), P_set_union2-{F}(V2,V1,V3) | subset-{T}(V3,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #14: input, references = 5, size of lhs = 3:
% 0.12/0.40     P_singleton-{F}(V0,V2), P_set_union2-{F}(V2,V1,V3), subset-{F}(V3,V1) | in-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #15: input, references = 7, size of lhs = 2:
% 0.12/0.40     #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #16: input, references = 4, size of lhs = 1:
% 0.12/0.40     #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of initial rules = 17
% 0.12/0.40  
% 0.12/0.40  Simplifiers:
% 0.12/0.40  #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of simplifiers = 7
% 0.12/0.40  
% 0.12/0.40  Learnt:
% 0.12/0.40  #25: exists( #15, #3 ), references = 1, size of lhs = 1:
% 0.12/0.40     #-{F} V0 | P_set_union2-{T}(V0,V0,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #29: exists( #15, #2 ), references = 2, size of lhs = 1:
% 0.12/0.40     P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #39: exists( #15, #37 ), references = 1, size of lhs = 3:
% 0.12/0.40     pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V1,V2) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #53: mergings( V3 == V4; #51 ), references = 1, size of lhs = 2:
% 0.12/0.40     pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #55: exists( #11, #51 ), references = 1, size of lhs = 2:
% 0.12/0.40     pppp3-{F}(V0), P_singleton-{F}(V0,V1) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #57: exists( #16, #54 ), references = 1, size of lhs = 1:
% 0.12/0.40     pppp3-{F}(V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #59: exists( #10, #56 ), references = 1, size of lhs = 0:
% 0.12/0.40     FALSE | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of learnt formulas = 7
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  randbase = 1
%------------------------------------------------------------------------------