TSTP Solution File: SET912+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET912+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 06:16:56 EDT 2022

% Result   : Theorem 2.97s 3.20s
% Output   : Refutation 2.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET912+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n013.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 01:46:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.97/3.20  GeoParameters:
% 2.97/3.20  
% 2.97/3.20  tptp_input =     1
% 2.97/3.20  tptp_output =    0
% 2.97/3.20  nonempty =       1
% 2.97/3.20  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.97/3.20  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.97/3.20  
% 2.97/3.20  
% 2.97/3.20  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.97/3.20  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.97/3.20  
% 2.97/3.20  RuleSystem INPUT:
% 2.97/3.20  
% 2.97/3.20  Initial Rules:
% 2.97/3.20  #0: input, references = 4, size of lhs = 2:
% 2.97/3.20     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #1: input, references = 4, size of lhs = 3:
% 2.97/3.20     P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #2: input, references = 4, size of lhs = 3:
% 2.97/3.20     P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #3: input, references = 4, size of lhs = 2:
% 2.97/3.20     P_set_intersection2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #4: input, references = 3, size of lhs = 0:
% 2.97/3.20     FALSE | EXISTS V0: pppp1-{T}(V0)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #5: input, references = 3, size of lhs = 1:
% 2.97/3.20     pppp1-{F}(V0) | empty-{T}(V0)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #6: input, references = 3, size of lhs = 0:
% 2.97/3.20     FALSE | EXISTS V0: pppp2-{T}(V0)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #7: input, references = 3, size of lhs = 2:
% 2.97/3.20     pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #8: input, references = 4, size of lhs = 1:
% 2.97/3.20     #-{F} V0 | subset-{T}(V0,V0)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #9: input, references = 6, size of lhs = 3:
% 2.97/3.20     P_set_intersection2-{F}(V0,V1,V2), subset-{F}(V0,V1), V2 == V0 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #10: input, references = 4, size of lhs = 2:
% 2.97/3.20     P_unordered_pair-{F}(V0,V1,V3), subset-{F}(V3,V2) | pppp0-{T}(V0,V1,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #11: input, references = 7, size of lhs = 2:
% 2.97/3.20     P_unordered_pair-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | subset-{T}(V3,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #12: input, references = 3, size of lhs = 1:
% 2.97/3.20     pppp0-{F}(V0,V1,V2) | in-{T}(V0,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #13: input, references = 4, size of lhs = 1:
% 2.97/3.20     pppp0-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #14: input, references = 6, size of lhs = 2:
% 2.97/3.20     in-{F}(V0,V2), in-{F}(V1,V2) | pppp0-{T}(V0,V1,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #15: input, references = 4, size of lhs = 0:
% 2.97/3.20     FALSE | EXISTS V0: pppp5-{T}(V0)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #16: input, references = 4, size of lhs = 1:
% 2.97/3.20     pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #17: input, references = 4, size of lhs = 1:
% 2.97/3.20     pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #18: input, references = 4, size of lhs = 1:
% 2.97/3.20     pppp4-{F}(V0,V1) | in-{T}(V1,V0)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #19: input, references = 5, size of lhs = 3:
% 2.97/3.20     pppp3-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V2,V3), P_set_intersection2-{F}(V3,V1,V3) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #20: input, references = 6, size of lhs = 3:
% 2.97/3.20     pppp3-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V2,V3), P_set_intersection2-{F}(V3,V1,V4) | in-{T}(V0,V1)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #21: input, references = 8, size of lhs = 2:
% 2.97/3.20     #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #22: input, references = 7, size of lhs = 2:
% 2.97/3.20     #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  number of initial rules = 23
% 2.97/3.20  
% 2.97/3.20  Simplifiers:
% 2.97/3.20  #23: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #24: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #25: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #26: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #27: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #28: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #29: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V5), V2 == V5 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #30: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #31: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #32: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #33: unsound, references = 3, size of lhs = 3:
% 2.97/3.20     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  number of simplifiers = 11
% 2.97/3.20  
% 2.97/3.20  Learnt:
% 2.97/3.20  #36: exists( #22, #3 ), references = 1, size of lhs = 1:
% 2.97/3.20     #-{F} V0 | P_set_intersection2-{T}(V0,V0,V0)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #37: exists( #22, #9 ), references = 3, size of lhs = 1:
% 2.97/3.20     subset-{F}(V0,V1) | P_set_intersection2-{T}(V0,V1,V0)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #43: exists( #21, #1 ), references = 3, size of lhs = 1:
% 2.97/3.20     P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #54: exists( #22, #2 ), references = 5, size of lhs = 1:
% 2.97/3.20     P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #77: exists( #21, #75 ), references = 1, size of lhs = 2:
% 2.97/3.20     pppp0-{F}(V0,V1,V2), pppp3-{F}(V0,V2,V1) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #137: exists( #22, #135 ), references = 1, size of lhs = 3:
% 2.97/3.20     in-{F}(V0,V1), pppp3-{F}(V1,V0,V2), P_unordered_pair-{F}(V1,V2,V3) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #139: exists( #21, #136 ), references = 1, size of lhs = 2:
% 2.97/3.20     in-{F}(V0,V1), pppp3-{F}(V1,V0,V2) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #194: exists( #21, #192 ), references = 1, size of lhs = 3:
% 2.97/3.20     in-{F}(V0,V1), P_unordered_pair-{F}(V0,V0,V1), pppp3-{F}(V2,V1,V0) | P_unordered_pair-{T}(V0,V2,V1)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #296: exists( #22, #294 ), references = 1, size of lhs = 4:
% 2.97/3.20     in-{F}(V0,V1), pppp3-{F}(V2,V1,V3), P_unordered_pair-{F}(V2,V3,V4), P_unordered_pair-{F}(V0,V2,V4) | P_set_intersection2-{T}(V1,V4,V4)
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #301: exists( #21, #299 ), references = 1, size of lhs = 2:
% 2.97/3.20     in-{F}(V0,V1), pppp3-{F}(V2,V1,V0) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #303: exists( #17, #300 ), references = 1, size of lhs = 2:
% 2.97/3.20     pppp4-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #306: exists( #16, #304 ), references = 1, size of lhs = 1:
% 2.97/3.20     pppp5-{F}(V0) | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  #308: exists( #15, #305 ), references = 1, size of lhs = 0:
% 2.97/3.20     FALSE | FALSE
% 2.97/3.20        (used 0 times, uses = {})
% 2.97/3.20  
% 2.97/3.20  number of learnt formulas = 13
% 2.97/3.20  
% 2.97/3.20  
% 2.97/3.20  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.97/3.20  
% 2.97/3.20  randbase = 1
%------------------------------------------------------------------------------