TSTP Solution File: GEO185+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO185+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n012.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 06:01:55 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  : GEO185+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n012.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 18:21:07 EDT 2022
% 0.12/0.34  % 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 = 1:
% 0.12/0.40     distinct_points-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #1: input, references = 3, size of lhs = 1:
% 0.12/0.40     distinct_lines-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #2: input, references = 4, size of lhs = 1:
% 0.12/0.40     convergent_lines-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #3: input, references = 3, size of lhs = 2:
% 0.12/0.40     #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #4: input, references = 3, size of lhs = 2:
% 0.12/0.40     #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 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     #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #6: input, references = 3, size of lhs = 3:
% 0.12/0.40     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #7: input, references = 3, size of lhs = 3:
% 0.12/0.40     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #8: input, references = 4, size of lhs = 3:
% 0.12/0.40     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #9: input, references = 3, size of lhs = 3:
% 0.12/0.40     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #10: input, references = 3, size of lhs = 2:
% 0.12/0.40     distinct_lines-{F}(V0,V1), distinct_points-{F}(V3,V2) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V3,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #11: input, references = 5, size of lhs = 2:
% 0.12/0.40     #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #12: input, references = 3, size of lhs = 2:
% 0.12/0.40     #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #13: input, references = 4, size of lhs = 2:
% 0.12/0.40     #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #14: 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  #15: 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  #16: input, references = 4, size of lhs = 2:
% 0.12/0.40     pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V3,V0,V1,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #17: input, references = 5, size of lhs = 2:
% 0.12/0.40     pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #18: input, references = 3, size of lhs = 1:
% 0.12/0.40     pppp1-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V0,V4)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #19: input, references = 6, size of lhs = 1:
% 0.12/0.40     pppp1-{F}(V0,V1,V2,V3) | apart_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #20: input, references = 4, size of lhs = 2:
% 0.12/0.40     pppp1-{F}(V0,V1,V2,V3), distinct_points-{F}(V0,V3) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #21: input, references = 3, size of lhs = 1:
% 0.12/0.40     pppp0-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #22: input, references = 3, size of lhs = 2:
% 0.12/0.40     #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #23: input, references = 5, size of lhs = 2:
% 0.12/0.40     #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of initial rules = 24
% 0.12/0.40  
% 0.12/0.40  Simplifiers:
% 0.12/0.40  #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #31: 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  #32: 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  #33: 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 = 10
% 0.12/0.40  
% 0.12/0.40  Learnt:
% 0.12/0.40  #36: exists( #23, #34 ), references = 1, size of lhs = 1:
% 0.12/0.40     pppp2-{F}(V0,V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #38: disj( #5, input ), references = 1, size of lhs = 1:
% 0.12/0.40     convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #40: disj( #19, input ), references = 1, size of lhs = 3:
% 0.12/0.40     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp1-{F}(V2,V3,V1,V4) | apart_point_and_line-{T}(V2,V3)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #43: disj( #13, input ), references = 1, size of lhs = 1:
% 0.12/0.40     convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #47: disj( #19, input ), references = 1, size of lhs = 3:
% 0.12/0.40     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp1-{F}(V2,V1,V3,V4) | apart_point_and_line-{T}(V2,V3)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #48: disj( #19, input ), references = 1, size of lhs = 3:
% 0.12/0.40     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp1-{F}(V2,V0,V3,V4) | apart_point_and_line-{T}(V2,V3)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #52: disj( #11, input ), references = 1, size of lhs = 3:
% 0.12/0.40     apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3) | distinct_points-{T}(V0,V3)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #58: mergings( V1 == V6, V2 == V7, V3 == V5; #54 ), references = 1, size of lhs = 3:
% 0.12/0.40     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V1,V2) | apart_point_and_line-{T}(V3,V4)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #60: disj( #11, input ), references = 1, size of lhs = 2:
% 0.12/0.40     apart_point_and_line-{F}(V0,V1), pppp1-{F}(V0,V2,V3,V4) | apart_point_and_line-{T}(V4,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #64: exists( #16, #62 ), references = 1, size of lhs = 6:
% 0.12/0.40     pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V2) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #67: exists( #23, #65 ), references = 1, size of lhs = 1:
% 0.12/0.40     pppp2-{F}(V0,V1) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #69: exists( #15, #66 ), 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  #71: exists( #14, #68 ), 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 = 13
% 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
%------------------------------------------------------------------------------