TSTP Solution File: GEO200+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n027.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 06:02:02 EDT 2022

% Result   : Theorem 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n027.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 17:48:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  GeoParameters:
% 0.12/0.37  
% 0.12/0.37  tptp_input =     1
% 0.12/0.37  tptp_output =    0
% 0.12/0.37  nonempty =       1
% 0.12/0.37  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  
% 0.12/0.37  RuleSystem INPUT:
% 0.12/0.37  
% 0.12/0.37  Initial Rules:
% 0.12/0.37  #0: input, references = 4, size of lhs = 1:
% 0.12/0.37     distinct_points-{F}(V0,V0) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #1: input, references = 3, size of lhs = 1:
% 0.12/0.37     distinct_lines-{F}(V0,V0) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #2: input, references = 3, size of lhs = 1:
% 0.12/0.37     convergent_lines-{F}(V0,V0) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #3: input, references = 5, size of lhs = 2:
% 0.12/0.37     #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #4: input, references = 4, size of lhs = 2:
% 0.12/0.37     #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #5: input, references = 3, size of lhs = 2:
% 0.12/0.37     #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #6: input, references = 5, size of lhs = 3:
% 0.12/0.37     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #7: input, references = 3, size of lhs = 3:
% 0.12/0.37     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #8: input, references = 3, size of lhs = 3:
% 0.12/0.37     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #9: input, references = 3, size of lhs = 3:
% 0.12/0.37     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #10: input, references = 5, size of lhs = 2:
% 0.12/0.37     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)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #11: input, references = 3, size of lhs = 2:
% 0.12/0.37     #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #12: input, references = 3, size of lhs = 2:
% 0.12/0.37     #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #13: input, references = 3, size of lhs = 2:
% 0.12/0.37     #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #14: input, references = 4, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #15: input, references = 4, size of lhs = 1:
% 0.12/0.37     pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #16: input, references = 4, size of lhs = 3:
% 0.12/0.37     pppp0-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3) | distinct_lines-{T}(V2,V3)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #17: input, references = 5, size of lhs = 3:
% 0.12/0.37     pppp0-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3) | distinct_points-{T}(V0,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #18: input, references = 6, size of lhs = 2:
% 0.12/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #19: input, references = 3, size of lhs = 2:
% 0.12/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of initial rules = 20
% 0.12/0.37  
% 0.12/0.37  Simplifiers:
% 0.12/0.37  #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of simplifiers = 5
% 0.12/0.37  
% 0.12/0.37  Learnt:
% 0.12/0.37  #29: exists( #18, #25 ), references = 1, size of lhs = 1:
% 0.12/0.37     pppp0-{F}(V0,V0) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #31: disj( #3, input ), references = 2, size of lhs = 1:
% 0.12/0.37     distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #33: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.12/0.37     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V5,V4,V2), distinct_points-{F}(V5,V4), P_line_connecting-{F}(V6,V4,V3), distinct_points-{F}(V6,V4) | apart_point_and_line-{T}(V1,V3)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #37: disj( #3, #31+#32+#6 ), references = 1, size of lhs = 10:
% 0.12/0.37     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V1,V4), P_line_connecting-{F}(V1,V4,V3), distinct_points-{F}(V5,V1), distinct_points-{F}(V5,V6), P_line_connecting-{F}(V7,V5,V2), P_line_connecting-{F}(V8,V5,V3), distinct_points-{F}(V8,V5) | distinct_points-{T}(V6,V7)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #39: disj( #4, input ), references = 1, size of lhs = 1:
% 0.12/0.37     distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #41: disj( #10, input, input ), references = 1, size of lhs = 6:
% 0.12/0.37     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V5,V4,V3), distinct_points-{F}(V5,V4) | apart_point_and_line-{T}(V1,V3), apart_point_and_line-{T}(V4,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #43: disj( #40, input ), references = 1, size of lhs = 8:
% 0.12/0.37     distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V1,V4), P_line_connecting-{F}(V1,V4,V3), distinct_points-{F}(V5,V1), P_line_connecting-{F}(V6,V5,V3), distinct_points-{F}(V6,V5) | apart_point_and_line-{T}(V5,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #50: mergings( V3 == V4; #48 ), references = 1, size of lhs = 2:
% 0.12/0.37     pppp0-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #52: exists( #18, #48 ), references = 1, size of lhs = 1:
% 0.12/0.37     pppp0-{F}(V0,V1) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #54: exists( #15, #51 ), references = 1, size of lhs = 1:
% 0.12/0.37     pppp1-{F}(V0) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #56: exists( #14, #53 ), references = 1, size of lhs = 0:
% 0.12/0.37     FALSE | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of learnt formulas = 11
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  
% 0.12/0.37  randbase = 1
%------------------------------------------------------------------------------