TSTP Solution File: GEO192+2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n019.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 06:01:58 EDT 2022

% Result   : Theorem 0.18s 0.39s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n019.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 17:37:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.39  GeoParameters:
% 0.18/0.39  
% 0.18/0.39  tptp_input =     1
% 0.18/0.39  tptp_output =    0
% 0.18/0.39  nonempty =       1
% 0.18/0.39  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  
% 0.18/0.39  RuleSystem INPUT:
% 0.18/0.39  
% 0.18/0.39  Initial Rules:
% 0.18/0.39  #0: input, references = 5, size of lhs = 1:
% 0.18/0.39     distinct_points-{F}(V0,V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #1: input, references = 4, size of lhs = 1:
% 0.18/0.39     distinct_lines-{F}(V0,V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #2: input, references = 4, size of lhs = 1:
% 0.18/0.39     convergent_lines-{F}(V0,V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #3: input, references = 4, size of lhs = 2:
% 0.18/0.39     #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #4: input, references = 5, size of lhs = 2:
% 0.18/0.39     #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #5: input, references = 4, size of lhs = 2:
% 0.18/0.39     #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #6: input, references = 3, size of lhs = 3:
% 0.18/0.39     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #7: input, references = 3, size of lhs = 3:
% 0.18/0.39     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #8: input, references = 4, size of lhs = 3:
% 0.18/0.39     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #9: input, references = 4, size of lhs = 3:
% 0.18/0.39     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #10: input, references = 3, size of lhs = 2:
% 0.18/0.39     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)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #11: input, references = 3, size of lhs = 2:
% 0.18/0.39     #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #12: input, references = 5, size of lhs = 2:
% 0.18/0.39     #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #13: input, references = 4, size of lhs = 1:
% 0.18/0.39     convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #14: input, references = 4, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #15: input, references = 4, size of lhs = 1:
% 0.18/0.39     pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #16: input, references = 4, size of lhs = 2:
% 0.18/0.39     pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V1,V3,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #17: input, references = 5, size of lhs = 2:
% 0.18/0.39     pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #18: input, references = 5, size of lhs = 3:
% 0.18/0.39     pppp0-{F}(V0,V1,V2,V3), distinct_lines-{F}(V0,V2), distinct_lines-{F}(V1,V2) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #19: input, references = 4, size of lhs = 1:
% 0.18/0.39     pppp0-{F}(V0,V1,V2,V3) | apart_point_and_line-{T}(V3,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #20: input, references = 3, size of lhs = 2:
% 0.18/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #21: input, references = 5, size of lhs = 2:
% 0.18/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of initial rules = 22
% 0.18/0.39  
% 0.18/0.39  Simplifiers:
% 0.18/0.39  #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of simplifiers = 9
% 0.18/0.39  
% 0.18/0.39  Learnt:
% 0.18/0.39  #33: exists( #21, #31 ), references = 1, size of lhs = 1:
% 0.18/0.39     pppp1-{F}(V0,V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #35: disj( #4, input ), references = 3, size of lhs = 1:
% 0.18/0.39     distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #37: disj( #5, input ), references = 1, size of lhs = 1:
% 0.18/0.39     convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #41: disj( #3, input ), references = 1, size of lhs = 1:
% 0.18/0.39     distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #44: disj( #12, #35+#18 ), references = 2, size of lhs = 3:
% 0.18/0.39     apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V2,V1), pppp0-{F}(V2,V3,V1,V4) | apart_point_and_line-{T}(V0,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #51: disj( #4, #44+#9+#0 ), references = 2, size of lhs = 5:
% 0.18/0.39     distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), apart_point_and_line-{F}(V4,V5), pppp0-{F}(V1,V3,V5,V6) | distinct_lines-{T}(V0,V5)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #56: disj( #12, #35+#18 ), references = 1, size of lhs = 3:
% 0.18/0.39     apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V2,V1), pppp0-{F}(V3,V2,V1,V4) | apart_point_and_line-{T}(V0,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #57: disj( #12, #51+#1 ), references = 1, size of lhs = 5:
% 0.18/0.39     apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V2,V1), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V5,V4,V1,V6) | apart_point_and_line-{T}(V0,V5)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #63: exists( #16, #61 ), references = 1, size of lhs = 7:
% 0.18/0.39     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), pppp1-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V3) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #68: exists( #21, #66 ), references = 1, size of lhs = 1:
% 0.18/0.39     pppp1-{F}(V0,V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #70: exists( #15, #67 ), references = 1, size of lhs = 1:
% 0.18/0.39     pppp2-{F}(V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #72: exists( #14, #69 ), references = 1, size of lhs = 0:
% 0.18/0.39     FALSE | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of learnt formulas = 12
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  
% 0.18/0.39  randbase = 1
%------------------------------------------------------------------------------