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Geo-III---2018C.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO193+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n011.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 06:01:59 EDT 2022

% Result   : Theorem 0.43s 0.61s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO193+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n011.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 17:36:51 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.43/0.61  GeoParameters:
% 0.43/0.61  
% 0.43/0.61  tptp_input =     1
% 0.43/0.61  tptp_output =    0
% 0.43/0.61  nonempty =       1
% 0.43/0.61  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.43/0.61  
% 0.43/0.61  
% 0.43/0.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61  
% 0.43/0.61  RuleSystem INPUT:
% 0.43/0.61  
% 0.43/0.61  Initial Rules:
% 0.43/0.61  #0: input, references = 7, size of lhs = 1:
% 0.43/0.61     distinct_points-{F}(V0,V0) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #1: input, references = 3, size of lhs = 1:
% 0.43/0.61     distinct_lines-{F}(V0,V0) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #2: input, references = 4, size of lhs = 1:
% 0.43/0.61     convergent_lines-{F}(V0,V0) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #3: input, references = 4, size of lhs = 2:
% 0.43/0.61     #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #4: input, references = 5, size of lhs = 2:
% 0.43/0.61     #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #5: input, references = 6, size of lhs = 2:
% 0.43/0.61     #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #6: input, references = 3, size of lhs = 3:
% 0.43/0.61     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #7: input, references = 3, size of lhs = 3:
% 0.43/0.61     P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #8: input, references = 7, size of lhs = 3:
% 0.43/0.61     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #9: input, references = 5, size of lhs = 3:
% 0.43/0.61     P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #10: input, references = 5, size of lhs = 2:
% 0.43/0.61     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)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #11: input, references = 3, size of lhs = 2:
% 0.43/0.61     #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #12: input, references = 3, size of lhs = 2:
% 0.43/0.61     #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #13: input, references = 4, size of lhs = 1:
% 0.43/0.61     convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #14: input, references = 4, size of lhs = 0:
% 0.43/0.61     FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #15: input, references = 4, size of lhs = 1:
% 0.43/0.61     pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #16: input, references = 4, size of lhs = 2:
% 0.43/0.61     pppp1-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2) | EXISTS V3: pppp0-{T}(V3,V0,V1,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #17: input, references = 5, size of lhs = 2:
% 0.43/0.61     pppp1-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2) | convergent_lines-{T}(V1,V0)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #18: input, references = 3, size of lhs = 3:
% 0.43/0.61     pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4), apart_point_and_line-{F}(V3,V0) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #19: input, references = 5, size of lhs = 2:
% 0.43/0.61     pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | apart_point_and_line-{T}(V4,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #20: input, references = 3, size of lhs = 2:
% 0.43/0.61     pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | convergent_lines-{T}(V0,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #21: input, references = 5, size of lhs = 2:
% 0.43/0.61     pppp0-{F}(V0,V1,V2,V3), P_intersection_point-{F}(V0,V1,V4) | convergent_lines-{T}(V0,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #22: input, references = 3, size of lhs = 2:
% 0.43/0.61     #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #23: input, references = 9, size of lhs = 2:
% 0.43/0.61     #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  number of initial rules = 24
% 0.43/0.61  
% 0.43/0.61  Simplifiers:
% 0.43/0.61  #24: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #25: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #26: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #27: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #28: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #29: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #30: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #31: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #32: unsound, references = 3, size of lhs = 3:
% 0.43/0.61     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  number of simplifiers = 9
% 0.43/0.61  
% 0.43/0.61  Learnt:
% 0.43/0.61  #35: exists( #23, #33 ), references = 1, size of lhs = 1:
% 0.43/0.61     pppp1-{F}(V0,V0) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #37: disj( #4, input ), references = 1, size of lhs = 1:
% 0.43/0.61     distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #39: disj( #5, input ), references = 3, size of lhs = 1:
% 0.43/0.61     convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #47: disj( #3, input ), references = 2, size of lhs = 1:
% 0.43/0.61     distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #51: disj( #10, #8+#0, #8+#0 ), references = 1, size of lhs = 6:
% 0.43/0.61     distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V5), distinct_points-{F}(V5,V3) | apart_point_and_line-{T}(V3,V1), apart_point_and_line-{T}(V5,V0)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #53: disj( #50, input ), references = 1, size of lhs = 8:
% 0.43/0.61     distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V5), distinct_points-{F}(V5,V3), pppp0-{F}(V0,V6,V7,V5), P_intersection_point-{F}(V0,V6,V8) | apart_point_and_line-{T}(V3,V1)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #62: mergings( V8 == V5, V4 == V6; #59 ), references = 1, size of lhs = 7:
% 0.43/0.61     distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), pppp0-{F}(V0,V1,V4,V3), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V3) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #66: mergings( V5 == V6, V4 == V7; #63 ), references = 1, size of lhs = 7:
% 0.43/0.61     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V2,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V1,V3,V4), pppp0-{F}(V2,V1,V5,V4), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V4) | convergent_lines-{T}(V0,V3)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #76: disj( #10, #9+#0, #9+#0 ), references = 1, size of lhs = 6:
% 0.43/0.61     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), distinct_points-{F}(V5,V3) | apart_point_and_line-{T}(V3,V2), apart_point_and_line-{T}(V5,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #78: disj( #75, input ), references = 1, size of lhs = 8:
% 0.43/0.61     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V1), P_intersection_point-{F}(V4,V1,V5), distinct_points-{F}(V5,V3), pppp0-{F}(V2,V6,V7,V3), P_intersection_point-{F}(V2,V6,V8) | apart_point_and_line-{T}(V5,V2)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #86: mergings( V8 == V5, V4 == V6; #83 ), references = 2, size of lhs = 7:
% 0.43/0.61     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V0,V1,V3), pppp0-{F}(V2,V1,V4,V3), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V3) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #91: mergings( V5 == V6, V4 == V7; #88 ), references = 1, size of lhs = 7:
% 0.43/0.61     convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), distinct_lines-{F}(V1,V3), P_intersection_point-{F}(V0,V1,V4), pppp0-{F}(V3,V1,V5,V4), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V4) | convergent_lines-{T}(V2,V3)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #96: mergings( V5 == V7, V4 == V8; #93 ), references = 2, size of lhs = 6:
% 0.43/0.61     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), pppp0-{F}(V2,V1,V4,V3), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V3) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #100: mergings( V5 == V7, V4 == V8; #97 ), references = 1, size of lhs = 6:
% 0.43/0.61     convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V5), P_intersection_point-{F}(V4,V5,V3), pppp0-{F}(V6,V1,V4,V3) | distinct_lines-{T}(V2,V6)
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #111: mergings( V5 == V7, V4 == V8; #107 ), references = 1, size of lhs = 5:
% 0.43/0.61     convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V5,V1,V3,V2) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #114: exists( #16, #107 ), references = 1, size of lhs = 6:
% 0.43/0.61     convergent_lines-{F}(V0,V1), pppp1-{F}(V1,V2), 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
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #119: exists( #23, #115 ), references = 1, size of lhs = 1:
% 0.43/0.61     pppp1-{F}(V0,V1) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #122: exists( #15, #117 ), references = 1, size of lhs = 1:
% 0.43/0.61     pppp2-{F}(V0) | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  #125: exists( #14, #120 ), references = 1, size of lhs = 0:
% 0.43/0.61     FALSE | FALSE
% 0.43/0.61        (used 0 times, uses = {})
% 0.43/0.61  
% 0.43/0.61  number of learnt formulas = 19
% 0.43/0.61  
% 0.43/0.61  
% 0.43/0.61  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61  
% 0.43/0.61  randbase = 1
%------------------------------------------------------------------------------