TSTP Solution File: LCL362-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL362-1 : TPTP v8.1.0. Released v2.3.0.
% 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 06:09:11 EDT 2022

% Result   : Unsatisfiable 52.02s 52.19s
% Output   : Refutation 52.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL362-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 22:44:00 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 52.02/52.19  GeoParameters:
% 52.02/52.19  
% 52.02/52.19  tptp_input =     1
% 52.02/52.19  tptp_output =    0
% 52.02/52.19  nonempty =       1
% 52.02/52.19  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.02/52.19  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 52.02/52.19  
% 52.02/52.19  
% 52.02/52.19  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.02/52.19  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.02/52.19  
% 52.02/52.19  RuleSystem INPUT:
% 52.02/52.19  
% 52.02/52.19  Initial Rules:
% 52.02/52.19  #0: input, references = 39, size of lhs = 3:
% 52.02/52.19     P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2), is_a_theorem-{F}(V1) | is_a_theorem-{T}(V0)
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #1: input, references = 35, size of lhs = 5:
% 52.02/52.19     P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #2: input, references = 10, size of lhs = 3:
% 52.02/52.19     P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #3: input, references = 29, size of lhs = 3:
% 52.02/52.19     P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #4: input, references = 10, size of lhs = 8:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V5,V4,V6), is_a_theorem-{F}(V6) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #5: input, references = 64, size of lhs = 2:
% 52.02/52.19     #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #6: input, references = 5, size of lhs = 1:
% 52.02/52.19     #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #7: input, references = 4, size of lhs = 0:
% 52.02/52.19     FALSE | EXISTS V0: P_x-{T}(V0)
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #8: input, references = 4, size of lhs = 0:
% 52.02/52.19     FALSE | EXISTS V0: P_y-{T}(V0)
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  number of initial rules = 9
% 52.02/52.19  
% 52.02/52.19  Simplifiers:
% 52.02/52.19  #9: unsound, references = 3, size of lhs = 3:
% 52.02/52.19     P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #10: unsound, references = 3, size of lhs = 3:
% 52.02/52.19     P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #11: unsound, references = 3, size of lhs = 3:
% 52.02/52.19     P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #12: unsound, references = 3, size of lhs = 3:
% 52.02/52.19     P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  number of simplifiers = 4
% 52.02/52.19  
% 52.02/52.19  Learnt:
% 52.02/52.19  #15: exists( #5, #13 ), references = 1, size of lhs = 8:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V4,V6), P_implies-{F}(V6,V4,V5) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #17: exists( #5, #14 ), references = 1, size of lhs = 6:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V4,V0) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #20: exists( #5, #18 ), references = 1, size of lhs = 10:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V6,V7,V5), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_implies-{F}(V9,V10,V4) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #27: exists( #5, #25 ), references = 1, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V6,V5,V7), P_not-{F}(V0,V8), P_implies-{F}(V8,V9,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #34: exists( #5, #32 ), references = 2, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V6,V5,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #36: exists( #5, #33 ), references = 4, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V9,V6), P_implies-{F}(V7,V9,V5) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #39: exists( #5, #37 ), references = 1, size of lhs = 8:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V4) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #55: exists( #5, #53 ), references = 2, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V1,V8,V9), P_not-{F}(V0,V10), P_implies-{F}(V10,V11,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #57: exists( #5, #54 ), references = 2, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V1,V8,V9), P_not-{F}(V0,V10), P_implies-{F}(V10,V11,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #59: exists( #5, #56 ), references = 1, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V0,V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #61: exists( #5, #58 ), references = 1, size of lhs = 9:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V0,V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #63: exists( #5, #60 ), references = 3, size of lhs = 8:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V0,V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #65: exists( #5, #62 ), references = 3, size of lhs = 7:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V0,V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #77: exists( #5, #73 ), references = 3, size of lhs = 9:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V2,V7), P_implies-{F}(V7,V2,V0) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #79: mergings( V5 == V6; #76 ), references = 2, size of lhs = 7:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V2), P_x-{F}(V3), P_not-{F}(V2,V4), P_implies-{F}(V4,V2,V0) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #90: mergings( V8 == V9; #88 ), references = 3, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V0), P_not-{F}(V7,V8), P_implies-{F}(V8,V7,V1) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #122: exists( #5, #116 ), references = 3, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V1), P_not-{F}(V7,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #123: exists( #5, #117 ), references = 3, size of lhs = 13:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V2,V7), P_implies-{F}(V7,V2,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #124: exists( #5, #118 ), references = 1, size of lhs = 11:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_y-{F}(V2), P_x-{F}(V3), P_not-{F}(V2,V4), P_implies-{F}(V4,V2,V1), P_not-{F}(V5,V2), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_implies-{F}(V9,V10,V5) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #130: exists( #5, #128 ), references = 1, size of lhs = 12:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V6,V7,V5), P_implies-{F}(V8,V7,V4), P_implies-{F}(V9,V10,V8), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V6) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #155: exists( #5, #149 ), references = 2, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V8), P_not-{F}(V7,V9), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #156: exists( #5, #150 ), references = 1, size of lhs = 18:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V8), P_not-{F}(V7,V9), P_implies-{F}(V9,V7,V10), P_implies-{F}(V11,V12,V1), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V10), P_implies-{F}(V16,V17,V0), P_implies-{F}(V17,V18,V19), P_implies-{F}(V16,V18,V20), P_implies-{F}(V19,V20,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #159: exists( #5, #152 ), references = 2, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V10,V9,V1), P_implies-{F}(V6,V8,V11), P_not-{F}(V11,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #160: exists( #5, #153 ), references = 2, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V7,V1), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_implies-{F}(V9,V10,V11), P_implies-{F}(V12,V13,V0), P_implies-{F}(V13,V14,V15), P_not-{F}(V15,V16), P_implies-{F}(V16,V15,V11), P_implies-{F}(V12,V14,V17), P_not-{F}(V17,V15) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #185: exists( #5, #179 ), references = 3, size of lhs = 17:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V2,V7), P_implies-{F}(V7,V2,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V14), P_implies-{F}(V15,V16,V14), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #186: exists( #5, #180 ), references = 1, size of lhs = 18:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V1), P_not-{F}(V7,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V15), P_implies-{F}(V16,V17,V15), P_implies-{F}(V17,V18,V19), P_implies-{F}(V16,V18,V20), P_implies-{F}(V19,V20,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #187: exists( #5, #181 ), references = 2, size of lhs = 18:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V8), P_not-{F}(V7,V9), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V15), P_implies-{F}(V16,V17,V15), P_implies-{F}(V17,V18,V19), P_implies-{F}(V16,V18,V20), P_implies-{F}(V19,V20,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #204: exists( #5, #200 ), references = 1, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V1,V8,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V15), P_not-{F}(V15,V16), P_implies-{F}(V16,V17,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #205: exists( #5, #201 ), references = 1, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V1,V8,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V15), P_not-{F}(V15,V16), P_implies-{F}(V16,V17,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #224: exists( #5, #218 ), references = 1, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V8,V6), P_implies-{F}(V9,V8,V5), P_implies-{F}(V9,V7,V10), P_implies-{F}(V11,V12,V0), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V10) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #225: exists( #5, #219 ), references = 2, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V6,V5,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V13), P_implies-{F}(V14,V15,V13), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #226: exists( #5, #220 ), references = 2, size of lhs = 21:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V2,V7), P_implies-{F}(V7,V2,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V14), P_implies-{F}(V15,V16,V14), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V20), P_implies-{F}(V21,V22,V20), P_implies-{F}(V22,V23,V24), P_implies-{F}(V21,V23,V25), P_implies-{F}(V24,V25,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #257: exists( #5, #251 ), references = 1, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V1,V8,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #258: exists( #5, #252 ), references = 2, size of lhs = 13:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_not-{F}(V3,V2), P_implies-{F}(V1,V3,V4), P_x-{F}(V5), P_y-{F}(V6), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V4) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #259: exists( #5, #253 ), references = 2, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_not-{F}(V3,V2), P_implies-{F}(V1,V3,V4), P_x-{F}(V5), P_y-{F}(V6), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V8,V6,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V4) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #263: exists( #5, #254 ), references = 3, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V1), P_implies-{F}(V9,V11,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #265: exists( #5, #260 ), references = 4, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V6,V1) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #268: exists( #5, #266 ), references = 1, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_not-{F}(V6,V7), P_implies-{F}(V8,V5,V0), P_implies-{F}(V7,V9,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #274: exists( #5, #272 ), references = 3, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V5,V0), P_implies-{F}(V8,V9,V6), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #281: exists( #5, #225 ), references = 1, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V6,V5,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #282: exists( #5, #226 ), references = 1, size of lhs = 19:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V2,V7), P_implies-{F}(V7,V2,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V13,V14,V15), P_implies-{F}(V12,V14,V16), P_implies-{F}(V15,V16,V17), P_implies-{F}(V18,V19,V17), P_implies-{F}(V19,V20,V21), P_implies-{F}(V18,V20,V22), P_implies-{F}(V21,V22,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #283: exists( #5, #187 ), references = 1, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V8), P_not-{F}(V7,V9), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #286: exists( #5, #280 ), references = 1, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V8), P_not-{F}(V7,V9), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #287: exists( #5, #279 ), references = 1, size of lhs = 19:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V2,V7), P_implies-{F}(V7,V2,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V13,V14,V15), P_implies-{F}(V12,V14,V16), P_implies-{F}(V15,V16,V17), P_implies-{F}(V18,V19,V17), P_implies-{F}(V19,V20,V21), P_implies-{F}(V18,V20,V22), P_implies-{F}(V21,V22,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #301: exists( #5, #160 ), references = 1, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V7,V1), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_not-{F}(V10,V9), P_not-{F}(V11,V10), P_implies-{F}(V12,V13,V0), P_implies-{F}(V13,V14,V10), P_implies-{F}(V12,V14,V11) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #310: exists( #5, #308 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V7,V8), P_not-{F}(V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V10,V11,V8), P_implies-{F}(V5,V7,V12), P_not-{F}(V12,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #316: exists( #5, #258 ), references = 4, size of lhs = 11:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V7,V2), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V1), P_implies-{F}(V8,V10,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #317: exists( #5, #259 ), references = 3, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V6,V4,V7), P_not-{F}(V8,V2), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V1), P_implies-{F}(V9,V11,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #320: exists( #5, #314 ), references = 3, size of lhs = 11:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V7,V2), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V1), P_implies-{F}(V8,V10,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #321: exists( #5, #315 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V6,V4,V7), P_not-{F}(V8,V2), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V1), P_implies-{F}(V9,V11,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #344: exists( #5, #340 ), references = 1, size of lhs = 12:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V4,V6), P_implies-{F}(V6,V4,V7), P_implies-{F}(V8,V9,V5), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #360: exists( #5, #354 ), references = 3, size of lhs = 11:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V1), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V6), P_implies-{F}(V10,V9,V0), P_implies-{F}(V8,V11,V10) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #361: exists( #5, #355 ), references = 3, size of lhs = 11:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V1), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V6), P_implies-{F}(V10,V9,V0), P_implies-{F}(V8,V11,V10) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #362: exists( #5, #356 ), references = 3, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_not-{F}(V7,V1), P_not-{F}(V8,V9), P_implies-{F}(V8,V10,V7), P_implies-{F}(V11,V10,V0), P_implies-{F}(V9,V12,V11) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #365: exists( #5, #123 ), references = 1, size of lhs = 11:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V2,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V7), P_implies-{F}(V8,V10,V2) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #366: exists( #5, #185 ), references = 1, size of lhs = 15:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V1,V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V2,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V13), P_implies-{F}(V14,V15,V13), P_implies-{F}(V15,V16,V7), P_implies-{F}(V14,V16,V2) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #397: exists( #5, #391 ), references = 2, size of lhs = 13:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V1), P_implies-{F}(V7,V8,V0), P_implies-{F}(V7,V9,V6), P_implies-{F}(V10,V11,V8), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #398: exists( #5, #392 ), references = 2, size of lhs = 13:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V1), P_implies-{F}(V7,V8,V0), P_implies-{F}(V7,V9,V6), P_implies-{F}(V10,V11,V8), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #399: exists( #5, #393 ), references = 2, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_not-{F}(V7,V1), P_implies-{F}(V8,V9,V0), P_implies-{F}(V8,V10,V7), P_implies-{F}(V11,V12,V9), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V10) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #418: exists( #5, #412 ), references = 1, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V8,V6,V1), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V12,V13), P_implies-{F}(V10,V12,V14), P_implies-{F}(V13,V14,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #419: exists( #5, #413 ), references = 3, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V9,V10,V1), P_implies-{F}(V11,V10,V8), P_implies-{F}(V11,V9,V12), P_implies-{F}(V13,V14,V0), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V12) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #420: exists( #5, #414 ), references = 1, size of lhs = 15:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V6), P_not-{F}(V7,V2), P_implies-{F}(V8,V9,V1), P_implies-{F}(V10,V9,V7), P_implies-{F}(V10,V8,V11), P_implies-{F}(V12,V13,V0), P_implies-{F}(V13,V14,V15), P_implies-{F}(V12,V14,V16), P_implies-{F}(V15,V16,V11) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #424: exists( #5, #415 ), references = 4, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V8,V6,V1), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V7), P_implies-{F}(V9,V11,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #427: exists( #5, #425 ), references = 1, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V9,V6), P_implies-{F}(V7,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V5) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #429: exists( #5, #426 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V6,V1,V0), P_implies-{F}(V6,V5,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V5) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #431: exists( #5, #36 ), references = 1, size of lhs = 8:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V6,V1,V0), P_implies-{F}(V6,V5,V5) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #450: exists( #5, #444 ), references = 2, size of lhs = 15:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V0,V6), P_implies-{F}(V6,V7,V8), P_not-{F}(V9,V8), P_implies-{F}(V10,V11,V1), P_implies-{F}(V10,V12,V9), P_implies-{F}(V13,V14,V11), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V12) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #451: exists( #5, #445 ), references = 2, size of lhs = 15:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V0,V6), P_implies-{F}(V6,V7,V8), P_not-{F}(V9,V8), P_implies-{F}(V10,V11,V1), P_implies-{F}(V10,V12,V9), P_implies-{F}(V13,V14,V11), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V12) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #452: exists( #5, #446 ), references = 2, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_not-{F}(V0,V7), P_implies-{F}(V7,V8,V9), P_not-{F}(V10,V9), P_implies-{F}(V11,V12,V1), P_implies-{F}(V11,V13,V10), P_implies-{F}(V14,V15,V12), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #459: exists( #5, #453 ), references = 1, size of lhs = 13:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V5), P_implies-{F}(V7,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #460: exists( #5, #454 ), references = 1, size of lhs = 13:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V5), P_implies-{F}(V7,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V12,V13,V14), P_implies-{F}(V11,V13,V15), P_implies-{F}(V14,V15,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #461: exists( #5, #455 ), references = 1, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V6,V0), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V6), P_implies-{F}(V8,V10,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V13,V14,V15), P_implies-{F}(V12,V14,V16), P_implies-{F}(V15,V16,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #489: exists( #5, #483 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V6), P_implies-{F}(V9,V11,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #491: exists( #5, #486 ), references = 4, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V5,V6) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #493: exists( #5, #490 ), references = 3, size of lhs = 8:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V1,V0) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #500: exists( #5, #498 ), references = 1, size of lhs = 12:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V4,V6), P_implies-{F}(V7,V4,V5), P_implies-{F}(V8,V9,V6), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #525: exists( #5, #519 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V1,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_implies-{F}(V11,V12,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #527: exists( #5, #522 ), references = 2, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V9,V6), P_implies-{F}(V7,V9,V1) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #530: exists( #5, #528 ), references = 1, size of lhs = 10:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V6,V7), P_implies-{F}(V8,V4,V5), P_implies-{F}(V7,V9,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #538: exists( #5, #532 ), references = 1, size of lhs = 15:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V0,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V5,V10,V11), P_not-{F}(V12,V11), P_implies-{F}(V6,V13,V12), P_implies-{F}(V14,V15,V9), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #539: exists( #5, #533 ), references = 1, size of lhs = 15:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V0,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V5,V10,V11), P_not-{F}(V12,V11), P_implies-{F}(V6,V13,V12), P_implies-{F}(V14,V15,V9), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #540: exists( #5, #534 ), references = 1, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V0,V6), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V10), P_implies-{F}(V6,V11,V12), P_not-{F}(V13,V12), P_implies-{F}(V7,V14,V13), P_implies-{F}(V15,V16,V10), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V14) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #558: exists( #5, #554 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V5,V6), P_not-{F}(V0,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V11,V12,V6), P_implies-{F}(V10,V12,V1) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #565: exists( #5, #559 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V9,V6), P_implies-{F}(V7,V9,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V5) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #566: exists( #5, #560 ), references = 1, size of lhs = 12:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V6,V7,V5), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_implies-{F}(V9,V10,V11), P_not-{F}(V11,V12), P_implies-{F}(V12,V13,V4) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #580: exists( #5, #419 ), references = 2, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V3,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V13,V8), P_implies-{F}(V9,V11,V14), P_implies-{F}(V14,V13,V1) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #593: exists( #5, #587 ), references = 1, size of lhs = 11:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V5), P_implies-{F}(V7,V9,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #594: exists( #5, #588 ), references = 1, size of lhs = 11:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V5), P_implies-{F}(V7,V9,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V8) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #595: exists( #5, #589 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V6,V0), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V6), P_implies-{F}(V8,V10,V11), P_not-{F}(V11,V12), P_implies-{F}(V12,V13,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #605: exists( #5, #599 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V6,V5,V7), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V0), P_implies-{F}(V10,V11,V7), P_implies-{F}(V9,V12,V11) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #606: exists( #5, #600 ), references = 1, size of lhs = 14:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V6,V5,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V11), P_implies-{F}(V8,V10,V12), P_not-{F}(V12,V13), P_implies-{F}(V11,V14,V7), P_implies-{F}(V13,V15,V14) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #607: exists( #5, #601 ), references = 1, size of lhs = 16:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V6,V5,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V11), P_implies-{F}(V12,V11,V7), P_implies-{F}(V12,V8,V13), P_implies-{F}(V14,V15,V0), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #626: exists( #5, #620 ), references = 1, size of lhs = 10:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V1,V7), P_not-{F}(V0,V8), P_implies-{F}(V8,V9,V7) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #627: exists( #5, #621 ), references = 1, size of lhs = 12:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_not-{F}(V5,V7), P_implies-{F}(V8,V5,V6), P_implies-{F}(V7,V8,V9), P_not-{F}(V0,V10), P_implies-{F}(V10,V11,V9) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #630: exists( #5, #623 ), references = 1, size of lhs = 8:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V5,V6), P_not-{F}(V0,V6) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #632: exists( #6, #628 ), references = 1, size of lhs = 6:
% 52.02/52.19     is_a_theorem-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V0) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #636: mergings( V4 == V5; #634 ), references = 1, size of lhs = 4:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V1,V3) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #638: exists( #5, #634 ), references = 1, size of lhs = 3:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1), P_not-{F}(V1,V2) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #640: exists( #6, #637 ), references = 1, size of lhs = 2:
% 52.02/52.19     P_x-{F}(V0), P_y-{F}(V1) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #642: exists( #8, #639 ), references = 1, size of lhs = 1:
% 52.02/52.19     P_x-{F}(V0) | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  #644: exists( #7, #641 ), references = 1, size of lhs = 0:
% 52.02/52.19     FALSE | FALSE
% 52.02/52.19        (used 0 times, uses = {})
% 52.02/52.19  
% 52.02/52.19  number of learnt formulas = 101
% 52.02/52.19  
% 52.02/52.19  
% 52.02/52.19  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.02/52.19  
% 52.02/52.19  randbase = 1
%------------------------------------------------------------------------------