TSTP Solution File: LCL043-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n020.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 06:08:40 EDT 2022

% Result   : Unsatisfiable 179.04s 179.23s
% Output   : Refutation 179.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LCL043-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n020.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 22:58:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 179.04/179.23  GeoParameters:
% 179.04/179.23  
% 179.04/179.23  tptp_input =     1
% 179.04/179.23  tptp_output =    0
% 179.04/179.23  nonempty =       1
% 179.04/179.23  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 179.04/179.23  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 179.04/179.23  
% 179.04/179.23  
% 179.04/179.23  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 179.04/179.23  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 179.04/179.23  
% 179.04/179.23  RuleSystem INPUT:
% 179.04/179.23  
% 179.04/179.23  Initial Rules:
% 179.04/179.23  #0: input, references = 84, size of lhs = 3:
% 179.04/179.23     P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2), is_a_theorem-{F}(V1) | is_a_theorem-{T}(V0)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1: input, references = 40, size of lhs = 3:
% 179.04/179.23     P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2: input, references = 37, size of lhs = 2:
% 179.04/179.23     P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #3: input, references = 44, size of lhs = 5:
% 179.04/179.23     P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V4,V6,V7) | is_a_theorem-{T}(V7)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #4: input, references = 10, size of lhs = 5:
% 179.04/179.23     P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V1,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #5: input, references = 21, size of lhs = 5:
% 179.04/179.23     P_implies-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V1,V5), P_implies-{F}(V2,V5,V6) | is_a_theorem-{T}(V6)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #6: input, references = 10, size of lhs = 5:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #7: input, references = 126, size of lhs = 2:
% 179.04/179.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #8: input, references = 16, size of lhs = 1:
% 179.04/179.23     #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #9: input, references = 4, size of lhs = 0:
% 179.04/179.23     FALSE | EXISTS V0: P_a-{T}(V0)
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  number of initial rules = 10
% 179.04/179.23  
% 179.04/179.23  Simplifiers:
% 179.04/179.23  #10: unsound, references = 3, size of lhs = 3:
% 179.04/179.23     P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #11: unsound, references = 3, size of lhs = 3:
% 179.04/179.23     P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #12: unsound, references = 3, size of lhs = 3:
% 179.04/179.23     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  number of simplifiers = 3
% 179.04/179.23  
% 179.04/179.23  Learnt:
% 179.04/179.23  #15: exists( #7, #13 ), references = 1, size of lhs = 7:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V3,V4,V2), P_implies-{F}(V5,V6,V4), P_implies-{F}(V3,V6,V7), P_implies-{F}(V5,V7,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #23: exists( #7, #21 ), references = 5, size of lhs = 7:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V0,V5), P_implies-{F}(V5,V6,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #43: exists( #7, #41 ), references = 2, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V5,V6,V0), P_implies-{F}(V7,V5,V8), P_implies-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #50: exists( #7, #48 ), references = 3, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V5,V6,V0), P_implies-{F}(V7,V5,V8), P_implies-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #79: exists( #7, #77 ), references = 1, size of lhs = 11:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V4,V9), P_implies-{F}(V8,V7,V10), P_implies-{F}(V9,V10,V11), P_not-{F}(V11,V12), P_implies-{F}(V12,V13,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #91: exists( #7, #89 ), references = 3, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V5,V6,V0), P_implies-{F}(V7,V8,V6), P_implies-{F}(V5,V8,V9), P_implies-{F}(V7,V9,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #94: exists( #7, #92 ), references = 2, size of lhs = 8:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V4,V6,V7), P_implies-{F}(V8,V6,V5), P_implies-{F}(V9,V8,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #96: exists( #7, #93 ), references = 1, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_implies-{F}(V4,V4,V5), P_implies-{F}(V6,V5,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #98: exists( #7, #95 ), references = 2, size of lhs = 4:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V3,V3,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #100: exists( #8, #98 ), references = 1, size of lhs = 3:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V2,V2,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #102: exists( #8, #99 ), references = 1, size of lhs = 2:
% 179.04/179.23     P_a-{F}(V0), P_implies-{F}(V1,V1,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #114: exists( #7, #110 ), references = 3, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V8,V7,V9), P_not-{F}(V9,V10), P_implies-{F}(V10,V11,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #146: exists( #7, #140 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V1,V5,V6), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V0), P_implies-{F}(V8,V9,V10), P_implies-{F}(V10,V9,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #147: exists( #7, #141 ), references = 3, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_implies-{F}(V1,V11,V10), P_not-{F}(V11,V12), P_implies-{F}(V12,V13,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #148: exists( #7, #142 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_implies-{F}(V1,V11,V10), P_not-{F}(V12,V13), P_implies-{F}(V12,V14,V11), P_implies-{F}(V13,V14,V15), P_implies-{F}(V15,V14,V16), P_not-{F}(V16,V17), P_implies-{F}(V17,V18,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #152: exists( #7, #143 ), references = 5, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V6,V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #153: exists( #7, #144 ), references = 4, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_implies-{F}(V7,V8,V1), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #154: exists( #7, #145 ), references = 4, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_implies-{F}(V7,V8,V1), P_not-{F}(V9,V10), P_implies-{F}(V9,V11,V8), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V11,V13), P_not-{F}(V13,V14), P_implies-{F}(V14,V15,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #161: exists( #7, #155 ), references = 1, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V4), P_implies-{F}(V5,V4,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #162: exists( #7, #156 ), references = 1, size of lhs = 8:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V4), P_implies-{F}(V5,V4,V6), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #163: exists( #7, #157 ), references = 1, size of lhs = 12:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V8), P_implies-{F}(V6,V7,V9), P_implies-{F}(V9,V7,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V3), P_implies-{F}(V13,V4,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #168: mergings( V1 == V3, V3 == V0; #164 ), references = 1, size of lhs = 2:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #169: exists( #7, #159 ), references = 2, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V2), P_implies-{F}(V5,V3,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #177: exists( #7, #171 ), references = 3, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V5), P_implies-{F}(V7,V8,V6), P_implies-{F}(V9,V10,V8), P_implies-{F}(V7,V10,V11), P_implies-{F}(V9,V11,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #178: exists( #7, #172 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V0), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V4), P_implies-{F}(V10,V11,V5), P_implies-{F}(V12,V13,V11), P_implies-{F}(V10,V13,V14), P_implies-{F}(V12,V14,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #179: exists( #7, #173 ), references = 2, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V8), P_implies-{F}(V6,V7,V9), P_implies-{F}(V9,V7,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V4), P_implies-{F}(V13,V8,V0), P_not-{F}(V14,V13), P_implies-{F}(V15,V16,V14), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #186: exists( #7, #180 ), references = 1, size of lhs = 10:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V6,V5,V3), P_implies-{F}(V7,V8,V4), P_implies-{F}(V9,V10,V8), P_implies-{F}(V7,V10,V11), P_implies-{F}(V9,V11,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #187: exists( #7, #181 ), references = 1, size of lhs = 12:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V6,V5,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V3), P_implies-{F}(V10,V11,V4), P_implies-{F}(V12,V13,V11), P_implies-{F}(V10,V13,V14), P_implies-{F}(V12,V14,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #188: exists( #7, #182 ), references = 1, size of lhs = 16:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V4,V6,V7), P_implies-{F}(V5,V6,V8), P_implies-{F}(V8,V6,V9), P_not-{F}(V9,V10), P_implies-{F}(V10,V11,V3), P_not-{F}(V12,V13), P_implies-{F}(V14,V13,V7), P_implies-{F}(V15,V16,V12), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #205: exists( #7, #201 ), references = 2, size of lhs = 8:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V7,V6,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #206: exists( #7, #202 ), references = 3, size of lhs = 14:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), P_implies-{F}(V8,V6,V7), P_not-{F}(V9,V10), P_implies-{F}(V9,V11,V7), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V11,V13), P_not-{F}(V13,V14), P_implies-{F}(V14,V15,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #213: mergings( V6 == V8; #210 ), references = 1, size of lhs = 7:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V3), P_implies-{F}(V7,V5,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #215: mergings( V7 == V9; #211 ), references = 2, size of lhs = 13:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V5,V7), P_not-{F}(V9,V10), P_implies-{F}(V9,V11,V7), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V11,V13), P_not-{F}(V13,V14), P_implies-{F}(V14,V15,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #219: mergings( V0 == V1; #216 ), references = 1, size of lhs = 4:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_not-{F}(V2,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #226: exists( #7, #220 ), references = 1, size of lhs = 11:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V3), P_not-{F}(V7,V4), P_implies-{F}(V8,V9,V7), P_implies-{F}(V10,V11,V9), P_implies-{F}(V8,V11,V12), P_implies-{F}(V10,V12,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #227: exists( #7, #221 ), references = 2, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #231: exists( #7, #215 ), references = 1, size of lhs = 11:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V5,V7), P_not-{F}(V9,V10), P_implies-{F}(V9,V11,V7), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V11,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #232: exists( #7, #114 ), references = 1, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V8,V7,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #233: exists( #7, #206 ), references = 1, size of lhs = 12:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), P_implies-{F}(V8,V6,V7), P_not-{F}(V9,V10), P_implies-{F}(V9,V11,V7), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V11,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #246: exists( #7, #153 ), references = 10, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #247: exists( #7, #147 ), references = 3, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V1,V5,V6), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V0), P_implies-{F}(V8,V9,V10), P_implies-{F}(V10,V9,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #250: exists( #7, #248 ), references = 2, size of lhs = 9:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V4), P_implies-{F}(V5,V6,V4), P_implies-{F}(V7,V5,V8), P_implies-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #252: exists( #7, #23 ), references = 2, size of lhs = 5:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #269: exists( #7, #263 ), references = 1, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V0,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V4,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V4,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #271: exists( #7, #266 ), references = 3, size of lhs = 7:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V0,V5), P_not-{F}(V5,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #273: exists( #8, #270 ), references = 5, size of lhs = 5:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V3,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #304: mergings( V0 == V6; #300 ), references = 2, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V2), P_implies-{F}(V3,V5,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #338: exists( #7, #332 ), references = 6, size of lhs = 12:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V6), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V11,V9), P_implies-{F}(V8,V11,V12), P_implies-{F}(V10,V12,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #339: exists( #7, #333 ), references = 3, size of lhs = 14:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V8), P_implies-{F}(V8,V4,V9), P_implies-{F}(V6,V7,V10), P_implies-{F}(V10,V7,V9), P_implies-{F}(V11,V12,V0), P_implies-{F}(V13,V14,V12), P_implies-{F}(V11,V14,V15), P_implies-{F}(V13,V15,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #340: exists( #7, #334 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V4), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V11,V9), P_implies-{F}(V8,V11,V12), P_implies-{F}(V10,V12,V13), P_implies-{F}(V14,V15,V13), P_implies-{F}(V16,V14,V17), P_implies-{F}(V16,V15,V18), P_implies-{F}(V17,V18,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #346: exists( #7, #341 ), references = 1, size of lhs = 12:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V3,V9), P_not-{F}(V8,V10), P_implies-{F}(V10,V3,V9), P_implies-{F}(V11,V12,V7), P_implies-{F}(V4,V12,V13), P_implies-{F}(V11,V13,V9) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #347: exists( #7, #342 ), references = 1, size of lhs = 14:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_not-{F}(V8,V9), P_implies-{F}(V8,V10,V11), P_implies-{F}(V11,V3,V12), P_implies-{F}(V9,V10,V13), P_implies-{F}(V13,V10,V12), P_implies-{F}(V14,V15,V7), P_implies-{F}(V4,V15,V16), P_implies-{F}(V14,V16,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #349: exists( #7, #344 ), references = 2, size of lhs = 9:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V2), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V4), P_implies-{F}(V3,V7,V8), P_implies-{F}(V6,V9,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #375: exists( #7, #371 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V1,V4), P_not-{F}(V0,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V10,V8,V11), P_implies-{F}(V10,V9,V12), P_implies-{F}(V11,V12,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #377: exists( #7, #373 ), references = 4, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_implies-{F}(V4,V5,V6), P_implies-{F}(V7,V8,V6), P_implies-{F}(V9,V7,V3), P_implies-{F}(V9,V8,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #414: exists( #7, #410 ), references = 2, size of lhs = 11:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V3,V5), P_not-{F}(V4,V6), P_implies-{F}(V6,V3,V5), P_implies-{F}(V7,V8,V5), P_implies-{F}(V7,V9,V10), P_implies-{F}(V11,V9,V8), P_implies-{F}(V12,V11,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #416: exists( #7, #413 ), references = 2, size of lhs = 8:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V2), P_implies-{F}(V3,V5,V6), P_implies-{F}(V7,V5,V4), P_implies-{F}(V8,V7,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #418: exists( #7, #415 ), references = 1, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V2), P_implies-{F}(V5,V5,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #461: exists( #7, #459 ), references = 1, size of lhs = 8:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V7,V6,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #498: exists( #7, #492 ), references = 5, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_implies-{F}(V7,V8,V0), P_implies-{F}(V9,V7,V10), P_implies-{F}(V9,V8,V11), P_implies-{F}(V10,V11,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #499: exists( #7, #493 ), references = 5, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V6), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V1), P_implies-{F}(V9,V10,V0), P_implies-{F}(V11,V9,V12), P_implies-{F}(V11,V10,V13), P_implies-{F}(V12,V13,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #500: exists( #7, #494 ), references = 4, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V1), P_implies-{F}(V6,V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V12,V10,V4), P_implies-{F}(V12,V11,V2), P_implies-{F}(V13,V14,V0), P_implies-{F}(V15,V13,V16), P_implies-{F}(V15,V14,V17), P_implies-{F}(V16,V17,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #524: exists( #7, #518 ), references = 1, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V0), P_implies-{F}(V7,V5,V8), P_implies-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V13,V14,V12), P_implies-{F}(V11,V14,V15), P_implies-{F}(V13,V15,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #525: exists( #7, #519 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_implies-{F}(V7,V8,V0), P_implies-{F}(V9,V7,V10), P_implies-{F}(V9,V8,V11), P_implies-{F}(V10,V11,V12), P_implies-{F}(V13,V14,V12), P_implies-{F}(V15,V16,V14), P_implies-{F}(V13,V16,V17), P_implies-{F}(V15,V17,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #526: exists( #7, #520 ), references = 2, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V4,V6,V1), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V8,V11), P_implies-{F}(V10,V9,V12), P_implies-{F}(V11,V12,V13), P_not-{F}(V14,V15), P_implies-{F}(V15,V16,V7), P_implies-{F}(V17,V18,V13), P_implies-{F}(V19,V20,V18), P_implies-{F}(V17,V20,V21), P_implies-{F}(V19,V21,V14) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #530: exists( #7, #521 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V0), P_implies-{F}(V7,V5,V8), P_implies-{F}(V7,V6,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V8,V11,V12), P_implies-{F}(V10,V12,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #531: exists( #7, #522 ), references = 1, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_implies-{F}(V7,V8,V0), P_implies-{F}(V9,V7,V10), P_implies-{F}(V9,V8,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V10,V13,V14), P_implies-{F}(V12,V14,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #558: exists( #7, #552 ), references = 3, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V0), P_implies-{F}(V7,V5,V8), P_implies-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #559: exists( #7, #553 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_implies-{F}(V7,V8,V0), P_implies-{F}(V9,V7,V10), P_implies-{F}(V9,V8,V11), P_implies-{F}(V10,V11,V12), P_not-{F}(V12,V13), P_implies-{F}(V13,V14,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #560: exists( #7, #554 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V4,V6,V1), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V8,V11), P_implies-{F}(V10,V9,V12), P_implies-{F}(V11,V12,V13), P_not-{F}(V13,V14), P_implies-{F}(V14,V15,V16), P_not-{F}(V16,V17), P_implies-{F}(V17,V18,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #580: exists( #7, #575 ), references = 1, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V8), P_implies-{F}(V6,V7,V9), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V0), P_implies-{F}(V12,V10,V13), P_implies-{F}(V12,V11,V14), P_implies-{F}(V13,V14,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #581: exists( #7, #576 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V10), P_implies-{F}(V8,V9,V11), P_implies-{F}(V11,V9,V6), P_implies-{F}(V12,V13,V0), P_implies-{F}(V14,V12,V15), P_implies-{F}(V14,V13,V16), P_implies-{F}(V15,V16,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #584: exists( #7, #578 ), references = 1, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V8), P_implies-{F}(V6,V7,V9), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V0), P_implies-{F}(V12,V10,V13), P_implies-{F}(V12,V11,V14), P_implies-{F}(V13,V14,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #585: exists( #7, #579 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V10), P_implies-{F}(V8,V9,V11), P_implies-{F}(V11,V9,V6), P_implies-{F}(V12,V13,V0), P_implies-{F}(V14,V12,V15), P_implies-{F}(V14,V13,V16), P_implies-{F}(V15,V16,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #631: exists( #7, #625 ), references = 4, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V0,V6), P_implies-{F}(V7,V5,V1), P_not-{F}(V8,V7), P_implies-{F}(V8,V5,V9), P_implies-{F}(V6,V10,V9) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #632: exists( #7, #626 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_implies-{F}(V4,V5,V6), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V12,V10,V3), P_implies-{F}(V12,V11,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #640: exists( #7, #636 ), references = 1, size of lhs = 13:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V4,V6,V7), P_implies-{F}(V7,V3,V8), P_implies-{F}(V5,V6,V9), P_implies-{F}(V9,V6,V8), P_implies-{F}(V10,V11,V7), P_implies-{F}(V10,V12,V13), P_implies-{F}(V14,V12,V11), P_implies-{F}(V15,V14,V13) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #721: exists( #7, #715 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_implies-{F}(V11,V5,V10), P_implies-{F}(V12,V13,V1), P_implies-{F}(V14,V12,V15), P_implies-{F}(V14,V13,V16), P_implies-{F}(V15,V16,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #722: exists( #7, #716 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_implies-{F}(V8,V10,V0), P_implies-{F}(V9,V10,V11), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V7,V12), P_implies-{F}(V14,V15,V1), P_implies-{F}(V16,V14,V17), P_implies-{F}(V16,V15,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #723: exists( #7, #717 ), references = 1, size of lhs = 19:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V8,V7,V9), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V11,V13,V14), P_implies-{F}(V15,V16,V14), P_implies-{F}(V17,V15,V4), P_implies-{F}(V17,V16,V2), P_implies-{F}(V18,V19,V1), P_implies-{F}(V20,V18,V21), P_implies-{F}(V20,V19,V22), P_implies-{F}(V21,V22,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #727: exists( #7, #718 ), references = 7, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V1), P_implies-{F}(V11,V9,V12), P_implies-{F}(V11,V10,V13), P_implies-{F}(V12,V13,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #728: exists( #7, #719 ), references = 2, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V6), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V0), P_not-{F}(V8,V9), P_implies-{F}(V9,V7,V10), P_implies-{F}(V11,V12,V1), P_implies-{F}(V13,V11,V14), P_implies-{F}(V13,V12,V15), P_implies-{F}(V14,V15,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #730: exists( #7, #727 ), references = 7, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V0), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V1), P_implies-{F}(V10,V8,V7), P_implies-{F}(V10,V9,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #733: exists( #7, #731 ), references = 3, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V4), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V8,V6), P_implies-{F}(V10,V9,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #740: exists( #8, #304 ), references = 1, size of lhs = 4:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_implies-{F}(V2,V3,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #741: exists( #8, #349 ), references = 1, size of lhs = 7:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V5,V1), P_implies-{F}(V2,V5,V6), P_implies-{F}(V4,V7,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #750: exists( #8, #169 ), references = 1, size of lhs = 4:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_implies-{F}(V3,V2,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #751: exists( #8, #250 ), references = 1, size of lhs = 7:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_implies-{F}(V3,V4,V2), P_implies-{F}(V5,V3,V6), P_implies-{F}(V5,V4,V7), P_implies-{F}(V6,V7,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #777: exists( #7, #414 ), references = 1, size of lhs = 9:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V3,V5), P_not-{F}(V4,V6), P_implies-{F}(V6,V3,V5), P_implies-{F}(V7,V7,V8), P_implies-{F}(V9,V8,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #811: exists( #7, #805 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_implies-{F}(V4,V7,V8), P_implies-{F}(V9,V6,V8), P_not-{F}(V9,V10), P_implies-{F}(V11,V12,V1), P_implies-{F}(V13,V11,V10), P_implies-{F}(V13,V12,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #839: exists( #7, #833 ), references = 1, size of lhs = 7:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V3,V6,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #840: exists( #7, #835 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V3,V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V10,V8,V11), P_implies-{F}(V10,V9,V12), P_implies-{F}(V11,V12,V13), P_not-{F}(V13,V14), P_implies-{F}(V14,V15,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #848: exists( #7, #811 ), references = 3, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V4,V5), P_not-{F}(V6,V6), P_not-{F}(V7,V6), P_implies-{F}(V8,V9,V1), P_implies-{F}(V10,V8,V5), P_implies-{F}(V10,V9,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #865: exists( #7, #863 ), references = 3, size of lhs = 12:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V6,V4,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V10,V11,V8), P_implies-{F}(V10,V12,V9), P_implies-{F}(V13,V11,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #870: exists( #7, #840 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V3,V7), P_implies-{F}(V6,V8,V9), P_implies-{F}(V7,V9,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #900: exists( #7, #897 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V3), P_not-{F}(V6,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V5), P_implies-{F}(V6,V5,V10), P_implies-{F}(V4,V11,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #935: exists( #7, #933 ), references = 1, size of lhs = 5:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #969: exists( #7, #967 ), references = 1, size of lhs = 7:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V3,V4,V2), P_implies-{F}(V5,V3,V6), P_implies-{F}(V5,V4,V7), P_implies-{F}(V6,V7,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #998: exists( #7, #992 ), references = 3, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V7), P_not-{F}(V6,V8), P_implies-{F}(V9,V10,V1), P_implies-{F}(V11,V9,V8), P_implies-{F}(V11,V10,V5), P_implies-{F}(V12,V13,V0), P_implies-{F}(V14,V15,V13), P_implies-{F}(V12,V15,V16), P_implies-{F}(V14,V16,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1019: exists( #7, #1013 ), references = 2, size of lhs = 12:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V3,V6,V7), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V5), P_implies-{F}(V11,V12,V7), P_implies-{F}(V13,V11,V9), P_implies-{F}(V13,V12,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1020: exists( #7, #1014 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_implies-{F}(V7,V6,V1), P_not-{F}(V7,V8), P_implies-{F}(V4,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V13,V11,V8), P_implies-{F}(V13,V12,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1021: exists( #7, #1015 ), references = 3, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_implies-{F}(V4,V7,V8), P_implies-{F}(V9,V6,V10), P_not-{F}(V9,V11), P_implies-{F}(V12,V13,V8), P_implies-{F}(V14,V12,V11), P_implies-{F}(V14,V13,V6), P_implies-{F}(V15,V16,V1), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1038: exists( #7, #1021 ), references = 2, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_implies-{F}(V4,V7,V8), P_not-{F}(V9,V10), P_implies-{F}(V11,V12,V8), P_implies-{F}(V13,V11,V10), P_implies-{F}(V13,V12,V6), P_implies-{F}(V9,V14,V15), P_implies-{F}(V16,V15,V1), P_implies-{F}(V16,V14,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1050: exists( #7, #1048 ), references = 3, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V3,V10,V11), P_implies-{F}(V12,V5,V13), P_not-{F}(V12,V14), P_implies-{F}(V15,V16,V11), P_implies-{F}(V17,V15,V14), P_implies-{F}(V17,V16,V5), P_implies-{F}(V18,V19,V9), P_implies-{F}(V6,V19,V20), P_implies-{F}(V18,V20,V13) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1075: exists( #7, #1069 ), references = 1, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V0,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1083: exists( #7, #1050 ), references = 2, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V5), P_implies-{F}(V7,V9,V10), P_implies-{F}(V11,V8,V10), P_not-{F}(V11,V12), P_implies-{F}(V3,V13,V14), P_implies-{F}(V15,V16,V14), P_implies-{F}(V17,V15,V12), P_implies-{F}(V17,V16,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1146: exists( #7, #1140 ), references = 4, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V11,V12,V10), P_implies-{F}(V9,V12,V13), P_implies-{F}(V11,V13,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1204: exists( #7, #1198 ), references = 1, size of lhs = 12:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V7,V8), P_implies-{F}(V8,V5,V9), P_implies-{F}(V7,V5,V10), P_implies-{F}(V6,V11,V10), P_implies-{F}(V12,V0,V9) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1206: exists( #7, #1083 ), references = 1, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V5), P_implies-{F}(V7,V9,V10), P_implies-{F}(V11,V8,V10), P_not-{F}(V11,V12), P_implies-{F}(V13,V3,V12), P_implies-{F}(V13,V14,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1212: exists( #7, #1208 ), references = 3, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V6,V4,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V10,V11,V8), P_implies-{F}(V10,V12,V9), P_implies-{F}(V13,V14,V11), P_implies-{F}(V15,V16,V14), P_implies-{F}(V13,V16,V17), P_implies-{F}(V15,V17,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1213: exists( #7, #1209 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_implies-{F}(V7,V6,V0), P_not-{F}(V7,V8), P_implies-{F}(V8,V6,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V12,V13,V10), P_implies-{F}(V12,V14,V11), P_implies-{F}(V15,V16,V13), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V14) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1215: exists( #7, #1050 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V5,V11), P_not-{F}(V10,V12), P_implies-{F}(V13,V3,V12), P_implies-{F}(V13,V14,V5), P_implies-{F}(V15,V16,V9), P_implies-{F}(V6,V16,V17), P_implies-{F}(V15,V17,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1235: exists( #7, #1229 ), references = 1, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V6), P_implies-{F}(V8,V0,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V12,V13,V11), P_implies-{F}(V10,V13,V14), P_implies-{F}(V12,V14,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1237: exists( #7, #1232 ), references = 1, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V3), P_implies-{F}(V6,V0,V7), P_implies-{F}(V4,V8,V9), P_implies-{F}(V10,V9,V7), P_implies-{F}(V10,V8,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1283: exists( #7, #1277 ), references = 1, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V0,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V5,V9), P_not-{F}(V11,V10), P_implies-{F}(V11,V5,V12), P_implies-{F}(V6,V13,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1285: exists( #7, #1280 ), references = 2, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V0,V7), P_not-{F}(V8,V7), P_implies-{F}(V8,V5,V9), P_implies-{F}(V6,V10,V9) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1301: exists( #7, #1295 ), references = 1, size of lhs = 14:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V0,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V4,V9), P_not-{F}(V8,V10), P_implies-{F}(V10,V4,V9), P_implies-{F}(V11,V12,V7), P_implies-{F}(V13,V14,V12), P_implies-{F}(V11,V14,V15), P_implies-{F}(V13,V15,V9) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1302: exists( #7, #1296 ), references = 2, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_not-{F}(V0,V9), P_implies-{F}(V9,V10,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V14,V15,V13), P_implies-{F}(V12,V15,V16), P_implies-{F}(V14,V16,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1304: exists( #7, #1298 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V5), P_not-{F}(V6,V3), P_implies-{F}(V4,V7,V8), P_implies-{F}(V5,V9,V10), P_implies-{F}(V11,V10,V8), P_implies-{F}(V11,V9,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1353: exists( #7, #1347 ), references = 2, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V6), P_implies-{F}(V8,V9,V6), P_implies-{F}(V8,V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V12,V11,V13), P_implies-{F}(V14,V15,V0), P_implies-{F}(V16,V17,V15), P_implies-{F}(V14,V17,V18), P_implies-{F}(V16,V18,V13) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1354: exists( #7, #1348 ), references = 2, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V8), P_implies-{F}(V9,V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V13,V12,V14), P_implies-{F}(V15,V16,V0), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V14) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1356: exists( #7, #1350 ), references = 3, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V3), P_implies-{F}(V4,V6,V7), P_implies-{F}(V8,V6,V5), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V11,V0), P_implies-{F}(V12,V13,V11), P_implies-{F}(V10,V13,V14), P_implies-{F}(V12,V14,V9) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1359: exists( #7, #1357 ), references = 1, size of lhs = 12:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V2), P_implies-{F}(V3,V5,V6), P_implies-{F}(V7,V5,V4), P_implies-{F}(V7,V6,V8), P_implies-{F}(V9,V10,V8), P_implies-{F}(V9,V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V14,V13,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1361: exists( #8, #1358 ), references = 1, size of lhs = 10:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_implies-{F}(V2,V3,V4), P_implies-{F}(V5,V3,V1), P_implies-{F}(V5,V4,V6), P_implies-{F}(V7,V8,V6), P_implies-{F}(V7,V9,V10), P_implies-{F}(V11,V9,V8), P_implies-{F}(V12,V11,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1363: exists( #7, #1360 ), references = 2, size of lhs = 8:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_implies-{F}(V2,V3,V4), P_implies-{F}(V5,V3,V1), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V6,V4), P_implies-{F}(V9,V8,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1365: exists( #7, #1363 ), references = 1, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_implies-{F}(V2,V3,V4), P_implies-{F}(V5,V3,V1), P_implies-{F}(V6,V6,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1390: exists( #7, #1384 ), references = 2, size of lhs = 14:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V4), P_implies-{F}(V8,V9,V6), P_implies-{F}(V8,V10,V4), P_implies-{F}(V9,V10,V11), P_implies-{F}(V12,V13,V0), P_implies-{F}(V14,V15,V13), P_implies-{F}(V12,V15,V16), P_implies-{F}(V14,V16,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1391: exists( #7, #1385 ), references = 2, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V8,V10,V5), P_implies-{F}(V9,V10,V11), P_implies-{F}(V12,V13,V0), P_implies-{F}(V14,V15,V13), P_implies-{F}(V12,V15,V16), P_implies-{F}(V14,V16,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1392: exists( #7, #1386 ), references = 2, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V11,V12,V10), P_implies-{F}(V9,V12,V13), P_implies-{F}(V11,V13,V14), P_implies-{F}(V15,V16,V14), P_implies-{F}(V17,V15,V18), P_implies-{F}(V17,V16,V19), P_implies-{F}(V18,V19,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1402: exists( #7, #1396 ), references = 1, size of lhs = 13:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V3), P_implies-{F}(V7,V8,V5), P_implies-{F}(V7,V9,V3), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V11,V13,V14), P_implies-{F}(V15,V13,V12), P_implies-{F}(V16,V15,V14) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1403: exists( #7, #1397 ), references = 2, size of lhs = 14:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V6), P_implies-{F}(V7,V9,V4), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V11,V13,V14), P_implies-{F}(V15,V13,V12), P_implies-{F}(V16,V15,V14) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1404: exists( #7, #1398 ), references = 1, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V6,V4,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V10,V11,V8), P_implies-{F}(V10,V12,V9), P_implies-{F}(V11,V12,V13), P_implies-{F}(V14,V15,V13), P_implies-{F}(V14,V16,V17), P_implies-{F}(V18,V16,V15), P_implies-{F}(V19,V18,V17) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1418: exists( #7, #377 ), references = 1, size of lhs = 7:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_implies-{F}(V5,V4,V3), P_implies-{F}(V5,V6,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1428: exists( #7, #1354 ), references = 4, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V8), P_implies-{F}(V9,V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V13,V14,V15), P_implies-{F}(V16,V15,V0), P_implies-{F}(V16,V14,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1429: exists( #7, #1356 ), references = 2, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V3), P_implies-{F}(V4,V6,V7), P_implies-{F}(V8,V6,V5), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V10,V0), P_implies-{F}(V11,V9,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1430: exists( #7, #1353 ), references = 3, size of lhs = 14:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V6), P_implies-{F}(V8,V9,V6), P_implies-{F}(V8,V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V12,V13,V14), P_implies-{F}(V15,V14,V0), P_implies-{F}(V15,V13,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1437: exists( #7, #1431 ), references = 2, size of lhs = 11:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V2), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V8), P_implies-{F}(V3,V9,V10), P_implies-{F}(V11,V9,V4), P_implies-{F}(V11,V12,V8), P_implies-{F}(V5,V12,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1438: exists( #7, #1432 ), references = 1, size of lhs = 14:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V3,V9), P_not-{F}(V8,V10), P_implies-{F}(V10,V3,V9), P_implies-{F}(V11,V12,V7), P_implies-{F}(V4,V12,V13), P_implies-{F}(V14,V15,V13), P_implies-{F}(V11,V15,V16), P_implies-{F}(V14,V16,V9) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1439: exists( #7, #1433 ), references = 2, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V6,V4,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V8,V13,V14), P_implies-{F}(V15,V16,V14), P_implies-{F}(V12,V16,V17), P_implies-{F}(V15,V17,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1444: exists( #7, #94 ), references = 1, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V4), P_implies-{F}(V5,V3,V0), P_implies-{F}(V6,V5,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1452: exists( #7, #1439 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V7,V12,V13), P_implies-{F}(V6,V14,V13), P_implies-{F}(V11,V14,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1454: exists( #7, #91 ), references = 2, size of lhs = 7:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V5), P_implies-{F}(V6,V5,V0), P_implies-{F}(V6,V4,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1493: exists( #7, #1487 ), references = 2, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V4,V9), P_not-{F}(V10,V11), P_implies-{F}(V11,V4,V12), P_implies-{F}(V13,V14,V12), P_implies-{F}(V15,V16,V13), P_implies-{F}(V15,V17,V14), P_implies-{F}(V18,V16,V17) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1494: exists( #7, #1488 ), references = 2, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_implies-{F}(V11,V5,V10), P_not-{F}(V11,V12), P_implies-{F}(V12,V5,V13), P_implies-{F}(V14,V15,V1), P_implies-{F}(V16,V14,V17), P_implies-{F}(V16,V15,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1495: exists( #7, #1489 ), references = 2, size of lhs = 19:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V4,V9), P_not-{F}(V10,V11), P_implies-{F}(V11,V4,V12), P_implies-{F}(V13,V14,V12), P_implies-{F}(V15,V16,V13), P_implies-{F}(V15,V17,V14), P_implies-{F}(V18,V19,V16), P_implies-{F}(V20,V21,V19), P_implies-{F}(V18,V21,V22), P_implies-{F}(V20,V22,V17) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1503: mergings( V7 == V9; #1499 ), references = 1, size of lhs = 18:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V5,V7,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V3,V9), P_not-{F}(V10,V11), P_implies-{F}(V11,V3,V12), P_implies-{F}(V13,V14,V12), P_implies-{F}(V15,V16,V13), P_implies-{F}(V15,V17,V14), P_implies-{F}(V18,V19,V16), P_implies-{F}(V20,V21,V19), P_implies-{F}(V18,V21,V22), P_implies-{F}(V20,V22,V17) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1505: mergings( V7 == V9; #1500 ), references = 1, size of lhs = 15:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V5,V7,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V3,V9), P_not-{F}(V10,V11), P_implies-{F}(V11,V3,V12), P_implies-{F}(V13,V14,V12), P_implies-{F}(V15,V16,V13), P_implies-{F}(V15,V17,V14), P_implies-{F}(V18,V16,V17) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1507: mergings( V8 == V10; #1501 ), references = 1, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V8), P_implies-{F}(V6,V8,V9), P_implies-{F}(V9,V8,V10), P_implies-{F}(V11,V4,V10), P_not-{F}(V11,V12), P_implies-{F}(V12,V4,V13), P_implies-{F}(V14,V15,V0), P_implies-{F}(V16,V14,V17), P_implies-{F}(V16,V15,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1518: exists( #7, #526 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V1), P_implies-{F}(V4,V6,V3), P_not-{F}(V7,V6), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V8,V11), P_implies-{F}(V10,V9,V12), P_implies-{F}(V11,V12,V13), P_implies-{F}(V14,V15,V13), P_implies-{F}(V16,V17,V15), P_implies-{F}(V14,V17,V18), P_implies-{F}(V16,V18,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1530: exists( #7, #1526 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V6,V4,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V8,V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V12,V13,V14), P_implies-{F}(V15,V13,V11), P_implies-{F}(V16,V17,V15), P_implies-{F}(V18,V19,V17), P_implies-{F}(V16,V19,V20), P_implies-{F}(V18,V20,V14) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1551: exists( #7, #1545 ), references = 1, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V11,V12,V10), P_implies-{F}(V9,V12,V13), P_implies-{F}(V11,V13,V6), P_implies-{F}(V14,V15,V8), P_implies-{F}(V16,V17,V14), P_implies-{F}(V16,V18,V15), P_implies-{F}(V19,V17,V18) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1552: exists( #7, #1546 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V7), P_not-{F}(V6,V8), P_implies-{F}(V8,V5,V9), P_implies-{F}(V10,V11,V1), P_implies-{F}(V12,V10,V13), P_implies-{F}(V12,V11,V14), P_implies-{F}(V13,V14,V9), P_implies-{F}(V15,V16,V0), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1553: exists( #7, #1547 ), references = 1, size of lhs = 19:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V11,V12,V10), P_implies-{F}(V9,V12,V13), P_implies-{F}(V11,V13,V6), P_implies-{F}(V14,V15,V8), P_implies-{F}(V16,V17,V14), P_implies-{F}(V16,V18,V15), P_implies-{F}(V19,V20,V17), P_implies-{F}(V21,V22,V20), P_implies-{F}(V19,V22,V23), P_implies-{F}(V21,V23,V18) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1565: exists( #7, #1560 ), references = 1, size of lhs = 7:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V5,V0), P_implies-{F}(V2,V5,V6), P_implies-{F}(V4,V7,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1566: exists( #7, #1561 ), references = 1, size of lhs = 9:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V4,V9,V10), P_implies-{F}(V8,V10,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1570: exists( #7, #1567 ), references = 1, size of lhs = 5:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V3,V4,V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1668: exists( #7, #1662 ), references = 1, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V4), P_implies-{F}(V8,V9,V6), P_implies-{F}(V8,V10,V4), P_implies-{F}(V9,V10,V11), P_not-{F}(V12,V13), P_implies-{F}(V13,V14,V11), P_implies-{F}(V15,V16,V0), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1669: exists( #7, #1663 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V8,V10,V5), P_implies-{F}(V9,V10,V11), P_not-{F}(V12,V13), P_implies-{F}(V13,V14,V11), P_implies-{F}(V15,V16,V0), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1670: exists( #7, #1664 ), references = 1, size of lhs = 19:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V8,V10,V5), P_implies-{F}(V9,V10,V11), P_implies-{F}(V6,V12,V13), P_implies-{F}(V14,V13,V1), P_implies-{F}(V14,V12,V5), P_not-{F}(V15,V16), P_implies-{F}(V16,V17,V11), P_implies-{F}(V18,V19,V0), P_implies-{F}(V20,V21,V19), P_implies-{F}(V18,V21,V22), P_implies-{F}(V20,V22,V15) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1679: exists( #7, #1677 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_not-{F}(V10,V11), P_not-{F}(V11,V12), P_implies-{F}(V13,V14,V1), P_implies-{F}(V15,V13,V12), P_implies-{F}(V15,V14,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1696: exists( #7, #1285 ), references = 4, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V0,V7), P_not-{F}(V6,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1698: exists( #8, #1695 ), references = 3, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V0,V7), P_not-{F}(V6,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1710: exists( #7, #1704 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_not-{F}(V9,V10), P_implies-{F}(V9,V11,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V11,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1711: exists( #7, #1705 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_not-{F}(V9,V10), P_implies-{F}(V9,V11,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V11,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1726: exists( #8, #1710 ), references = 2, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V0), P_implies-{F}(V8,V9,V10), P_implies-{F}(V10,V9,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1727: exists( #8, #1711 ), references = 2, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V0), P_implies-{F}(V8,V9,V10), P_implies-{F}(V10,V9,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1745: exists( #7, #1739 ), references = 1, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), P_implies-{F}(V6,V7,V8), P_implies-{F}(V8,V7,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1746: exists( #7, #1740 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V0), P_implies-{F}(V8,V9,V10), P_implies-{F}(V10,V9,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1748: mergings( V11 == V12; #1744 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V7,V9,V0), P_implies-{F}(V8,V9,V10), P_implies-{F}(V10,V9,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1806: exists( #7, #1800 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V1), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_not-{F}(V11,V10), P_implies-{F}(V12,V13,V0), P_implies-{F}(V14,V15,V13), P_implies-{F}(V12,V15,V16), P_implies-{F}(V14,V16,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1807: exists( #7, #1801 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V1), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_not-{F}(V11,V10), P_implies-{F}(V12,V13,V0), P_implies-{F}(V14,V15,V13), P_implies-{F}(V12,V15,V16), P_implies-{F}(V14,V16,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1822: mergings( V6 == V8; #1820 ), references = 1, size of lhs = 13:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V5,V6,V3), P_implies-{F}(V7,V8,V5), P_implies-{F}(V7,V9,V3), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V11,V13,V14), P_implies-{F}(V15,V13,V12), P_implies-{F}(V16,V15,V14) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1833: exists( #7, #998 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V1), P_implies-{F}(V10,V8,V7), P_implies-{F}(V10,V9,V5), P_implies-{F}(V6,V11,V12), P_implies-{F}(V13,V12,V0), P_implies-{F}(V13,V11,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1836: exists( #7, #1834 ), references = 1, size of lhs = 12:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V0), P_implies-{F}(V9,V7,V6), P_implies-{F}(V9,V8,V4), P_implies-{F}(V5,V10,V11), P_implies-{F}(V12,V10,V4), P_implies-{F}(V13,V12,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1940: exists( #7, #1934 ), references = 2, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V8,V13,V14), P_implies-{F}(V7,V15,V14), P_implies-{F}(V12,V15,V4), P_implies-{F}(V16,V17,V0), P_implies-{F}(V18,V19,V17), P_implies-{F}(V16,V19,V20), P_implies-{F}(V18,V20,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1941: exists( #7, #1935 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V6), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V11,V12,V10), P_implies-{F}(V9,V12,V13), P_implies-{F}(V11,V13,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1942: exists( #7, #1936 ), references = 1, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V8), P_implies-{F}(V9,V10,V6), P_implies-{F}(V11,V12,V10), P_implies-{F}(V9,V12,V13), P_implies-{F}(V11,V13,V8), P_implies-{F}(V14,V15,V0), P_implies-{F}(V16,V17,V15), P_implies-{F}(V14,V17,V18), P_implies-{F}(V16,V18,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1962: exists( #7, #1958 ), references = 1, size of lhs = 16:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V3,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V7,V12,V13), P_implies-{F}(V6,V14,V13), P_implies-{F}(V11,V14,V3), P_implies-{F}(V15,V16,V5), P_implies-{F}(V15,V17,V18), P_implies-{F}(V19,V17,V16), P_implies-{F}(V20,V19,V18) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1963: exists( #7, #1959 ), references = 1, size of lhs = 12:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V5), P_implies-{F}(V6,V4,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V8,V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V13,V12,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1966: exists( #7, #1960 ), references = 1, size of lhs = 14:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V6,V11,V12), P_implies-{F}(V5,V13,V12), P_implies-{F}(V10,V13,V3), P_implies-{F}(V4,V14,V15), P_implies-{F}(V16,V14,V3), P_implies-{F}(V17,V16,V15) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #1967: exists( #7, #1961 ), references = 1, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V5), P_implies-{F}(V6,V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V9,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2000: exists( #7, #1996 ), references = 1, size of lhs = 18:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V6), P_implies-{F}(V8,V9,V6), P_implies-{F}(V8,V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V12,V13,V14), P_implies-{F}(V15,V13,V11), P_implies-{F}(V15,V14,V16), P_implies-{F}(V17,V18,V0), P_implies-{F}(V19,V20,V18), P_implies-{F}(V17,V20,V21), P_implies-{F}(V19,V21,V16) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2001: exists( #7, #1997 ), references = 1, size of lhs = 19:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V8), P_implies-{F}(V9,V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V13,V14,V15), P_implies-{F}(V16,V14,V12), P_implies-{F}(V16,V15,V17), P_implies-{F}(V18,V19,V0), P_implies-{F}(V20,V21,V19), P_implies-{F}(V18,V21,V22), P_implies-{F}(V20,V22,V17) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2004: exists( #7, #1998 ), references = 1, size of lhs = 18:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V4,V6), P_implies-{F}(V8,V9,V6), P_implies-{F}(V8,V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V12,V13,V14), P_implies-{F}(V15,V13,V11), P_implies-{F}(V15,V14,V16), P_implies-{F}(V17,V18,V0), P_implies-{F}(V19,V20,V18), P_implies-{F}(V17,V20,V21), P_implies-{F}(V19,V21,V16) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2005: exists( #7, #1999 ), references = 1, size of lhs = 19:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V7,V5,V8), P_implies-{F}(V9,V10,V8), P_implies-{F}(V9,V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V13,V14,V15), P_implies-{F}(V16,V14,V12), P_implies-{F}(V16,V15,V17), P_implies-{F}(V18,V19,V0), P_implies-{F}(V20,V21,V19), P_implies-{F}(V18,V21,V22), P_implies-{F}(V20,V22,V17) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2072: exists( #7, #2068 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V4), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V11,V9), P_implies-{F}(V8,V11,V12), P_implies-{F}(V10,V12,V13), P_implies-{F}(V14,V15,V13), P_implies-{F}(V16,V14,V17), P_implies-{F}(V16,V15,V18), P_implies-{F}(V17,V18,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2073: exists( #7, #2069 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V6), P_implies-{F}(V10,V11,V0), P_implies-{F}(V12,V13,V11), P_implies-{F}(V10,V13,V14), P_implies-{F}(V12,V14,V15), P_implies-{F}(V16,V17,V15), P_implies-{F}(V18,V16,V19), P_implies-{F}(V18,V17,V20), P_implies-{F}(V19,V20,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2076: exists( #7, #2070 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V4), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V11,V9), P_implies-{F}(V8,V11,V12), P_implies-{F}(V10,V12,V13), P_implies-{F}(V14,V15,V13), P_implies-{F}(V16,V14,V17), P_implies-{F}(V16,V15,V18), P_implies-{F}(V17,V18,V5) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2077: exists( #7, #2071 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V6), P_implies-{F}(V10,V11,V0), P_implies-{F}(V12,V13,V11), P_implies-{F}(V10,V13,V14), P_implies-{F}(V12,V14,V15), P_implies-{F}(V16,V17,V15), P_implies-{F}(V18,V16,V19), P_implies-{F}(V18,V17,V20), P_implies-{F}(V19,V20,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2100: exists( #7, #2096 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V1), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_implies-{F}(V11,V5,V10), P_implies-{F}(V12,V13,V0), P_implies-{F}(V14,V15,V13), P_implies-{F}(V12,V15,V16), P_implies-{F}(V14,V16,V11) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2101: exists( #7, #2097 ), references = 1, size of lhs = 17:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V1), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V8,V10), P_not-{F}(V11,V12), P_implies-{F}(V12,V13,V5), P_implies-{F}(V14,V11,V10), P_implies-{F}(V15,V16,V0), P_implies-{F}(V17,V18,V16), P_implies-{F}(V15,V18,V19), P_implies-{F}(V17,V19,V14) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2147: exists( #7, #2141 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V8,V0), P_implies-{F}(V9,V10,V8), P_implies-{F}(V7,V10,V11), P_implies-{F}(V9,V11,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2148: exists( #7, #2143 ), references = 1, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V7,V5), P_implies-{F}(V8,V7,V9), P_implies-{F}(V1,V9,V10), P_not-{F}(V9,V11), P_not-{F}(V11,V12), P_implies-{F}(V6,V8,V12), P_implies-{F}(V13,V14,V0), P_implies-{F}(V15,V16,V14), P_implies-{F}(V13,V16,V17), P_implies-{F}(V15,V17,V10) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2149: exists( #7, #2142 ), references = 1, size of lhs = 16:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V4), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V7), P_not-{F}(V6,V8), P_implies-{F}(V1,V9,V7), P_implies-{F}(V10,V11,V9), P_implies-{F}(V12,V10,V8), P_implies-{F}(V12,V11,V5), P_implies-{F}(V13,V14,V0), P_implies-{F}(V15,V16,V14), P_implies-{F}(V13,V16,V17), P_implies-{F}(V15,V17,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2156: exists( #7, #2150 ), references = 1, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V0,V4,V5), P_implies-{F}(V6,V7,V5), P_implies-{F}(V6,V8,V9), P_implies-{F}(V10,V8,V7), P_implies-{F}(V11,V10,V9) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2157: exists( #7, #2151 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V4), P_implies-{F}(V7,V6,V8), P_implies-{F}(V0,V8,V9), P_not-{F}(V8,V10), P_not-{F}(V10,V11), P_implies-{F}(V5,V7,V11), P_implies-{F}(V12,V13,V9), P_implies-{F}(V12,V14,V15), P_implies-{F}(V16,V14,V13), P_implies-{F}(V17,V16,V15) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2158: exists( #7, #2152 ), references = 1, size of lhs = 15:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V0,V8,V6), P_implies-{F}(V9,V10,V8), P_implies-{F}(V11,V9,V7), P_implies-{F}(V11,V10,V4), P_implies-{F}(V12,V13,V6), P_implies-{F}(V12,V14,V15), P_implies-{F}(V16,V14,V13), P_implies-{F}(V17,V16,V15) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2161: exists( #7, #2153 ), references = 2, size of lhs = 8:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V0,V5,V6), P_implies-{F}(V7,V5,V4), P_implies-{F}(V8,V7,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2162: exists( #7, #2154 ), references = 2, size of lhs = 13:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V4), P_implies-{F}(V7,V6,V8), P_not-{F}(V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V5,V7,V10), P_implies-{F}(V0,V11,V12), P_implies-{F}(V13,V11,V8), P_implies-{F}(V14,V13,V12) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2168: exists( #8, #1437 ), references = 1, size of lhs = 9:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V6), P_implies-{F}(V2,V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V9,V10,V6), P_implies-{F}(V3,V10,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2170: exists( #7, #2167 ), references = 1, size of lhs = 7:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V1), P_implies-{F}(V2,V5,V6), P_implies-{F}(V3,V7,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2175: exists( #8, #416 ), references = 1, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_implies-{F}(V2,V3,V4), P_implies-{F}(V5,V3,V1), P_implies-{F}(V6,V5,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2181: exists( #7, #2161 ), references = 1, size of lhs = 6:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V5,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2182: exists( #7, #2162 ), references = 1, size of lhs = 11:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V4), P_implies-{F}(V7,V6,V8), P_not-{F}(V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V5,V7,V10), P_implies-{F}(V11,V11,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2187: exists( #7, #2183 ), references = 1, size of lhs = 6:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V4,V3), P_implies-{F}(V5,V6,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2188: exists( #7, #2184 ), references = 1, size of lhs = 11:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V5,V3), P_implies-{F}(V6,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V8,V9), P_implies-{F}(V4,V6,V9), P_implies-{F}(V10,V10,V7), P_implies-{F}(V11,V12,V13) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2211: exists( #7, #2205 ), references = 1, size of lhs = 6:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V0,V4) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2212: exists( #7, #2206 ), references = 1, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V7), P_implies-{F}(V9,V0,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2213: exists( #7, #2207 ), references = 1, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V1,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V7), P_implies-{F}(V9,V0,V8) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2224: exists( #7, #1302 ), references = 1, size of lhs = 10:
% 179.04/179.23     is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_a-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V0,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V4), P_implies-{F}(V6,V7,V1), P_implies-{F}(V5,V8,V7) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2227: exists( #7, #2225 ), references = 1, size of lhs = 9:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V3), P_implies-{F}(V4,V7,V6), P_implies-{F}(V8,V5,V6) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2229: exists( #8, #2226 ), references = 1, size of lhs = 7:
% 179.04/179.23     is_a_theorem-{F}(V0), P_a-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V3), P_implies-{F}(V3,V5,V2), P_implies-{F}(V6,V4,V2) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2241: exists( #7, #2239 ), references = 1, size of lhs = 8:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V7,V3), P_implies-{F}(V8,V4,V3) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2244: mergings( V3 == V4; #2242 ), references = 1, size of lhs = 3:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V1,V2) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2246: exists( #8, #2242 ), references = 1, size of lhs = 2:
% 179.04/179.23     P_a-{F}(V0), P_not-{F}(V0,V1) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2248: exists( #8, #2245 ), references = 1, size of lhs = 1:
% 179.04/179.23     P_a-{F}(V0) | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  #2250: exists( #9, #2247 ), references = 1, size of lhs = 0:
% 179.04/179.23     FALSE | FALSE
% 179.04/179.23        (used 0 times, uses = {})
% 179.04/179.23  
% 179.04/179.23  number of learnt formulas = 217
% 179.04/179.23  
% 179.04/179.23  
% 179.04/179.23  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 179.04/179.23  
% 179.04/179.23  randbase = 1
%------------------------------------------------------------------------------