TSTP Solution File: LCL258-3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:09:04 EDT 2022

% Result   : Unsatisfiable 133.50s 133.66s
% Output   : Refutation 133.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 22:18:42 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 133.50/133.66  GeoParameters:
% 133.50/133.66  
% 133.50/133.66  tptp_input =     1
% 133.50/133.66  tptp_output =    0
% 133.50/133.66  nonempty =       1
% 133.50/133.66  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 133.50/133.66  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 133.50/133.66  
% 133.50/133.66  
% 133.50/133.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 133.50/133.66  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 133.50/133.66  
% 133.50/133.66  RuleSystem INPUT:
% 133.50/133.66  
% 133.50/133.66  Initial Rules:
% 133.50/133.66  #0: input, references = 16, size of lhs = 2:
% 133.50/133.66     P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2) | axiom-{T}(V2)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1: input, references = 37, size of lhs = 2:
% 133.50/133.66     P_or-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3) | axiom-{T}(V3)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #2: input, references = 21, size of lhs = 3:
% 133.50/133.66     P_or-{F}(V0,V1,V2), P_or-{F}(V1,V0,V3), P_implies-{F}(V2,V3,V4) | axiom-{T}(V4)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #3: input, references = 21, size of lhs = 5:
% 133.50/133.66     P_or-{F}(V1,V2,V3), P_or-{F}(V0,V3,V4), P_or-{F}(V0,V2,V5), P_or-{F}(V1,V5,V6), P_implies-{F}(V4,V6,V7) | axiom-{T}(V7)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #4: input, references = 20, size of lhs = 5:
% 133.50/133.66     P_implies-{F}(V0,V1,V3), P_or-{F}(V2,V0,V4), P_or-{F}(V2,V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | axiom-{T}(V7)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #5: input, references = 5, size of lhs = 4:
% 133.50/133.66     P_implies-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_or-{F}(V3,V1,V4), V2 == V4 | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #6: input, references = 103, size of lhs = 1:
% 133.50/133.66     axiom-{F}(V0) | theorem-{T}(V0)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #7: input, references = 59, size of lhs = 3:
% 133.50/133.66     theorem-{F}(V0), P_implies-{F}(V0,V1,V2), theorem-{F}(V2) | theorem-{T}(V1)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #8: input, references = 10, size of lhs = 6:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4), theorem-{F}(V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #9: input, references = 95, size of lhs = 2:
% 133.50/133.66     #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #10: input, references = 24, size of lhs = 2:
% 133.50/133.66     #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #11: input, references = 19, size of lhs = 1:
% 133.50/133.66     #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #12: input, references = 4, size of lhs = 0:
% 133.50/133.66     FALSE | EXISTS V0: P_p-{T}(V0)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #13: input, references = 4, size of lhs = 0:
% 133.50/133.66     FALSE | EXISTS V0: P_q-{T}(V0)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  number of initial rules = 14
% 133.50/133.66  
% 133.50/133.66  Simplifiers:
% 133.50/133.66  #14: unsound, references = 3, size of lhs = 3:
% 133.50/133.66     P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #15: unsound, references = 3, size of lhs = 3:
% 133.50/133.66     P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #16: unsound, references = 3, size of lhs = 3:
% 133.50/133.66     P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #17: unsound, references = 3, size of lhs = 3:
% 133.50/133.66     P_p-{F}(V0), P_p-{F}(V1), V0 == V1 | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #18: unsound, references = 3, size of lhs = 3:
% 133.50/133.66     P_q-{F}(V0), P_q-{F}(V1), V0 == V1 | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  number of simplifiers = 5
% 133.50/133.66  
% 133.50/133.66  Learnt:
% 133.50/133.66  #20: exists( #9, #5 ), references = 20, size of lhs = 2:
% 133.50/133.66     P_not-{F}(V0,V1), P_or-{F}(V1,V2,V3) | P_implies-{T}(V0,V2,V3)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #23: exists( #10, #5 ), references = 81, size of lhs = 2:
% 133.50/133.66     P_not-{F}(V0,V1), P_implies-{F}(V0,V2,V3) | P_or-{T}(V1,V2,V3)
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #34: exists( #9, #32 ), references = 1, size of lhs = 10:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V4,V3,V5), P_implies-{F}(V6,V7,V0), P_or-{F}(V8,V6,V9), P_or-{F}(V8,V7,V10), P_implies-{F}(V9,V10,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #36: exists( #9, #33 ), references = 1, size of lhs = 8:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V5,V6,V0), P_or-{F}(V7,V5,V4), P_or-{F}(V7,V6,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #41: mergings( V4 == V5; #39 ), references = 1, size of lhs = 7:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_q-{F}(V4), P_implies-{F}(V4,V5,V0), P_or-{F}(V1,V5,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #49: exists( #9, #47 ), references = 1, size of lhs = 5:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), P_or-{F}(V4,V0,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #52: exists( #9, #50 ), references = 1, size of lhs = 4:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V0), P_implies-{F}(V0,V0,V1), P_not-{F}(V1,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #54: exists( #11, #51 ), references = 1, size of lhs = 3:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V0), P_implies-{F}(V0,V0,V1) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #56: exists( #9, #53 ), references = 1, size of lhs = 2:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V0) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #82: exists( #9, #80 ), references = 1, size of lhs = 10:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V1), P_implies-{F}(V6,V7,V5), P_or-{F}(V8,V6,V9), P_or-{F}(V8,V7,V10), P_implies-{F}(V9,V10,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #84: exists( #9, #81 ), references = 1, size of lhs = 8:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V4), P_or-{F}(V7,V5,V3), P_or-{F}(V7,V6,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #89: mergings( V4 == V5; #87 ), references = 1, size of lhs = 7:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_q-{F}(V3), P_or-{F}(V1,V4,V3), P_implies-{F}(V3,V4,V5), P_not-{F}(V5,V1) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #101: exists( #10, #99 ), references = 1, size of lhs = 9:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V3,V2,V4), P_or-{F}(V5,V6,V0), P_or-{F}(V7,V8,V6), P_or-{F}(V5,V8,V9), P_or-{F}(V7,V9,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #114: exists( #9, #112 ), references = 2, size of lhs = 10:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V1,V4,V5), P_or-{F}(V6,V7,V0), P_or-{F}(V8,V9,V7), P_or-{F}(V6,V9,V10), P_or-{F}(V8,V10,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #117: exists( #10, #115 ), references = 3, size of lhs = 9:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V4,V3,V5), P_or-{F}(V2,V6,V7), P_or-{F}(V8,V7,V0), P_or-{F}(V8,V6,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #120: exists( #9, #118 ), references = 5, size of lhs = 8:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_not-{F}(V4,V5), P_or-{F}(V2,V3,V6), P_or-{F}(V5,V6,V0) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #126: exists( #9, #124 ), references = 1, size of lhs = 9:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_not-{F}(V3,V4), P_or-{F}(V1,V2,V5), P_not-{F}(V6,V4), P_or-{F}(V7,V8,V6), P_or-{F}(V8,V7,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #128: exists( #11, #125 ), references = 1, size of lhs = 7:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_or-{F}(V1,V2,V4), P_or-{F}(V5,V6,V3), P_or-{F}(V6,V5,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #131: exists( #10, #129 ), references = 1, size of lhs = 3:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V1) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #145: exists( #9, #143 ), references = 1, size of lhs = 11:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_not-{F}(V3,V4), P_or-{F}(V1,V2,V5), P_not-{F}(V6,V4), P_or-{F}(V7,V8,V6), P_or-{F}(V9,V10,V8), P_or-{F}(V7,V10,V11), P_or-{F}(V9,V11,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #147: exists( #11, #144 ), references = 1, size of lhs = 9:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_or-{F}(V1,V2,V4), P_or-{F}(V5,V6,V3), P_or-{F}(V7,V8,V6), P_or-{F}(V5,V8,V9), P_or-{F}(V7,V9,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #150: exists( #9, #148 ), references = 1, size of lhs = 4:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_or-{F}(V1,V3,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #167: exists( #9, #165 ), references = 1, size of lhs = 11:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_not-{F}(V3,V4), P_or-{F}(V1,V2,V5), P_not-{F}(V6,V4), P_implies-{F}(V7,V8,V6), P_or-{F}(V9,V7,V10), P_or-{F}(V9,V8,V11), P_implies-{F}(V10,V11,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #169: exists( #11, #166 ), references = 1, size of lhs = 9:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_or-{F}(V1,V2,V4), P_implies-{F}(V5,V6,V3), P_or-{F}(V7,V5,V8), P_or-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #172: exists( #9, #170 ), references = 1, size of lhs = 5:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_or-{F}(V3,V0,V0), P_or-{F}(V3,V2,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #198: exists( #9, #192 ), references = 1, size of lhs = 10:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V6,V7,V0), P_or-{F}(V8,V6,V9), P_or-{F}(V8,V7,V10), P_implies-{F}(V9,V10,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #199: exists( #9, #193 ), references = 2, size of lhs = 12:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_not-{F}(V4,V5), P_or-{F}(V2,V3,V6), P_or-{F}(V5,V6,V7), P_implies-{F}(V8,V9,V0), P_or-{F}(V10,V8,V11), P_or-{F}(V10,V9,V12), P_implies-{F}(V11,V12,V7) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #200: exists( #9, #194 ), references = 1, size of lhs = 13:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V4,V3,V5), P_or-{F}(V2,V6,V7), P_or-{F}(V8,V6,V5), P_or-{F}(V8,V7,V9), P_implies-{F}(V10,V11,V0), P_or-{F}(V12,V10,V13), P_or-{F}(V12,V11,V14), P_implies-{F}(V13,V14,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #210: exists( #9, #204 ), references = 3, size of lhs = 10:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V1,V5), P_not-{F}(V6,V5), P_implies-{F}(V7,V8,V0), P_or-{F}(V9,V7,V6), P_or-{F}(V9,V8,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #211: exists( #9, #205 ), references = 1, size of lhs = 12:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_or-{F}(V2,V3,V7), P_not-{F}(V8,V5), P_implies-{F}(V9,V10,V0), P_or-{F}(V11,V9,V8), P_or-{F}(V11,V10,V7) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #212: exists( #9, #206 ), references = 3, size of lhs = 13:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V7), P_or-{F}(V7,V8,V5), P_or-{F}(V2,V8,V9), P_not-{F}(V10,V7), P_implies-{F}(V11,V12,V0), P_or-{F}(V13,V11,V10), P_or-{F}(V13,V12,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #216: exists( #11, #208 ), references = 3, size of lhs = 9:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_or-{F}(V2,V3,V5), P_implies-{F}(V6,V7,V0), P_or-{F}(V8,V6,V4), P_or-{F}(V8,V7,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #219: exists( #9, #217 ), references = 6, size of lhs = 5:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V0) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #240: exists( #9, #236 ), references = 2, size of lhs = 9:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_implies-{F}(V5,V6,V0), P_or-{F}(V7,V5,V8), P_or-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #242: exists( #9, #238 ), references = 1, size of lhs = 7:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V4,V5,V0), P_or-{F}(V6,V4,V3), P_or-{F}(V6,V5,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #277: exists( #9, #271 ), references = 3, size of lhs = 6:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V0,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #280: exists( #9, #278 ), references = 3, size of lhs = 5:
% 133.50/133.66     theorem-{F}(V0), P_q-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #345: exists( #9, #341 ), references = 5, size of lhs = 7:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V0), P_or-{F}(V6,V5,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #397: exists( #9, #395 ), references = 2, size of lhs = 7:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V6,V5,V3), P_or-{F}(V7,V4,V6) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #439: exists( #9, #431 ), references = 2, size of lhs = 6:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), P_or-{F}(V4,V5,V0), P_or-{F}(V5,V4,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #440: exists( #9, #434 ), references = 1, size of lhs = 10:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V3,V2,V4), P_or-{F}(V1,V5,V6), P_or-{F}(V7,V5,V4), P_not-{F}(V8,V7), P_or-{F}(V9,V10,V8), P_or-{F}(V10,V9,V6) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #459: exists( #9, #457 ), references = 1, size of lhs = 10:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V4), P_or-{F}(V6,V7,V5), P_or-{F}(V6,V8,V3), P_or-{F}(V9,V10,V7), P_or-{F}(V10,V9,V8) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #490: exists( #9, #484 ), references = 3, size of lhs = 8:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V0), P_or-{F}(V6,V5,V7), P_or-{F}(V8,V7,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #491: exists( #9, #485 ), references = 1, size of lhs = 11:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V0), P_or-{F}(V6,V5,V7), P_implies-{F}(V8,V9,V7), P_or-{F}(V10,V8,V11), P_or-{F}(V10,V9,V12), P_implies-{F}(V11,V12,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #511: exists( #9, #509 ), references = 1, size of lhs = 5:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_or-{F}(V1,V3,V0) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #538: exists( #9, #534 ), references = 1, size of lhs = 14:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_not-{F}(V4,V5), P_or-{F}(V2,V3,V6), P_or-{F}(V5,V6,V7), P_or-{F}(V8,V9,V0), P_or-{F}(V9,V8,V10), P_implies-{F}(V11,V12,V10), P_or-{F}(V13,V11,V14), P_or-{F}(V13,V12,V15), P_implies-{F}(V14,V15,V7) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #563: exists( #9, #561 ), references = 1, size of lhs = 12:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_q-{F}(V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V7,V8,V0), P_or-{F}(V2,V7,V9), P_not-{F}(V9,V10), P_or-{F}(V10,V8,V6), P_not-{F}(V11,V10) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #569: exists( #9, #567 ), references = 1, size of lhs = 12:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V1,V5), P_not-{F}(V6,V5), P_or-{F}(V7,V8,V6), P_or-{F}(V7,V9,V4), P_implies-{F}(V8,V9,V10), P_or-{F}(V11,V12,V0), P_or-{F}(V12,V11,V10) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #572: exists( #9, #570 ), references = 2, size of lhs = 11:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_not-{F}(V3,V5), P_not-{F}(V6,V4), P_or-{F}(V5,V7,V6), P_implies-{F}(V7,V2,V8), P_or-{F}(V9,V10,V0), P_or-{F}(V10,V9,V8) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #604: exists( #9, #600 ), references = 7, size of lhs = 9:
% 133.50/133.66     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V7,V8,V0), P_or-{F}(V8,V7,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #628: exists( #9, #626 ), references = 3, size of lhs = 10:
% 133.50/133.66     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V7,V8,V3), P_or-{F}(V8,V7,V9), P_or-{F}(V10,V0,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #631: exists( #9, #629 ), references = 2, size of lhs = 9:
% 133.50/133.66     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V0,V7,V3), P_not-{F}(V8,V7) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #634: exists( #9, #632 ), references = 1, size of lhs = 8:
% 133.50/133.66     theorem-{F}(V0), theorem-{F}(V1), P_not-{F}(V1,V0), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V3,V4), P_not-{F}(V2,V5), P_not-{F}(V6,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #637: exists( #10, #628 ), references = 3, size of lhs = 8:
% 133.50/133.66     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V0,V7,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #640: exists( #9, #638 ), references = 2, size of lhs = 7:
% 133.50/133.66     theorem-{F}(V0), theorem-{F}(V1), P_not-{F}(V1,V0), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V3,V4), P_not-{F}(V2,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #642: exists( #11, #639 ), references = 2, size of lhs = 6:
% 133.50/133.66     theorem-{F}(V0), theorem-{F}(V1), P_not-{F}(V1,V0), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V3,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #644: exists( #11, #641 ), references = 4, size of lhs = 5:
% 133.50/133.66     theorem-{F}(V0), theorem-{F}(V1), P_not-{F}(V1,V0), P_q-{F}(V2), P_p-{F}(V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #688: exists( #9, #685 ), references = 1, size of lhs = 5:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_or-{F}(V3,V4,V2), P_or-{F}(V4,V3,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #690: exists( #11, #687 ), references = 1, size of lhs = 4:
% 133.50/133.66     P_p-{F}(V0), P_q-{F}(V1), P_or-{F}(V2,V3,V1), P_or-{F}(V3,V2,V1) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #762: exists( #9, #756 ), references = 6, size of lhs = 5:
% 133.50/133.66     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V0), P_q-{F}(V2), P_p-{F}(V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #776: exists( #9, #774 ), references = 1, size of lhs = 5:
% 133.50/133.66     P_q-{F}(V0), P_p-{F}(V1), P_not-{F}(V2,V2), P_not-{F}(V3,V2), P_or-{F}(V4,V3,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #923: exists( #9, #917 ), references = 2, size of lhs = 6:
% 133.50/133.66     theorem-{F}(V0), P_q-{F}(V1), P_p-{F}(V2), P_not-{F}(V3,V3), P_or-{F}(V4,V5,V0), P_or-{F}(V5,V4,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #932: exists( #9, #928 ), references = 1, size of lhs = 6:
% 133.50/133.66     P_q-{F}(V0), P_p-{F}(V1), P_not-{F}(V2,V2), P_not-{F}(V3,V4), P_or-{F}(V5,V4,V2), P_or-{F}(V6,V3,V5) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1033: exists( #10, #1029 ), references = 1, size of lhs = 6:
% 133.50/133.66     P_q-{F}(V0), P_p-{F}(V1), P_not-{F}(V2,V2), P_or-{F}(V3,V3,V4), P_not-{F}(V4,V5), P_or-{F}(V3,V5,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1034: exists( #10, #1030 ), references = 1, size of lhs = 8:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_or-{F}(V4,V4,V5), P_not-{F}(V5,V6), P_or-{F}(V4,V6,V7), P_or-{F}(V8,V7,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1348: exists( #9, #1342 ), references = 4, size of lhs = 6:
% 133.50/133.66     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V0), P_q-{F}(V3), P_p-{F}(V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1471: exists( #9, #1469 ), references = 1, size of lhs = 8:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V6,V4,V7), P_or-{F}(V7,V5,V8), P_or-{F}(V9,V8,V3) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1559: exists( #9, #1553 ), references = 2, size of lhs = 9:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V0), P_or-{F}(V7,V8,V6), P_or-{F}(V5,V8,V9), P_or-{F}(V7,V9,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1560: exists( #9, #1554 ), references = 2, size of lhs = 11:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V4), P_or-{F}(V6,V5,V7), P_or-{F}(V8,V9,V0), P_or-{F}(V10,V11,V9), P_or-{F}(V8,V11,V12), P_or-{F}(V10,V12,V7) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1561: exists( #9, #1555 ), references = 2, size of lhs = 13:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_or-{F}(V2,V3,V5), P_or-{F}(V6,V7,V4), P_or-{F}(V6,V8,V5), P_implies-{F}(V7,V8,V9), P_or-{F}(V10,V11,V0), P_or-{F}(V12,V13,V11), P_or-{F}(V10,V13,V14), P_or-{F}(V12,V14,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1565: exists( #10, #1556 ), references = 2, size of lhs = 9:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V0), P_or-{F}(V7,V8,V6), P_or-{F}(V5,V8,V9), P_or-{F}(V7,V9,V4) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1566: exists( #10, #1557 ), references = 1, size of lhs = 11:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V4), P_or-{F}(V6,V5,V7), P_or-{F}(V8,V9,V0), P_or-{F}(V10,V11,V9), P_or-{F}(V8,V11,V12), P_or-{F}(V10,V12,V7) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1567: exists( #10, #1558 ), references = 2, size of lhs = 13:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_or-{F}(V2,V3,V5), P_or-{F}(V6,V7,V4), P_or-{F}(V6,V8,V5), P_implies-{F}(V7,V8,V9), P_or-{F}(V10,V11,V0), P_or-{F}(V12,V13,V11), P_or-{F}(V10,V13,V14), P_or-{F}(V12,V14,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1679: exists( #9, #1673 ), references = 2, size of lhs = 9:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V8,V7,V3), P_or-{F}(V8,V6,V9), P_or-{F}(V10,V4,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1680: exists( #9, #1674 ), references = 2, size of lhs = 9:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V8,V7,V3), P_or-{F}(V8,V6,V9), P_or-{F}(V10,V4,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1681: exists( #9, #1675 ), references = 2, size of lhs = 11:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V6,V7,V3), P_or-{F}(V7,V6,V8), P_or-{F}(V5,V9,V10), P_or-{F}(V11,V10,V8), P_or-{F}(V11,V9,V12), P_or-{F}(V13,V4,V12) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1708: exists( #9, #1704 ), references = 1, size of lhs = 13:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_or-{F}(V1,V2,V4), P_not-{F}(V5,V6), P_or-{F}(V7,V8,V3), P_or-{F}(V7,V9,V4), P_implies-{F}(V8,V9,V10), P_or-{F}(V6,V11,V12), P_or-{F}(V13,V12,V10), P_or-{F}(V13,V11,V14), P_or-{F}(V15,V5,V14) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1709: exists( #9, #1705 ), references = 1, size of lhs = 13:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_or-{F}(V1,V2,V4), P_not-{F}(V5,V6), P_or-{F}(V7,V8,V3), P_or-{F}(V7,V9,V4), P_implies-{F}(V8,V9,V10), P_or-{F}(V6,V11,V12), P_or-{F}(V13,V12,V10), P_or-{F}(V13,V11,V14), P_or-{F}(V15,V5,V14) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #1725: exists( #10, #1681 ), references = 3, size of lhs = 9:
% 133.50/133.66     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V7,V8,V3), P_or-{F}(V8,V6,V9), P_or-{F}(V10,V4,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #2024: exists( #9, #2018 ), references = 1, size of lhs = 9:
% 133.50/133.66     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_implies-{F}(V5,V6,V0), P_or-{F}(V7,V5,V8), P_or-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V2) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #2025: exists( #9, #2019 ), references = 1, size of lhs = 13:
% 133.50/133.66     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V1,V3,V4), P_or-{F}(V2,V3,V5), P_or-{F}(V6,V7,V4), P_or-{F}(V6,V8,V5), P_implies-{F}(V7,V8,V9), P_implies-{F}(V10,V11,V0), P_or-{F}(V12,V10,V13), P_or-{F}(V12,V11,V14), P_implies-{F}(V13,V14,V9) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.66  
% 133.50/133.66  #2026: exists( #9, #2020 ), references = 1, size of lhs = 12:
% 133.50/133.66     theorem-{F}(V0), P_q-{F}(V1), P_p-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V5,V6,V0), P_or-{F}(V7,V5,V8), P_or-{F}(V7,V6,V9), P_implies-{F}(V8,V9,V10), P_implies-{F}(V10,V1,V11), P_or-{F}(V12,V13,V10), P_or-{F}(V13,V12,V11) | FALSE
% 133.50/133.66        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #2299: exists( #9, #2297 ), references = 1, size of lhs = 15:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V4), P_or-{F}(V1,V7,V8), P_not-{F}(V9,V6), P_or-{F}(V10,V11,V9), P_or-{F}(V10,V12,V8), P_implies-{F}(V13,V14,V11), P_or-{F}(V15,V13,V16), P_or-{F}(V15,V14,V17), P_implies-{F}(V16,V17,V12) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #2381: exists( #9, #2375 ), references = 2, size of lhs = 9:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_p-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V1,V4), P_or-{F}(V5,V6,V0), P_or-{F}(V7,V8,V6), P_or-{F}(V5,V8,V9), P_or-{F}(V7,V9,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #2382: exists( #9, #2376 ), references = 1, size of lhs = 10:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V4), P_or-{F}(V7,V8,V0), P_or-{F}(V9,V10,V8), P_or-{F}(V7,V10,V11), P_or-{F}(V9,V11,V6) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #2383: exists( #9, #2377 ), references = 2, size of lhs = 11:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_p-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V1,V4), P_implies-{F}(V5,V1,V6), P_or-{F}(V5,V7,V6), P_or-{F}(V8,V9,V0), P_or-{F}(V10,V11,V9), P_or-{F}(V8,V11,V12), P_or-{F}(V10,V12,V5) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #2501: exists( #9, #2495 ), references = 2, size of lhs = 9:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V4), P_or-{F}(V6,V5,V7), P_or-{F}(V8,V9,V0), P_or-{F}(V9,V8,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #2602: exists( #10, #1725 ), references = 2, size of lhs = 7:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V4,V6), P_or-{F}(V6,V7,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #2770: exists( #9, #2764 ), references = 3, size of lhs = 7:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_or-{F}(V5,V6,V0), P_or-{F}(V6,V5,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #2780: exists( #10, #2778 ), references = 1, size of lhs = 7:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_q-{F}(V2), P_p-{F}(V3), P_or-{F}(V4,V4,V5), P_not-{F}(V5,V6), P_or-{F}(V4,V6,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3036: exists( #9, #3030 ), references = 2, size of lhs = 9:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_or-{F}(V5,V6,V0), P_or-{F}(V7,V8,V6), P_or-{F}(V5,V8,V9), P_or-{F}(V7,V9,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3037: exists( #9, #3031 ), references = 2, size of lhs = 11:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_or-{F}(V5,V6,V2), P_or-{F}(V6,V5,V7), P_or-{F}(V8,V9,V0), P_or-{F}(V10,V11,V9), P_or-{F}(V8,V11,V12), P_or-{F}(V10,V12,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3038: exists( #9, #3032 ), references = 2, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_p-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V1,V4), P_or-{F}(V5,V6,V0), P_or-{F}(V7,V8,V6), P_or-{F}(V5,V8,V9), P_or-{F}(V7,V9,V10), P_implies-{F}(V10,V1,V11), P_or-{F}(V12,V13,V10), P_or-{F}(V13,V12,V11) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3057: exists( #9, #3051 ), references = 1, size of lhs = 9:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V8,V7,V1), P_or-{F}(V8,V6,V9), P_or-{F}(V10,V4,V9) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3058: exists( #9, #3052 ), references = 2, size of lhs = 11:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V4,V5), P_or-{F}(V6,V7,V1), P_or-{F}(V7,V6,V8), P_or-{F}(V5,V9,V10), P_or-{F}(V11,V10,V8), P_or-{F}(V11,V9,V12), P_or-{F}(V13,V4,V12) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3059: exists( #9, #3053 ), references = 1, size of lhs = 12:
% 133.50/133.67     P_q-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V8,V7,V9), P_implies-{F}(V9,V0,V10), P_or-{F}(V8,V6,V11), P_or-{F}(V12,V4,V11), P_or-{F}(V13,V14,V9), P_or-{F}(V14,V13,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3083: exists( #10, #3058 ), references = 1, size of lhs = 9:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V7,V8,V1), P_or-{F}(V8,V6,V9), P_or-{F}(V10,V4,V9) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3305: exists( #9, #3303 ), references = 3, size of lhs = 8:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_or-{F}(V6,V7,V0), P_or-{F}(V7,V6,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3307: exists( #10, #3304 ), references = 3, size of lhs = 8:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_or-{F}(V6,V7,V0), P_or-{F}(V7,V6,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3531: exists( #9, #3525 ), references = 4, size of lhs = 8:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V5,V0), P_or-{F}(V6,V7,V5), P_or-{F}(V7,V6,V4) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3532: exists( #9, #3526 ), references = 3, size of lhs = 10:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V5,V0), P_or-{F}(V6,V7,V4), P_or-{F}(V7,V6,V8), P_or-{F}(V9,V10,V5), P_or-{F}(V10,V9,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3533: exists( #9, #3527 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_not-{F}(V3,V5), P_not-{F}(V6,V4), P_or-{F}(V5,V7,V6), P_implies-{F}(V7,V2,V8), P_or-{F}(V9,V9,V0), P_or-{F}(V10,V11,V9), P_or-{F}(V11,V10,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3764: exists( #9, #3758 ), references = 1, size of lhs = 10:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_implies-{F}(V6,V7,V0), P_or-{F}(V8,V6,V9), P_or-{F}(V8,V7,V10), P_implies-{F}(V9,V10,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3765: exists( #9, #3759 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_or-{F}(V6,V7,V3), P_or-{F}(V7,V6,V8), P_implies-{F}(V9,V10,V0), P_or-{F}(V11,V9,V12), P_or-{F}(V11,V10,V13), P_implies-{F}(V12,V13,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3766: exists( #9, #3760 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_or-{F}(V6,V7,V3), P_or-{F}(V7,V6,V8), P_implies-{F}(V9,V10,V0), P_or-{F}(V11,V9,V12), P_or-{F}(V11,V10,V13), P_implies-{F}(V12,V13,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3950: exists( #9, #3948 ), references = 2, size of lhs = 10:
% 133.50/133.67     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V8), P_or-{F}(V9,V8,V4), P_or-{F}(V9,V7,V10), P_or-{F}(V11,V5,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #3952: exists( #10, #3949 ), references = 2, size of lhs = 10:
% 133.50/133.67     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V8), P_or-{F}(V9,V8,V4), P_or-{F}(V9,V7,V10), P_or-{F}(V11,V5,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4168: exists( #9, #4162 ), references = 2, size of lhs = 10:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_or-{F}(V6,V7,V0), P_or-{F}(V8,V9,V7), P_or-{F}(V6,V9,V10), P_or-{F}(V8,V10,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4169: exists( #9, #4163 ), references = 2, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_or-{F}(V6,V7,V3), P_or-{F}(V7,V6,V8), P_or-{F}(V9,V10,V0), P_or-{F}(V11,V12,V10), P_or-{F}(V9,V12,V13), P_or-{F}(V11,V13,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4170: exists( #9, #4164 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_or-{F}(V6,V7,V3), P_or-{F}(V7,V6,V8), P_or-{F}(V9,V10,V0), P_or-{F}(V11,V12,V10), P_or-{F}(V9,V12,V13), P_or-{F}(V11,V13,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4177: exists( #9, #4171 ), references = 2, size of lhs = 11:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_or-{F}(V9,V10,V8), P_or-{F}(V7,V10,V11), P_or-{F}(V9,V11,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4178: exists( #9, #4172 ), references = 1, size of lhs = 13:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_or-{F}(V9,V10,V3), P_or-{F}(V10,V9,V11), P_or-{F}(V12,V13,V8), P_or-{F}(V7,V13,V14), P_or-{F}(V12,V14,V11) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4179: exists( #9, #4173 ), references = 1, size of lhs = 13:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V1,V1), P_or-{F}(V1,V1,V2), P_or-{F}(V2,V2,V3), P_q-{F}(V4), P_p-{F}(V5), P_not-{F}(V6,V7), P_implies-{F}(V6,V8,V0), P_or-{F}(V9,V10,V3), P_or-{F}(V10,V9,V11), P_or-{F}(V12,V13,V8), P_or-{F}(V7,V13,V14), P_or-{F}(V12,V14,V11) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4191: exists( #9, #4186 ), references = 1, size of lhs = 10:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V8), P_or-{F}(V9,V8,V2), P_or-{F}(V9,V7,V10), P_or-{F}(V11,V5,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4192: exists( #9, #4184 ), references = 1, size of lhs = 10:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V8), P_or-{F}(V9,V8,V2), P_or-{F}(V9,V7,V10), P_or-{F}(V11,V5,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4193: exists( #9, #4187 ), references = 1, size of lhs = 12:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V5,V6), P_or-{F}(V7,V8,V2), P_or-{F}(V8,V7,V9), P_or-{F}(V6,V10,V11), P_or-{F}(V12,V11,V9), P_or-{F}(V12,V10,V13), P_or-{F}(V14,V5,V13) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4197: exists( #10, #4188 ), references = 1, size of lhs = 10:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V8), P_or-{F}(V9,V8,V2), P_or-{F}(V9,V7,V10), P_or-{F}(V11,V5,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4198: exists( #10, #4189 ), references = 1, size of lhs = 10:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V8), P_or-{F}(V9,V8,V2), P_or-{F}(V9,V7,V10), P_or-{F}(V11,V5,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4199: exists( #10, #4190 ), references = 1, size of lhs = 12:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_or-{F}(V1,V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V5,V6), P_or-{F}(V7,V8,V2), P_or-{F}(V8,V7,V9), P_or-{F}(V6,V10,V11), P_or-{F}(V12,V11,V9), P_or-{F}(V12,V10,V13), P_or-{F}(V14,V5,V13) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4203: exists( #10, #4194 ), references = 1, size of lhs = 8:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V1), P_or-{F}(V1,V6,V7), P_or-{F}(V8,V4,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4204: exists( #10, #4195 ), references = 1, size of lhs = 8:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V1), P_or-{F}(V1,V6,V7), P_or-{F}(V8,V4,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4205: exists( #10, #4196 ), references = 1, size of lhs = 8:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V1), P_or-{F}(V1,V6,V7), P_or-{F}(V8,V4,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4209: exists( #10, #4200 ), references = 1, size of lhs = 6:
% 133.50/133.67     P_not-{F}(V0,V0), P_or-{F}(V0,V0,V1), P_q-{F}(V2), P_p-{F}(V3), P_not-{F}(V4,V5), P_or-{F}(V5,V4,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4216: exists( #9, #4210 ), references = 1, size of lhs = 4:
% 133.50/133.67     P_q-{F}(V0), P_p-{F}(V1), P_not-{F}(V2,V2), P_not-{F}(V3,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4236: exists( #9, #4234 ), references = 1, size of lhs = 7:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_not-{F}(V0,V1), P_p-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V1,V4), P_or-{F}(V5,V0,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4238: exists( #11, #4235 ), references = 2, size of lhs = 6:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_not-{F}(V0,V1), P_p-{F}(V2), P_not-{F}(V2,V3), P_or-{F}(V4,V0,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4246: exists( #9, #4244 ), references = 1, size of lhs = 7:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_not-{F}(V2,V1), P_or-{F}(V2,V2,V0), P_p-{F}(V3), P_not-{F}(V3,V4), P_or-{F}(V5,V2,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4275: exists( #9, #4269 ), references = 1, size of lhs = 6:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V4,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4276: exists( #9, #4270 ), references = 1, size of lhs = 8:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V3), P_or-{F}(V2,V6,V7), P_or-{F}(V8,V4,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4277: exists( #9, #4271 ), references = 1, size of lhs = 6:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V2), P_or-{F}(V5,V4,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4284: exists( #9, #4280 ), references = 2, size of lhs = 8:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V2), P_or-{F}(V3,V6,V7), P_or-{F}(V8,V4,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4285: exists( #9, #4281 ), references = 1, size of lhs = 8:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V2), P_or-{F}(V3,V6,V7), P_or-{F}(V8,V4,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4290: exists( #9, #4286 ), references = 1, size of lhs = 7:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_or-{F}(V6,V5,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4293: exists( #11, #4288 ), references = 1, size of lhs = 5:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V3,V4), P_or-{F}(V4,V3,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4296: exists( #11, #4291 ), references = 1, size of lhs = 4:
% 133.50/133.67     P_p-{F}(V0), P_q-{F}(V1), P_not-{F}(V2,V3), P_or-{F}(V3,V2,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4308: exists( #11, #2381 ), references = 1, size of lhs = 8:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_p-{F}(V2), P_not-{F}(V2,V3), P_or-{F}(V4,V5,V0), P_or-{F}(V6,V7,V5), P_or-{F}(V4,V7,V8), P_or-{F}(V6,V8,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4344: exists( #9, #4340 ), references = 1, size of lhs = 9:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_or-{F}(V7,V6,V5), P_or-{F}(V8,V9,V3), P_or-{F}(V9,V8,V5) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4345: exists( #9, #4341 ), references = 1, size of lhs = 11:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_or-{F}(V7,V6,V5), P_or-{F}(V8,V9,V3), P_or-{F}(V9,V8,V10), P_or-{F}(V11,V12,V10), P_or-{F}(V12,V11,V5) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4408: exists( #9, #4402 ), references = 2, size of lhs = 8:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V0,V5), P_not-{F}(V6,V5), P_or-{F}(V7,V6,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4409: exists( #9, #4403 ), references = 1, size of lhs = 9:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V0,V6), P_not-{F}(V7,V6), P_or-{F}(V8,V7,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4410: exists( #9, #4404 ), references = 1, size of lhs = 10:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V3,V6), P_not-{F}(V0,V7), P_not-{F}(V8,V7), P_or-{F}(V9,V8,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4443: exists( #9, #4441 ), references = 1, size of lhs = 11:
% 133.50/133.67     P_q-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V8,V6,V9), P_or-{F}(V8,V7,V10), P_implies-{F}(V10,V0,V11), P_or-{F}(V10,V12,V11), P_or-{F}(V13,V4,V9) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4494: exists( #9, #4488 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), theorem-{F}(V3), P_q-{F}(V4), P_implies-{F}(V3,V4,V5), P_p-{F}(V6), P_not-{F}(V6,V7), P_not-{F}(V4,V8), P_or-{F}(V9,V10,V5), P_or-{F}(V10,V9,V11), P_or-{F}(V12,V2,V11) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4498: mergings( V4 == V7; #4496 ), references = 1, size of lhs = 8:
% 133.50/133.67     theorem-{F}(V0), P_not-{F}(V0,V1), theorem-{F}(V2), P_q-{F}(V3), P_not-{F}(V2,V3), P_not-{F}(V3,V1), P_p-{F}(V4), P_not-{F}(V4,V5) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4579: exists( #9, #4573 ), references = 3, size of lhs = 9:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V7,V7,V0), P_or-{F}(V7,V8,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4580: exists( #9, #4574 ), references = 3, size of lhs = 10:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V7,V7,V0), P_or-{F}(V7,V8,V3), P_not-{F}(V9,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4581: exists( #9, #4575 ), references = 1, size of lhs = 11:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V7,V7,V0), P_or-{F}(V8,V9,V3), P_or-{F}(V9,V8,V10), P_or-{F}(V11,V7,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4597: exists( #9, #4591 ), references = 1, size of lhs = 9:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_p-{F}(V3), P_not-{F}(V3,V4), P_not-{F}(V1,V5), P_not-{F}(V6,V7), P_or-{F}(V7,V8,V2), P_or-{F}(V9,V6,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4598: exists( #9, #4592 ), references = 1, size of lhs = 10:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_p-{F}(V3), P_not-{F}(V3,V4), P_not-{F}(V1,V5), P_not-{F}(V6,V7), P_or-{F}(V8,V6,V7), P_or-{F}(V7,V9,V2), P_not-{F}(V10,V9) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4738: exists( #9, #4732 ), references = 2, size of lhs = 13:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V7,V8,V3), P_or-{F}(V8,V7,V9), P_or-{F}(V10,V11,V0), P_or-{F}(V12,V13,V11), P_or-{F}(V10,V13,V14), P_or-{F}(V12,V14,V9) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4739: exists( #9, #4733 ), references = 4, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V4), P_or-{F}(V6,V5,V7), P_or-{F}(V7,V7,V8), P_or-{F}(V9,V10,V0), P_or-{F}(V11,V12,V10), P_or-{F}(V9,V12,V13), P_or-{F}(V11,V13,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4740: exists( #9, #4734 ), references = 4, size of lhs = 14:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V4), P_or-{F}(V6,V5,V7), P_or-{F}(V8,V9,V7), P_or-{F}(V9,V8,V10), P_or-{F}(V10,V10,V11), P_or-{F}(V12,V13,V0), P_or-{F}(V14,V15,V13), P_or-{F}(V12,V15,V16), P_or-{F}(V14,V16,V11) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4752: exists( #9, #4750 ), references = 1, size of lhs = 13:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_p-{F}(V3), P_not-{F}(V3,V4), P_not-{F}(V1,V5), P_not-{F}(V6,V7), P_or-{F}(V8,V9,V2), P_or-{F}(V9,V8,V10), P_or-{F}(V7,V11,V12), P_or-{F}(V13,V12,V10), P_or-{F}(V13,V11,V14), P_or-{F}(V15,V6,V14) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4755: exists( #9, #4753 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_p-{F}(V3), P_not-{F}(V3,V4), P_not-{F}(V1,V5), P_not-{F}(V6,V7), P_or-{F}(V8,V7,V2), P_not-{F}(V9,V10), P_or-{F}(V10,V11,V8), P_or-{F}(V7,V11,V12), P_or-{F}(V13,V9,V12) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4758: exists( #9, #4756 ), references = 1, size of lhs = 11:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_p-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V1,V4), P_not-{F}(V0,V5), P_not-{F}(V6,V1), P_not-{F}(V7,V8), P_or-{F}(V8,V9,V5), P_or-{F}(V1,V9,V10), P_or-{F}(V11,V7,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4794: exists( #9, #4790 ), references = 3, size of lhs = 11:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_not-{F}(V5,V6), P_or-{F}(V7,V8,V4), P_or-{F}(V8,V7,V6), P_or-{F}(V6,V9,V10), P_or-{F}(V11,V10,V0), P_or-{F}(V11,V9,V6) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4795: exists( #9, #4791 ), references = 3, size of lhs = 13:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_not-{F}(V5,V6), P_or-{F}(V7,V8,V4), P_or-{F}(V8,V7,V9), P_or-{F}(V10,V11,V9), P_or-{F}(V11,V10,V6), P_or-{F}(V6,V12,V13), P_or-{F}(V14,V13,V0), P_or-{F}(V14,V12,V6) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4916: exists( #9, #4910 ), references = 1, size of lhs = 11:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_not-{F}(V6,V7), P_or-{F}(V5,V8,V7), P_or-{F}(V7,V8,V9), P_or-{F}(V10,V4,V9), P_or-{F}(V11,V12,V3), P_or-{F}(V12,V11,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4917: exists( #9, #4911 ), references = 1, size of lhs = 13:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_not-{F}(V6,V7), P_or-{F}(V5,V8,V7), P_or-{F}(V7,V8,V9), P_or-{F}(V10,V4,V9), P_or-{F}(V11,V12,V3), P_or-{F}(V12,V11,V13), P_or-{F}(V14,V15,V13), P_or-{F}(V15,V14,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #4918: exists( #9, #4912 ), references = 2, size of lhs = 12:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V6,V7,V3), P_or-{F}(V7,V6,V8), P_or-{F}(V8,V8,V9), P_or-{F}(V5,V10,V11), P_or-{F}(V12,V11,V9), P_or-{F}(V12,V10,V13), P_or-{F}(V14,V4,V13) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5052: exists( #9, #5046 ), references = 1, size of lhs = 14:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V8,V6,V5), P_not-{F}(V9,V8), P_or-{F}(V10,V11,V3), P_or-{F}(V11,V10,V5), P_implies-{F}(V12,V13,V9), P_or-{F}(V14,V12,V15), P_or-{F}(V14,V13,V16), P_implies-{F}(V15,V16,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5053: exists( #9, #5047 ), references = 1, size of lhs = 16:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V6,V7), P_or-{F}(V8,V6,V5), P_not-{F}(V9,V8), P_or-{F}(V10,V11,V3), P_or-{F}(V11,V10,V12), P_or-{F}(V13,V14,V12), P_or-{F}(V14,V13,V5), P_implies-{F}(V15,V16,V9), P_or-{F}(V17,V15,V18), P_or-{F}(V17,V16,V19), P_implies-{F}(V18,V19,V7) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5054: exists( #9, #5048 ), references = 1, size of lhs = 15:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_or-{F}(V4,V5,V3), P_or-{F}(V5,V4,V6), P_or-{F}(V6,V6,V7), P_not-{F}(V8,V9), P_or-{F}(V9,V10,V11), P_or-{F}(V12,V11,V7), P_or-{F}(V12,V10,V13), P_implies-{F}(V14,V15,V8), P_or-{F}(V16,V14,V17), P_or-{F}(V16,V15,V18), P_implies-{F}(V17,V18,V13) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5089: exists( #10, #4740 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V4), P_or-{F}(V6,V5,V7), P_or-{F}(V8,V9,V7), P_or-{F}(V9,V8,V10), P_or-{F}(V10,V11,V12), P_or-{F}(V13,V12,V0), P_or-{F}(V13,V11,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5149: exists( #9, #5145 ), references = 1, size of lhs = 9:
% 133.50/133.67     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V3), P_or-{F}(V4,V7,V8), P_or-{F}(V9,V5,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5150: exists( #9, #5146 ), references = 1, size of lhs = 9:
% 133.50/133.67     P_p-{F}(V0), P_q-{F}(V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), P_not-{F}(V0,V4), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V3), P_or-{F}(V4,V7,V8), P_or-{F}(V9,V5,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5331: exists( #9, #5325 ), references = 1, size of lhs = 11:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V7,V7,V8), P_or-{F}(V7,V9,V3), P_or-{F}(V10,V11,V0), P_or-{F}(V11,V10,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5332: exists( #9, #5326 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_or-{F}(V7,V7,V8), P_or-{F}(V7,V9,V3), P_not-{F}(V10,V9), P_or-{F}(V11,V12,V0), P_or-{F}(V12,V11,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5333: exists( #9, #5327 ), references = 1, size of lhs = 10:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_or-{F}(V5,V6,V4), P_or-{F}(V6,V5,V7), P_or-{F}(V7,V7,V8), P_or-{F}(V9,V10,V0), P_or-{F}(V10,V9,V8) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5340: exists( #9, #5334 ), references = 1, size of lhs = 12:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_not-{F}(V7,V8), P_or-{F}(V9,V8,V0), P_implies-{F}(V7,V9,V10), P_or-{F}(V11,V11,V10), P_or-{F}(V11,V12,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5341: exists( #9, #5335 ), references = 1, size of lhs = 13:
% 133.50/133.67     theorem-{F}(V0), theorem-{F}(V1), P_q-{F}(V2), P_implies-{F}(V1,V2,V3), P_p-{F}(V4), P_not-{F}(V4,V5), P_not-{F}(V2,V6), P_not-{F}(V7,V8), P_or-{F}(V9,V8,V0), P_implies-{F}(V7,V9,V10), P_or-{F}(V11,V11,V10), P_or-{F}(V11,V12,V3), P_not-{F}(V13,V12) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5342: exists( #9, #5336 ), references = 1, size of lhs = 11:
% 133.50/133.67     theorem-{F}(V0), P_p-{F}(V1), P_not-{F}(V1,V2), P_q-{F}(V3), P_implies-{F}(V3,V3,V4), P_not-{F}(V5,V6), P_or-{F}(V7,V6,V0), P_implies-{F}(V5,V7,V8), P_or-{F}(V9,V9,V8), P_or-{F}(V10,V11,V4), P_or-{F}(V11,V10,V9) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5385: exists( #10, #4918 ), references = 1, size of lhs = 10:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V4,V6), P_or-{F}(V7,V8,V3), P_or-{F}(V8,V7,V9), P_or-{F}(V9,V9,V10), P_or-{F}(V11,V6,V10) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5450: exists( #9, #5448 ), references = 2, size of lhs = 14:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V6,V7,V3), P_or-{F}(V7,V6,V8), P_or-{F}(V9,V10,V8), P_or-{F}(V10,V9,V11), P_or-{F}(V11,V11,V12), P_or-{F}(V5,V13,V14), P_or-{F}(V15,V14,V12), P_or-{F}(V15,V13,V16), P_or-{F}(V17,V4,V16) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5452: exists( #10, #5450 ), references = 1, size of lhs = 12:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V4,V6), P_or-{F}(V7,V8,V3), P_or-{F}(V8,V7,V9), P_or-{F}(V10,V11,V9), P_or-{F}(V11,V10,V12), P_or-{F}(V12,V12,V13), P_or-{F}(V14,V6,V13) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5454: exists( #10, #5451 ), references = 2, size of lhs = 10:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V4,V6), P_or-{F}(V7,V8,V3), P_or-{F}(V8,V7,V9), P_or-{F}(V10,V11,V9), P_or-{F}(V11,V10,V6) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5458: mergings( V6 == V8; #5456 ), references = 1, size of lhs = 8:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V6,V5,V3), P_not-{F}(V7,V8), P_or-{F}(V8,V7,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5461: exists( #9, #5459 ), references = 1, size of lhs = 9:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V4,V6,V3), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_or-{F}(V9,V8,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5465: mergings( V4 == V5; #5463 ), references = 1, size of lhs = 5:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V4,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5467: exists( #11, #5463 ), references = 1, size of lhs = 4:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V3,V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5469: exists( #11, #5466 ), references = 1, size of lhs = 3:
% 133.50/133.67     P_p-{F}(V0), P_q-{F}(V1), P_not-{F}(V2,V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5504: mergings( V5 == V6; #5501 ), references = 1, size of lhs = 7:
% 133.50/133.67     theorem-{F}(V0), P_q-{F}(V1), P_p-{F}(V2), P_or-{F}(V3,V3,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_or-{F}(V6,V5,V4) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5529: mergings( V6 == V9; #5527 ), references = 1, size of lhs = 7:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_implies-{F}(V2,V2,V3), P_not-{F}(V4,V5), P_or-{F}(V5,V4,V3), P_or-{F}(V6,V7,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5532: exists( #9, #5530 ), references = 1, size of lhs = 4:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2), P_not-{F}(V2,V3) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5534: exists( #11, #5531 ), references = 1, size of lhs = 3:
% 133.50/133.67     P_p-{F}(V0), P_not-{F}(V0,V1), P_q-{F}(V2) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5536: exists( #11, #5533 ), references = 1, size of lhs = 2:
% 133.50/133.67     P_p-{F}(V0), P_q-{F}(V1) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5538: exists( #13, #5535 ), references = 1, size of lhs = 1:
% 133.50/133.67     P_p-{F}(V0) | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  #5540: exists( #12, #5537 ), references = 1, size of lhs = 0:
% 133.50/133.67     FALSE | FALSE
% 133.50/133.67        (used 0 times, uses = {})
% 133.50/133.67  
% 133.50/133.67  number of learnt formulas = 188
% 133.50/133.67  
% 133.50/133.67  
% 133.50/133.67  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 133.50/133.67  
% 133.50/133.67  randbase = 1
%------------------------------------------------------------------------------