TSTP Solution File: SYN625-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN625-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n029.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 06:25:06 EDT 2022

% Result   : Unsatisfiable 1.92s 2.10s
% Output   : Refutation 1.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN625-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n029.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 : Sat Jul 23 03:47:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.92/2.10  GeoParameters:
% 1.92/2.10  
% 1.92/2.10  tptp_input =     1
% 1.92/2.10  tptp_output =    0
% 1.92/2.10  nonempty =       1
% 1.92/2.10  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.92/2.10  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.92/2.10  
% 1.92/2.10  
% 1.92/2.10  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.92/2.10  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.92/2.10  
% 1.92/2.10  RuleSystem INPUT:
% 1.92/2.10  
% 1.92/2.10  Initial Rules:
% 1.92/2.10  #0: input, references = 4, size of lhs = 1:
% 1.92/2.10     P_c21-{F}(V0) | p15-{T}(V0)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #1: input, references = 3, size of lhs = 2:
% 1.92/2.10     P_c21-{F}(V0), #-{F} V1 | p10-{T}(V1,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #2: input, references = 3, size of lhs = 2:
% 1.92/2.10     P_c21-{F}(V0), #-{F} V1 | p8-{T}(V1,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #3: input, references = 3, size of lhs = 2:
% 1.92/2.10     P_c21-{F}(V0), #-{F} V1 | p6-{T}(V1,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #4: input, references = 3, size of lhs = 2:
% 1.92/2.10     P_c21-{F}(V0), #-{F} V1 | p5-{T}(V1,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #5: input, references = 3, size of lhs = 2:
% 1.92/2.10     P_c21-{F}(V0), #-{F} V1 | p3-{T}(V1,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #6: input, references = 3, size of lhs = 2:
% 1.92/2.10     P_c21-{F}(V0), #-{F} V1 | p2-{T}(V1,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #7: input, references = 5, size of lhs = 6:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), p15-{F}(V4) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #8: input, references = 3, size of lhs = 7:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), p5-{F}(V5,V6), #-{F} V7 | p16-{T}(V7,V5,V6)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #9: input, references = 9, size of lhs = 8:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f9-{F}(V5,V6), p15-{F}(V5), p18-{F}(V6,V7,V7) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #10: input, references = 8, size of lhs = 7:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), p15-{F}(V5), p3-{F}(V5,V6) | p15-{T}(V6)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #11: input, references = 3, size of lhs = 8:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V5,V7), P_f11-{F}(V6,V8), p6-{F}(V5,V6) | p10-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #12: input, references = 3, size of lhs = 8:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f9-{F}(V5,V7), P_f9-{F}(V6,V8), p3-{F}(V5,V6) | p8-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #13: input, references = 3, size of lhs = 8:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f14-{F}(V5,V7), P_f14-{F}(V6,V8), p3-{F}(V5,V6) | p5-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #14: input, references = 4, size of lhs = 7:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f9-{F}(V5,V6), P_f14-{F}(V5,V7) | p15-{T}(V5), p18-{T}(V6,V7,V7)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #15: input, references = 3, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p17-{F}(V7,V5), p16-{F}(V6,V7,V1) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #16: input, references = 3, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p10-{F}(V9,V7), p10-{F}(V9,V8) | p10-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #17: input, references = 3, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p8-{F}(V9,V7), p8-{F}(V9,V8) | p8-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #18: input, references = 3, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p6-{F}(V9,V7), p6-{F}(V9,V8) | p6-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #19: input, references = 7, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p5-{F}(V9,V7), p5-{F}(V9,V8) | p5-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #20: input, references = 6, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p3-{F}(V9,V7), p3-{F}(V9,V8) | p3-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #21: input, references = 3, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p2-{F}(V9,V7), p2-{F}(V9,V8) | p2-{T}(V7,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #22: input, references = 6, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p16-{F}(V7,V9,V8), p16-{F}(V7,V10,V9) | p16-{T}(V7,V10,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #23: input, references = 3, size of lhs = 10:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p17-{F}(V7,V8), p10-{F}(V8,V9), p5-{F}(V7,V10) | p17-{T}(V10,V9)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #24: input, references = 8, size of lhs = 11:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p3-{F}(V7,V8), P_f4-{F}(V10,V7,V11), P_f4-{F}(V9,V8,V12), p2-{F}(V10,V9) | p3-{T}(V11,V12)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #25: input, references = 8, size of lhs = 11:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p6-{F}(V7,V8), P_f7-{F}(V10,V7,V11), P_f7-{F}(V9,V8,V12), p5-{F}(V10,V9) | p2-{T}(V11,V12)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #26: input, references = 4, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), P_f13-{F}(V9,V7,V8,V10), p16-{F}(V9,V7,V8) | p5-{T}(V7,V8), p16-{T}(V9,V7,V10)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #27: input, references = 4, size of lhs = 9:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), P_f13-{F}(V9,V7,V8,V10), p16-{F}(V9,V7,V8) | p5-{T}(V7,V8), p16-{T}(V9,V10,V8)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #28: input, references = 3, size of lhs = 11:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p16-{F}(V7,V9,V8), p5-{F}(V8,V10), p5-{F}(V9,V11), p8-{F}(V7,V12) | p16-{T}(V12,V11,V10)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #29: input, references = 4, size of lhs = 11:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p18-{F}(V7,V9,V8), p5-{F}(V8,V10), p5-{F}(V9,V11), p8-{F}(V7,V12) | p18-{T}(V12,V11,V10)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #30: input, references = 8, size of lhs = 12:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p5-{F}(V7,V8), p5-{F}(V10,V9), P_f13-{F}(V12,V10,V7,V13), P_f13-{F}(V11,V9,V8,V14), p8-{F}(V12,V11) | p5-{T}(V13,V14)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #31: input, references = 4, size of lhs = 12:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), P_f9-{F}(V7,V10), P_f7-{F}(V11,V12,V13), P_f4-{F}(V13,V7,V14), P_f9-{F}(V14,V15), p18-{F}(V15,V8,V9) | p18-{T}(V10,V8,V9), p16-{T}(V10,V8,V11)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #32: input, references = 4, size of lhs = 14:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), P_f9-{F}(V7,V10), P_f12-{F}(V7,V12,V11,V8,V9,V13), P_f11-{F}(V11,V14), P_f7-{F}(V12,V11,V15), P_f4-{F}(V15,V7,V16), P_f9-{F}(V16,V17), p18-{F}(V17,V8,V9) | p18-{T}(V10,V8,V9), p17-{T}(V13,V14)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #33: input, references = 5, size of lhs = 13:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), P_f9-{F}(V7,V10), P_f12-{F}(V7,V12,V11,V8,V9,V13), P_f7-{F}(V12,V11,V14), P_f4-{F}(V14,V7,V15), P_f9-{F}(V15,V16), p18-{F}(V16,V8,V9) | p18-{T}(V10,V8,V9), p16-{T}(V10,V13,V9)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #34: input, references = 3, size of lhs = 14:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f9-{F}(V0,V6), p5-{F}(V7,V8), p5-{F}(V10,V9), p6-{F}(V12,V11), p5-{F}(V14,V13), P_f12-{F}(V16,V14,V12,V10,V7,V17), P_f12-{F}(V15,V13,V11,V9,V8,V18), p3-{F}(V16,V15) | p5-{T}(V17,V18)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #35: input, references = 4, size of lhs = 0:
% 1.92/2.10     FALSE | EXISTS V0: P_c21-{T}(V0)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #36: input, references = 4, size of lhs = 2:
% 1.92/2.10     #-{F} V0, #-{F} V1 | EXISTS V2: P_f4-{T}(V0,V1,V2)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #37: input, references = 4, size of lhs = 2:
% 1.92/2.10     #-{F} V0, #-{F} V1 | EXISTS V2: P_f7-{T}(V0,V1,V2)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #38: input, references = 4, size of lhs = 0:
% 1.92/2.10     FALSE | EXISTS V0: P_c19-{T}(V0)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #39: input, references = 4, size of lhs = 0:
% 1.92/2.10     FALSE | EXISTS V0: P_c20-{T}(V0)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #40: input, references = 5, size of lhs = 1:
% 1.92/2.10     #-{F} V0 | EXISTS V1: P_f9-{T}(V0,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #41: input, references = 4, size of lhs = 1:
% 1.92/2.10     #-{F} V0 | EXISTS V1: P_f11-{T}(V0,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #42: input, references = 4, size of lhs = 1:
% 1.92/2.10     #-{F} V0 | EXISTS V1: P_f14-{T}(V0,V1)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #43: input, references = 3, size of lhs = 3:
% 1.92/2.10     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f13-{T}(V0,V1,V2,V3)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #44: input, references = 5, size of lhs = 5:
% 1.92/2.10     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_f12-{T}(V0,V1,V2,V3,V4,V5)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  number of initial rules = 45
% 1.92/2.10  
% 1.92/2.10  Simplifiers:
% 1.92/2.10  #45: unsound, references = 3, size of lhs = 2:
% 1.92/2.10     p6-{F}(V0,V1), V1 == V0 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #46: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #47: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_f4-{F}(V0,V1,V2), P_f4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #48: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_f7-{F}(V0,V1,V2), P_f7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #49: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_c19-{F}(V0), P_c19-{F}(V1), V0 == V1 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #50: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #51: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_f9-{F}(V0,V1), P_f9-{F}(V0,V3), V1 == V3 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #52: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_f11-{F}(V0,V1), P_f11-{F}(V0,V3), V1 == V3 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #53: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_f14-{F}(V0,V1), P_f14-{F}(V0,V3), V1 == V3 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #54: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_f13-{F}(V0,V1,V2,V3), P_f13-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #55: unsound, references = 3, size of lhs = 3:
% 1.92/2.10     P_f12-{F}(V0,V1,V2,V3,V4,V5), P_f12-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  number of simplifiers = 11
% 1.92/2.10  
% 1.92/2.10  Learnt:
% 1.92/2.10  #62: mergings( V0 == V8, V1 == V9, V2 == V10, V3 == V11, V4 == V5; #56 ), references = 2, size of lhs = 7:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f9-{F}(V4,V5), P_f14-{F}(V4,V6) | p18-{T}(V5,V6,V6)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #124: mergings( V64 == V63, V0 == V11, V11 == V18, V18 == V25, V25 == V32, V32 == V39, V39 == V46, V46 == V52, V1 == V12, V12 == V19, V19 == V26, V26 == V33, V33 == V40, V40 == V47, V47 == V53, V2 == V13, V3 == V14, V4 == V15, V13 == V20, V14 == V21, V15 == V22, V20 == V27, V21 == V28, V22 == V29, V27 == V34, V28 == V35, V29 == V36, V34 == V41, V35 == V42, V36 == V43, V41 == V48, V42 == V49, V43 == V50, V48 == V54, V49 == V55, V50 == V56, V6 == V17, V17 == V24, V24 == V31, V31 == V38, V38 == V45, V5 == V16, V16 == V23, V23 == V30, V30 == V37, V37 == V44; #76 ), references = 1, size of lhs = 21:
% 1.92/2.10     p15-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_c19-{F}(V3), P_c20-{F}(V4), P_f11-{F}(V4,V5), P_f7-{F}(V3,V4,V6), P_f4-{F}(V6,V1,V7), p6-{F}(V8,V8), p5-{F}(V9,V10), p8-{F}(V11,V12), p3-{F}(V13,V14), P_f4-{F}(V15,V13,V0), P_f7-{F}(V16,V8,V15), P_f13-{F}(V12,V17,V10,V16), p5-{F}(V18,V17), P_f13-{F}(V11,V19,V9,V18), p16-{F}(V20,V18,V19), P_f13-{F}(V20,V18,V19,V21), P_f7-{F}(V19,V8,V22), P_f4-{F}(V22,V14,V7) | p16-{T}(V20,V18,V21)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #178: mergings( V77 == V76, V0 == V11, V11 == V18, V18 == V25, V25 == V32, V32 == V39, V39 == V46, V46 == V53, V53 == V59, V1 == V12, V12 == V19, V19 == V26, V26 == V33, V33 == V40, V40 == V47, V47 == V54, V54 == V60, V2 == V13, V3 == V14, V4 == V15, V13 == V20, V14 == V21, V15 == V22, V20 == V27, V21 == V28, V22 == V29, V27 == V34, V28 == V35, V29 == V36, V34 == V41, V35 == V42, V36 == V43, V41 == V48, V42 == V49, V43 == V50, V48 == V55, V49 == V56, V50 == V57, V55 == V61, V56 == V62, V57 == V63, V6 == V17, V17 == V24, V24 == V31, V31 == V38, V38 == V45, V45 == V52, V5 == V16, V16 == V23, V23 == V30, V30 == V37, V37 == V44, V44 == V51; #77 ), references = 1, size of lhs = 26:
% 1.92/2.10     p15-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_c19-{F}(V3), P_c20-{F}(V4), P_f11-{F}(V4,V5), P_f7-{F}(V3,V4,V6), P_f4-{F}(V6,V1,V7), p6-{F}(V8,V8), p5-{F}(V9,V10), p5-{F}(V11,V10), p18-{F}(V12,V9,V11), p8-{F}(V12,V13), P_f9-{F}(V14,V13), p5-{F}(V15,V16), p8-{F}(V17,V18), p3-{F}(V19,V20), P_f4-{F}(V21,V19,V0), P_f7-{F}(V22,V8,V21), P_f13-{F}(V18,V23,V16,V22), p5-{F}(V24,V23), P_f13-{F}(V17,V25,V15,V24), p16-{F}(V26,V24,V25), P_f13-{F}(V26,V24,V25,V27), P_f7-{F}(V25,V8,V28), P_f4-{F}(V28,V20,V14) | p16-{T}(V26,V24,V27)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #187: mergings( V0 == V18, V1 == V19, V2 == V20, V3 == V21, V4 == V22, V6 == V23, V5 == V14; #179 ), references = 4, size of lhs = 15:
% 1.92/2.10     P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f7-{F}(V1,V2,V3), P_f4-{F}(V3,V0,V4), P_f11-{F}(V2,V5), P_f11-{F}(V6,V5), P_f9-{F}(V0,V7), p16-{F}(V7,V8,V1), P_f9-{F}(V9,V10), P_f7-{F}(V11,V6,V12), P_f4-{F}(V12,V9,V13), P_f9-{F}(V13,V14), p18-{F}(V14,V15,V16), P_f12-{F}(V9,V11,V6,V15,V16,V8) | p18-{T}(V10,V15,V16)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #211: mergings( V0 == V16, V16 == V23, V23 == V31, V1 == V17, V17 == V24, V24 == V32, V2 == V18, V3 == V19, V4 == V20, V18 == V25, V19 == V26, V20 == V27, V25 == V33, V26 == V34, V27 == V35, V6 == V22, V22 == V30, V5 == V21, V21 == V28; #191 ), references = 1, size of lhs = 23:
% 1.92/2.10     P_c21-{F}(V0), P_f9-{F}(V0,V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f11-{F}(V5,V4), P_f7-{F}(V2,V3,V6), P_f4-{F}(V6,V0,V7), p15-{F}(V8), P_f9-{F}(V8,V9), P_f9-{F}(V10,V9), p16-{F}(V1,V11,V2), p16-{F}(V1,V12,V11), P_f9-{F}(V13,V14), P_f9-{F}(V15,V14), P_f4-{F}(V16,V10,V15), P_f7-{F}(V17,V5,V16), P_f12-{F}(V10,V17,V5,V18,V18,V12), p18-{F}(V19,V18,V18), P_f9-{F}(V20,V19), P_f4-{F}(V21,V13,V20), P_f7-{F}(V22,V23,V21), P_f12-{F}(V13,V22,V23,V18,V18,V24) | p16-{T}(V14,V24,V18)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #258: mergings( V5 == V12, V12 == V19, V19 == V27, V27 == V35, V35 == V42, V42 == V49, V63 == V64, V62 == V65, V6 == V13, V13 == V20, V20 == V28, V28 == V36, V36 == V43, V43 == V50, V7 == V14, V8 == V15, V9 == V16, V14 == V21, V15 == V22, V16 == V23, V21 == V29, V22 == V30, V23 == V31, V29 == V37, V30 == V38, V31 == V39, V37 == V44, V38 == V45, V39 == V46, V44 == V51, V45 == V52, V46 == V53, V11 == V18, V18 == V26, V26 == V41, V41 == V48, V48 == V55, V61 == V66, V10 == V17, V17 == V24, V24 == V40, V40 == V47; #215 ), references = 2, size of lhs = 26:
% 1.92/2.10     p15-{F}(V0), P_f9-{F}(V0,V1), P_f9-{F}(V2,V1), P_c21-{F}(V3), P_f9-{F}(V3,V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f11-{F}(V6,V7), P_f11-{F}(V8,V7), P_f11-{F}(V9,V7), P_f7-{F}(V5,V6,V10), P_f4-{F}(V10,V3,V11), p15-{F}(V12), P_f9-{F}(V12,V4), P_f9-{F}(V13,V4), p16-{F}(V4,V14,V5), p16-{F}(V4,V15,V14), P_f9-{F}(V16,V4), P_f4-{F}(V17,V2,V16), P_f7-{F}(V18,V8,V17), P_f12-{F}(V2,V18,V8,V19,V19,V15), p16-{F}(V4,V19,V5), p18-{F}(V20,V19,V19), P_f9-{F}(V21,V20), P_f4-{F}(V22,V13,V21), P_f7-{F}(V23,V9,V22) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #317: mergings( V58 == V57, V0 == V11, V11 == V18, V18 == V25, V25 == V32, V32 == V39, V39 == V45, V1 == V12, V12 == V19, V19 == V26, V26 == V33, V33 == V40, V40 == V46, V2 == V13, V3 == V14, V4 == V15, V13 == V20, V14 == V21, V15 == V22, V20 == V27, V21 == V28, V22 == V29, V27 == V34, V28 == V35, V29 == V36, V34 == V41, V35 == V42, V36 == V43, V41 == V47, V42 == V48, V43 == V49, V6 == V17, V17 == V24, V24 == V31, V31 == V38, V5 == V16, V16 == V23, V23 == V30, V30 == V37; #275 ), references = 1, size of lhs = 21:
% 1.92/2.10     p15-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_c19-{F}(V3), P_c20-{F}(V4), P_f11-{F}(V4,V5), P_f7-{F}(V3,V4,V6), P_f4-{F}(V6,V1,V7), p6-{F}(V8,V8), p3-{F}(V9,V7), p5-{F}(V10,V11), p8-{F}(V12,V13), P_f13-{F}(V12,V14,V10,V15), P_f7-{F}(V15,V8,V16), P_f4-{F}(V16,V17,V9), p3-{F}(V17,V18), P_f4-{F}(V19,V18,V0), P_f7-{F}(V20,V8,V19), P_f13-{F}(V13,V21,V11,V20), p16-{F}(V22,V14,V21), P_f13-{F}(V22,V14,V21,V23) | p16-{T}(V22,V23,V21)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #357: mergings( V57 == V56, V0 == V11, V11 == V18, V18 == V25, V25 == V32, V32 == V39, V39 == V45, V1 == V12, V12 == V19, V19 == V26, V26 == V33, V33 == V40, V40 == V46, V2 == V13, V3 == V14, V4 == V15, V13 == V20, V14 == V21, V15 == V22, V20 == V27, V21 == V28, V22 == V29, V27 == V34, V28 == V35, V29 == V36, V34 == V41, V35 == V42, V36 == V43, V41 == V47, V42 == V48, V43 == V49, V6 == V17, V17 == V24, V24 == V31, V31 == V38, V5 == V16, V16 == V23, V23 == V30, V30 == V37; #276 ), references = 1, size of lhs = 23:
% 1.92/2.10     p15-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_c19-{F}(V3), P_c20-{F}(V4), P_f11-{F}(V4,V5), P_f7-{F}(V3,V4,V6), P_f4-{F}(V6,V1,V7), p6-{F}(V8,V8), p5-{F}(V9,V10), p8-{F}(V11,V12), P_f13-{F}(V11,V13,V9,V14), P_f7-{F}(V14,V8,V15), p16-{F}(V16,V13,V17), P_f13-{F}(V16,V13,V17,V18), P_f13-{F}(V12,V17,V10,V19), P_f7-{F}(V19,V8,V20), P_f4-{F}(V20,V21,V0), p3-{F}(V22,V21), P_f4-{F}(V15,V22,V23), p3-{F}(V23,V24), P_f9-{F}(V24,V25), p18-{F}(V25,V26,V26) | p16-{T}(V16,V18,V17)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #399: mergings( V71 == V70, V0 == V11, V11 == V18, V18 == V25, V25 == V32, V32 == V39, V39 == V45, V1 == V12, V12 == V19, V19 == V26, V26 == V33, V33 == V40, V40 == V47, V2 == V13, V3 == V14, V4 == V15, V13 == V20, V14 == V21, V15 == V22, V20 == V27, V21 == V28, V22 == V29, V27 == V34, V28 == V35, V29 == V36, V34 == V41, V35 == V42, V36 == V43, V41 == V48, V42 == V52, V43 == V53, V6 == V17, V17 == V24, V24 == V31, V31 == V38, V38 == V46, V5 == V16, V16 == V23, V23 == V30, V30 == V37, V37 == V49; #277 ), references = 1, size of lhs = 39:
% 1.92/2.10     p15-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_c19-{F}(V3), P_c20-{F}(V4), P_f11-{F}(V4,V5), P_f11-{F}(V6,V5), P_f11-{F}(V7,V5), P_f7-{F}(V3,V4,V8), P_f4-{F}(V8,V1,V9), p15-{F}(V10), P_f9-{F}(V10,V2), P_f9-{F}(V11,V2), p6-{F}(V12,V12), p16-{F}(V2,V13,V3), p16-{F}(V2,V14,V13), P_f9-{F}(V15,V2), p16-{F}(V2,V16,V3), p18-{F}(V17,V16,V16), P_f9-{F}(V18,V17), P_f4-{F}(V19,V11,V18), P_f7-{F}(V20,V7,V19), p5-{F}(V21,V22), p8-{F}(V23,V24), P_f13-{F}(V23,V25,V21,V26), P_f7-{F}(V26,V12,V27), p16-{F}(V28,V25,V29), P_f13-{F}(V28,V25,V29,V30), P_f13-{F}(V24,V29,V22,V31), P_f7-{F}(V31,V12,V32), P_f4-{F}(V32,V33,V0), p3-{F}(V34,V33), P_f4-{F}(V27,V34,V35), p3-{F}(V35,V36), P_f9-{F}(V36,V37), P_f9-{F}(V38,V37), P_f12-{F}(V38,V39,V6,V16,V16,V14), P_f7-{F}(V39,V6,V40), P_f4-{F}(V40,V38,V15) | p16-{T}(V28,V30,V29)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #406: mergings( V0 == V16, V1 == V17, V2 == V18, V3 == V19, V4 == V20; #400 ), references = 2, size of lhs = 15:
% 1.92/2.10     P_c21-{F}(V0), P_f9-{F}(V0,V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f7-{F}(V2,V3,V5), P_f4-{F}(V5,V0,V6), p15-{F}(V7), P_f9-{F}(V7,V8), P_f9-{F}(V9,V8), P_f4-{F}(V10,V9,V11), P_f9-{F}(V11,V12), p18-{F}(V12,V13,V13), P_f7-{F}(V14,V15,V10), P_f12-{F}(V9,V14,V15,V13,V13,V16) | p16-{T}(V8,V16,V13)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #436: mergings( V5 == V14, V14 == V21, V21 == V27, V36 == V37, V35 == V38, V7 == V15, V15 == V22, V22 == V28, V8 == V16, V10 == V17, V11 == V18, V16 == V23, V17 == V24, V18 == V25, V23 == V29, V24 == V30, V25 == V31, V6 == V20, V13 == V33, V20 == V33, V34 == V39, V9 == V19, V19 == V26; #412 ), references = 1, size of lhs = 18:
% 1.92/2.10     p15-{F}(V0), P_f9-{F}(V0,V1), P_c21-{F}(V2), P_f9-{F}(V2,V1), P_c19-{F}(V3), P_c20-{F}(V4), P_f11-{F}(V4,V5), P_f11-{F}(V6,V5), P_f7-{F}(V3,V4,V7), P_f4-{F}(V7,V2,V8), p15-{F}(V9), P_f9-{F}(V9,V1), P_f9-{F}(V10,V1), p16-{F}(V1,V11,V3), p18-{F}(V12,V11,V11), P_f9-{F}(V13,V12), P_f4-{F}(V14,V10,V13), P_f7-{F}(V15,V6,V14) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #468: mergings( V0 == V16, V16 == V25, V25 == V32, V32 == V38, V47 == V49, V46 == V50, V1 == V18, V18 == V26, V26 == V9, V9 == V39, V2 == V19, V3 == V21, V4 == V22, V19 == V27, V21 == V28, V22 == V29, V27 == V33, V28 == V34, V29 == V35, V33 == V40, V34 == V41, V35 == V42, V6 == V17, V17 == V31, V8 == V44, V31 == V44, V45 == V51, V5 == V20, V20 == V30, V30 == V36; #437 ), references = 2, size of lhs = 22:
% 1.92/2.10     p15-{F}(V0), P_f9-{F}(V0,V1), P_f9-{F}(V2,V1), P_c21-{F}(V3), P_f9-{F}(V3,V1), P_c19-{F}(V4), P_c20-{F}(V5), P_f11-{F}(V5,V6), P_f11-{F}(V7,V6), P_f7-{F}(V4,V5,V8), P_f4-{F}(V8,V3,V9), p15-{F}(V10), P_f9-{F}(V10,V1), P_f9-{F}(V11,V1), P_f7-{F}(V4,V12,V13), P_f4-{F}(V13,V2,V14), P_f9-{F}(V14,V15), P_f7-{F}(V16,V7,V17), P_f4-{F}(V17,V11,V18), P_f9-{F}(V18,V19), p18-{F}(V19,V20,V20), p18-{F}(V15,V20,V21) | p18-{T}(V1,V20,V21)
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #484: mergings( V2 == V10, V10 == V19, V3 == V11, V11 == V20, V4 == V12, V5 == V15, V0 == V16, V12 == V21, V15 == V22, V16 == V23; #473 ), references = 1, size of lhs = 23:
% 1.92/2.10     p15-{F}(V0), P_f9-{F}(V0,V1), P_f9-{F}(V2,V1), p15-{F}(V3), P_f9-{F}(V3,V1), P_f9-{F}(V4,V1), P_c21-{F}(V5), P_f9-{F}(V5,V1), P_c19-{F}(V6), P_c20-{F}(V7), P_f11-{F}(V7,V8), P_f11-{F}(V9,V8), P_f7-{F}(V6,V7,V10), P_f4-{F}(V10,V5,V11), P_f9-{F}(V11,V12), p15-{F}(V13), P_f9-{F}(V13,V1), P_f9-{F}(V14,V12), P_f4-{F}(V15,V2,V14), P_f7-{F}(V6,V16,V15), P_f9-{F}(V17,V12), P_f4-{F}(V18,V4,V17), P_f7-{F}(V19,V9,V18) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #496: mergings( V2 == V9, V9 == V18, V3 == V10, V10 == V19, V4 == V11, V5 == V14, V0 == V15, V11 == V20, V14 == V21, V15 == V22; #485 ), references = 1, size of lhs = 20:
% 1.92/2.10     p15-{F}(V0), P_f9-{F}(V0,V1), P_f9-{F}(V2,V1), p15-{F}(V3), P_f9-{F}(V3,V1), P_f9-{F}(V4,V1), P_c21-{F}(V5), P_f9-{F}(V5,V1), P_c19-{F}(V6), P_c20-{F}(V7), P_f11-{F}(V7,V8), P_f11-{F}(V9,V8), P_f7-{F}(V6,V7,V10), P_f4-{F}(V10,V5,V11), p15-{F}(V12), P_f9-{F}(V12,V1), P_f4-{F}(V13,V2,V11), P_f7-{F}(V6,V14,V13), P_f4-{F}(V15,V4,V11), P_f7-{F}(V16,V9,V15) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #502: mergings( V3 == V7, V7 == V12, V4 == V8, V8 == V13; #497 ), references = 1, size of lhs = 15:
% 1.92/2.10     p15-{F}(V0), P_f9-{F}(V0,V1), p15-{F}(V2), P_f9-{F}(V2,V1), P_c21-{F}(V3), P_f9-{F}(V3,V1), P_c19-{F}(V4), P_c20-{F}(V5), P_f11-{F}(V5,V6), P_f11-{F}(V7,V6), P_f7-{F}(V4,V5,V8), p15-{F}(V9), P_f9-{F}(V9,V1), P_f7-{F}(V4,V10,V8), P_f7-{F}(V11,V7,V8) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #504: exists( #37, #497 ), references = 1, size of lhs = 11:
% 1.92/2.10     p15-{F}(V0), P_f9-{F}(V0,V1), p15-{F}(V2), P_f9-{F}(V2,V1), P_c21-{F}(V3), P_f9-{F}(V3,V1), P_c19-{F}(V4), P_c20-{F}(V5), P_f11-{F}(V5,V6), p15-{F}(V7), P_f9-{F}(V7,V1) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #506: exists( #40, #503 ), references = 1, size of lhs = 5:
% 1.92/2.10     P_c21-{F}(V0), p15-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f11-{F}(V2,V3) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #508: exists( #41, #505 ), references = 1, size of lhs = 4:
% 1.92/2.10     P_c21-{F}(V0), p15-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #510: exists( #39, #507 ), references = 1, size of lhs = 3:
% 1.92/2.10     P_c21-{F}(V0), p15-{F}(V0), P_c19-{F}(V1) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #512: exists( #38, #509 ), references = 1, size of lhs = 2:
% 1.92/2.10     P_c21-{F}(V0), p15-{F}(V0) | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  #515: exists( #35, #513 ), references = 1, size of lhs = 0:
% 1.92/2.10     FALSE | FALSE
% 1.92/2.10        (used 0 times, uses = {})
% 1.92/2.10  
% 1.92/2.10  number of learnt formulas = 21
% 1.92/2.10  
% 1.92/2.10  
% 1.92/2.10  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.92/2.10  
% 1.92/2.10  randbase = 1
%------------------------------------------------------------------------------