TSTP Solution File: SYN600-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN600-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n014.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 06:25:03 EDT 2022

% Result   : Unsatisfiable 2.84s 3.06s
% Output   : Refutation 2.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN600-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n014.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 : Sat Jul 23 03:12:27 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 2.84/3.06  GeoParameters:
% 2.84/3.06  
% 2.84/3.06  tptp_input =     1
% 2.84/3.06  tptp_output =    0
% 2.84/3.06  nonempty =       1
% 2.84/3.06  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/3.06  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.84/3.06  
% 2.84/3.06  
% 2.84/3.06  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/3.06  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/3.06  
% 2.84/3.06  RuleSystem INPUT:
% 2.84/3.06  
% 2.84/3.06  Initial Rules:
% 2.84/3.06  #0: input, references = 4, size of lhs = 1:
% 2.84/3.06     P_c21-{F}(V0) | p19-{T}(V0)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #1: input, references = 4, size of lhs = 2:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1) | p19-{T}(V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #2: input, references = 3, size of lhs = 3:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), #-{F} V2 | p2-{T}(V2,V2)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #3: input, references = 6, size of lhs = 3:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), #-{F} V2 | p7-{T}(V2,V2)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #4: input, references = 3, size of lhs = 3:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), #-{F} V2 | p5-{T}(V2,V2)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #5: input, references = 4, size of lhs = 3:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), #-{F} V2 | p3-{T}(V2,V2)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #6: input, references = 4, size of lhs = 4:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3) | p7-{T}(V2,V3)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #7: input, references = 5, size of lhs = 9:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p3-{F}(V5,V7) | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #8: input, references = 3, size of lhs = 10:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p19-{F}(V8), p5-{F}(V8,V9) | p19-{T}(V9)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #9: input, references = 3, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_f16-{F}(V8,V10), P_f16-{F}(V9,V11), p5-{F}(V8,V9) | p7-{T}(V10,V11)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #10: input, references = 3, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_f6-{F}(V8,V10), P_f6-{F}(V9,V11), p5-{F}(V8,V9) | p2-{T}(V10,V11)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #11: input, references = 3, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_f11-{F}(V8,V10), P_f11-{F}(V9,V11), p3-{F}(V8,V9) | p3-{T}(V10,V11)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #12: input, references = 3, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_f12-{F}(V8,V10), P_f12-{F}(V9,V11), p3-{F}(V8,V9) | p3-{T}(V10,V11)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #13: input, references = 3, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_f14-{F}(V8,V10), P_f14-{F}(V9,V11), p3-{F}(V8,V9) | p3-{T}(V10,V11)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #14: input, references = 3, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_f4-{F}(V8,V10), P_f4-{F}(V9,V11), p2-{F}(V8,V9) | p3-{T}(V10,V11)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #15: input, references = 3, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_f13-{F}(V8,V10), P_f13-{F}(V9,V11), p3-{F}(V8,V9) | p7-{T}(V10,V11)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #16: input, references = 4, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_f15-{F}(V8,V10), P_f15-{F}(V9,V11), p7-{F}(V8,V9) | p7-{T}(V10,V11)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #17: input, references = 3, size of lhs = 10:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p2-{F}(V10,V8), p2-{F}(V10,V9) | p2-{T}(V8,V9)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #18: input, references = 4, size of lhs = 10:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p7-{F}(V10,V8), p7-{F}(V10,V9) | p7-{T}(V8,V9)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #19: input, references = 3, size of lhs = 10:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p5-{F}(V10,V8), p5-{F}(V10,V9) | p5-{T}(V8,V9)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #20: input, references = 3, size of lhs = 10:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p3-{F}(V10,V8), p3-{F}(V10,V9) | p3-{T}(V8,V9)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #21: input, references = 4, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p17-{F}(V8,V9), p7-{F}(V9,V10), p7-{F}(V8,V11) | p17-{T}(V11,V10)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #22: input, references = 4, size of lhs = 11:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p18-{F}(V8,V9), p7-{F}(V9,V10), p7-{F}(V8,V11) | p18-{T}(V11,V10)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #23: input, references = 3, size of lhs = 12:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p7-{F}(V8,V9), P_f9-{F}(V11,V8,V12), P_f9-{F}(V10,V9,V13), p7-{F}(V11,V10) | p7-{T}(V12,V13)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #24: input, references = 3, size of lhs = 12:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p3-{F}(V8,V9), P_f10-{F}(V11,V8,V12), P_f10-{F}(V10,V9,V13), p7-{F}(V11,V10) | p7-{T}(V12,V13)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #25: input, references = 3, size of lhs = 12:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), p7-{F}(V8,V9), P_f8-{F}(V11,V8,V12), P_f8-{F}(V10,V9,V13), p7-{F}(V11,V10) | p7-{T}(V12,V13)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #26: input, references = 4, size of lhs = 28:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_c20-{F}(V8), P_f12-{F}(V8,V9), P_f14-{F}(V9,V10), P_f11-{F}(V10,V11), P_f13-{F}(V11,V12), P_f12-{F}(V9,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f12-{F}(V17,V18), P_f11-{F}(V18,V19), P_f10-{F}(V12,V19,V20), P_f6-{F}(V21,V22), P_f4-{F}(V22,V23), P_f10-{F}(V12,V23,V24), P_f9-{F}(V24,V20,V25), P_f16-{F}(V21,V26), P_f15-{F}(V26,V27), p19-{F}(V21) | p18-{T}(V25,V27)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #27: input, references = 4, size of lhs = 29:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_c20-{F}(V8), P_f12-{F}(V8,V9), P_f14-{F}(V9,V10), P_f11-{F}(V10,V11), P_f13-{F}(V11,V12), P_f12-{F}(V9,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f12-{F}(V17,V18), P_f11-{F}(V18,V19), P_f10-{F}(V12,V19,V20), P_f16-{F}(V21,V22), P_f15-{F}(V22,V23), P_f6-{F}(V21,V24), P_f4-{F}(V24,V25), P_f10-{F}(V12,V25,V26), P_f9-{F}(V26,V20,V27), P_f8-{F}(V12,V27,V28), p19-{F}(V21) | p17-{T}(V23,V28)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #28: input, references = 4, size of lhs = 31:
% 2.84/3.06     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f4-{F}(V4,V5), P_f6-{F}(V1,V6), P_f4-{F}(V6,V7), P_c20-{F}(V8), P_f12-{F}(V8,V9), P_f14-{F}(V9,V10), P_f11-{F}(V10,V11), P_f13-{F}(V11,V12), P_f12-{F}(V9,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f12-{F}(V17,V18), P_f11-{F}(V18,V19), P_f10-{F}(V12,V19,V20), P_f6-{F}(V21,V22), P_f4-{F}(V22,V23), P_f16-{F}(V21,V24), P_f15-{F}(V24,V25), p19-{F}(V21), P_f10-{F}(V12,V26,V27), P_f9-{F}(V27,V20,V28), P_f8-{F}(V12,V28,V29), p18-{F}(V28,V25), p17-{F}(V25,V29) | p3-{T}(V23,V26)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #29: input, references = 4, size of lhs = 0:
% 2.84/3.06     FALSE | EXISTS V0: P_c21-{T}(V0)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #30: input, references = 4, size of lhs = 0:
% 2.84/3.06     FALSE | EXISTS V0: P_c22-{T}(V0)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #31: input, references = 6, size of lhs = 1:
% 2.84/3.06     #-{F} V0 | EXISTS V1: P_f16-{T}(V0,V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #32: input, references = 6, size of lhs = 1:
% 2.84/3.06     #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #33: input, references = 6, size of lhs = 1:
% 2.84/3.06     #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #34: input, references = 6, size of lhs = 1:
% 2.84/3.06     #-{F} V0 | EXISTS V1: P_f11-{T}(V0,V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #35: input, references = 10, size of lhs = 1:
% 2.84/3.06     #-{F} V0 | EXISTS V1: P_f12-{T}(V0,V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #36: input, references = 4, size of lhs = 1:
% 2.84/3.06     #-{F} V0 | EXISTS V1: P_f14-{T}(V0,V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #37: input, references = 5, size of lhs = 1:
% 2.84/3.06     #-{F} V0 | EXISTS V1: P_f13-{T}(V0,V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #38: input, references = 5, size of lhs = 1:
% 2.84/3.06     #-{F} V0 | EXISTS V1: P_f15-{T}(V0,V1)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #39: input, references = 4, size of lhs = 2:
% 2.84/3.06     #-{F} V0, #-{F} V1 | EXISTS V2: P_f9-{T}(V0,V1,V2)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #40: input, references = 6, size of lhs = 2:
% 2.84/3.06     #-{F} V0, #-{F} V1 | EXISTS V2: P_f10-{T}(V0,V1,V2)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #41: input, references = 4, size of lhs = 2:
% 2.84/3.06     #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #42: input, references = 4, size of lhs = 0:
% 2.84/3.06     FALSE | EXISTS V0: P_c20-{T}(V0)
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  number of initial rules = 43
% 2.84/3.06  
% 2.84/3.06  Simplifiers:
% 2.84/3.06  #43: unsound, references = 3, size of lhs = 2:
% 2.84/3.06     p5-{F}(V0,V1), V1 == V0 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #44: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #45: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_c22-{F}(V0), P_c22-{F}(V1), V0 == V1 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #46: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f16-{F}(V0,V1), P_f16-{F}(V0,V3), V1 == V3 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #47: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #48: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #49: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f11-{F}(V0,V1), P_f11-{F}(V0,V3), V1 == V3 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #50: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f12-{F}(V0,V1), P_f12-{F}(V0,V3), V1 == V3 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #51: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f14-{F}(V0,V1), P_f14-{F}(V0,V3), V1 == V3 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #52: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f13-{F}(V0,V1), P_f13-{F}(V0,V3), V1 == V3 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #53: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f15-{F}(V0,V1), P_f15-{F}(V0,V3), V1 == V3 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #54: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f9-{F}(V0,V1,V2), P_f9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #55: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f10-{F}(V0,V1,V2), P_f10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #56: unsound, references = 3, size of lhs = 3:
% 2.84/3.06     P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.84/3.06        (used 0 times, uses = {})
% 2.84/3.06  
% 2.84/3.06  #57: unsound, references = 3, size of lhs = 3:
% 2.84/3.07     P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  number of simplifiers = 15
% 2.84/3.07  
% 2.84/3.07  Learnt:
% 2.84/3.07  #62: mergings( V2 == V4, V3 == V5; #59 ), references = 1, size of lhs = 6:
% 2.84/3.07     P_c21-{F}(V0), P_c22-{F}(V1), P_f16-{F}(V0,V2), P_f16-{F}(V1,V3), P_f6-{F}(V0,V4), P_f6-{F}(V1,V4) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #67: mergings( V2 == V0, V3 == V0, V4 == V5; #63 ), references = 1, size of lhs = 3:
% 2.84/3.07     P_c21-{F}(V0), P_c22-{F}(V0), P_f16-{F}(V0,V1) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #71: mergings( V2 == V0, V3 == V0; #68 ), references = 1, size of lhs = 2:
% 2.84/3.07     P_c21-{F}(V0), P_c22-{F}(V0) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #110: mergings( V2 == V10, V10 == V18, V18 == V26, V26 == V50, V3 == V11, V11 == V19, V19 == V27, V27 == V51, V4 == V12, V5 == V13, V12 == V20, V13 == V21, V20 == V28, V21 == V29, V28 == V52, V29 == V53, V6 == V14, V7 == V15, V8 == V16, V9 == V17, V14 == V22, V15 == V23, V16 == V24, V17 == V25, V22 == V30, V23 == V31, V24 == V32, V25 == V33, V30 == V54, V31 == V49, V32 == V55, V33 == V56; #77 ), references = 2, size of lhs = 34:
% 2.84/3.07     P_c20-{F}(V0), P_f12-{F}(V0,V1), P_f14-{F}(V1,V2), P_f11-{F}(V2,V3), P_f13-{F}(V3,V4), P_f12-{F}(V1,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), P_f12-{F}(V9,V10), P_f11-{F}(V10,V11), P_f10-{F}(V4,V11,V12), p19-{F}(V13), P_f6-{F}(V13,V14), P_f4-{F}(V14,V15), P_f16-{F}(V13,V16), P_c21-{F}(V17), P_c22-{F}(V18), P_f16-{F}(V17,V19), P_f16-{F}(V18,V20), P_f6-{F}(V17,V21), P_f4-{F}(V21,V15), P_f6-{F}(V18,V22), P_f4-{F}(V22,V23), P_f10-{F}(V4,V23,V24), P_f9-{F}(V24,V12,V25), P_f8-{F}(V4,V25,V26), p7-{F}(V27,V25), p18-{F}(V27,V28), P_f15-{F}(V29,V28), p7-{F}(V29,V16), p17-{F}(V28,V30), p7-{F}(V30,V26) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #146: mergings( V3 == V5, V5 == V47, V4 == V6, V6 == V48, V7 == V49, V8 == V50, V9 == V51, V10 == V45, V11 == V52, V12 == V53, V13 == V31, V14 == V32, V17 == V35, V18 == V36, V19 == V37, V20 == V38, V21 == V39, V22 == V40, V23 == V41, V15 == V33, V16 == V34, V24 == V42; #123 ), references = 2, size of lhs = 38:
% 2.84/3.07     p19-{F}(V0), P_f16-{F}(V0,V1), P_f15-{F}(V1,V2), P_f6-{F}(V0,V3), P_f4-{F}(V3,V4), P_c20-{F}(V5), P_f12-{F}(V5,V6), P_f14-{F}(V6,V7), P_f11-{F}(V7,V8), P_f13-{F}(V8,V9), P_f10-{F}(V9,V4,V10), P_f12-{F}(V6,V11), P_f12-{F}(V11,V12), P_f12-{F}(V12,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f11-{F}(V16,V17), P_f10-{F}(V9,V17,V18), P_f9-{F}(V10,V18,V19), p19-{F}(V20), P_f6-{F}(V20,V21), P_f4-{F}(V21,V22), P_f16-{F}(V20,V23), P_c21-{F}(V24), P_c22-{F}(V25), P_f16-{F}(V24,V26), P_f16-{F}(V25,V27), P_f6-{F}(V24,V28), P_f4-{F}(V28,V22), P_f6-{F}(V25,V29), P_f4-{F}(V29,V30), P_f10-{F}(V9,V30,V31), P_f9-{F}(V31,V18,V19), p7-{F}(V32,V19), p18-{F}(V32,V2), P_f15-{F}(V33,V2), p7-{F}(V33,V23) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #172: mergings( V3 == V5, V5 == V50, V4 == V6, V6 == V51, V7 == V52, V8 == V53, V9 == V54, V10 == V48, V11 == V55, V12 == V56, V13 == V34, V14 == V35, V18 == V39, V19 == V40, V20 == V41, V21 == V42, V22 == V43, V23 == V44, V24 == V45, V15 == V36, V16 == V37, V17 == V38; #149 ), references = 2, size of lhs = 40:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f4-{F}(V1,V2), P_f16-{F}(V0,V3), P_f15-{F}(V3,V4), p19-{F}(V5), P_f16-{F}(V5,V6), P_f15-{F}(V6,V4), P_f6-{F}(V5,V7), P_f4-{F}(V7,V8), P_c20-{F}(V9), P_f12-{F}(V9,V10), P_f14-{F}(V10,V11), P_f11-{F}(V11,V12), P_f13-{F}(V12,V13), P_f10-{F}(V13,V2,V14), P_f10-{F}(V13,V8,V14), P_f12-{F}(V10,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f12-{F}(V17,V18), P_f12-{F}(V18,V19), P_f12-{F}(V19,V20), P_f11-{F}(V20,V21), P_f10-{F}(V13,V21,V22), p19-{F}(V23), P_f6-{F}(V23,V24), P_f4-{F}(V24,V25), P_f16-{F}(V23,V26), P_c21-{F}(V27), P_c22-{F}(V28), P_f16-{F}(V27,V29), P_f16-{F}(V28,V30), P_f6-{F}(V27,V31), P_f4-{F}(V31,V25), P_f6-{F}(V28,V32), P_f4-{F}(V32,V33), P_f10-{F}(V13,V33,V14), P_f15-{F}(V34,V4), p7-{F}(V34,V26) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #194: mergings( V3 == V5, V5 == V44, V4 == V6, V6 == V45, V7 == V46, V8 == V47, V9 == V48, V10 == V42, V11 == V49, V12 == V1, V13 == V30, V14 == V31, V17 == V34, V18 == V35, V19 == V36, V20 == V37, V21 == V38, V22 == V39, V15 == V32, V16 == V33; #173 ), references = 2, size of lhs = 36:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f4-{F}(V1,V2), P_f16-{F}(V0,V3), P_f15-{F}(V3,V4), p19-{F}(V5), P_f16-{F}(V5,V6), P_f15-{F}(V6,V4), P_f6-{F}(V5,V7), P_f4-{F}(V7,V2), P_c20-{F}(V8), P_f12-{F}(V8,V9), P_f14-{F}(V9,V10), P_f11-{F}(V10,V11), P_f13-{F}(V11,V12), P_f12-{F}(V9,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f12-{F}(V17,V18), P_f11-{F}(V18,V2), p19-{F}(V19), P_f6-{F}(V19,V20), P_f4-{F}(V20,V21), P_f16-{F}(V19,V22), P_c21-{F}(V23), P_c22-{F}(V24), P_f16-{F}(V23,V25), P_f16-{F}(V24,V26), P_f6-{F}(V23,V27), P_f4-{F}(V27,V21), P_f6-{F}(V24,V28), P_f4-{F}(V28,V2), P_f15-{F}(V29,V4), p7-{F}(V29,V22) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #196: exists( #37, #194 ), references = 1, size of lhs = 35:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f4-{F}(V1,V2), P_f16-{F}(V0,V3), P_f15-{F}(V3,V4), p19-{F}(V5), P_f16-{F}(V5,V6), P_f15-{F}(V6,V4), P_f6-{F}(V5,V7), P_f4-{F}(V7,V2), P_c20-{F}(V8), P_f12-{F}(V8,V9), P_f14-{F}(V9,V10), P_f11-{F}(V10,V11), P_f12-{F}(V9,V12), P_f12-{F}(V12,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f11-{F}(V17,V2), p19-{F}(V18), P_f6-{F}(V18,V19), P_f4-{F}(V19,V20), P_f16-{F}(V18,V21), P_c21-{F}(V22), P_c22-{F}(V23), P_f16-{F}(V22,V24), P_f16-{F}(V23,V25), P_f6-{F}(V22,V26), P_f4-{F}(V26,V20), P_f6-{F}(V23,V27), P_f4-{F}(V27,V2), P_f15-{F}(V28,V4), p7-{F}(V28,V21) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #198: exists( #34, #195 ), references = 1, size of lhs = 34:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f4-{F}(V1,V2), P_f16-{F}(V0,V3), P_f15-{F}(V3,V4), p19-{F}(V5), P_f16-{F}(V5,V6), P_f15-{F}(V6,V4), P_f6-{F}(V5,V7), P_f4-{F}(V7,V2), P_c20-{F}(V8), P_f12-{F}(V8,V9), P_f14-{F}(V9,V10), P_f12-{F}(V9,V11), P_f12-{F}(V11,V12), P_f12-{F}(V12,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f11-{F}(V16,V2), p19-{F}(V17), P_f6-{F}(V17,V18), P_f4-{F}(V18,V19), P_f16-{F}(V17,V20), P_c21-{F}(V21), P_c22-{F}(V22), P_f16-{F}(V21,V23), P_f16-{F}(V22,V24), P_f6-{F}(V21,V25), P_f4-{F}(V25,V19), P_f6-{F}(V22,V26), P_f4-{F}(V26,V2), P_f15-{F}(V27,V4), p7-{F}(V27,V20) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #201: exists( #40, #172 ), references = 1, size of lhs = 39:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f4-{F}(V1,V2), P_f16-{F}(V0,V3), P_f15-{F}(V3,V4), p19-{F}(V5), P_f16-{F}(V5,V6), P_f15-{F}(V6,V4), P_f6-{F}(V5,V7), P_f4-{F}(V7,V8), P_c20-{F}(V9), P_f12-{F}(V9,V10), P_f14-{F}(V10,V11), P_f11-{F}(V11,V12), P_f13-{F}(V12,V13), P_f10-{F}(V13,V2,V14), P_f10-{F}(V13,V8,V14), P_f12-{F}(V10,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f12-{F}(V17,V18), P_f12-{F}(V18,V19), P_f12-{F}(V19,V20), P_f11-{F}(V20,V21), p19-{F}(V22), P_f6-{F}(V22,V23), P_f4-{F}(V23,V24), P_f16-{F}(V22,V25), P_c21-{F}(V26), P_c22-{F}(V27), P_f16-{F}(V26,V28), P_f16-{F}(V27,V29), P_f6-{F}(V26,V30), P_f4-{F}(V30,V24), P_f6-{F}(V27,V31), P_f4-{F}(V31,V32), P_f10-{F}(V13,V32,V14), P_f15-{F}(V33,V4), p7-{F}(V33,V25) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #203: exists( #40, #200 ), references = 1, size of lhs = 36:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f4-{F}(V1,V2), P_f16-{F}(V0,V3), P_f15-{F}(V3,V4), p19-{F}(V5), P_f16-{F}(V5,V6), P_f15-{F}(V6,V4), P_f6-{F}(V5,V7), P_f4-{F}(V7,V2), P_c20-{F}(V8), P_f12-{F}(V8,V9), P_f14-{F}(V9,V10), P_f11-{F}(V10,V11), P_f13-{F}(V11,V12), P_f12-{F}(V9,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f12-{F}(V17,V18), P_f11-{F}(V18,V19), p19-{F}(V20), P_f6-{F}(V20,V21), P_f4-{F}(V21,V22), P_f16-{F}(V20,V23), P_c21-{F}(V24), P_c22-{F}(V25), P_f16-{F}(V24,V26), P_f16-{F}(V25,V27), P_f6-{F}(V24,V28), P_f4-{F}(V28,V22), P_f6-{F}(V25,V29), P_f4-{F}(V29,V2), P_f15-{F}(V30,V4), p7-{F}(V30,V23) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #205: exists( #37, #202 ), references = 1, size of lhs = 35:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f4-{F}(V1,V2), P_f16-{F}(V0,V3), P_f15-{F}(V3,V4), p19-{F}(V5), P_f16-{F}(V5,V6), P_f15-{F}(V6,V4), P_f6-{F}(V5,V7), P_f4-{F}(V7,V2), P_c20-{F}(V8), P_f12-{F}(V8,V9), P_f14-{F}(V9,V10), P_f11-{F}(V10,V11), P_f12-{F}(V9,V12), P_f12-{F}(V12,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f12-{F}(V15,V16), P_f12-{F}(V16,V17), P_f11-{F}(V17,V18), p19-{F}(V19), P_f6-{F}(V19,V20), P_f4-{F}(V20,V21), P_f16-{F}(V19,V22), P_c21-{F}(V23), P_c22-{F}(V24), P_f16-{F}(V23,V25), P_f16-{F}(V24,V26), P_f6-{F}(V23,V27), P_f4-{F}(V27,V21), P_f6-{F}(V24,V28), P_f4-{F}(V28,V2), P_f15-{F}(V29,V4), p7-{F}(V29,V22) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #214: mergings( V2 == V30, V3 == V31, V4 == V32, V5 == V33, V6 == V34, V7 == V26; #207 ), references = 1, size of lhs = 33:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f16-{F}(V0,V2), P_f15-{F}(V2,V3), p19-{F}(V4), P_f6-{F}(V4,V1), P_f16-{F}(V4,V5), P_f15-{F}(V5,V3), P_c20-{F}(V6), P_f12-{F}(V6,V7), P_f14-{F}(V7,V8), P_f11-{F}(V8,V9), P_f12-{F}(V7,V10), P_f12-{F}(V10,V11), P_f12-{F}(V11,V12), P_f12-{F}(V12,V13), P_f12-{F}(V13,V14), P_f12-{F}(V14,V15), P_f11-{F}(V15,V16), p19-{F}(V17), P_f6-{F}(V17,V18), P_f4-{F}(V18,V19), P_f16-{F}(V17,V20), p7-{F}(V21,V20), p7-{F}(V21,V22), P_f15-{F}(V22,V3), P_c21-{F}(V23), P_c22-{F}(V24), P_f6-{F}(V24,V1), P_f16-{F}(V23,V25), P_f16-{F}(V24,V26), P_f6-{F}(V23,V27), P_f4-{F}(V27,V19) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #222: mergings( V2 == V29, V3 == V30, V4 == V31, V5 == V32, V6 == V33, V7 == V25; #215 ), references = 1, size of lhs = 32:
% 2.84/3.07     p19-{F}(V0), P_f6-{F}(V0,V1), P_f16-{F}(V0,V2), P_f15-{F}(V2,V3), p19-{F}(V4), P_f6-{F}(V4,V1), P_f16-{F}(V4,V5), P_f15-{F}(V5,V3), P_c20-{F}(V6), P_f12-{F}(V6,V7), P_f14-{F}(V7,V8), P_f12-{F}(V7,V9), P_f12-{F}(V9,V10), P_f12-{F}(V10,V11), P_f12-{F}(V11,V12), P_f12-{F}(V12,V13), P_f12-{F}(V13,V14), P_f11-{F}(V14,V15), p19-{F}(V16), P_f6-{F}(V16,V17), P_f4-{F}(V17,V18), P_f16-{F}(V16,V19), p7-{F}(V20,V19), p7-{F}(V20,V21), P_f15-{F}(V21,V3), P_c21-{F}(V22), P_c22-{F}(V23), P_f6-{F}(V23,V1), P_f16-{F}(V22,V24), P_f16-{F}(V23,V25), P_f6-{F}(V22,V26), P_f4-{F}(V26,V18) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #231: mergings( V2 == V26, V3 == V27, V4 == V7, V7 == V9, V9 == V28, V5 == V29, V6 == V22; #223 ), references = 2, size of lhs = 25:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), P_f11-{F}(V9,V10), p19-{F}(V11), P_f6-{F}(V11,V12), P_f4-{F}(V12,V13), P_f16-{F}(V11,V14), p7-{F}(V15,V14), p7-{F}(V15,V16), P_f15-{F}(V16,V17), P_c21-{F}(V18), P_f16-{F}(V18,V19), P_f16-{F}(V0,V20), P_f15-{F}(V20,V17), P_f6-{F}(V18,V21), P_f4-{F}(V21,V13) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #236: exists( #38, #231 ), references = 2, size of lhs = 23:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), P_f11-{F}(V9,V10), p19-{F}(V11), P_f6-{F}(V11,V12), P_f4-{F}(V12,V13), P_f16-{F}(V11,V14), p7-{F}(V15,V14), p7-{F}(V15,V16), P_f16-{F}(V0,V16), P_c21-{F}(V17), P_f16-{F}(V17,V18), P_f6-{F}(V17,V19), P_f4-{F}(V19,V13) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #241: mergings( V2 == V18, V3 == V19; #238 ), references = 2, size of lhs = 21:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), P_f11-{F}(V9,V10), p19-{F}(V11), P_f6-{F}(V11,V12), P_f4-{F}(V12,V13), P_f16-{F}(V11,V14), P_c21-{F}(V15), P_f16-{F}(V15,V16), p7-{F}(V16,V14), P_f6-{F}(V15,V17), P_f4-{F}(V17,V13) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #245: exists( #32, #241 ), references = 1, size of lhs = 19:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), P_f11-{F}(V9,V10), p19-{F}(V11), P_f6-{F}(V11,V12), P_f16-{F}(V11,V13), P_c21-{F}(V14), P_f6-{F}(V14,V12), P_f16-{F}(V14,V15), p7-{F}(V15,V13) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #248: mergings( V13 == V14; #246 ), references = 3, size of lhs = 16:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), P_f11-{F}(V9,V10), p19-{F}(V11), P_c21-{F}(V11), P_f16-{F}(V11,V12), p7-{F}(V12,V12) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #253: mergings( V2 == V0, V3 == V4; #250 ), references = 2, size of lhs = 14:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), P_f11-{F}(V9,V10), p19-{F}(V11), P_c21-{F}(V11) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #257: mergings( V2 == V13, V3 == V4; #254 ), references = 2, size of lhs = 13:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f12-{F}(V2,V3), P_f12-{F}(V3,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f11-{F}(V8,V9), p19-{F}(V10), P_c21-{F}(V10) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #261: exists( #34, #257 ), references = 1, size of lhs = 12:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f12-{F}(V2,V3), P_f12-{F}(V3,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), p19-{F}(V9), P_c21-{F}(V9) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #262: exists( #34, #253 ), references = 1, size of lhs = 13:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), p19-{F}(V10), P_c21-{F}(V10) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #263: exists( #34, #248 ), references = 1, size of lhs = 15:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), P_f12-{F}(V8,V9), p19-{F}(V10), P_c21-{F}(V10), P_f16-{F}(V10,V11), p7-{F}(V11,V11) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #267: exists( #35, #258 ), references = 1, size of lhs = 11:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f12-{F}(V2,V3), P_f12-{F}(V3,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), p19-{F}(V8), P_c21-{F}(V8) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #268: exists( #35, #259 ), references = 1, size of lhs = 12:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), p19-{F}(V9), P_c21-{F}(V9) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #269: exists( #35, #260 ), references = 1, size of lhs = 14:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), P_f12-{F}(V7,V8), p19-{F}(V9), P_c21-{F}(V9), P_f16-{F}(V9,V10), p7-{F}(V10,V10) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #273: exists( #35, #264 ), references = 1, size of lhs = 10:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f12-{F}(V2,V3), P_f12-{F}(V3,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), p19-{F}(V7), P_c21-{F}(V7) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #274: exists( #35, #265 ), references = 1, size of lhs = 11:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), p19-{F}(V8), P_c21-{F}(V8) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #275: exists( #35, #266 ), references = 1, size of lhs = 13:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), P_f12-{F}(V6,V7), p19-{F}(V8), P_c21-{F}(V8), P_f16-{F}(V8,V9), p7-{F}(V9,V9) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #279: exists( #35, #270 ), references = 1, size of lhs = 9:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f12-{F}(V2,V3), P_f12-{F}(V3,V4), P_f12-{F}(V4,V5), p19-{F}(V6), P_c21-{F}(V6) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #280: exists( #35, #271 ), references = 1, size of lhs = 10:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), p19-{F}(V7), P_c21-{F}(V7) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #281: exists( #35, #272 ), references = 1, size of lhs = 12:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), P_f12-{F}(V5,V6), p19-{F}(V7), P_c21-{F}(V7), P_f16-{F}(V7,V8), p7-{F}(V8,V8) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #285: exists( #35, #276 ), references = 1, size of lhs = 8:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f12-{F}(V2,V3), P_f12-{F}(V3,V4), p19-{F}(V5), P_c21-{F}(V5) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #286: exists( #35, #277 ), references = 1, size of lhs = 9:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), p19-{F}(V6), P_c21-{F}(V6) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #287: exists( #35, #278 ), references = 1, size of lhs = 11:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f14-{F}(V2,V3), P_f12-{F}(V2,V4), P_f12-{F}(V4,V5), p19-{F}(V6), P_c21-{F}(V6), P_f16-{F}(V6,V7), p7-{F}(V7,V7) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #291: exists( #35, #282 ), references = 1, size of lhs = 7:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), P_f12-{F}(V2,V3), p19-{F}(V4), P_c21-{F}(V4) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #293: exists( #35, #288 ), references = 1, size of lhs = 6:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f12-{F}(V1,V2), p19-{F}(V3), P_c21-{F}(V3) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #295: exists( #35, #292 ), references = 1, size of lhs = 5:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), p19-{F}(V2), P_c21-{F}(V2) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #297: exists( #42, #294 ), references = 1, size of lhs = 4:
% 2.84/3.07     p19-{F}(V0), P_c22-{F}(V0), p19-{F}(V1), P_c21-{F}(V1) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #301: mergings( V1 == V2; #299 ), references = 1, size of lhs = 2:
% 2.84/3.07     p19-{F}(V0), P_c21-{F}(V0) | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  #304: exists( #29, #302 ), references = 1, size of lhs = 0:
% 2.84/3.07     FALSE | FALSE
% 2.84/3.07        (used 0 times, uses = {})
% 2.84/3.07  
% 2.84/3.07  number of learnt formulas = 42
% 2.84/3.07  
% 2.84/3.07  
% 2.84/3.07  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/3.07  
% 2.84/3.07  randbase = 1
%------------------------------------------------------------------------------