TSTP Solution File: SYN563-10 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN563-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n006.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 06:24:58 EDT 2022

% Result   : Unsatisfiable 98.15s 98.36s
% Output   : Refutation 98.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN563-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33  % Computer : n006.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Sat Jul 23 03:05:47 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 98.15/98.36  GeoParameters:
% 98.15/98.36  
% 98.15/98.36  tptp_input =     1
% 98.15/98.36  tptp_output =    0
% 98.15/98.36  nonempty =       1
% 98.15/98.36  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 98.15/98.36  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 98.15/98.36  
% 98.15/98.36  
% 98.15/98.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 98.15/98.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 98.15/98.36  
% 98.15/98.36  RuleSystem INPUT:
% 98.15/98.36  
% 98.15/98.36  Initial Rules:
% 98.15/98.36  #0: input, references = 4, size of lhs = 2:
% 98.15/98.36     P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1: input, references = 4, size of lhs = 2:
% 98.15/98.36     P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #2: input, references = 4, size of lhs = 3:
% 98.15/98.36     P_true-{F}(V0), P_p2-{F}(V1,V1,V2), V2 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #3: input, references = 4, size of lhs = 3:
% 98.15/98.36     P_true-{F}(V0), P_p6-{F}(V1,V1,V2), V2 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #4: input, references = 4, size of lhs = 7:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), V5 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #5: input, references = 5, size of lhs = 10:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p5-{F}(V6,V7,V8), P_p6-{F}(V6,V7,V9), P_ifeq2-{F}(V8,V0,V9,V0,V10), V10 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #6: input, references = 4, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f3-{F}(V6,V7), P_f3-{F}(V7,V8), P_f4-{F}(V6,V9), P_f3-{F}(V9,V10), P_p5-{F}(V8,V10,V11), V11 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #7: input, references = 4, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f4-{F}(V6,V8), P_p6-{F}(V8,V7,V9), P_p5-{F}(V6,V7,V10), P_ifeq2-{F}(V9,V0,V10,V0,V11), V11 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #8: input, references = 4, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V1,V6,V7), P_f3-{F}(V6,V8), P_p6-{F}(V1,V8,V9), P_ifeq2-{F}(V7,V0,V9,V0,V10), V10 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #9: input, references = 4, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p5-{F}(V6,V7,V8), P_f4-{F}(V6,V9), P_p6-{F}(V9,V7,V10), P_ifeq2-{F}(V8,V0,V10,V0,V11), V11 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #10: input, references = 4, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V8), P_f3-{F}(V6,V9), P_f3-{F}(V7,V10), P_p2-{F}(V9,V10,V11), P_ifeq2-{F}(V8,V0,V11,V0,V12), V12 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #11: input, references = 4, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V8), P_f4-{F}(V6,V9), P_f4-{F}(V7,V10), P_p2-{F}(V9,V10,V11), P_ifeq2-{F}(V8,V0,V11,V0,V12), V12 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #12: input, references = 5, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V9), P_p2-{F}(V6,V8,V10), P_p2-{F}(V8,V7,V11), P_ifeq2-{F}(V10,V0,V11,V0,V12), P_ifeq2-{F}(V9,V0,V12,V0,V13), V13 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #13: input, references = 4, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V6,V7,V9), P_p6-{F}(V8,V6,V10), P_p6-{F}(V8,V7,V11), P_ifeq2-{F}(V10,V0,V11,V0,V12), P_ifeq2-{F}(V9,V0,V12,V0,V13), V13 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #14: input, references = 6, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V6,V7,V9), P_p5-{F}(V7,V8,V10), P_p5-{F}(V6,V8,V11), P_ifeq2-{F}(V10,V0,V11,V0,V12), P_ifeq2-{F}(V9,V0,V12,V0,V13), V13 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #15: input, references = 6, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V10), P_p2-{F}(V8,V9,V11), P_p6-{F}(V8,V6,V12), P_p6-{F}(V9,V7,V13), P_ifeq2-{F}(V12,V0,V13,V0,V14), P_ifeq2-{F}(V11,V0,V14,V0,V15), P_ifeq2-{F}(V10,V0,V15,V0,V16), V16 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #16: input, references = 10, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V10), P_p2-{F}(V8,V9,V11), P_p5-{F}(V6,V8,V12), P_p5-{F}(V7,V9,V13), P_ifeq2-{F}(V12,V0,V13,V0,V14), P_ifeq2-{F}(V11,V0,V14,V0,V15), P_ifeq2-{F}(V10,V0,V15,V0,V16), V16 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #17: input, references = 6, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V2,V3,V6), P_a-{F}(V7), P_b-{F}(V8), P_ifeq-{F}(V6,V0,V7,V8,V9), V9 == V8 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #18: input, references = 4, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V2,V3,V6), P_a-{F}(V7), P_b-{F}(V8), P_ifeq-{F}(V6,V0,V7,V8,V9), P_f3-{F}(V4,V10), P_p6-{F}(V2,V10,V11), P_ifeq-{F}(V11,V0,V7,V8,V12), V12 == V8 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #19: input, references = 9, size of lhs = 13:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V2,V3,V6), P_a-{F}(V8), P_b-{F}(V8), P_ifeq-{F}(V6,V0,V8,V8,V9), P_f3-{F}(V4,V10), P_p6-{F}(V2,V10,V11), P_ifeq-{F}(V11,V0,V8,V8,V12) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #20: input, references = 8, size of lhs = 4:
% 98.15/98.36     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #21: input, references = 5, size of lhs = 4:
% 98.15/98.36     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #22: input, references = 7, size of lhs = 2:
% 98.15/98.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_p2-{T}(V0,V1,V2)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #23: input, references = 4, size of lhs = 0:
% 98.15/98.36     FALSE | EXISTS V0: P_true-{T}(V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #24: input, references = 9, size of lhs = 2:
% 98.15/98.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_p6-{T}(V0,V1,V2)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #25: input, references = 15, size of lhs = 1:
% 98.15/98.36     #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #26: input, references = 4, size of lhs = 0:
% 98.15/98.36     FALSE | EXISTS V0: P_c7-{T}(V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #27: input, references = 4, size of lhs = 0:
% 98.15/98.36     FALSE | EXISTS V0: P_c8-{T}(V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #28: input, references = 7, size of lhs = 2:
% 98.15/98.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_p5-{T}(V0,V1,V2)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #29: input, references = 35, size of lhs = 1:
% 98.15/98.36     #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #30: input, references = 4, size of lhs = 0:
% 98.15/98.36     FALSE | EXISTS V0: P_a-{T}(V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #31: input, references = 4, size of lhs = 0:
% 98.15/98.36     FALSE | EXISTS V0: P_b-{T}(V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  number of initial rules = 32
% 98.15/98.36  
% 98.15/98.36  Simplifiers:
% 98.15/98.36  #32: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #33: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #34: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_p2-{F}(V0,V1,V2), P_p2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #35: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #36: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_p6-{F}(V0,V1,V2), P_p6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #37: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #38: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_c7-{F}(V0), P_c7-{F}(V1), V0 == V1 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #39: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_c8-{F}(V0), P_c8-{F}(V1), V0 == V1 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #40: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_p5-{F}(V0,V1,V2), P_p5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #41: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #42: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #43: unsound, references = 3, size of lhs = 3:
% 98.15/98.36     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  number of simplifiers = 12
% 98.15/98.36  
% 98.15/98.36  Learnt:
% 98.15/98.36  #45: exists( #22, #2 ), references = 17, size of lhs = 2:
% 98.15/98.36     P_true-{F}(V0), #-{F} V1 | P_p2-{T}(V1,V1,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #47: exists( #20, #0 ), references = 13, size of lhs = 3:
% 98.15/98.36     #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #49: exists( #22, #4 ), references = 11, size of lhs = 5:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4) | P_p2-{T}(V2,V4,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #56: exists( #28, #50 ), references = 8, size of lhs = 9:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V0), P_p5-{F}(V6,V8,V0), P_p2-{F}(V8,V9,V0) | P_p5-{T}(V7,V9,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #63: exists( #24, #57 ), references = 10, size of lhs = 9:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V0), P_p6-{F}(V8,V6,V0), P_p2-{F}(V8,V9,V0) | P_p6-{T}(V9,V7,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #64: exists( #24, #58 ), references = 10, size of lhs = 7:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p5-{F}(V6,V7,V0) | P_p6-{T}(V6,V7,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #65: exists( #24, #59 ), references = 16, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p5-{F}(V6,V7,V0), P_f4-{F}(V6,V8) | P_p6-{T}(V8,V7,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #67: exists( #21, #1 ), references = 3, size of lhs = 3:
% 98.15/98.36     #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #69: exists( #24, #3 ), references = 9, size of lhs = 2:
% 98.15/98.36     P_true-{F}(V0), #-{F} V1 | P_p6-{T}(V1,V1,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #74: exists( #20, #5 ), references = 1, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p5-{F}(V6,V7,V8), P_p6-{F}(V6,V7,V9) | P_ifeq2-{T}(V8,V0,V9,V0,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #77: exists( #28, #75 ), references = 10, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f4-{F}(V6,V7), P_p6-{F}(V7,V8,V0) | P_p5-{T}(V6,V8,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #79: exists( #21, #17 ), references = 3, size of lhs = 9:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V2,V3,V6), P_a-{F}(V7), P_b-{F}(V8) | P_ifeq-{T}(V6,V0,V7,V8,V8)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #87: exists( #24, #85 ), references = 21, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V1,V6,V0), P_f3-{F}(V6,V7) | P_p6-{T}(V1,V7,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #95: mergings( V4 == V8, V5 == V9, V3 == V7; #91 ), references = 7, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V6), P_f3-{F}(V4,V7), P_p6-{F}(V2,V7,V8), P_ifeq-{F}(V8,V0,V6,V6,V9) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #107: mergings( V2 == V9, V12 == V0, V13 == V14, V3 == V8, V4 == V8, V8 == V10, V5 == V11, V6 == V0, V7 == V14; #97 ), references = 1, size of lhs = 10:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V1), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_p6-{F}(V1,V3,V0), P_p2-{F}(V1,V3,V4), P_a-{F}(V5), P_b-{F}(V5), P_ifeq-{F}(V0,V0,V5,V5,V6) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #109: exists( #20, #12 ), references = 1, size of lhs = 10:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V8), P_p2-{F}(V6,V9,V10), P_p2-{F}(V9,V7,V11), P_ifeq2-{F}(V10,V0,V11,V0,V12) | P_ifeq2-{T}(V8,V0,V12,V0,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #117: exists( #22, #115 ), references = 13, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V0), P_p2-{F}(V6,V8,V0) | P_p2-{T}(V8,V7,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #133: mergings( V7 == V13, V2 == V8, V3 == V9, V8 == V14, V9 == V15, V4 == V10, V5 == V11, V6 == V12, V10 == V16, V11 == V0, V12 == V17; #121 ), references = 1, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_p2-{F}(V1,V2,V0), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p6-{F}(V1,V4,V0), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V6), P_ifeq-{F}(V0,V0,V6,V6,V7) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #143: mergings( V5 == V7, V2 == V3, V3 == V4, V4 == V6, V6 == V8; #137 ), references = 1, size of lhs = 8:
% 98.15/98.36     P_c7-{F}(V0), P_p6-{F}(V0,V0,V1), P_true-{F}(V1), P_c8-{F}(V2), P_f4-{F}(V2,V0), P_a-{F}(V3), P_b-{F}(V3), P_ifeq-{F}(V1,V1,V3,V3,V4) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #153: exists( #20, #11 ), references = 1, size of lhs = 10:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f4-{F}(V6,V7), P_p2-{F}(V6,V8,V9), P_f4-{F}(V8,V10), P_p2-{F}(V7,V10,V11) | P_ifeq2-{T}(V9,V0,V11,V0,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #154: exists( #20, #15 ), references = 1, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V8), P_p6-{F}(V9,V6,V10), P_p2-{F}(V9,V11,V12), P_p6-{F}(V11,V7,V13), P_ifeq2-{F}(V10,V0,V13,V0,V14), P_ifeq2-{F}(V12,V0,V14,V0,V15) | P_ifeq2-{T}(V8,V0,V15,V0,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #155: exists( #20, #16 ), references = 1, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V8), P_p5-{F}(V6,V9,V10), P_p2-{F}(V9,V11,V12), P_p5-{F}(V7,V11,V13), P_ifeq2-{F}(V10,V0,V13,V0,V14), P_ifeq2-{F}(V12,V0,V14,V0,V15) | P_ifeq2-{T}(V8,V0,V15,V0,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #162: exists( #22, #160 ), references = 11, size of lhs = 9:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V0), P_f3-{F}(V6,V8), P_f3-{F}(V7,V9) | P_p2-{T}(V8,V9,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #187: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V23, V16 == V0, V17 == V24; #169 ), references = 3, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_p2-{F}(V4,V3,V0), P_c8-{F}(V5), P_f4-{F}(V5,V6), P_p2-{F}(V2,V6,V7), P_a-{F}(V8), P_b-{F}(V8), P_p2-{F}(V9,V6,V0), P_f3-{F}(V9,V10), P_p5-{F}(V4,V10,V0), P_ifeq-{F}(V0,V0,V8,V8,V11) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #204: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V23, V16 == V0, V17 == V24; #170 ), references = 2, size of lhs = 16:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_p2-{F}(V4,V3,V0), P_c8-{F}(V5), P_f4-{F}(V5,V6), P_p2-{F}(V2,V6,V7), P_p6-{F}(V2,V5,V8), P_a-{F}(V9), P_b-{F}(V9), P_ifeq-{F}(V8,V0,V9,V9,V10), P_p2-{F}(V11,V6,V0), P_f3-{F}(V11,V12), P_p5-{F}(V4,V12,V0), P_ifeq-{F}(V0,V0,V9,V9,V13) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #211: exists( #28, #6 ), references = 19, size of lhs = 10:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f3-{F}(V6,V7), P_f3-{F}(V7,V8), P_f4-{F}(V6,V9), P_f3-{F}(V9,V10) | P_p5-{T}(V8,V10,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #238: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V21, V16 == V0, V17 == V22; #220 ), references = 1, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V6), P_ifeq-{F}(V0,V0,V6,V6,V7), P_f4-{F}(V8,V4), P_f3-{F}(V8,V9), P_f3-{F}(V9,V10), P_f4-{F}(V10,V11), P_p2-{F}(V11,V2,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #255: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V21, V16 == V0, V17 == V22; #221 ), references = 1, size of lhs = 16:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V2,V3,V6), P_a-{F}(V7), P_b-{F}(V7), P_ifeq-{F}(V6,V0,V7,V7,V8), P_ifeq-{F}(V0,V0,V7,V7,V9), P_f4-{F}(V10,V4), P_f3-{F}(V10,V11), P_f3-{F}(V11,V12), P_f4-{F}(V12,V13), P_p2-{F}(V13,V2,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #272: mergings( V7 == V9, V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10; #264 ), references = 1, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_a-{F}(V4), P_b-{F}(V4), P_ifeq-{F}(V0,V0,V4,V4,V5), P_f4-{F}(V6,V3), P_f3-{F}(V6,V7), P_f3-{F}(V7,V8), P_f4-{F}(V8,V3) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #291: mergings( V7 == V13, V2 == V8, V3 == V9, V8 == V14, V9 == V15, V4 == V10, V5 == V11, V6 == V12, V10 == V16, V11 == V0, V12 == V17; #278 ), references = 1, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V6), P_ifeq-{F}(V0,V0,V6,V6,V7), P_f4-{F}(V8,V4), P_f3-{F}(V8,V9), P_f3-{F}(V9,V2) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #303: mergings( V7 == V13, V2 == V8, V3 == V9, V8 == V14, V9 == V15, V4 == V10, V5 == V11, V6 == V12, V10 == V16, V11 == V0, V12 == V17; #279 ), references = 1, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V2,V3,V6), P_a-{F}(V7), P_b-{F}(V7), P_ifeq-{F}(V6,V0,V7,V7,V8), P_ifeq-{F}(V0,V0,V7,V7,V9), P_f4-{F}(V10,V4), P_f3-{F}(V10,V11), P_f3-{F}(V11,V2) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #337: mergings( V17 == V23, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V18, V13 == V19, V18 == V24, V19 == V25, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V20, V15 == V21, V16 == V22, V20 == V27, V21 == V0, V22 == V28; #314 ), references = 1, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V2,V3), P_p2-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p6-{F}(V1,V5,V0), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V7,V7,V8) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #359: mergings( V17 == V23, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V18, V13 == V19, V18 == V24, V19 == V25, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V20, V15 == V21, V16 == V22, V20 == V27, V21 == V0, V22 == V28; #315 ), references = 1, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V2,V3), P_p2-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p6-{F}(V1,V5,V0), P_p2-{F}(V2,V5,V6), P_p6-{F}(V2,V4,V7), P_a-{F}(V8), P_b-{F}(V8), P_ifeq-{F}(V7,V0,V8,V8,V9), P_ifeq-{F}(V0,V0,V8,V8,V10) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #367: exists( #24, #365 ), references = 11, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V6,V7,V0), P_p6-{F}(V8,V6,V0) | P_p6-{T}(V8,V7,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #394: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V22, V16 == V0, V17 == V23; #376 ), references = 1, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_p6-{F}(V2,V3,V0), P_p2-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p6-{F}(V1,V5,V0), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V7,V7,V8) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #411: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V22, V16 == V0, V17 == V23; #377 ), references = 1, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_p6-{F}(V2,V3,V0), P_p2-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p6-{F}(V1,V5,V0), P_p2-{F}(V2,V5,V6), P_p6-{F}(V2,V4,V7), P_a-{F}(V8), P_b-{F}(V8), P_ifeq-{F}(V7,V0,V8,V8,V9), P_ifeq-{F}(V0,V0,V8,V8,V10) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #430: exists( #28, #428 ), references = 7, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V6,V7,V0), P_p5-{F}(V7,V8,V0) | P_p5-{T}(V6,V8,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #454: mergings( V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V18, V13 == V19, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V21, V15 == V22, V16 == V23; #437 ), references = 2, size of lhs = 15:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_p2-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V7,V7,V8), P_p6-{F}(V1,V9,V0), P_p2-{F}(V9,V5,V0), P_f4-{F}(V10,V9), P_f3-{F}(V10,V9) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #470: mergings( V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V18, V13 == V19, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V21, V15 == V22, V16 == V23; #438 ), references = 1, size of lhs = 17:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_p2-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V2,V5,V6), P_p6-{F}(V2,V4,V7), P_a-{F}(V8), P_b-{F}(V8), P_ifeq-{F}(V7,V0,V8,V8,V9), P_ifeq-{F}(V0,V0,V8,V8,V10), P_p6-{F}(V1,V11,V0), P_p2-{F}(V11,V5,V0), P_f4-{F}(V12,V11), P_f3-{F}(V12,V11) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #495: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V8; #490 ), references = 1, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p2-{F}(V1,V1,V0), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_p2-{F}(V3,V3,V0), P_a-{F}(V4), P_b-{F}(V4), P_ifeq-{F}(V0,V0,V4,V4,V5), P_f4-{F}(V6,V3), P_f3-{F}(V6,V3) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #522: mergings( V7 == V13, V13 == V19, V2 == V8, V3 == V9, V8 == V14, V9 == V15, V14 == V20, V15 == V21, V4 == V10, V5 == V11, V6 == V12, V10 == V16, V11 == V17, V12 == V18, V16 == V22, V17 == V23, V18 == V24; #503 ), references = 3, size of lhs = 18:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f3-{F}(V6,V7), P_p2-{F}(V7,V8,V0), P_p2-{F}(V6,V9,V0), P_f3-{F}(V10,V9), P_f4-{F}(V10,V11), P_f3-{F}(V11,V12), P_p2-{F}(V12,V13,V14), P_p5-{F}(V8,V13,V15), P_ifeq2-{F}(V0,V0,V15,V0,V16), P_ifeq2-{F}(V14,V0,V16,V0,V17), P_ifeq2-{F}(V0,V0,V17,V0,V18), V18 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #540: mergings( V7 == V13, V13 == V19, V2 == V8, V3 == V9, V8 == V14, V9 == V15, V14 == V20, V15 == V21, V4 == V10, V5 == V11, V6 == V12, V10 == V16, V11 == V17, V12 == V18, V16 == V22, V17 == V23, V18 == V24; #504 ), references = 1, size of lhs = 15:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V6,V1,V0), P_p6-{F}(V1,V7,V0), P_f3-{F}(V8,V7), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_p5-{F}(V6,V10,V11), P_ifeq2-{F}(V0,V0,V11,V0,V12), P_ifeq2-{F}(V0,V0,V12,V0,V13), V13 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #554: mergings( V2 == V7, V3 == V8, V7 == V13, V8 == V14, V4 == V9, V5 == V10, V6 == V11, V9 == V17, V10 == V18, V11 == V19; #543 ), references = 1, size of lhs = 16:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_p2-{F}(V4,V3,V0), P_c8-{F}(V5), P_f4-{F}(V5,V6), P_p2-{F}(V2,V6,V7), P_a-{F}(V8), P_b-{F}(V8), P_ifeq-{F}(V0,V0,V8,V8,V9), P_p2-{F}(V10,V6,V0), P_f4-{F}(V11,V10), P_f3-{F}(V11,V12), P_f3-{F}(V12,V13), P_p6-{F}(V4,V13,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #572: mergings( V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V18, V13 == V19, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V21, V15 == V22, V16 == V23; #556 ), references = 2, size of lhs = 15:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_p2-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V7,V7,V8), P_p6-{F}(V1,V9,V0), P_f3-{F}(V10,V9), P_f4-{F}(V10,V11), P_p2-{F}(V11,V5,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #589: mergings( V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V18, V13 == V19, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V21, V15 == V22, V16 == V23; #573 ), references = 2, size of lhs = 15:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_p2-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V7,V7,V8), P_p6-{F}(V1,V9,V0), P_f3-{F}(V10,V9), P_f4-{F}(V10,V11), P_p2-{F}(V11,V5,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #601: mergings( V6 == V8, V2 == V10, V3 == V11, V7 == V12; #595 ), references = 2, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V2,V0), P_f4-{F}(V1,V3), P_f4-{F}(V4,V3), P_p2-{F}(V1,V4,V0), P_c8-{F}(V5), P_f4-{F}(V5,V6), P_p2-{F}(V3,V6,V7), P_a-{F}(V8), P_b-{F}(V8), P_ifeq-{F}(V0,V0,V8,V8,V9), P_f4-{F}(V2,V10), P_p2-{F}(V10,V6,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #606: mergings( V6 == V8, V2 == V10, V3 == V11, V7 == V12; #596 ), references = 2, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V2,V0), P_f4-{F}(V1,V3), P_f4-{F}(V4,V3), P_p2-{F}(V1,V4,V0), P_c8-{F}(V5), P_f4-{F}(V5,V6), P_p2-{F}(V3,V6,V7), P_a-{F}(V8), P_b-{F}(V8), P_ifeq-{F}(V0,V0,V8,V8,V9), P_f4-{F}(V2,V10), P_p2-{F}(V10,V6,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #612: mergings( V2 == V5; #609 ), references = 1, size of lhs = 9:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_p2-{F}(V1,V1,V0), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_a-{F}(V4), P_b-{F}(V4), P_ifeq-{F}(V0,V0,V4,V4,V5) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #614: mergings( V2 == V5; #610 ), references = 1, size of lhs = 9:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_p2-{F}(V1,V1,V0), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_a-{F}(V4), P_b-{F}(V4), P_ifeq-{F}(V0,V0,V4,V4,V5) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #617: exists( #25, #609 ), references = 2, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_p2-{F}(V1,V1,V0), P_c8-{F}(V2), P_a-{F}(V3), P_b-{F}(V3), P_ifeq-{F}(V0,V0,V3,V3,V4) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #618: exists( #25, #610 ), references = 1, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_p2-{F}(V1,V1,V0), P_c8-{F}(V2), P_a-{F}(V3), P_b-{F}(V3), P_ifeq-{F}(V0,V0,V3,V3,V4) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #638: mergings( V6 == V8, V2 == V3, V3 == V4, V4 == V5, V5 == V7; #632 ), references = 1, size of lhs = 9:
% 98.15/98.36     P_c8-{F}(V0), P_f4-{F}(V0,V0), P_true-{F}(V1), P_c7-{F}(V2), P_p2-{F}(V2,V2,V1), P_a-{F}(V3), P_b-{F}(V4), P_ifeq-{F}(V1,V1,V3,V4,V5), V5 == V4 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #656: mergings( V8 == V10, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11; #648 ), references = 1, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p2-{F}(V1,V1,V0), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_p5-{F}(V4,V2,V0), P_f4-{F}(V4,V3), P_a-{F}(V5), P_b-{F}(V6), P_ifeq-{F}(V0,V0,V5,V6,V7), V7 == V6 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #662: exists( #20, #658 ), references = 1, size of lhs = 9:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V6,V7,V0), P_p5-{F}(V7,V8,V9), P_p5-{F}(V6,V8,V10) | P_ifeq2-{T}(V9,V0,V10,V0,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #663: exists( #20, #659 ), references = 1, size of lhs = 10:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p2-{F}(V6,V7,V0), P_p2-{F}(V8,V9,V0), P_p5-{F}(V6,V8,V10), P_p5-{F}(V7,V9,V11) | P_ifeq2-{T}(V10,V0,V11,V0,V0)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #670: mergings( V4 == V8, V5 == V9, V3 == V7; #666 ), references = 9, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_f3-{F}(V4,V8), P_p6-{F}(V2,V8,V9), P_ifeq-{F}(V9,V0,V6,V7,V10), V10 == V7 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #697: mergings( V17 == V23, V3 == V25, V2 == V7, V8 == V25, V7 == V12, V13 == V25, V12 == V18, V19 == V25, V18 == V24, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V20, V15 == V21, V16 == V22, V20 == V26, V21 == V0, V22 == V27; #675 ), references = 2, size of lhs = 13:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p6-{F}(V1,V4,V0), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V6,V7,V8), V8 == V7, P_f4-{F}(V9,V4), P_f3-{F}(V9,V4) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #710: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V8; #705 ), references = 1, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p2-{F}(V1,V1,V0), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_a-{F}(V4), P_b-{F}(V5), P_ifeq-{F}(V0,V0,V4,V5,V6), V6 == V5, P_f4-{F}(V7,V3), P_f3-{F}(V7,V3) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #724: mergings( V2 == V8, V3 == V9, V4 == V9, V5 == V10, V6 == V0, V7 == V11; #716 ), references = 1, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V1), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_p6-{F}(V1,V3,V0), P_p2-{F}(V1,V3,V4), P_a-{F}(V5), P_b-{F}(V6), P_ifeq-{F}(V0,V0,V5,V6,V7), V7 == V6 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #749: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V21, V16 == V0, V17 == V22; #732 ), references = 2, size of lhs = 15:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V6,V7,V8), V8 == V7, P_f4-{F}(V9,V4), P_f3-{F}(V9,V10), P_f3-{F}(V10,V11), P_f4-{F}(V11,V12), P_p6-{F}(V2,V12,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #765: mergings( V7 == V13, V2 == V8, V3 == V9, V8 == V14, V9 == V15, V4 == V10, V5 == V11, V6 == V12, V10 == V16, V11 == V0, V12 == V17; #753 ), references = 1, size of lhs = 13:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V6,V7,V8), V8 == V7, P_f4-{F}(V9,V4), P_f3-{F}(V9,V10), P_f3-{F}(V10,V2) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #794: mergings( V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V18, V13 == V19, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V20, V15 == V21, V16 == V22; #778 ), references = 1, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V6,V7,V8), V8 == V7, P_f4-{F}(V9,V4), P_f3-{F}(V9,V10), P_f3-{F}(V10,V11), P_p6-{F}(V2,V11,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #819: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V22, V16 == V0, V17 == V23; #802 ), references = 1, size of lhs = 15:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V8), P_ifeq-{F}(V0,V0,V7,V8,V9), V9 == V8, P_f4-{F}(V10,V5), P_f3-{F}(V10,V11), P_f3-{F}(V11,V12), P_p6-{F}(V3,V12,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #843: mergings( V17 == V23, V3 == V25, V2 == V7, V8 == V25, V7 == V12, V13 == V25, V12 == V18, V19 == V25, V18 == V24, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V20, V15 == V21, V16 == V22, V20 == V26, V21 == V27, V22 == V28; #821 ), references = 2, size of lhs = 13:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V6,V7,V8), V8 == V7, P_f4-{F}(V9,V4), P_f3-{F}(V9,V10), P_p6-{F}(V1,V10,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #853: mergings( V2 == V8, V8 == V10, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11; #845 ), references = 2, size of lhs = 11:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_a-{F}(V4), P_b-{F}(V5), P_ifeq-{F}(V0,V0,V4,V5,V6), V6 == V5, P_f4-{F}(V7,V3), P_f3-{F}(V7,V8), P_p6-{F}(V1,V8,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #866: mergings( V2 == V8, V3 == V9; #862 ), references = 1, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_p6-{F}(V1,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_f4-{F}(V3,V5), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V8), P_ifeq-{F}(V0,V0,V7,V8,V9), V9 == V8 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #871: mergings( V6 == V8, V2 == V9, V3 == V10, V7 == V11; #863 ), references = 1, size of lhs = 12:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V2,V0), P_f4-{F}(V1,V3), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_f4-{F}(V2,V5), P_p2-{F}(V3,V5,V6), P_a-{F}(V7), P_b-{F}(V8), P_ifeq-{F}(V0,V0,V7,V8,V9), V9 == V8 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #902: mergings( V2 == V7, V3 == V8, V7 == V13, V8 == V14, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17; #890 ), references = 1, size of lhs = 17:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f3-{F}(V6,V7), P_p2-{F}(V7,V8,V0), P_p5-{F}(V8,V8,V9), P_ifeq2-{F}(V0,V0,V9,V0,V10), P_ifeq2-{F}(V0,V0,V10,V0,V11), P_ifeq2-{F}(V0,V0,V11,V0,V12), V12 == V0, P_p2-{F}(V6,V13,V0), P_f4-{F}(V14,V13), P_f3-{F}(V14,V15), P_p2-{F}(V13,V15,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #920: mergings( V2 == V13, V13 == V19, V3 == V8, V4 == V9, V8 == V14, V9 == V15, V14 == V20, V15 == V21, V5 == V10, V6 == V11, V7 == V12, V10 == V16, V11 == V17, V12 == V18, V16 == V22, V17 == V23, V18 == V24; #891 ), references = 1, size of lhs = 16:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f3-{F}(V6,V7), P_f4-{F}(V6,V7), P_p2-{F}(V8,V7,V0), P_f3-{F}(V8,V9), P_p2-{F}(V9,V10,V0), P_p5-{F}(V10,V10,V11), P_ifeq2-{F}(V0,V0,V11,V0,V12), P_ifeq2-{F}(V0,V0,V12,V0,V13), P_ifeq2-{F}(V0,V0,V13,V0,V14), V14 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #959: mergings( V27 == V33, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V17, V13 == V18, V17 == V22, V18 == V23, V22 == V28, V23 == V29, V28 == V34, V29 == V35, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V19, V15 == V20, V16 == V21, V19 == V24, V20 == V25, V21 == V26, V24 == V30, V25 == V31, V26 == V32, V30 == V37, V31 == V38, V32 == V39; #927 ), references = 1, size of lhs = 18:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_f4-{F}(V3,V2), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V8), P_f3-{F}(V5,V9), P_p6-{F}(V3,V9,V0), P_ifeq-{F}(V0,V0,V7,V8,V10), V10 == V8, P_p2-{F}(V11,V9,V0), P_f3-{F}(V12,V11), P_p2-{F}(V12,V13,V0), P_f3-{F}(V14,V13), P_f4-{F}(V14,V13) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #999: mergings( V32 == V38, V3 == V40, V2 == V7, V8 == V40, V7 == V12, V13 == V40, V12 == V17, V18 == V40, V17 == V22, V23 == V40, V22 == V27, V28 == V40, V27 == V33, V34 == V40, V33 == V39, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V19, V15 == V20, V16 == V21, V19 == V24, V20 == V25, V21 == V26, V24 == V29, V25 == V30, V26 == V31, V29 == V35, V30 == V36, V31 == V37, V35 == V41, V36 == V0, V37 == V42; #962 ), references = 1, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p6-{F}(V1,V4,V0), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V6,V7,V8), V8 == V7, P_p2-{F}(V4,V9,V0), P_f3-{F}(V10,V9), P_f4-{F}(V10,V9) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1061: mergings( V22 == V33, V33 == V39, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V17, V13 == V18, V17 == V23, V18 == V24, V23 == V28, V24 == V29, V28 == V34, V29 == V35, V34 == V40, V35 == V41, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V19, V15 == V20, V16 == V21, V19 == V25, V20 == V26, V21 == V27, V25 == V30, V26 == V31, V27 == V32, V30 == V36, V31 == V37, V32 == V38, V36 == V42, V37 == V43, V38 == V44; #1021 ), references = 1, size of lhs = 21:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f3-{F}(V6,V7), P_f3-{F}(V7,V8), P_f4-{F}(V6,V9), P_f4-{F}(V8,V10), P_p2-{F}(V11,V9,V0), P_f3-{F}(V11,V12), P_p2-{F}(V12,V13,V0), P_p6-{F}(V14,V10,V0), P_f4-{F}(V15,V14), P_p2-{F}(V15,V16,V17), P_p6-{F}(V16,V13,V18), P_ifeq2-{F}(V0,V0,V18,V0,V19), P_ifeq2-{F}(V17,V0,V19,V0,V20), P_ifeq2-{F}(V0,V0,V20,V0,V21), V21 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1094: mergings( V17 == V28, V28 == V34, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V18, V13 == V19, V18 == V23, V19 == V24, V23 == V29, V24 == V30, V29 == V35, V30 == V36, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V20, V15 == V21, V16 == V22, V20 == V25, V21 == V26, V22 == V27, V25 == V31, V26 == V32, V27 == V33, V31 == V37, V32 == V38, V33 == V39; #1022 ), references = 1, size of lhs = 21:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f3-{F}(V6,V7), P_f3-{F}(V7,V8), P_f4-{F}(V6,V9), P_f4-{F}(V8,V10), P_p2-{F}(V11,V9,V0), P_f3-{F}(V11,V12), P_p2-{F}(V12,V13,V0), P_p6-{F}(V14,V10,V0), P_f4-{F}(V15,V14), P_p2-{F}(V15,V16,V17), P_p5-{F}(V16,V13,V18), P_ifeq2-{F}(V0,V0,V18,V0,V19), P_ifeq2-{F}(V0,V0,V19,V0,V20), P_ifeq2-{F}(V17,V0,V20,V0,V21), V21 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1106: mergings( V7 == V13, V2 == V8, V3 == V9, V8 == V14, V9 == V15, V4 == V10, V5 == V11, V6 == V12, V10 == V16, V11 == V17, V12 == V18; #1023 ), references = 1, size of lhs = 19:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_f3-{F}(V6,V7), P_p2-{F}(V7,V8,V0), P_p2-{F}(V6,V9,V0), P_f4-{F}(V10,V9), P_f3-{F}(V10,V11), P_p2-{F}(V12,V11,V0), P_f3-{F}(V12,V13), P_p2-{F}(V13,V14,V0), P_p5-{F}(V14,V8,V15), P_ifeq2-{F}(V0,V0,V15,V0,V16), P_ifeq2-{F}(V0,V0,V16,V0,V17), P_ifeq2-{F}(V0,V0,V17,V0,V18), V18 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1167: mergings( V37 == V43, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V17, V13 == V18, V17 == V22, V18 == V23, V22 == V27, V23 == V28, V27 == V32, V28 == V33, V32 == V38, V33 == V39, V38 == V44, V39 == V45, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V19, V15 == V20, V16 == V21, V19 == V24, V20 == V25, V21 == V26, V24 == V29, V25 == V30, V26 == V31, V29 == V34, V30 == V35, V31 == V36, V34 == V40, V35 == V41, V36 == V42, V40 == V47, V41 == V48, V42 == V49; #1125 ), references = 1, size of lhs = 20:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_p6-{F}(V2,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V8), P_f3-{F}(V5,V9), P_ifeq-{F}(V0,V0,V7,V8,V10), V10 == V8, P_p6-{F}(V3,V11,V0), P_f4-{F}(V12,V11), P_f3-{F}(V13,V12), P_f3-{F}(V14,V13), P_f4-{F}(V14,V15), P_p2-{F}(V16,V15,V0), P_f3-{F}(V16,V17), P_p2-{F}(V17,V9,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1211: mergings( V37 == V43, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V17, V13 == V18, V17 == V22, V18 == V23, V22 == V27, V23 == V28, V27 == V32, V28 == V33, V32 == V38, V33 == V39, V38 == V44, V39 == V45, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V19, V15 == V20, V16 == V21, V19 == V24, V20 == V25, V21 == V26, V24 == V29, V25 == V30, V26 == V31, V29 == V34, V30 == V35, V31 == V36, V34 == V40, V35 == V41, V36 == V42, V40 == V47, V41 == V0, V42 == V48; #1169 ), references = 1, size of lhs = 17:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_p6-{F}(V2,V3,V0), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V2,V5,V6), P_a-{F}(V7), P_b-{F}(V8), P_ifeq-{F}(V0,V0,V7,V8,V9), V9 == V8, P_p6-{F}(V3,V10,V0), P_f4-{F}(V11,V10), P_f3-{F}(V12,V11), P_f3-{F}(V13,V12), P_f4-{F}(V13,V14), P_p2-{F}(V5,V14,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1255: mergings( V12 == V18, V2 == V7, V3 == V8, V7 == V13, V8 == V14, V13 == V19, V14 == V20, V4 == V9, V5 == V10, V6 == V11, V9 == V15, V10 == V16, V11 == V17, V15 == V21, V16 == V22, V17 == V23; #1238 ), references = 1, size of lhs = 17:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V1,V6,V0), P_f3-{F}(V7,V6), P_f4-{F}(V7,V8), P_f3-{F}(V8,V9), P_p2-{F}(V1,V10,V11), P_p2-{F}(V9,V12,V13), P_p5-{F}(V10,V12,V14), P_ifeq2-{F}(V0,V0,V14,V0,V15), P_ifeq2-{F}(V13,V0,V15,V0,V16), P_ifeq2-{F}(V11,V0,V16,V0,V17), V17 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1286: mergings( V7 == V23, V23 == V29, V2 == V8, V3 == V9, V8 == V13, V9 == V14, V13 == V18, V14 == V19, V18 == V24, V19 == V25, V24 == V30, V25 == V31, V4 == V10, V5 == V11, V6 == V12, V10 == V15, V11 == V16, V12 == V17, V15 == V20, V16 == V21, V17 == V22, V20 == V26, V21 == V27, V22 == V28, V26 == V32, V27 == V33, V28 == V34; #1258 ), references = 1, size of lhs = 18:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_p6-{F}(V1,V6,V0), P_f3-{F}(V7,V6), P_f4-{F}(V7,V8), P_p2-{F}(V9,V8,V0), P_f3-{F}(V9,V10), P_p2-{F}(V10,V11,V0), P_p2-{F}(V1,V12,V13), P_p5-{F}(V12,V11,V14), P_ifeq2-{F}(V0,V0,V14,V0,V15), P_ifeq2-{F}(V0,V0,V15,V0,V16), P_ifeq2-{F}(V13,V0,V16,V0,V17), V17 == V0 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1339: mergings( V22 == V28, V3 == V30, V2 == V7, V8 == V30, V7 == V12, V13 == V30, V12 == V17, V18 == V30, V17 == V23, V24 == V30, V23 == V29, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V19, V15 == V20, V16 == V21, V19 == V25, V20 == V26, V21 == V27, V25 == V31, V26 == V32, V27 == V33; #1311 ), references = 1, size of lhs = 16:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_f3-{F}(V4,V8), P_ifeq-{F}(V0,V0,V6,V7,V9), V9 == V7, P_p6-{F}(V1,V10,V0), P_f3-{F}(V11,V10), P_f4-{F}(V11,V12), P_f3-{F}(V12,V13), P_p6-{F}(V13,V8,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1387: mergings( V37 == V43, V18 == V45, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V17, V13 == V45, V17 == V22, V23 == V45, V22 == V27, V28 == V45, V27 == V32, V33 == V45, V32 == V38, V39 == V45, V38 == V44, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V19, V15 == V20, V16 == V21, V19 == V24, V20 == V25, V21 == V26, V24 == V29, V25 == V30, V26 == V31, V29 == V34, V30 == V35, V31 == V36, V34 == V40, V35 == V41, V36 == V42, V40 == V46, V41 == V47, V42 == V48; #1345 ), references = 1, size of lhs = 17:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_f3-{F}(V4,V8), P_ifeq-{F}(V0,V0,V6,V7,V9), V9 == V7, P_p2-{F}(V10,V8,V0), P_f3-{F}(V11,V10), P_p2-{F}(V11,V12,V0), P_f4-{F}(V13,V12), P_f3-{F}(V13,V14), P_p6-{F}(V1,V14,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1431: mergings( V37 == V43, V18 == V45, V2 == V7, V3 == V8, V7 == V12, V8 == V13, V12 == V17, V13 == V45, V17 == V22, V23 == V45, V22 == V27, V28 == V45, V27 == V32, V33 == V45, V32 == V38, V39 == V45, V38 == V44, V4 == V9, V5 == V10, V6 == V11, V9 == V14, V10 == V15, V11 == V16, V14 == V19, V15 == V20, V16 == V21, V19 == V24, V20 == V25, V21 == V26, V24 == V29, V25 == V30, V26 == V31, V29 == V34, V30 == V35, V31 == V36, V34 == V40, V35 == V41, V36 == V42, V40 == V46, V41 == V0, V42 == V47; #1389 ), references = 1, size of lhs = 14:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_f4-{F}(V1,V2), P_c8-{F}(V3), P_f4-{F}(V3,V4), P_p2-{F}(V2,V4,V5), P_a-{F}(V6), P_b-{F}(V7), P_ifeq-{F}(V0,V0,V6,V7,V8), V8 == V7, P_p2-{F}(V4,V9,V0), P_f4-{F}(V10,V9), P_f3-{F}(V10,V11), P_p6-{F}(V1,V11,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1479: mergings( V41 == V47, V20 == V22, V22 == V49, V4 == V9, V5 == V10, V9 == V14, V10 == V15, V14 == V19, V15 == V49, V19 == V26, V27 == V49, V26 == V31, V32 == V49, V31 == V36, V37 == V49, V36 == V42, V43 == V49, V42 == V48, V2 == V6, V3 == V7, V8 == V21, V6 == V11, V7 == V12, V13 == V21, V11 == V16, V12 == V17, V18 == V21, V16 == V23, V17 == V24, V21 == V25, V23 == V28, V24 == V29, V25 == V30, V28 == V33, V29 == V34, V30 == V35, V33 == V38, V34 == V39, V35 == V40, V38 == V44, V39 == V45, V40 == V46, V44 == V50, V45 == V51, V46 == V52; #1433 ), references = 1, size of lhs = 13:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V2,V0), P_f4-{F}(V1,V3), P_c8-{F}(V4), P_f4-{F}(V4,V5), P_p2-{F}(V3,V5,V6), P_a-{F}(V7), P_b-{F}(V8), P_ifeq-{F}(V0,V0,V7,V8,V9), V9 == V8, P_f4-{F}(V2,V10), P_p2-{F}(V5,V10,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1496: mergings( V13 == V15, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V16; #1483 ), references = 1, size of lhs = 9:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_c8-{F}(V2), P_f4-{F}(V2,V3), P_a-{F}(V4), P_b-{F}(V5), P_ifeq-{F}(V0,V0,V4,V5,V6), V6 == V5 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1499: mergings( V2 == V3; #1497 ), references = 1, size of lhs = 8:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_c8-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_ifeq-{F}(V0,V0,V3,V4,V5), V5 == V4 | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1502: exists( #31, #1500 ), references = 2, size of lhs = 5:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_c8-{F}(V2), P_a-{F}(V3) | P_b-{T}(V3)
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1514: mergings( V1 == V4, V2 == V5, V3 == V6; #1509 ), references = 1, size of lhs = 5:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_p2-{F}(V1,V1,V0), P_c8-{F}(V2) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1519: mergings( V1 == V3, V2 == V4; #1515 ), references = 2, size of lhs = 4:
% 98.15/98.36     P_true-{F}(V0), P_c7-{F}(V1), P_p6-{F}(V1,V1,V0), P_p2-{F}(V1,V1,V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1523: exists( #26, #1521 ), references = 1, size of lhs = 1:
% 98.15/98.36     P_true-{F}(V0) | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  #1525: exists( #23, #1522 ), references = 1, size of lhs = 0:
% 98.15/98.36     FALSE | FALSE
% 98.15/98.36        (used 0 times, uses = {})
% 98.15/98.36  
% 98.15/98.36  number of learnt formulas = 89
% 98.15/98.36  
% 98.15/98.36  
% 98.15/98.36  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 98.15/98.36  
% 98.15/98.36  randbase = 1
%------------------------------------------------------------------------------