TSTP Solution File: LDA007-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n011.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 06:10:22 EDT 2022

% Result   : Unsatisfiable 36.80s 36.98s
% Output   : Refutation 36.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 07:24:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 36.80/36.98  GeoParameters:
% 36.80/36.98  
% 36.80/36.98  tptp_input =     1
% 36.80/36.98  tptp_output =    0
% 36.80/36.98  nonempty =       1
% 36.80/36.98  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.80/36.98  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 36.80/36.98  
% 36.80/36.98  
% 36.80/36.98  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.80/36.98  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.80/36.98  
% 36.80/36.98  RuleSystem INPUT:
% 36.80/36.98  
% 36.80/36.98  Initial Rules:
% 36.80/36.98  #0: input, references = 5, size of lhs = 6:
% 36.80/36.98     P_f-{F}(V1,V2,V3), P_f-{F}(V0,V3,V4), P_f-{F}(V0,V1,V5), P_f-{F}(V0,V2,V6), P_f-{F}(V5,V6,V7), V4 == V7 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1: input, references = 7, size of lhs = 6:
% 36.80/36.98     P_a-{F}(V1,V2,V3), P_a-{F}(V0,V3,V4), P_f-{F}(V0,V1,V5), P_a-{F}(V0,V2,V6), P_a-{F}(V5,V6,V7), V4 == V7 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #2: input, references = 6, size of lhs = 5:
% 36.80/36.98     P_f-{F}(V0,V1,V2), P_critical_point-{F}(V2,V3), P_critical_point-{F}(V1,V4), P_a-{F}(V0,V4,V5), V3 == V5 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #3: input, references = 19, size of lhs = 1:
% 36.80/36.98     less-{F}(V0,V0) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #4: input, references = 8, size of lhs = 3:
% 36.80/36.98     #-{F} V0, #-{F} V1, V0 == V1 | less-{T}(V0,V1), less-{T}(V1,V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #5: input, references = 11, size of lhs = 2:
% 36.80/36.98     less-{F}(V0,V1), less-{F}(V2,V0) | less-{T}(V2,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #6: input, references = 13, size of lhs = 3:
% 36.80/36.98     less-{F}(V0,V1), P_a-{F}(V2,V0,V3), P_a-{F}(V2,V1,V4) | less-{T}(V3,V4)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #7: input, references = 8, size of lhs = 4:
% 36.80/36.98     P_critical_point-{F}(V1,V2), P_a-{F}(V1,V0,V3), less-{F}(V0,V2), V3 == V0 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #8: input, references = 5, size of lhs = 2:
% 36.80/36.98     P_critical_point-{F}(V1,V2), P_a-{F}(V1,V0,V3) | less-{T}(V0,V2), less-{T}(V0,V3)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #9: input, references = 5, size of lhs = 4:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), V0 == V2 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #10: input, references = 5, size of lhs = 7:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), V3 == V5 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #11: input, references = 7, size of lhs = 9:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), V6 == V7 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #12: input, references = 5, size of lhs = 11:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), V8 == V9 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #13: input, references = 5, size of lhs = 13:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), V10 == V11 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #14: input, references = 6, size of lhs = 15:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), V12 == V13 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #15: input, references = 5, size of lhs = 17:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), V14 == V15 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #16: input, references = 5, size of lhs = 19:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16), P_f-{F}(V3,V10,V17), V16 == V17 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #17: input, references = 4, size of lhs = 21:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16), P_f-{F}(V3,V10,V17), P_tsk-{F}(V18), P_f-{F}(V6,V10,V19), V18 == V19 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #18: input, references = 4, size of lhs = 23:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16), P_f-{F}(V3,V10,V17), P_tsk-{F}(V18), P_f-{F}(V6,V10,V19), P_ttk-{F}(V20), P_f-{F}(V0,V10,V21), V20 == V21 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #19: input, references = 4, size of lhs = 24:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16), P_f-{F}(V3,V10,V17), P_tsk-{F}(V18), P_f-{F}(V6,V10,V19), P_ttk-{F}(V20), P_f-{F}(V0,V10,V21), P_f-{F}(V1,V18,V23), P_f-{F}(V8,V14,V23) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #20: input, references = 24, size of lhs = 2:
% 36.80/36.98     #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #21: input, references = 20, size of lhs = 2:
% 36.80/36.98     #-{F} V0, #-{F} V1 | EXISTS V2: P_a-{T}(V0,V1,V2)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #22: input, references = 18, size of lhs = 1:
% 36.80/36.98     #-{F} V0 | EXISTS V1: P_critical_point-{T}(V0,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #23: input, references = 4, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_tt-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #24: input, references = 4, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_t-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #25: input, references = 4, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_st-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #26: input, references = 4, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_s-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #27: input, references = 7, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_ts-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #28: input, references = 6, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_tt_ts-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #29: input, references = 6, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_k-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #30: input, references = 9, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_sk-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #31: input, references = 5, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_tk-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #32: input, references = 6, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_stk-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #33: input, references = 4, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_tsk-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #34: input, references = 5, size of lhs = 0:
% 36.80/36.98     FALSE | EXISTS V0: P_ttk-{T}(V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  number of initial rules = 35
% 36.80/36.98  
% 36.80/36.98  Simplifiers:
% 36.80/36.98  #35: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #36: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_a-{F}(V0,V1,V2), P_a-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #37: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V0,V3), V1 == V3 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #38: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_tt-{F}(V0), P_tt-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #39: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_t-{F}(V0), P_t-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #40: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_st-{F}(V0), P_st-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #41: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_s-{F}(V0), P_s-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #42: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_ts-{F}(V0), P_ts-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #43: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_tt_ts-{F}(V0), P_tt_ts-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #44: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_k-{F}(V0), P_k-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #45: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_sk-{F}(V0), P_sk-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #46: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_tk-{F}(V0), P_tk-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #47: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_stk-{F}(V0), P_stk-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #48: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_tsk-{F}(V0), P_tsk-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #49: unsound, references = 3, size of lhs = 3:
% 36.80/36.98     P_ttk-{F}(V0), P_ttk-{F}(V1), V0 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  number of simplifiers = 15
% 36.80/36.98  
% 36.80/36.98  Learnt:
% 36.80/36.98  #51: exists( #20, #11 ), references = 1, size of lhs = 5:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_s-{F}(V1), P_st-{F}(V2), P_ts-{F}(V3) | P_f-{T}(V1,V1,V3)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #57: mergings( V1 == V4; #54 ), references = 1, size of lhs = 4:
% 36.80/36.98     P_s-{F}(V0), P_t-{F}(V0), P_st-{F}(V1), P_tt-{F}(V2) | P_ts-{T}(V2)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #60: mergings( V1 == V3, V2 == V5; #55 ), references = 1, size of lhs = 4:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_s-{F}(V1), P_st-{F}(V2) | P_ts-{T}(V2)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #62: exists( #21, #2 ), references = 23, size of lhs = 3:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_f-{F}(V2,V0,V3), P_critical_point-{F}(V3,V4) | P_a-{T}(V2,V1,V4)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #66: exists( #22, #13 ), references = 3, size of lhs = 11:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10) | P_critical_point-{T}(V1,V10)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #68: exists( #34, #19 ), references = 3, size of lhs = 23:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16), P_f-{F}(V3,V10,V17), P_tsk-{F}(V18), P_f-{F}(V6,V10,V19), P_f-{F}(V0,V10,V20), P_f-{F}(V1,V18,V21), P_f-{F}(V8,V14,V21) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #70: exists( #33, #17 ), references = 1, size of lhs = 19:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16), P_f-{F}(V3,V10,V17), P_f-{F}(V6,V10,V18) | P_tsk-{T}(V18)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #91: mergings( V1 == V19, V2 == V20, V3 == V21, V12 == V30, V4 == V22, V5 == V23, V6 == V24, V8 == V26, V7 == V25, V10 == V28, V9 == V27, V11 == V29, V14 == V32, V16 == V34, V17 == V35, V18 == V36, V13 == V31, V15 == V33; #72 ), references = 3, size of lhs = 21:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_f-{F}(V3,V10,V16), P_f-{F}(V6,V10,V17), P_f-{F}(V0,V10,V18), P_f-{F}(V1,V17,V19), P_f-{F}(V8,V14,V19) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #93: exists( #31, #15 ), references = 1, size of lhs = 15:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_f-{F}(V1,V10,V14) | P_tk-{T}(V14)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #110: mergings( V1 == V15, V2 == V16, V3 == V17, V12 == V26, V4 == V18, V5 == V19, V6 == V20, V8 == V22, V7 == V21, V10 == V24, V9 == V23, V11 == V25, V13 == V27, V14 == V28; #95 ), references = 2, size of lhs = 19:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_f-{F}(V4,V10,V12), P_f-{F}(V1,V10,V13), P_f-{F}(V3,V10,V14), P_f-{F}(V6,V10,V15), P_f-{F}(V0,V10,V16), P_f-{F}(V1,V15,V17), P_f-{F}(V8,V13,V17) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #113: exists( #20, #0 ), references = 13, size of lhs = 4:
% 36.80/36.98     P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V3,V1,V5), P_f-{F}(V4,V5,V6) | P_f-{T}(V3,V2,V6)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #118: exists( #21, #1 ), references = 15, size of lhs = 4:
% 36.80/36.98     P_a-{F}(V0,V1,V2), P_a-{F}(V3,V2,V4), P_f-{F}(V3,V0,V5), P_a-{F}(V3,V1,V6) | P_a-{T}(V5,V6,V4)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #120: exists( #21, #7 ), references = 8, size of lhs = 2:
% 36.80/36.98     P_critical_point-{F}(V0,V1), less-{F}(V2,V1) | P_a-{T}(V0,V2,V2)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #125: mergings( V4 == V6, V6 == V8; #121 ), references = 1, size of lhs = 12:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_s-{F}(V1), P_st-{F}(V2), P_ts-{F}(V3), P_f-{F}(V1,V1,V4), P_tt_ts-{F}(V5), P_f-{F}(V0,V3,V6), P_k-{F}(V7), P_critical_point-{F}(V1,V8), P_sk-{F}(V9), P_tk-{F}(V10) | P_f-{T}(V1,V7,V10)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #143: mergings( V3 == V5, V5 == V7, V1 == V12, V2 == V13, V7 == V14, V14 == V16, V16 == V18, V10 == V22, V4 == V15, V6 == V17, V9 == V20, V8 == V19, V11 == V23; #129 ), references = 1, size of lhs = 11:
% 36.80/36.98     P_s-{F}(V0), P_t-{F}(V0), P_tt-{F}(V1), P_st-{F}(V2), P_ts-{F}(V3), P_f-{F}(V0,V0,V4), P_tt_ts-{F}(V5), P_f-{F}(V1,V3,V6), P_k-{F}(V7), P_critical_point-{F}(V0,V8), P_sk-{F}(V9) | P_tk-{T}(V9)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #153: exists( #32, #16 ), references = 1, size of lhs = 17:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_f-{F}(V3,V10,V16) | P_stk-{T}(V16)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #155: exists( #34, #18 ), references = 1, size of lhs = 21:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16), P_f-{F}(V3,V10,V17), P_tsk-{F}(V18), P_f-{F}(V6,V10,V19), P_f-{F}(V0,V10,V20) | P_ttk-{T}(V20)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #159: disj( #4, #6+#5+#3 ), references = 1, size of lhs = 3:
% 36.80/36.98     P_a-{F}(V0,V1,V2), V1 == V2, P_a-{F}(V0,V2,V1) | less-{T}(V2,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #164: exists( #22, #2 ), references = 13, size of lhs = 3:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_f-{F}(V2,V0,V3), P_a-{F}(V2,V1,V4) | P_critical_point-{T}(V3,V4)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #167: disj( #4, #6+#3 ), references = 4, size of lhs = 3:
% 36.80/36.98     P_a-{F}(V0,V1,V2), P_a-{F}(V0,V3,V2), V1 == V3 | less-{T}(V3,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #179: disj( #4, input ), references = 7, size of lhs = 4:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V0,V2,V3), V2 == V1, V3 == V2 | less-{T}(V1,V2)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #190: disj( #8, input ), references = 7, size of lhs = 2:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V0,V1,V2) | less-{T}(V1,V2)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #196: mergings( V2 == V3; #194 ), references = 1, size of lhs = 10:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V1), P_st-{F}(V2), P_s-{F}(V3), P_f-{F}(V3,V1,V4), P_ts-{F}(V5), P_f-{F}(V1,V3,V6), P_tt_ts-{F}(V7), P_f-{F}(V0,V5,V8) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #199: mergings( V2 == V3; #197 ), references = 1, size of lhs = 9:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V1), P_st-{F}(V2), P_s-{F}(V3), P_f-{F}(V3,V1,V4), P_ts-{F}(V5), P_f-{F}(V1,V3,V6), P_f-{F}(V0,V5,V7) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #219: exists( #21, #216 ), references = 1, size of lhs = 6:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_f-{F}(V0,V2,V3), P_f-{F}(V0,V4,V3), P_critical_point-{F}(V4,V5), V5 == V1 | P_a-{T}(V0,V5,V5)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #228: exists( #20, #9 ), references = 2, size of lhs = 2:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1) | P_f-{T}(V1,V1,V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #230: exists( #27, #11 ), references = 1, size of lhs = 7:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_f-{F}(V1,V4,V6) | P_ts-{T}(V6)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #235: exists( #22, #233 ), references = 1, size of lhs = 1:
% 36.80/36.98     P_f-{F}(V0,V0,V0) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #249: exists( #20, #10 ), references = 2, size of lhs = 5:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4) | P_f-{T}(V4,V1,V3)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #258: exists( #20, #254 ), references = 2, size of lhs = 13:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V7,V8,V4), P_f-{F}(V1,V7,V9), P_f-{F}(V1,V8,V10), P_f-{F}(V11,V12,V10), P_f-{F}(V9,V11,V13), P_f-{F}(V9,V12,V14) | P_f-{T}(V13,V14,V6)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #282: exists( #21, #278 ), references = 1, size of lhs = 7:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_critical_point-{F}(V3,V4), V4 == V1, P_f-{F}(V0,V3,V5), P_f-{F}(V6,V2,V5), P_critical_point-{F}(V6,V4) | P_a-{T}(V0,V4,V1), P_a-{T}(V0,V4,V4)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #283: exists( #21, #279 ), references = 1, size of lhs = 7:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_critical_point-{F}(V3,V4), V4 == V1, P_f-{F}(V0,V3,V5), P_f-{F}(V6,V2,V5), P_critical_point-{F}(V6,V4) | P_a-{T}(V0,V4,V1), P_a-{T}(V0,V4,V4)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #285: exists( #21, #1 ), references = 14, size of lhs = 4:
% 36.80/36.98     P_a-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_a-{F}(V3,V1,V5), P_a-{F}(V4,V5,V6) | P_a-{T}(V3,V2,V6)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #292: disj( #280, #164+#118+#62+#284+#190+#3 ), references = 1, size of lhs = 14:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_f-{F}(V0,V0,V3), P_f-{F}(V4,V4,V3), P_critical_point-{F}(V4,V5), V5 == V1, P_critical_point-{F}(V6,V5), P_f-{F}(V0,V6,V7), P_f-{F}(V8,V2,V7), P_critical_point-{F}(V8,V5), P_critical_point-{F}(V9,V5), P_f-{F}(V0,V9,V10), P_f-{F}(V4,V11,V10), P_critical_point-{F}(V11,V12) | P_a-{T}(V0,V5,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #321: exists( #20, #315 ), references = 3, size of lhs = 12:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V9,V10,V6), P_f-{F}(V0,V9,V11), P_f-{F}(V0,V10,V12) | P_f-{T}(V11,V12,V8)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #327: exists( #30, #14 ), references = 1, size of lhs = 13:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_f-{F}(V4,V10,V12) | P_sk-{T}(V12)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #335: exists( #22, #333 ), references = 1, size of lhs = 5:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_f-{F}(V2,V0,V3), P_a-{F}(V3,V1,V4), V4 == V1 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #338: exists( #22, #336 ), references = 2, size of lhs = 5:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_critical_point-{F}(V3,V1), P_f-{F}(V3,V2,V4), P_f-{F}(V4,V0,V5) | P_critical_point-{T}(V5,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #344: mergings( V2 == V3; #342 ), references = 2, size of lhs = 2:
% 36.80/36.98     P_f-{F}(V0,V0,V1), P_f-{F}(V1,V0,V1) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #359: exists( #21, #357 ), references = 3, size of lhs = 4:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V2,V1,V1), P_f-{F}(V3,V0,V4), P_f-{F}(V3,V2,V4) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #377: exists( #20, #0 ), references = 13, size of lhs = 4:
% 36.80/36.98     P_f-{F}(V0,V1,V2), P_f-{F}(V3,V2,V4), P_f-{F}(V3,V0,V5), P_f-{F}(V3,V1,V6) | P_f-{T}(V5,V6,V4)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #385: exists( #20, #359 ), references = 1, size of lhs = 2:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V0,V1,V1) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #393: exists( #22, #391 ), references = 2, size of lhs = 10:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V3), P_critical_point-{F}(V4,V3), P_f-{F}(V4,V2,V5), P_f-{F}(V6,V0,V5), P_f-{F}(V7,V8,V6), P_a-{F}(V7,V9,V1), P_a-{F}(V8,V9,V10), less-{F}(V10,V11), P_a-{F}(V7,V11,V3) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #408: disj( #8, input ), references = 7, size of lhs = 5:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V0,V3,V4), P_a-{F}(V2,V3,V5), V5 == V3 | less-{T}(V3,V4)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #411: exists( #21, #409 ), references = 2, size of lhs = 5:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V0,V3,V3), P_a-{F}(V2,V3,V4), V4 == V3 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #413: exists( #21, #410 ), references = 6, size of lhs = 3:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V0,V3,V3) | P_a-{T}(V2,V3,V3)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #444: disj( #4, #6+#5+#3 ), references = 5, size of lhs = 4:
% 36.80/36.98     less-{F}(V0,V1), P_a-{F}(V2,V3,V1), P_a-{F}(V2,V4,V0), V4 == V3 | less-{T}(V4,V3)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #460: exists( #20, #454 ), references = 3, size of lhs = 26:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_f-{F}(V4,V10,V12), P_f-{F}(V1,V10,V13), P_f-{F}(V3,V10,V14), P_f-{F}(V6,V10,V15), P_f-{F}(V0,V10,V16), P_f-{F}(V17,V18,V15), P_f-{F}(V1,V17,V19), P_f-{F}(V1,V18,V20), P_f-{F}(V21,V22,V19), P_f-{F}(V21,V23,V20), P_f-{F}(V22,V23,V24), P_f-{F}(V21,V25,V8), P_f-{F}(V21,V26,V13), P_f-{F}(V25,V26,V24) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #461: exists( #20, #455 ), references = 2, size of lhs = 28:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_f-{F}(V3,V10,V16), P_f-{F}(V6,V10,V17), P_f-{F}(V0,V10,V18), P_f-{F}(V19,V20,V17), P_f-{F}(V1,V19,V21), P_f-{F}(V1,V20,V22), P_f-{F}(V23,V24,V21), P_f-{F}(V23,V25,V22), P_f-{F}(V24,V25,V26), P_f-{F}(V23,V27,V8), P_f-{F}(V23,V28,V14), P_f-{F}(V27,V28,V26) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #462: exists( #20, #456 ), references = 1, size of lhs = 30:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16), P_f-{F}(V3,V10,V17), P_tsk-{F}(V18), P_f-{F}(V6,V10,V19), P_f-{F}(V0,V10,V20), P_f-{F}(V21,V22,V18), P_f-{F}(V1,V21,V23), P_f-{F}(V1,V22,V24), P_f-{F}(V25,V26,V23), P_f-{F}(V25,V27,V24), P_f-{F}(V26,V27,V28), P_f-{F}(V25,V29,V8), P_f-{F}(V25,V30,V14), P_f-{F}(V29,V30,V28) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #473: exists( #20, #14 ), references = 6, size of lhs = 13:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12) | P_f-{T}(V4,V10,V12)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #482: exists( #20, #460 ), references = 2, size of lhs = 22:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_f-{F}(V4,V10,V12), P_f-{F}(V3,V10,V13), P_f-{F}(V6,V10,V14), P_f-{F}(V0,V10,V15), P_f-{F}(V16,V10,V14), P_f-{F}(V1,V16,V17), P_f-{F}(V1,V18,V17), P_f-{F}(V18,V10,V19), P_f-{F}(V1,V20,V8), P_f-{F}(V20,V10,V19) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #497: mergings( V18 == V23, V1 == V9, V2 == V12, V3 == V13, V10 == V15, V11 == V17, V8 == V21, V4 == V14, V5 == V16, V7 == V19, V6 == V23; #485 ), references = 2, size of lhs = 17:
% 36.80/36.98     P_tt-{F}(V0), P_s-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_f-{F}(V0,V1,V4), P_ts-{F}(V5), P_f-{F}(V1,V0,V6), P_tt_ts-{F}(V7), P_f-{F}(V1,V5,V7), P_f-{F}(V0,V5,V8), P_k-{F}(V9), P_critical_point-{F}(V1,V10), P_f-{F}(V3,V9,V11), P_f-{F}(V0,V12,V5), P_f-{F}(V0,V13,V9), P_f-{F}(V12,V13,V9) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #512: exists( #20, #16 ), references = 4, size of lhs = 17:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V15), P_stk-{F}(V16) | P_f-{T}(V3,V10,V16)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #561: mergings( V10 == V16; #557 ), references = 3, size of lhs = 16:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V1,V6,V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_f-{F}(V4,V10,V12), P_f-{F}(V3,V10,V13), P_f-{F}(V0,V10,V14) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #564: mergings( V14 == V18, V17 == V10; #558 ), references = 1, size of lhs = 19:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V1,V6,V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_f-{F}(V4,V10,V12), P_f-{F}(V3,V10,V13), P_f-{F}(V0,V10,V14), P_f-{F}(V1,V10,V15), P_f-{F}(V16,V6,V8), P_f-{F}(V16,V10,V15) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #568: mergings( V16 == V20, V19 == V10, V20 == V15; #559 ), references = 1, size of lhs = 21:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V1,V6,V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V14), P_f-{F}(V3,V10,V15), P_f-{F}(V0,V10,V16), P_f-{F}(V17,V6,V8), P_f-{F}(V17,V10,V14) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #587: mergings( V21 == V29, V1 == V13, V2 == V14, V3 == V15, V10 == V26, V4 == V17, V5 == V18, V7 == V20, V24 == V27, V6 == V19, V9 == V22, V8 == V29; #572 ), references = 2, size of lhs = 18:
% 36.80/36.98     P_sk-{F}(V0), P_tk-{F}(V1), P_tt-{F}(V2), P_t-{F}(V3), P_f-{F}(V3,V3,V4), P_st-{F}(V5), P_s-{F}(V6), P_f-{F}(V6,V3,V7), P_ts-{F}(V8), P_f-{F}(V3,V6,V9), P_tt_ts-{F}(V10), P_f-{F}(V3,V8,V10), P_f-{F}(V2,V8,V11), P_k-{F}(V12), P_f-{F}(V3,V12,V13), P_critical_point-{F}(V3,V14), P_f-{F}(V6,V12,V15), P_f-{F}(V2,V12,V16) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #602: mergings( V28 == V31, V30 == V21, V1 == V13, V2 == V14, V3 == V15, V25 == V31, V10 == V26, V4 == V17, V5 == V18, V7 == V20, V24 == V27, V6 == V19, V9 == V22, V8 == V21; #573 ), references = 2, size of lhs = 20:
% 36.80/36.98     P_sk-{F}(V0), P_tk-{F}(V1), P_tt-{F}(V2), P_t-{F}(V3), P_f-{F}(V3,V3,V4), P_st-{F}(V5), P_s-{F}(V6), P_f-{F}(V6,V3,V7), P_ts-{F}(V8), P_f-{F}(V3,V6,V9), P_tt_ts-{F}(V10), P_f-{F}(V3,V8,V10), P_f-{F}(V2,V8,V11), P_k-{F}(V12), P_critical_point-{F}(V3,V13), P_f-{F}(V6,V12,V14), P_f-{F}(V2,V12,V15), P_f-{F}(V3,V12,V16), P_f-{F}(V17,V8,V10), P_f-{F}(V17,V12,V16) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #620: mergings( V30 == V33, V32 == V21, V33 == V29, V1 == V13, V2 == V14, V3 == V15, V25 == V29, V10 == V26, V4 == V17, V5 == V18, V7 == V20, V24 == V28, V6 == V19, V9 == V22, V8 == V21, V11 == V27, V12 == V29; #574 ), references = 1, size of lhs = 20:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V1,V6,V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_sk-{F}(V12), P_f-{F}(V4,V10,V13), P_tk-{F}(V14), P_f-{F}(V1,V10,V14), P_f-{F}(V0,V10,V15), P_f-{F}(V16,V6,V8), P_f-{F}(V16,V10,V14) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #651: mergings( V1 == V9, V2 == V12, V3 == V13, V10 == V15, V11 == V17, V8 == V21, V4 == V14, V5 == V16, V7 == V19, V6 == V18; #639 ), references = 1, size of lhs = 19:
% 36.80/36.98     P_tt-{F}(V0), P_s-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_f-{F}(V0,V1,V4), P_ts-{F}(V5), P_f-{F}(V1,V0,V6), P_tt_ts-{F}(V7), P_f-{F}(V1,V5,V7), P_f-{F}(V0,V5,V8), P_k-{F}(V9), P_critical_point-{F}(V1,V10), P_f-{F}(V11,V12,V9), P_f-{F}(V3,V11,V13), P_f-{F}(V3,V12,V14), P_f-{F}(V0,V15,V13), P_f-{F}(V0,V16,V14), P_f-{F}(V15,V16,V9) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #664: mergings( V1 == V13, V2 == V14, V3 == V15, V12 == V23, V4 == V16, V5 == V13, V6 == V17, V8 == V19, V7 == V18, V10 == V21, V9 == V20, V11 == V22; #640 ), references = 1, size of lhs = 22:
% 36.80/36.98     P_tt-{F}(V0), P_s-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_f-{F}(V0,V1,V4), P_ts-{F}(V5), P_f-{F}(V1,V0,V6), P_tt_ts-{F}(V7), P_f-{F}(V1,V5,V7), P_f-{F}(V0,V5,V8), P_k-{F}(V9), P_critical_point-{F}(V1,V10), P_f-{F}(V0,V11,V5), P_f-{F}(V0,V12,V9), P_f-{F}(V11,V12,V9), P_f-{F}(V13,V14,V9), P_f-{F}(V3,V13,V15), P_f-{F}(V3,V14,V16), P_f-{F}(V0,V17,V15), P_f-{F}(V0,V18,V16), P_f-{F}(V17,V18,V9) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #735: exists( #21, #733 ), references = 8, size of lhs = 4:
% 36.80/36.98     P_a-{F}(V0,V1,V2), P_a-{F}(V3,V2,V4), P_f-{F}(V3,V0,V5), P_a-{F}(V5,V6,V4) | P_a-{T}(V3,V1,V6)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #752: mergings( V3 == V7; #750 ), references = 2, size of lhs = 10:
% 36.80/36.98     P_f-{F}(V0,V0,V1), P_f-{F}(V1,V0,V2), P_a-{F}(V1,V3,V4), P_a-{F}(V2,V4,V5), P_a-{F}(V1,V6,V5), P_a-{F}(V7,V3,V8), P_a-{F}(V0,V8,V9), P_f-{F}(V0,V7,V10), P_a-{F}(V10,V6,V11), V9 == V11 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #775: mergings( V3 == V16, V5 == V15; #771 ), references = 1, size of lhs = 14:
% 36.80/36.98     P_f-{F}(V0,V0,V1), P_f-{F}(V1,V0,V2), P_a-{F}(V1,V3,V4), P_a-{F}(V2,V4,V5), P_a-{F}(V1,V4,V6), V5 == V6, P_a-{F}(V7,V3,V8), P_a-{F}(V0,V8,V9), P_f-{F}(V0,V7,V10), P_f-{F}(V11,V12,V10), P_f-{F}(V1,V11,V13), P_f-{F}(V0,V11,V13), P_a-{F}(V12,V3,V14), P_a-{F}(V11,V14,V9) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #776: exists( #21, #770 ), references = 1, size of lhs = 20:
% 36.80/36.98     P_f-{F}(V0,V0,V1), P_f-{F}(V1,V0,V2), P_f-{F}(V1,V3,V2), P_f-{F}(V4,V5,V2), P_f-{F}(V4,V4,V6), P_f-{F}(V6,V4,V7), P_f-{F}(V4,V1,V8), P_f-{F}(V6,V1,V8), P_f-{F}(V0,V4,V9), P_a-{F}(V5,V10,V11), P_a-{F}(V4,V11,V12), P_a-{F}(V1,V13,V12), P_a-{F}(V6,V10,V14), P_a-{F}(V7,V14,V15), P_a-{F}(V9,V13,V16), P_a-{F}(V1,V17,V12), P_a-{F}(V3,V18,V17), P_a-{F}(V6,V18,V19), P_a-{F}(V0,V19,V20), V20 == V16 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #791: exists( #21, #789 ), references = 1, size of lhs = 5:
% 36.80/36.98     P_f-{F}(V0,V0,V1), P_f-{F}(V1,V0,V2), P_a-{F}(V1,V3,V4), P_a-{F}(V2,V4,V5), P_a-{F}(V0,V6,V5) | P_a-{T}(V0,V3,V6)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #816: exists( #21, #814 ), references = 1, size of lhs = 13:
% 36.80/36.98     P_f-{F}(V0,V0,V1), P_f-{F}(V1,V0,V2), P_a-{F}(V0,V3,V4), P_a-{F}(V1,V5,V4), less-{F}(V6,V4), P_a-{F}(V7,V3,V6), P_a-{F}(V7,V5,V8), P_f-{F}(V0,V9,V7), less-{F}(V10,V8), P_a-{F}(V2,V11,V10), P_a-{F}(V1,V12,V11), P_a-{F}(V9,V12,V13), P_a-{F}(V0,V13,V4) | P_a-{T}(V0,V12,V3), P_a-{T}(V0,V12,V5)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #820: mergings( V1 == V15, V4 == V14; #817 ), references = 1, size of lhs = 15:
% 36.80/36.98     P_f-{F}(V0,V0,V1), P_f-{F}(V1,V0,V2), P_a-{F}(V1,V3,V4), P_a-{F}(V0,V5,V4), P_a-{F}(V1,V5,V6), V4 == V6, less-{F}(V7,V4), P_a-{F}(V8,V5,V7), P_a-{F}(V8,V3,V9), P_f-{F}(V0,V10,V8), less-{F}(V11,V9), P_a-{F}(V2,V12,V11), P_a-{F}(V1,V13,V12), P_a-{F}(V10,V13,V14), P_a-{F}(V0,V14,V4) | P_a-{T}(V0,V13,V3)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #912: exists( #20, #561 ), references = 2, size of lhs = 15:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V1,V6,V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_f-{F}(V4,V10,V12), P_f-{F}(V0,V10,V13) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #925: mergings( V1 == V9, V2 == V12, V3 == V13, V10 == V15, V11 == V17, V8 == V21, V4 == V14, V5 == V16, V7 == V19, V6 == V18; #914 ), references = 1, size of lhs = 13:
% 36.80/36.98     P_tt-{F}(V0), P_s-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_f-{F}(V0,V1,V4), P_ts-{F}(V5), P_f-{F}(V1,V0,V6), P_tt_ts-{F}(V7), P_f-{F}(V1,V5,V7), P_f-{F}(V0,V5,V8), P_k-{F}(V9), P_critical_point-{F}(V1,V10) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #945: mergings( V14 == V17, V17 == V20, V18 == V22, V19 == V24, V1 == V7, V7 == V12, V2 == V8, V8 == V21, V3 == V12, V15 == V22, V16 == V24, V4 == V9, V6 == V11, V9 == V23, V11 == V26, V5 == V10, V10 == V25; #927 ), references = 1, size of lhs = 11:
% 36.80/36.98     P_tt-{F}(V0), P_s-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_f-{F}(V0,V1,V4), P_ts-{F}(V5), P_f-{F}(V1,V0,V6), P_tt_ts-{F}(V7), P_f-{F}(V1,V5,V7), P_f-{F}(V0,V5,V8) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #976: mergings( V22 == V25, V25 == V28, V26 == V30, V27 == V32, V1 == V9, V9 == V20, V2 == V10, V3 == V11, V10 == V21, V11 == V28, V4 == V12, V12 == V17, V17 == V19, V19 == V29, V5 == V13, V6 == V14, V8 == V16, V13 == V18, V14 == V23, V16 == V24, V18 == V20, V23 == V30, V24 == V32, V7 == V15, V15 == V31; #950 ), references = 1, size of lhs = 20:
% 36.80/36.98     P_tt-{F}(V0), P_s-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_f-{F}(V0,V1,V4), P_ts-{F}(V5), P_f-{F}(V1,V0,V6), P_f-{F}(V7,V8,V5), P_f-{F}(V0,V7,V9), P_f-{F}(V0,V8,V10), P_f-{F}(V0,V11,V9), P_f-{F}(V11,V12,V5), P_f-{F}(V0,V12,V10), P_f-{F}(V13,V14,V5), P_f-{F}(V0,V13,V15), P_f-{F}(V0,V14,V16), P_f-{F}(V1,V17,V15), P_f-{F}(V17,V18,V5), P_f-{F}(V1,V18,V16) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1000: mergings( V13 == V15, V14 == V16, V15 == V17, V16 == V18, V17 == V19, V18 == V20, V19 == V21, V20 == V23, V23 == V24, V1 == V11, V2 == V12, V3 == V21, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V22, V5 == V11, V6 == V24; #980 ), references = 1, size of lhs = 18:
% 36.80/36.98     P_tt-{F}(V0), P_s-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_f-{F}(V0,V1,V4), P_f-{F}(V1,V5,V0), P_f-{F}(V5,V6,V0), P_f-{F}(V1,V6,V0), P_f-{F}(V7,V8,V0), P_f-{F}(V1,V7,V9), P_f-{F}(V1,V8,V10), P_f-{F}(V11,V12,V10), P_f-{F}(V9,V11,V13), P_f-{F}(V9,V12,V14), P_f-{F}(V0,V15,V13), P_f-{F}(V15,V16,V0), P_f-{F}(V0,V16,V14) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1004: exists( #20, #1002 ), references = 1, size of lhs = 1:
% 36.80/36.98     P_f-{F}(V0,V1,V0) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1018: mergings( V13 == V14; #1015 ), references = 2, size of lhs = 11:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V3), P_critical_point-{F}(V4,V3), P_f-{F}(V4,V2,V5), P_f-{F}(V6,V0,V5), P_f-{F}(V7,V8,V6), P_a-{F}(V7,V9,V1), P_a-{F}(V8,V9,V10), P_a-{F}(V7,V11,V3), V11 == V10, P_a-{F}(V12,V10,V11) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1020: mergings( V3 == V4; #1016 ), references = 3, size of lhs = 5:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V2,V3,V1), V1 == V3, P_a-{F}(V0,V3,V4), V4 == V3 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1027: exists( #22, #1023 ), references = 3, size of lhs = 7:
% 36.80/36.98     P_f-{F}(V0,V0,V1), P_f-{F}(V0,V2,V3), P_f-{F}(V3,V3,V4), P_f-{F}(V1,V3,V4), P_critical_point-{F}(V2,V5), P_critical_point-{F}(V6,V5), P_f-{F}(V7,V3,V6) | P_critical_point-{T}(V3,V5)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1064: exists( #20, #1060 ), references = 3, size of lhs = 8:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V2,V1,V3), P_critical_point-{F}(V4,V3), P_a-{F}(V4,V5,V5), less-{F}(V6,V5), P_a-{F}(V2,V7,V6), P_a-{F}(V0,V7,V8), P_a-{F}(V2,V8,V5) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1065: exists( #20, #1058 ), references = 2, size of lhs = 9:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V2,V1,V3), P_critical_point-{F}(V4,V3), P_critical_point-{F}(V2,V5), less-{F}(V6,V5), P_a-{F}(V0,V6,V7), P_a-{F}(V2,V7,V8), V8 == V6, P_a-{F}(V4,V8,V8) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1066: exists( #20, #1059 ), references = 3, size of lhs = 10:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V2,V1,V3), P_critical_point-{F}(V4,V3), P_critical_point-{F}(V2,V5), P_critical_point-{F}(V6,V5), P_a-{F}(V6,V7,V7), P_a-{F}(V0,V7,V8), P_a-{F}(V2,V8,V9), V9 == V7, P_a-{F}(V4,V9,V9) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1079: exists( #22, #1073 ), references = 1, size of lhs = 9:
% 36.80/36.98     less-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V3,V0,V4), V4 == V0, P_a-{F}(V3,V5,V5), less-{F}(V6,V5), P_a-{F}(V2,V7,V6), P_a-{F}(V3,V7,V8), P_a-{F}(V2,V8,V5) | P_critical_point-{T}(V3,V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1081: mergings( V5 == V7; #1077 ), references = 4, size of lhs = 9:
% 36.80/36.98     less-{F}(V0,V1), P_critical_point-{F}(V2,V1), less-{F}(V3,V1), P_a-{F}(V4,V0,V5), V5 == V0, P_a-{F}(V4,V3,V6), P_a-{F}(V2,V6,V7), V7 == V3, P_a-{F}(V4,V7,V7) | P_critical_point-{T}(V4,V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1083: mergings( V5 == V7; #1078 ), references = 1, size of lhs = 10:
% 36.80/36.98     less-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_critical_point-{F}(V3,V1), P_a-{F}(V3,V4,V4), P_a-{F}(V5,V0,V6), V6 == V0, P_a-{F}(V5,V4,V7), P_a-{F}(V2,V7,V8), V8 == V4, P_a-{F}(V5,V8,V8) | P_critical_point-{T}(V5,V0)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1119: mergings( V10 == V11; #1116 ), references = 1, size of lhs = 11:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_f-{F}(V0,V0,V2), P_critical_point-{F}(V2,V3), P_critical_point-{F}(V4,V3), P_f-{F}(V5,V5,V2), P_critical_point-{F}(V5,V6), P_a-{F}(V2,V6,V6), P_a-{F}(V4,V7,V7), P_a-{F}(V8,V7,V7), P_f-{F}(V5,V8,V9), P_critical_point-{F}(V9,V1) | P_a-{T}(V5,V7,V7)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1122: mergings( V3 == V9, V9 == V10; #1117 ), references = 1, size of lhs = 11:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_f-{F}(V0,V0,V2), P_f-{F}(V3,V3,V2), P_critical_point-{F}(V3,V4), P_critical_point-{F}(V5,V4), P_f-{F}(V0,V6,V5), P_a-{F}(V7,V1,V1), P_f-{F}(V0,V8,V7), P_a-{F}(V6,V9,V9), P_a-{F}(V7,V9,V9), P_a-{F}(V8,V9,V9) | P_a-{T}(V0,V9,V9)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1138: mergings( V3 == V4, V9 == V10, V10 == V12; #1132 ), references = 1, size of lhs = 12:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V3,V4,V1), V1 == V4, less-{F}(V4,V5), P_a-{F}(V6,V5,V5), P_a-{F}(V6,V4,V7), V7 == V4, P_a-{F}(V0,V7,V5), P_a-{F}(V2,V7,V8), V8 == V4, P_a-{F}(V6,V8,V8) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1142: mergings( V3 == V4, V8 == V9, V9 == V11; #1133 ), references = 1, size of lhs = 12:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V3,V4,V1), V1 == V4, P_a-{F}(V5,V4,V6), V6 == V4, P_a-{F}(V0,V6,V7), V7 == V4, P_a-{F}(V5,V7,V7), P_a-{F}(V2,V6,V8), V8 == V4, P_a-{F}(V5,V8,V8) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1147: mergings( V3 == V4, V9 == V10, V10 == V12, V4 == V7; #1134 ), references = 1, size of lhs = 12:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V3,V4,V1), V1 == V4, P_a-{F}(V5,V4,V6), V6 == V4, P_a-{F}(V0,V6,V7), V7 == V4, P_a-{F}(V5,V7,V7), P_a-{F}(V2,V6,V8), V8 == V4, P_a-{F}(V5,V8,V8) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1155: exists( #22, #1150 ), references = 1, size of lhs = 8:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V0,V1,V3), P_a-{F}(V4,V3,V3), P_a-{F}(V2,V1,V5), P_a-{F}(V4,V5,V5), P_critical_point-{F}(V6,V1), P_f-{F}(V4,V7,V6) | P_critical_point-{T}(V7,V1), P_critical_point-{T}(V7,V3), P_critical_point-{T}(V7,V5)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1157: mergings( V4 == V7; #1153 ), references = 1, size of lhs = 8:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V0,V1,V3), P_a-{F}(V4,V3,V3), P_a-{F}(V2,V1,V5), P_a-{F}(V4,V5,V5), P_critical_point-{F}(V6,V1), P_f-{F}(V4,V7,V6) | P_critical_point-{T}(V7,V1), P_critical_point-{T}(V7,V3), P_critical_point-{T}(V7,V5)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1159: mergings( V7 == V9; #1154 ), references = 1, size of lhs = 9:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), less-{F}(V1,V3), P_a-{F}(V0,V1,V3), P_a-{F}(V2,V1,V4), P_a-{F}(V5,V4,V4), P_a-{F}(V5,V3,V3), P_critical_point-{F}(V6,V1), P_f-{F}(V5,V7,V6) | P_critical_point-{T}(V7,V1), P_critical_point-{T}(V7,V4), P_critical_point-{T}(V7,V3)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1161: disj( #1152, input, input ), references = 1, size of lhs = 16:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_a-{F}(V0,V1,V3), P_a-{F}(V4,V3,V3), P_a-{F}(V2,V1,V5), P_a-{F}(V4,V5,V5), P_critical_point-{F}(V6,V1), P_f-{F}(V4,V7,V6), P_f-{F}(V8,V7,V9), P_critical_point-{F}(V9,V10), P_a-{F}(V8,V3,V11), V10 == V11, P_f-{F}(V12,V7,V13), P_critical_point-{F}(V13,V14), P_a-{F}(V12,V5,V15), V14 == V15 | P_critical_point-{T}(V7,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1172: exists( #20, #12 ), references = 1, size of lhs = 10:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_tt_ts-{F}(V7), P_f-{F}(V0,V6,V8), V7 == V8 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1173: exists( #20, #13 ), references = 2, size of lhs = 12:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_tt_ts-{F}(V7), P_f-{F}(V0,V6,V8), P_k-{F}(V9), P_critical_point-{F}(V1,V10), V9 == V10 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1178: exists( #20, #1174 ), references = 2, size of lhs = 11:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_tt_ts-{F}(V7), P_f-{F}(V8,V9,V0), P_f-{F}(V8,V10,V6), P_f-{F}(V9,V10,V11) | P_f-{T}(V8,V11,V7)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1189: exists( #22, #1173 ), references = 2, size of lhs = 10:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_tt_ts-{F}(V7), P_f-{F}(V0,V6,V8), P_k-{F}(V9) | P_critical_point-{T}(V1,V9)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1191: exists( #21, #1020 ), references = 4, size of lhs = 3:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_a-{F}(V2,V3,V1), V1 == V3 | P_a-{T}(V0,V3,V3)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1204: disj( #4, exists( #22, #391 ) ), references = 1, size of lhs = 10:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V3), P_critical_point-{F}(V4,V3), P_f-{F}(V4,V2,V5), P_f-{F}(V6,V0,V5), P_f-{F}(V7,V8,V6), P_a-{F}(V7,V9,V1), P_a-{F}(V8,V9,V10), P_a-{F}(V7,V11,V3), V11 == V10 | less-{T}(V11,V10)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1219: exists( #20, #11 ), references = 2, size of lhs = 7:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6) | P_f-{T}(V1,V4,V6)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1267: exists( #22, #1262 ), references = 1, size of lhs = 6:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_critical_point-{F}(V3,V1), P_f-{F}(V4,V0,V5), P_f-{F}(V5,V2,V6), P_f-{F}(V3,V5,V6) | P_critical_point-{T}(V5,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1268: exists( #22, #1261 ), references = 1, size of lhs = 12:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_critical_point-{F}(V3,V1), P_f-{F}(V4,V0,V5), P_f-{F}(V5,V2,V6), P_f-{F}(V7,V7,V8), P_f-{F}(V7,V3,V9), P_f-{F}(V9,V9,V10), P_f-{F}(V8,V9,V10), P_f-{F}(V11,V9,V6), P_f-{F}(V12,V9,V13), P_f-{F}(V12,V5,V13) | P_critical_point-{T}(V5,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1269: exists( #22, #1263 ), references = 1, size of lhs = 15:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_critical_point-{F}(V3,V1), P_critical_point-{F}(V4,V1), P_f-{F}(V5,V0,V6), P_f-{F}(V6,V2,V7), P_f-{F}(V8,V6,V7), P_f-{F}(V8,V8,V9), P_f-{F}(V10,V10,V11), P_f-{F}(V10,V3,V12), P_f-{F}(V12,V12,V13), P_f-{F}(V11,V12,V13), P_f-{F}(V4,V12,V14), P_f-{F}(V9,V12,V14), P_f-{F}(V15,V12,V7) | P_critical_point-{T}(V6,V1)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1310: exists( #21, #1306 ), references = 1, size of lhs = 7:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_f-{F}(V2,V0,V3), P_critical_point-{F}(V4,V5), P_f-{F}(V6,V4,V3), P_f-{F}(V6,V7,V3), P_critical_point-{F}(V7,V8), V5 == V8 | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1313: exists( #22, #1308 ), references = 1, size of lhs = 5:
% 36.80/36.98     P_critical_point-{F}(V0,V1), P_f-{F}(V2,V0,V3), P_f-{F}(V4,V5,V3), P_f-{F}(V4,V6,V3), P_critical_point-{F}(V6,V7) | P_critical_point-{T}(V5,V7)
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1341: exists( #20, #912 ), references = 2, size of lhs = 14:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V1,V6,V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11), P_f-{F}(V4,V10,V12) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1342: exists( #20, #587 ), references = 1, size of lhs = 17:
% 36.80/36.98     P_sk-{F}(V0), P_tk-{F}(V1), P_tt-{F}(V2), P_t-{F}(V3), P_f-{F}(V3,V3,V4), P_st-{F}(V5), P_s-{F}(V6), P_f-{F}(V6,V3,V7), P_ts-{F}(V8), P_f-{F}(V3,V6,V9), P_tt_ts-{F}(V10), P_f-{F}(V3,V8,V10), P_f-{F}(V2,V8,V11), P_k-{F}(V12), P_f-{F}(V3,V12,V13), P_critical_point-{F}(V3,V14), P_f-{F}(V6,V12,V15) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1343: exists( #20, #602 ), references = 1, size of lhs = 19:
% 36.80/36.98     P_sk-{F}(V0), P_tk-{F}(V1), P_tt-{F}(V2), P_t-{F}(V3), P_f-{F}(V3,V3,V4), P_st-{F}(V5), P_s-{F}(V6), P_f-{F}(V6,V3,V7), P_ts-{F}(V8), P_f-{F}(V3,V6,V9), P_tt_ts-{F}(V10), P_f-{F}(V3,V8,V10), P_f-{F}(V2,V8,V11), P_k-{F}(V12), P_critical_point-{F}(V3,V13), P_f-{F}(V6,V12,V14), P_f-{F}(V3,V12,V15), P_f-{F}(V16,V8,V10), P_f-{F}(V16,V12,V15) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1363: mergings( V1 == V9, V2 == V10, V3 == V11, V14 == V16, V15 == V18, V8 == V22, V4 == V12, V5 == V17, V7 == V20, V6 == V19; #1352 ), references = 1, size of lhs = 13:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V1,V6,V8), P_f-{F}(V0,V6,V9), P_k-{F}(V10), P_critical_point-{F}(V1,V11) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1382: mergings( V14 == V16, V16 == V17, V20 == V22, V21 == V24, V1 == V7, V7 == V12, V2 == V8, V8 == V18, V3 == V19, V15 == V22, V4 == V9, V6 == V11, V9 == V23, V11 == V26, V5 == V10, V10 == V25; #1365 ), references = 1, size of lhs = 11:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_st-{F}(V3), P_s-{F}(V4), P_f-{F}(V4,V1,V5), P_ts-{F}(V6), P_f-{F}(V1,V4,V7), P_tt_ts-{F}(V8), P_f-{F}(V1,V6,V8), P_f-{F}(V0,V6,V9) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1401: mergings( V16 == V18, V18 == V19, V22 == V24, V23 == V25, V1 == V11, V2 == V12, V3 == V19, V4 == V8, V8 == V10, V10 == V20, V5 == V9, V6 == V17, V9 == V21, V17 == V24, V7 == V15; #1385 ), references = 2, size of lhs = 14:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V2,V0), P_ts-{F}(V3), P_f-{F}(V1,V4,V3), P_f-{F}(V2,V4,V3), P_f-{F}(V1,V1,V5), P_st-{F}(V6), P_s-{F}(V7), P_f-{F}(V7,V1,V8), P_f-{F}(V1,V7,V9), P_f-{F}(V1,V10,V0), P_f-{F}(V1,V11,V3), P_f-{F}(V10,V11,V3) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1410: mergings( V3 == V5, V5 == V6, V9 == V10, V1 == V6, V2 == V7; #1404 ), references = 1, size of lhs = 6:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V0), P_st-{F}(V2), P_s-{F}(V3), P_f-{F}(V3,V1,V4) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1420: mergings( V5 == V7, V7 == V8, V8 == V9, V1 == V3, V3 == V9, V2 == V4, V4 == V10; #1412 ), references = 1, size of lhs = 4:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V0), P_st-{F}(V2) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1427: mergings( V3 == V5, V5 == V6, V6 == V7, V1 == V2, V2 == V7; #1421 ), references = 1, size of lhs = 3:
% 36.80/36.98     P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V0) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1432: mergings( V1 == V2, V2 == V3; #1429 ), references = 1, size of lhs = 1:
% 36.80/36.98     P_tt-{F}(V0) | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  #1434: exists( #23, #1429 ), references = 1, size of lhs = 0:
% 36.80/36.98     FALSE | FALSE
% 36.80/36.98        (used 0 times, uses = {})
% 36.80/36.98  
% 36.80/36.98  number of learnt formulas = 116
% 36.80/36.98  
% 36.80/36.98  
% 36.80/36.98  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.80/36.98  
% 36.80/36.98  randbase = 1
%------------------------------------------------------------------------------