TSTP Solution File: SET792+4 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% 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 06:16:43 EDT 2022

% Result   : Theorem 2.51s 2.74s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : Sat Jul 23 01:47:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.51/2.74  GeoParameters:
% 2.51/2.74  
% 2.51/2.74  tptp_input =     1
% 2.51/2.74  tptp_output =    0
% 2.51/2.74  nonempty =       1
% 2.51/2.74  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/2.74  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.51/2.74  
% 2.51/2.74  
% 2.51/2.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/2.74  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/2.74  
% 2.51/2.74  RuleSystem INPUT:
% 2.51/2.74  
% 2.51/2.74  Initial Rules:
% 2.51/2.74  #0: input, references = 4, size of lhs = 1:
% 2.51/2.74     order-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #1: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp0-{F}(V0,V1) | order-{T}(V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #2: input, references = 3, size of lhs = 2:
% 2.51/2.74     pppp0-{F}(V0,V1), member-{F}(V2,V1) | apply-{T}(V0,V2,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #3: input, references = 8, size of lhs = 6:
% 2.51/2.74     pppp0-{F}(V0,V1), member-{F}(V2,V1), member-{F}(V3,V1), apply-{F}(V0,V3,V2), apply-{F}(V0,V2,V3), V3 == V2 | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #4: input, references = 3, size of lhs = 6:
% 2.51/2.74     pppp0-{F}(V0,V1), member-{F}(V2,V1), member-{F}(V3,V1), apply-{F}(V0,V3,V2), member-{F}(V4,V1), apply-{F}(V0,V4,V3) | apply-{T}(V0,V4,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #5: input, references = 3, size of lhs = 2:
% 2.51/2.74     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp29-{T}(V0,V1), pppp30-{T}(V0,V1), pppp31-{T}(V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #6: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp29-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #7: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp30-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #8: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp31-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #9: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #10: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp15-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #11: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp14-{F}(V0,V1,V2,V3) | EXISTS V4: pppp13-{T}(V0,V1,V4,V2,V3)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #12: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp14-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #13: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp14-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #14: input, references = 3, size of lhs = 2:
% 2.51/2.74     pppp13-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V2,V4) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #15: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp13-{F}(V0,V1,V2,V3,V4) | apply-{T}(V0,V2,V3)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #16: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp13-{F}(V0,V1,V2,V3,V4) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #17: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #18: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp12-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #19: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp11-{F}(V0,V1,V3,V3) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #20: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp11-{F}(V0,V1,V2,V3) | apply-{T}(V0,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #21: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp11-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #22: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp11-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #23: input, references = 3, size of lhs = 2:
% 2.51/2.74     pppp10-{F}(V0,V1,V2), apply-{F}(V0,V2,V2) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #24: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp10-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #25: input, references = 3, size of lhs = 1:
% 2.51/2.74     total_order-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #26: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp1-{F}(V0,V1) | total_order-{T}(V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #27: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp1-{F}(V0,V1) | order-{T}(V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #28: input, references = 3, size of lhs = 3:
% 2.51/2.74     pppp1-{F}(V0,V1), member-{F}(V2,V1), member-{F}(V3,V1) | apply-{T}(V0,V3,V2), apply-{T}(V0,V2,V3)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #29: input, references = 3, size of lhs = 1:
% 2.51/2.74     order-{F}(V0,V1) | pppp1-{T}(V0,V1), pppp32-{T}(V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #30: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp32-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #31: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V0,V1,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #32: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp17-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #33: input, references = 3, size of lhs = 2:
% 2.51/2.74     pppp16-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #34: input, references = 3, size of lhs = 2:
% 2.51/2.74     pppp16-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #35: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp16-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #36: input, references = 3, size of lhs = 1:
% 2.51/2.74     upper_bound-{F}(V2,V0,V1) | pppp2-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #37: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp2-{F}(V0,V1,V2) | upper_bound-{T}(V2,V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #38: input, references = 5, size of lhs = 2:
% 2.51/2.74     pppp2-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #39: input, references = 5, size of lhs = 3:
% 2.51/2.74     #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp33-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #40: input, references = 4, size of lhs = 1:
% 2.51/2.74     pppp33-{F}(V0,V1,V2) | EXISTS V3: pppp18-{T}(V0,V1,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #41: input, references = 7, size of lhs = 2:
% 2.51/2.74     pppp18-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #42: input, references = 4, size of lhs = 1:
% 2.51/2.74     pppp18-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #43: input, references = 3, size of lhs = 1:
% 2.51/2.74     lower_bound-{F}(V2,V0,V1) | pppp3-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #44: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp3-{F}(V0,V1,V2) | lower_bound-{T}(V2,V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #45: input, references = 6, size of lhs = 2:
% 2.51/2.74     pppp3-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V2,V3)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #46: input, references = 4, size of lhs = 3:
% 2.51/2.74     #-{F} V0, #-{F} V1, #-{F} V2 | pppp3-{T}(V0,V1,V2), pppp34-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #47: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp34-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #48: input, references = 3, size of lhs = 2:
% 2.51/2.74     pppp19-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #49: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp19-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #50: input, references = 3, size of lhs = 1:
% 2.51/2.74     greatest-{F}(V2,V0,V1) | pppp4-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #51: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp4-{F}(V0,V1,V2) | greatest-{T}(V2,V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #52: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp4-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #53: input, references = 6, size of lhs = 2:
% 2.51/2.74     pppp4-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #54: input, references = 6, size of lhs = 2:
% 2.51/2.74     #-{F} V0, member-{F}(V2,V1) | pppp4-{T}(V0,V1,V2), pppp35-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #55: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp35-{F}(V0,V1,V2) | EXISTS V3: pppp20-{T}(V0,V1,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #56: input, references = 4, size of lhs = 2:
% 2.51/2.74     pppp20-{F}(V0,V1,V2,V3), apply-{F}(V0,V2,V3) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #57: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp20-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #58: input, references = 4, size of lhs = 1:
% 2.51/2.74     least-{F}(V2,V0,V1) | pppp5-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #59: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp5-{F}(V0,V1,V2) | least-{T}(V2,V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #60: input, references = 4, size of lhs = 1:
% 2.51/2.74     pppp5-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #61: input, references = 7, size of lhs = 2:
% 2.51/2.74     pppp5-{F}(V0,V1,V2), member-{F}(V3,V1) | apply-{T}(V0,V2,V3)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #62: input, references = 5, size of lhs = 2:
% 2.51/2.74     #-{F} V0, member-{F}(V2,V1) | pppp5-{T}(V0,V1,V2), pppp36-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #63: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp36-{F}(V0,V1,V2) | EXISTS V3: pppp21-{T}(V0,V1,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #64: input, references = 3, size of lhs = 2:
% 2.51/2.74     pppp21-{F}(V0,V1,V2,V3), apply-{F}(V0,V3,V2) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #65: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp21-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #66: input, references = 3, size of lhs = 1:
% 2.51/2.74     max-{F}(V2,V0,V1) | pppp6-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #67: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp6-{F}(V0,V1,V2) | max-{T}(V2,V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #68: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp6-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #69: input, references = 4, size of lhs = 4:
% 2.51/2.74     pppp6-{F}(V0,V1,V2), member-{F}(V3,V1), apply-{F}(V0,V2,V3), V2 == V3 | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #70: input, references = 4, size of lhs = 2:
% 2.51/2.74     #-{F} V0, member-{F}(V2,V1) | pppp6-{T}(V0,V1,V2), pppp37-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #71: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp37-{F}(V0,V1,V2) | EXISTS V3: pppp22-{T}(V0,V1,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #72: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp22-{F}(V0,V1,V2,V2) | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #73: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp22-{F}(V0,V1,V2,V3) | apply-{T}(V0,V3,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #74: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp22-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #75: input, references = 3, size of lhs = 1:
% 2.51/2.74     min-{F}(V2,V0,V1) | pppp7-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #76: input, references = 4, size of lhs = 1:
% 2.51/2.74     pppp7-{F}(V0,V1,V2) | min-{T}(V2,V0,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #77: input, references = 3, size of lhs = 1:
% 2.51/2.74     pppp7-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #78: input, references = 4, size of lhs = 4:
% 2.51/2.74     pppp7-{F}(V0,V1,V2), member-{F}(V3,V1), apply-{F}(V0,V3,V2), V2 == V3 | FALSE
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #79: input, references = 5, size of lhs = 2:
% 2.51/2.74     #-{F} V0, member-{F}(V2,V1) | pppp7-{T}(V0,V1,V2), pppp38-{T}(V0,V1,V2)
% 2.51/2.74        (used 0 times, uses = {})
% 2.51/2.74  
% 2.51/2.74  #80: input, references = 4, size of lhs = 1:
% 2.51/2.74     pppp38-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V0,V1,V3,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #81: input, references = 4, size of lhs = 1:
% 2.51/2.75     pppp23-{F}(V0,V1,V2,V2) | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #82: input, references = 4, size of lhs = 1:
% 2.51/2.75     pppp23-{F}(V0,V1,V2,V3) | apply-{T}(V0,V2,V3)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #83: input, references = 4, size of lhs = 1:
% 2.51/2.75     pppp23-{F}(V0,V1,V2,V3) | member-{T}(V2,V1)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #84: input, references = 3, size of lhs = 1:
% 2.51/2.75     least_upper_bound-{F}(V0,V1,V2,V3) | pppp8-{T}(V2,V3,V1,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #85: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp8-{F}(V2,V3,V1,V0) | least_upper_bound-{T}(V0,V1,V2,V3)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #86: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp8-{F}(V0,V1,V2,V3) | member-{T}(V3,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #87: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp8-{F}(V0,V1,V2,V3) | upper_bound-{T}(V3,V0,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #88: input, references = 3, size of lhs = 3:
% 2.51/2.75     pppp8-{F}(V0,V1,V2,V3), member-{F}(V4,V1), upper_bound-{F}(V4,V0,V2) | apply-{T}(V0,V3,V4)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #89: input, references = 3, size of lhs = 3:
% 2.51/2.75     #-{F} V1, member-{F}(V3,V2), upper_bound-{F}(V3,V0,V2) | pppp8-{T}(V0,V1,V2,V3), pppp39-{T}(V0,V1,V2,V3)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #90: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp39-{F}(V0,V1,V2,V3) | EXISTS V4: pppp24-{T}(V0,V1,V2,V4,V3)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #91: input, references = 3, size of lhs = 2:
% 2.51/2.75     pppp24-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V4,V3) | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #92: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp24-{F}(V0,V1,V2,V3,V4) | upper_bound-{T}(V3,V0,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #93: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp24-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V1)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #94: input, references = 3, size of lhs = 1:
% 2.51/2.75     greatest_lower_bound-{F}(V0,V1,V2,V3) | pppp9-{T}(V2,V3,V1,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #95: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp9-{F}(V2,V3,V1,V0) | greatest_lower_bound-{T}(V0,V1,V2,V3)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #96: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp9-{F}(V0,V1,V2,V3) | member-{T}(V3,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #97: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp9-{F}(V0,V1,V2,V3) | lower_bound-{T}(V3,V0,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #98: input, references = 3, size of lhs = 3:
% 2.51/2.75     pppp9-{F}(V0,V1,V2,V3), member-{F}(V4,V1), lower_bound-{F}(V4,V0,V2) | apply-{T}(V0,V4,V3)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #99: input, references = 3, size of lhs = 3:
% 2.51/2.75     #-{F} V1, member-{F}(V3,V2), lower_bound-{F}(V3,V0,V2) | pppp9-{T}(V0,V1,V2,V3), pppp40-{T}(V0,V1,V2,V3)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #100: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp40-{F}(V0,V1,V2,V3) | EXISTS V4: pppp25-{T}(V0,V1,V2,V4,V3)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #101: input, references = 3, size of lhs = 2:
% 2.51/2.75     pppp25-{F}(V0,V1,V2,V3,V4), apply-{F}(V0,V3,V4) | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #102: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp25-{F}(V0,V1,V2,V3,V4) | lower_bound-{T}(V3,V0,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #103: input, references = 3, size of lhs = 1:
% 2.51/2.75     pppp25-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V1)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #104: input, references = 4, size of lhs = 0:
% 2.51/2.75     FALSE | EXISTS V0: pppp28-{T}(V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #105: input, references = 4, size of lhs = 1:
% 2.51/2.75     pppp28-{F}(V0) | EXISTS V1: pppp27-{T}(V0,V1)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #106: input, references = 4, size of lhs = 1:
% 2.51/2.75     pppp27-{F}(V0,V1) | EXISTS V2: pppp26-{T}(V0,V1,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #107: input, references = 4, size of lhs = 1:
% 2.51/2.75     pppp27-{F}(V0,V1) | order-{T}(V0,V1)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #108: input, references = 4, size of lhs = 2:
% 2.51/2.75     pppp26-{F}(V0,V1,V2), min-{F}(V2,V0,V1) | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #109: input, references = 4, size of lhs = 1:
% 2.51/2.75     pppp26-{F}(V0,V1,V2) | least-{T}(V2,V0,V1)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  number of initial rules = 110
% 2.51/2.75  
% 2.51/2.75  Simplifiers:
% 2.51/2.75  #110: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #111: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #112: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #113: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #114: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #115: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V8,V4), V3 == V8 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #116: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V1,V7,V8,V9), V4 == V9 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #117: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #118: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #119: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #120: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #121: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #122: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #123: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #124: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #125: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp20-{F}(V0,V1,V2,V3), pppp20-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #126: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp21-{F}(V0,V1,V2,V3), pppp21-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #127: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp22-{F}(V0,V1,V2,V3), pppp22-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #128: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #129: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp24-{F}(V0,V1,V2,V3,V4), pppp24-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #130: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp25-{F}(V0,V1,V2,V3,V4), pppp25-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #131: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp26-{F}(V0,V1,V2), pppp26-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #132: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp26-{F}(V0,V1,V2), pppp26-{F}(V0,V4,V5), V1 == V4 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #133: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp26-{F}(V0,V1,V2), pppp26-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #134: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp27-{F}(V0,V1), pppp27-{F}(V0,V3), V1 == V3 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #135: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp27-{F}(V0,V1), pppp27-{F}(V2,V3), V0 == V2 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #136: unsound, references = 3, size of lhs = 3:
% 2.51/2.75     pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  number of simplifiers = 27
% 2.51/2.75  
% 2.51/2.75  Learnt:
% 2.51/2.75  #148: disj( #70, input ), references = 1, size of lhs = 4:
% 2.51/2.75     member-{F}(V0,V1), member-{F}(V2,V1), V0 == V2, apply-{F}(V3,V0,V2) | pppp37-{T}(V3,V1,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #161: disj( #54, #53+#3 ), references = 1, size of lhs = 7:
% 2.51/2.75     member-{F}(V0,V1), member-{F}(V0,V2), pppp0-{F}(V3,V2), apply-{F}(V3,V0,V4), V4 == V0, member-{F}(V4,V2), member-{F}(V4,V1) | pppp35-{T}(V3,V1,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #173: disj( #79, input ), references = 1, size of lhs = 4:
% 2.51/2.75     member-{F}(V0,V1), member-{F}(V2,V1), V2 == V0, apply-{F}(V3,V0,V2) | pppp38-{T}(V3,V1,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #186: disj( #62, #61+#3 ), references = 1, size of lhs = 7:
% 2.51/2.75     member-{F}(V0,V1), member-{F}(V0,V2), pppp0-{F}(V3,V2), apply-{F}(V3,V0,V4), V0 == V4, member-{F}(V4,V1), member-{F}(V4,V2) | pppp36-{T}(V3,V1,V4)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #203: disj( #62, #61+#41 ), references = 1, size of lhs = 3:
% 2.51/2.75     member-{F}(V0,V1), member-{F}(V2,V1), pppp18-{F}(V3,V4,V0,V2) | pppp36-{T}(V3,V1,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #204: disj( #62, #61+#78 ), references = 1, size of lhs = 5:
% 2.51/2.75     member-{F}(V0,V1), member-{F}(V0,V2), member-{F}(V3,V1), V3 == V0, pppp7-{F}(V4,V2,V3) | pppp36-{T}(V4,V1,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #232: disj( #39, #38+#3 ), references = 1, size of lhs = 6:
% 2.51/2.75     pppp0-{F}(V0,V1), member-{F}(V2,V1), apply-{F}(V0,V2,V3), V2 == V3, member-{F}(V3,V1), member-{F}(V3,V4) | pppp33-{T}(V0,V4,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #233: disj( #39, #38+#69 ), references = 1, size of lhs = 4:
% 2.51/2.75     member-{F}(V0,V1), pppp6-{F}(V2,V1,V3), V3 == V0, member-{F}(V3,V4) | pppp33-{T}(V2,V4,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #242: disj( #54, #53+#41 ), references = 1, size of lhs = 3:
% 2.51/2.75     member-{F}(V0,V1), member-{F}(V2,V1), pppp18-{F}(V3,V4,V0,V2) | pppp35-{T}(V3,V1,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #249: disj( #79, #76+#108 ), references = 2, size of lhs = 2:
% 2.51/2.75     member-{F}(V0,V1), pppp26-{F}(V2,V1,V0) | pppp38-{T}(V2,V1,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #263: exists( #40, #260 ), references = 1, size of lhs = 2:
% 2.51/2.75     pppp33-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V2) | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #265: disj( #54, exists( #40, #260 ) ), references = 1, size of lhs = 2:
% 2.51/2.75     member-{F}(V0,V1), pppp33-{F}(V2,V1,V0) | pppp35-{T}(V2,V1,V0)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #281: disj( #39, exists( #40, #260 ) ), references = 1, size of lhs = 1:
% 2.51/2.75     pppp4-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #294: disj( #46, #45+#3 ), references = 1, size of lhs = 6:
% 2.51/2.75     member-{F}(V0,V1), member-{F}(V0,V2), pppp0-{F}(V3,V2), apply-{F}(V3,V0,V4), V4 == V0, member-{F}(V4,V2) | pppp34-{T}(V3,V1,V4)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #295: disj( #46, #45+#41 ), references = 1, size of lhs = 2:
% 2.51/2.75     member-{F}(V0,V1), pppp18-{F}(V2,V3,V4,V0) | pppp34-{T}(V2,V1,V4)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #296: disj( #46, #45+#56 ), references = 1, size of lhs = 2:
% 2.51/2.75     member-{F}(V0,V1), pppp20-{F}(V2,V3,V4,V0) | pppp34-{T}(V2,V1,V4)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #327: exists( #80, #325 ), references = 2, size of lhs = 4:
% 2.51/2.75     pppp0-{F}(V0,V1), pppp38-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), member-{F}(V2,V1) | pppp23-{T}(V0,V1,V2,V2)
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #341: exists( #106, #339 ), references = 1, size of lhs = 2:
% 2.51/2.75     pppp27-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #345: exists( #105, #343 ), references = 1, size of lhs = 1:
% 2.51/2.75     pppp28-{F}(V0) | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  #347: exists( #104, #344 ), references = 1, size of lhs = 0:
% 2.51/2.75     FALSE | FALSE
% 2.51/2.75        (used 0 times, uses = {})
% 2.51/2.75  
% 2.51/2.75  number of learnt formulas = 20
% 2.51/2.75  
% 2.51/2.75  
% 2.51/2.75  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/2.75  
% 2.51/2.75  randbase = 1
%------------------------------------------------------------------------------