TSTP Solution File: NUM484+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : NUM484+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n007.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 06:12:36 EDT 2022

% Result   : Theorem 0.18s 0.36s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM484+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri Jul 22 23:52:42 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.36  GeoParameters:
% 0.18/0.36  
% 0.18/0.36  tptp_input =     1
% 0.18/0.36  tptp_output =    0
% 0.18/0.36  nonempty =       1
% 0.18/0.36  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  
% 0.18/0.36  RuleSystem INPUT:
% 0.18/0.36  
% 0.18/0.36  Initial Rules:
% 0.18/0.36  #0: input, references = 3, size of lhs = 1:
% 0.18/0.36     P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #1: input, references = 3, size of lhs = 2:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #2: input, references = 3, size of lhs = 2:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #3: input, references = 3, size of lhs = 5:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #4: input, references = 3, size of lhs = 5:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #5: input, references = 3, size of lhs = 7:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5), aNaturalNumber0-{F}(V3), V4 == V5 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #6: input, references = 3, size of lhs = 10:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7), P_sdtpldt0-{F}(V5,V4,V8), aNaturalNumber0-{F}(V5), V7 == V8 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #7: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V3 == V2 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #8: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V2 == V4 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #9: input, references = 3, size of lhs = 7:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V5), aNaturalNumber0-{F}(V3), V4 == V5 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #10: input, references = 3, size of lhs = 10:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V3,V6), P_sdtasdt0-{F}(V6,V2,V7), P_sdtasdt0-{F}(V5,V4,V8), aNaturalNumber0-{F}(V5), V7 == V8 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #11: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aNaturalNumber0-{F}(V2), V3 == V2 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #12: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aNaturalNumber0-{F}(V2), V2 == V4 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #13: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V3 == V0 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #14: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V0 == V4 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #15: input, references = 3, size of lhs = 15:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aNaturalNumber0-{F}(V5), V6 == V9 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #16: input, references = 3, size of lhs = 15:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aNaturalNumber0-{F}(V5), V10 == V13 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #17: input, references = 3, size of lhs = 10:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V6), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #18: input, references = 3, size of lhs = 10:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V8), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #19: input, references = 3, size of lhs = 11:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V6,V4), P_sdtasdt0-{F}(V6,V2,V8), aNaturalNumber0-{F}(V6), V2 == V0, V6 == V3 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #20: input, references = 3, size of lhs = 11:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V6,V7), P_sdtasdt0-{F}(V6,V2,V5), aNaturalNumber0-{F}(V6), V2 == V0, V6 == V3 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #21: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #22: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #23: input, references = 3, size of lhs = 7:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0, V3 == V0 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #24: input, references = 3, size of lhs = 5:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #25: input, references = 3, size of lhs = 5:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #26: input, references = 3, size of lhs = 3:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #27: input, references = 3, size of lhs = 4:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #28: input, references = 3, size of lhs = 3:
% 0.18/0.36     pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #29: input, references = 3, size of lhs = 2:
% 0.18/0.36     pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #30: input, references = 3, size of lhs = 6:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp1-{T}(V3,V2,V4)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #31: input, references = 3, size of lhs = 8:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), pppp1-{F}(V3,V2,V5), V5 == V4 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #32: input, references = 3, size of lhs = 4:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #33: input, references = 3, size of lhs = 5:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #34: input, references = 3, size of lhs = 4:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #35: input, references = 3, size of lhs = 3:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #36: input, references = 3, size of lhs = 7:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), sdtlseqdt0-{F}(V2,V3), V3 == V2 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #37: input, references = 3, size of lhs = 7:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), aNaturalNumber0-{F}(V4), sdtlseqdt0-{F}(V4,V3) | sdtlseqdt0-{T}(V4,V2)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #38: input, references = 3, size of lhs = 3:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #39: input, references = 3, size of lhs = 4:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #40: input, references = 3, size of lhs = 11:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V6), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #41: input, references = 3, size of lhs = 11:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | sdtlseqdt0-{T}(V5,V6)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #42: input, references = 3, size of lhs = 11:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V8), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #43: input, references = 3, size of lhs = 11:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | sdtlseqdt0-{T}(V7,V8)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #44: input, references = 3, size of lhs = 12:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V6), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #45: input, references = 3, size of lhs = 12:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | sdtlseqdt0-{T}(V5,V6)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #46: input, references = 3, size of lhs = 12:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #47: input, references = 3, size of lhs = 12:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | sdtlseqdt0-{T}(V7,V8)
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #48: input, references = 3, size of lhs = 5:
% 0.18/0.36     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #49: input, references = 3, size of lhs = 6:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), V2 == V0 | sdtlseqdt0-{T}(V3,V4)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #50: input, references = 3, size of lhs = 6:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #51: input, references = 3, size of lhs = 5:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #52: input, references = 3, size of lhs = 5:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #53: input, references = 3, size of lhs = 3:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp6-{T}(V2,V3,V4)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #54: input, references = 3, size of lhs = 4:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #55: input, references = 3, size of lhs = 3:
% 0.18/0.37     pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #56: input, references = 3, size of lhs = 2:
% 0.18/0.37     pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #57: input, references = 3, size of lhs = 7:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), V2 == V0 | pppp3-{T}(V2,V3,V4)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #58: input, references = 3, size of lhs = 9:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), pppp3-{F}(V2,V3,V5), V2 == V0, V5 == V4 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #59: input, references = 3, size of lhs = 4:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #60: input, references = 3, size of lhs = 5:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #61: input, references = 3, size of lhs = 4:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #62: input, references = 3, size of lhs = 7:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V3) | doDivides0-{T}(V4,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #63: input, references = 3, size of lhs = 8:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V2,V5), aNaturalNumber0-{F}(V4), doDivides0-{F}(V3,V4) | doDivides0-{T}(V3,V5)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #64: input, references = 3, size of lhs = 8:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V2,V5), aNaturalNumber0-{F}(V4), doDivides0-{F}(V3,V4), doDivides0-{F}(V3,V5) | doDivides0-{T}(V3,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #65: input, references = 3, size of lhs = 6:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V2 == V0 | sdtlseqdt0-{T}(V3,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #66: input, references = 3, size of lhs = 12:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtsldt0-{F}(V7,V2,V8), aNaturalNumber0-{F}(V5), V2 == V0, V6 == V8 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #67: input, references = 3, size of lhs = 4:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), isPrime0-{F}(V2) | pppp4-{T}(V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #68: input, references = 3, size of lhs = 4:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp4-{F}(V2) | isPrime0-{T}(V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #69: input, references = 3, size of lhs = 3:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #70: input, references = 3, size of lhs = 3:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #71: input, references = 3, size of lhs = 7:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V3 == V1, V3 == V2 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #72: input, references = 3, size of lhs = 5:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), #-{F} V2, V2 == V0, V2 == V1 | pppp4-{T}(V2), pppp9-{T}(V2,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #73: input, references = 3, size of lhs = 1:
% 0.18/0.37     pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #74: input, references = 3, size of lhs = 1:
% 0.18/0.37     pppp7-{F}(V0,V0,V2) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #75: input, references = 3, size of lhs = 1:
% 0.18/0.37     pppp7-{F}(V0,V2,V2) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #76: input, references = 3, size of lhs = 1:
% 0.18/0.37     pppp7-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #77: input, references = 3, size of lhs = 1:
% 0.18/0.37     pppp7-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #78: input, references = 3, size of lhs = 3:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2) | aNaturalNumber0-{T}(V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #79: input, references = 3, size of lhs = 7:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), aNaturalNumber0-{F}(V3), iLess0-{F}(V3,V2), V3 == V0, V3 == V1 | EXISTS V4: pppp8-{T}(V3,V4)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #80: input, references = 3, size of lhs = 1:
% 0.18/0.37     pppp8-{F}(V0,V1) | isPrime0-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #81: input, references = 3, size of lhs = 1:
% 0.18/0.37     pppp8-{F}(V0,V1) | doDivides0-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #82: input, references = 3, size of lhs = 1:
% 0.18/0.37     pppp8-{F}(V0,V1) | aNaturalNumber0-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #83: input, references = 3, size of lhs = 3:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #84: input, references = 3, size of lhs = 3:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #85: input, references = 4, size of lhs = 4:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), isPrime0-{F}(V2) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #86: input, references = 4, size of lhs = 3:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2) | isPrime0-{T}(V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #87: input, references = 3, size of lhs = 6:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), isPrime0-{F}(V3) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #88: input, references = 4, size of lhs = 0:
% 0.18/0.37     FALSE | EXISTS V0: P_sz00-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #89: input, references = 4, size of lhs = 0:
% 0.18/0.37     FALSE | EXISTS V0: P_sz10-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #90: input, references = 3, size of lhs = 2:
% 0.18/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #91: input, references = 3, size of lhs = 2:
% 0.18/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #92: input, references = 3, size of lhs = 2:
% 0.18/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #93: input, references = 3, size of lhs = 2:
% 0.18/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #94: input, references = 4, size of lhs = 0:
% 0.18/0.37     FALSE | EXISTS V0: P_xk-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of initial rules = 95
% 0.18/0.37  
% 0.18/0.37  Simplifiers:
% 0.18/0.37  #95: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #96: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #97: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #98: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #99: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #100: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #101: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_xk-{F}(V0), P_xk-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #102: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #103: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #104: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #105: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #106: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #107: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of simplifiers = 13
% 0.18/0.37  
% 0.18/0.37  Learnt:
% 0.18/0.37  #112: mergings( V1 == V3, V2 == V4; #109 ), references = 1, size of lhs = 2:
% 0.18/0.37     P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #115: mergings( V1 == V2; #113 ), references = 1, size of lhs = 1:
% 0.18/0.37     P_sz00-{F}(V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #117: exists( #88, #113 ), references = 1, size of lhs = 0:
% 0.18/0.37     FALSE | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of learnt formulas = 3
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  
% 0.18/0.37  randbase = 1
%------------------------------------------------------------------------------