TSTP Solution File: SYN562-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN562-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:24:58 EDT 2022

% Result   : Unsatisfiable 3.84s 4.00s
% Output   : Refutation 3.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN562-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n015.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 03:19:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 3.84/4.00  GeoParameters:
% 3.84/4.00  
% 3.84/4.00  tptp_input =     1
% 3.84/4.00  tptp_output =    0
% 3.84/4.00  nonempty =       1
% 3.84/4.00  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.84/4.00  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.84/4.00  
% 3.84/4.00  
% 3.84/4.00  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.84/4.00  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.84/4.00  
% 3.84/4.00  RuleSystem INPUT:
% 3.84/4.00  
% 3.84/4.00  Initial Rules:
% 3.84/4.00  #0: input, references = 4, size of lhs = 1:
% 3.84/4.00     #-{F} V0 | p2-{T}(V0,V0)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #1: input, references = 3, size of lhs = 1:
% 3.84/4.00     #-{F} V0 | p6-{T}(V0,V0)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #2: input, references = 4, size of lhs = 1:
% 3.84/4.00     p10-{F}(V0,V0) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #3: input, references = 3, size of lhs = 4:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3) | p2-{T}(V1,V3)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #4: input, references = 3, size of lhs = 5:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4) | p2-{T}(V4,V3)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #5: input, references = 3, size of lhs = 8:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), P_f3-{F}(V5,V7), P_f3-{F}(V6,V8), p2-{F}(V5,V6) | p2-{T}(V7,V8)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #6: input, references = 3, size of lhs = 8:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), P_f9-{F}(V5,V7), P_f9-{F}(V6,V8), p6-{F}(V5,V6) | p2-{T}(V7,V8)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #7: input, references = 3, size of lhs = 8:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), P_f8-{F}(V5,V7), P_f8-{F}(V6,V8), p6-{F}(V5,V6) | p2-{T}(V7,V8)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #8: input, references = 3, size of lhs = 8:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), P_f7-{F}(V5,V7), P_f7-{F}(V6,V8), p6-{F}(V5,V6) | p2-{T}(V7,V8)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #9: input, references = 3, size of lhs = 8:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), P_f5-{F}(V5,V7), P_f5-{F}(V6,V8), p2-{F}(V5,V6) | p2-{T}(V7,V8)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #10: input, references = 3, size of lhs = 8:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), P_f4-{F}(V5,V7), P_f4-{F}(V6,V8), p2-{F}(V5,V6) | p2-{T}(V7,V8)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #11: input, references = 3, size of lhs = 7:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), p2-{F}(V7,V5), p2-{F}(V7,V6) | p2-{T}(V5,V6)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #12: input, references = 3, size of lhs = 7:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), p6-{F}(V7,V5), p6-{F}(V7,V6) | p6-{T}(V5,V6)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #13: input, references = 4, size of lhs = 8:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), p10-{F}(V5,V6), p2-{F}(V6,V7), p2-{F}(V5,V8) | p10-{T}(V8,V7)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #14: input, references = 4, size of lhs = 24:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), P_f7-{F}(V0,V5), P_f5-{F}(V2,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f5-{F}(V14,V15), P_f5-{F}(V15,V16), P_f5-{F}(V16,V17), P_f5-{F}(V17,V18), P_f5-{F}(V18,V19), P_f5-{F}(V19,V20), P_f5-{F}(V20,V21), P_f4-{F}(V21,V22), P_f3-{F}(V22,V23) | p2-{T}(V5,V23)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #15: input, references = 4, size of lhs = 24:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4), P_f7-{F}(V0,V5), P_f5-{F}(V2,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f5-{F}(V14,V15), P_f5-{F}(V15,V16), P_f5-{F}(V16,V17), P_f5-{F}(V17,V18), P_f5-{F}(V18,V19), P_f5-{F}(V19,V20), P_f5-{F}(V20,V21), P_f4-{F}(V21,V22), P_f3-{F}(V22,V23) | p10-{T}(V5,V23)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #16: input, references = 4, size of lhs = 1:
% 3.84/4.00     #-{F} V0 | EXISTS V1: P_f9-{T}(V0,V1)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #17: input, references = 4, size of lhs = 0:
% 3.84/4.00     FALSE | EXISTS V0: P_c11-{T}(V0)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #18: input, references = 5, size of lhs = 1:
% 3.84/4.00     #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #19: input, references = 4, size of lhs = 0:
% 3.84/4.00     FALSE | EXISTS V0: P_c12-{T}(V0)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #20: input, references = 4, size of lhs = 1:
% 3.84/4.00     #-{F} V0 | EXISTS V1: P_f8-{T}(V0,V1)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #21: input, references = 4, size of lhs = 1:
% 3.84/4.00     #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #22: input, references = 19, size of lhs = 1:
% 3.84/4.00     #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #23: input, references = 4, size of lhs = 1:
% 3.84/4.00     #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  number of initial rules = 24
% 3.84/4.00  
% 3.84/4.00  Simplifiers:
% 3.84/4.00  #24: unsound, references = 3, size of lhs = 2:
% 3.84/4.00     p6-{F}(V0,V1), V1 == V0 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #25: unsound, references = 3, size of lhs = 3:
% 3.84/4.00     P_f9-{F}(V0,V1), P_f9-{F}(V0,V3), V1 == V3 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #26: unsound, references = 3, size of lhs = 3:
% 3.84/4.00     P_c11-{F}(V0), P_c11-{F}(V1), V0 == V1 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #27: unsound, references = 3, size of lhs = 3:
% 3.84/4.00     P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #28: unsound, references = 3, size of lhs = 3:
% 3.84/4.00     P_c12-{F}(V0), P_c12-{F}(V1), V0 == V1 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #29: unsound, references = 3, size of lhs = 3:
% 3.84/4.00     P_f8-{F}(V0,V1), P_f8-{F}(V0,V3), V1 == V3 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #30: unsound, references = 3, size of lhs = 3:
% 3.84/4.00     P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #31: unsound, references = 3, size of lhs = 3:
% 3.84/4.00     P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #32: unsound, references = 3, size of lhs = 3:
% 3.84/4.00     P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  number of simplifiers = 9
% 3.84/4.00  
% 3.84/4.00  Learnt:
% 3.84/4.00  #69: mergings( V2 == V24, V3 == V25, V24 == V45, V25 == V46, V4 == V26, V5 == V27, V26 == V47, V27 == V48, V6 == V28, V28 == V49, V8 == V29, V9 == V30, V10 == V31, V11 == V32, V12 == V33, V13 == V34, V14 == V35, V15 == V36, V16 == V37, V17 == V38, V18 == V39, V19 == V40, V20 == V41, V21 == V42, V22 == V43, V23 == V44; #42 ), references = 1, size of lhs = 23:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f5-{F}(V14,V15), P_f5-{F}(V15,V16), P_f5-{F}(V16,V17), P_f5-{F}(V17,V18), P_f5-{F}(V18,V19), P_f4-{F}(V19,V20), P_f3-{F}(V3,V21), P_f8-{F}(V0,V22) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #96: mergings( V2 == V23, V3 == V24, V23 == V43, V24 == V44, V4 == V25, V5 == V26, V25 == V45, V26 == V46, V6 == V27, V27 == V47, V8 == V28, V9 == V29, V10 == V30, V11 == V31, V12 == V32, V13 == V33, V14 == V34, V15 == V35, V16 == V36, V17 == V37, V18 == V38, V19 == V39, V20 == V40, V21 == V41, V22 == V42; #70 ), references = 2, size of lhs = 22:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f5-{F}(V14,V15), P_f5-{F}(V15,V16), P_f5-{F}(V16,V17), P_f5-{F}(V17,V18), P_f5-{F}(V18,V19), P_f3-{F}(V3,V20), P_f8-{F}(V0,V21) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #98: exists( #22, #96 ), references = 1, size of lhs = 21:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f5-{F}(V14,V15), P_f5-{F}(V15,V16), P_f5-{F}(V16,V17), P_f5-{F}(V17,V18), P_f3-{F}(V3,V19), P_f8-{F}(V0,V20) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #100: exists( #22, #97 ), references = 1, size of lhs = 20:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f5-{F}(V14,V15), P_f5-{F}(V15,V16), P_f5-{F}(V16,V17), P_f3-{F}(V3,V18), P_f8-{F}(V0,V19) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #102: exists( #22, #99 ), references = 1, size of lhs = 19:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f5-{F}(V14,V15), P_f5-{F}(V15,V16), P_f3-{F}(V3,V17), P_f8-{F}(V0,V18) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #104: exists( #22, #101 ), references = 1, size of lhs = 18:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f5-{F}(V14,V15), P_f3-{F}(V3,V16), P_f8-{F}(V0,V17) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #106: exists( #22, #103 ), references = 1, size of lhs = 17:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f5-{F}(V13,V14), P_f3-{F}(V3,V15), P_f8-{F}(V0,V16) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #108: exists( #22, #105 ), references = 1, size of lhs = 16:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f5-{F}(V12,V13), P_f3-{F}(V3,V14), P_f8-{F}(V0,V15) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #110: exists( #22, #107 ), references = 1, size of lhs = 15:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f5-{F}(V11,V12), P_f3-{F}(V3,V13), P_f8-{F}(V0,V14) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #112: exists( #22, #109 ), references = 1, size of lhs = 14:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f5-{F}(V10,V11), P_f3-{F}(V3,V12), P_f8-{F}(V0,V13) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #114: exists( #22, #111 ), references = 1, size of lhs = 13:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f5-{F}(V9,V10), P_f3-{F}(V3,V11), P_f8-{F}(V0,V12) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #116: exists( #22, #113 ), references = 1, size of lhs = 12:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f5-{F}(V8,V9), P_f3-{F}(V3,V10), P_f8-{F}(V0,V11) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #118: exists( #22, #115 ), references = 1, size of lhs = 11:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f5-{F}(V7,V8), P_f3-{F}(V3,V9), P_f8-{F}(V0,V10) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #120: exists( #22, #117 ), references = 1, size of lhs = 10:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f5-{F}(V6,V7), P_f3-{F}(V3,V8), P_f8-{F}(V0,V9) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #122: exists( #22, #119 ), references = 1, size of lhs = 9:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f5-{F}(V5,V6), P_f3-{F}(V3,V7), P_f8-{F}(V0,V8) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #124: exists( #22, #121 ), references = 1, size of lhs = 8:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f5-{F}(V4,V5), P_f3-{F}(V3,V6), P_f8-{F}(V0,V7) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #126: exists( #22, #123 ), references = 1, size of lhs = 7:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f5-{F}(V3,V4), P_f3-{F}(V3,V5), P_f8-{F}(V0,V6) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #128: exists( #22, #125 ), references = 1, size of lhs = 6:
% 3.84/4.00     P_c11-{F}(V0), P_f7-{F}(V0,V1), P_f9-{F}(V0,V2), P_c12-{F}(V3), P_f3-{F}(V3,V4), P_f8-{F}(V0,V5) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #130: exists( #21, #127 ), references = 1, size of lhs = 5:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3), P_f8-{F}(V0,V4) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #132: exists( #20, #129 ), references = 1, size of lhs = 4:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2), P_f3-{F}(V2,V3) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #134: exists( #18, #131 ), references = 1, size of lhs = 3:
% 3.84/4.00     P_c11-{F}(V0), P_f9-{F}(V0,V1), P_c12-{F}(V2) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #136: exists( #16, #133 ), references = 1, size of lhs = 2:
% 3.84/4.00     P_c11-{F}(V0), P_c12-{F}(V1) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #138: exists( #19, #135 ), references = 1, size of lhs = 1:
% 3.84/4.00     P_c11-{F}(V0) | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  #140: exists( #17, #137 ), references = 1, size of lhs = 0:
% 3.84/4.00     FALSE | FALSE
% 3.84/4.00        (used 0 times, uses = {})
% 3.84/4.00  
% 3.84/4.00  number of learnt formulas = 24
% 3.84/4.00  
% 3.84/4.00  
% 3.84/4.00  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.84/4.00  
% 3.84/4.00  randbase = 1
%------------------------------------------------------------------------------