TSTP Solution File: SYN584-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN584-1 : 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 06:25:00 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN584-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Jul 23 03:21:22 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.49  GeoParameters:
% 0.18/0.49  
% 0.18/0.49  tptp_input =     1
% 0.18/0.49  tptp_output =    0
% 0.18/0.49  nonempty =       1
% 0.18/0.49  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  
% 0.18/0.49  RuleSystem INPUT:
% 0.18/0.49  
% 0.18/0.49  Initial Rules:
% 0.18/0.49  #0: input, references = 4, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | p12-{T}(V0,V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #1: input, references = 3, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | p6-{T}(V0,V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #2: input, references = 3, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | p5-{T}(V0,V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #3: input, references = 4, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | p3-{T}(V0,V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #4: input, references = 3, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | p2-{T}(V0,V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #5: input, references = 3, size of lhs = 3:
% 0.18/0.49     P_f11-{F}(V0,V2), P_f11-{F}(V1,V3), p5-{F}(V0,V1) | p5-{T}(V2,V3)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #6: input, references = 3, size of lhs = 3:
% 0.18/0.49     P_f4-{F}(V0,V2), P_f4-{F}(V1,V3), p2-{F}(V0,V1) | p3-{T}(V2,V3)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #7: input, references = 3, size of lhs = 3:
% 0.18/0.49     P_f10-{F}(V0,V2), P_f10-{F}(V1,V3), p5-{F}(V0,V1) | p5-{T}(V2,V3)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #8: input, references = 4, size of lhs = 2:
% 0.18/0.49     p12-{F}(V2,V0), p12-{F}(V2,V1) | p12-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #9: input, references = 3, size of lhs = 2:
% 0.18/0.49     p6-{F}(V2,V0), p6-{F}(V2,V1) | p6-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #10: input, references = 3, size of lhs = 2:
% 0.18/0.49     p5-{F}(V2,V0), p5-{F}(V2,V1) | p5-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #11: input, references = 3, size of lhs = 2:
% 0.18/0.49     p3-{F}(V2,V0), p3-{F}(V2,V1) | p3-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #12: input, references = 3, size of lhs = 2:
% 0.18/0.49     p2-{F}(V2,V0), p2-{F}(V2,V1) | p2-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #13: input, references = 3, size of lhs = 3:
% 0.18/0.49     p16-{F}(V1,V0), p12-{F}(V0,V2), p12-{F}(V1,V3) | p16-{T}(V3,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #14: input, references = 4, size of lhs = 3:
% 0.18/0.49     p15-{F}(V0,V1), p3-{F}(V1,V2), p12-{F}(V0,V3) | p15-{T}(V3,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #15: input, references = 3, size of lhs = 4:
% 0.18/0.49     p12-{F}(V0,V1), P_f13-{F}(V3,V0,V4), P_f13-{F}(V2,V1,V5), p12-{F}(V3,V2) | p12-{T}(V4,V5)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #16: input, references = 3, size of lhs = 4:
% 0.18/0.49     p5-{F}(V0,V1), P_f8-{F}(V3,V0,V4), P_f8-{F}(V2,V1,V5), p5-{F}(V3,V2) | p6-{T}(V4,V5)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #17: input, references = 3, size of lhs = 4:
% 0.18/0.49     p5-{F}(V0,V1), P_f9-{F}(V3,V0,V4), P_f9-{F}(V2,V1,V5), p5-{F}(V3,V2) | p5-{T}(V4,V5)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #18: input, references = 3, size of lhs = 4:
% 0.18/0.49     p6-{F}(V0,V1), P_f7-{F}(V3,V0,V4), P_f7-{F}(V2,V1,V5), p5-{F}(V3,V2) | p2-{T}(V4,V5)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #19: input, references = 3, size of lhs = 4:
% 0.18/0.49     p12-{F}(V0,V1), P_f14-{F}(V3,V0,V4), P_f14-{F}(V2,V1,V5), p2-{F}(V3,V2) | p12-{T}(V4,V5)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #20: input, references = 4, size of lhs = 12:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_f7-{F}(V1,V9,V10), P_f4-{F}(V10,V11) | p15-{T}(V0,V11)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #21: input, references = 3, size of lhs = 13:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_f7-{F}(V1,V9,V10), P_f4-{F}(V10,V11), P_c17-{F}(V12) | p15-{T}(V12,V11)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #22: input, references = 4, size of lhs = 15:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_f7-{F}(V1,V9,V10), P_f4-{F}(V10,V11), P_c17-{F}(V12), P_f14-{F}(V10,V12,V13), P_f13-{F}(V12,V13,V14) | p12-{T}(V14,V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #23: input, references = 3, size of lhs = 18:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_f7-{F}(V1,V9,V10), P_f4-{F}(V10,V11), P_c17-{F}(V12), P_f14-{F}(V10,V12,V13), P_f13-{F}(V12,V13,V14), p16-{F}(V15,V12), p16-{F}(V0,V15), p15-{F}(V15,V11) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #24: input, references = 4, size of lhs = 16:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_f7-{F}(V1,V9,V10), P_f4-{F}(V10,V11), P_c17-{F}(V12), P_f14-{F}(V10,V12,V13), P_f13-{F}(V12,V13,V14), p15-{F}(V14,V11) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #25: input, references = 5, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | EXISTS V1: P_f11-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #26: input, references = 4, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #27: input, references = 5, size of lhs = 1:
% 0.18/0.49     #-{F} V0 | EXISTS V1: P_f10-{T}(V0,V1)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #28: input, references = 4, size of lhs = 2:
% 0.18/0.49     #-{F} V0, #-{F} V1 | EXISTS V2: P_f13-{T}(V0,V1,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #29: input, references = 4, size of lhs = 2:
% 0.18/0.49     #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #30: input, references = 6, size of lhs = 2:
% 0.18/0.49     #-{F} V0, #-{F} V1 | EXISTS V2: P_f9-{T}(V0,V1,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #31: input, references = 4, size of lhs = 2:
% 0.18/0.49     #-{F} V0, #-{F} V1 | EXISTS V2: P_f7-{T}(V0,V1,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #32: input, references = 4, size of lhs = 2:
% 0.18/0.49     #-{F} V0, #-{F} V1 | EXISTS V2: P_f14-{T}(V0,V1,V2)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #33: input, references = 4, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_c22-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #34: input, references = 4, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_c18-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #35: input, references = 4, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_c19-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #36: input, references = 4, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_c20-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #37: input, references = 4, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_c21-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #38: input, references = 5, size of lhs = 0:
% 0.18/0.49     FALSE | EXISTS V0: P_c17-{T}(V0)
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  number of initial rules = 39
% 0.18/0.49  
% 0.18/0.49  Simplifiers:
% 0.18/0.49  #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_f11-{F}(V0,V1), P_f11-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_f10-{F}(V0,V1), P_f10-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #42: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_f13-{F}(V0,V1,V2), P_f13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #43: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_f9-{F}(V0,V1,V2), P_f9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_f7-{F}(V0,V1,V2), P_f7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_f14-{F}(V0,V1,V2), P_f14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_c22-{F}(V0), P_c22-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_c18-{F}(V0), P_c18-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_c19-{F}(V0), P_c19-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.49     P_c17-{F}(V0), P_c17-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  number of simplifiers = 14
% 0.18/0.49  
% 0.18/0.49  Learnt:
% 0.18/0.49  #70: mergings( V3 == V15, V4 == V16, V5 == V17, V6 == V18, V7 == V19, V8 == V20, V9 == V21, V10 == V22, V11 == V23, V12 == V24, V13 == V25, V14 == V26; #57 ), references = 1, size of lhs = 16:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_f7-{F}(V1,V9,V10), P_f4-{F}(V10,V11), P_c17-{F}(V12), P_f14-{F}(V10,V12,V13), p15-{F}(V0,V14), p3-{F}(V14,V11) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #83: mergings( V13 == V24, V3 == V14, V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20, V10 == V21, V11 == V22, V12 == V23; #71 ), references = 2, size of lhs = 15:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_f7-{F}(V1,V9,V10), P_f4-{F}(V10,V11), P_c17-{F}(V12), p15-{F}(V0,V13), p3-{F}(V13,V11) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #98: mergings( V2 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V17, V8 == V18, V9 == V19, V10 == V20; #88 ), references = 1, size of lhs = 12:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_f7-{F}(V1,V9,V10), P_c17-{F}(V11) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #107: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15, V8 == V16, V9 == V17; #99 ), references = 2, size of lhs = 11:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_f8-{F}(V6,V8,V9), P_c17-{F}(V10) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #109: exists( #29, #107 ), references = 2, size of lhs = 10:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_f9-{F}(V7,V5,V8), P_c17-{F}(V9) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #111: exists( #30, #108 ), references = 1, size of lhs = 8:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c21-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_c17-{F}(V6) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #113: exists( #27, #110 ), references = 1, size of lhs = 7:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c21-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_c17-{F}(V5) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #115: exists( #25, #112 ), references = 1, size of lhs = 6:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c21-{F}(V2), P_c20-{F}(V3), P_c17-{F}(V4) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #117: exists( #38, #114 ), references = 1, size of lhs = 5:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c21-{F}(V2), P_c20-{F}(V3) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #119: exists( #30, #109 ), references = 1, size of lhs = 9:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_f9-{F}(V2,V5,V6), P_c21-{F}(V7), P_c17-{F}(V8) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #121: exists( #30, #118 ), references = 1, size of lhs = 8:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_f10-{F}(V4,V5), P_c21-{F}(V6), P_c17-{F}(V7) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #123: exists( #27, #120 ), references = 1, size of lhs = 7:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_f11-{F}(V3,V4), P_c21-{F}(V5), P_c17-{F}(V6) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #125: exists( #25, #122 ), references = 1, size of lhs = 6:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_c21-{F}(V4), P_c17-{F}(V5) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #127: exists( #38, #124 ), references = 1, size of lhs = 5:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3), P_c21-{F}(V4) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #129: exists( #37, #126 ), references = 1, size of lhs = 4:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2), P_c20-{F}(V3) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #131: exists( #36, #128 ), references = 1, size of lhs = 3:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1), P_c19-{F}(V2) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #133: exists( #35, #130 ), references = 1, size of lhs = 2:
% 0.18/0.49     P_c22-{F}(V0), P_c18-{F}(V1) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #135: exists( #34, #132 ), references = 1, size of lhs = 1:
% 0.18/0.49     P_c22-{F}(V0) | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  #137: exists( #33, #134 ), references = 1, size of lhs = 0:
% 0.18/0.49     FALSE | FALSE
% 0.18/0.49        (used 0 times, uses = {})
% 0.18/0.49  
% 0.18/0.49  number of learnt formulas = 19
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  
% 0.18/0.49  randbase = 1
%------------------------------------------------------------------------------