TSTP Solution File: SYN613-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n022.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 06:25:05 EDT 2022

% Result   : Unsatisfiable 0.39s 0.55s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.31  % Computer : n022.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Sat Jul 23 03:38:21 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.39/0.55  GeoParameters:
% 0.39/0.55  
% 0.39/0.55  tptp_input =     1
% 0.39/0.55  tptp_output =    0
% 0.39/0.55  nonempty =       1
% 0.39/0.55  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.55  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.39/0.55  
% 0.39/0.55  
% 0.39/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.55  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.55  
% 0.39/0.55  RuleSystem INPUT:
% 0.39/0.55  
% 0.39/0.55  Initial Rules:
% 0.39/0.55  #0: input, references = 5, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | p11-{T}(V0,V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #1: input, references = 3, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | p6-{T}(V0,V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #2: input, references = 3, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | p5-{T}(V0,V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #3: input, references = 4, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | p3-{T}(V0,V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #4: input, references = 3, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | p2-{T}(V0,V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #5: input, references = 4, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | p16-{T}(V0,V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #6: input, references = 4, size of lhs = 4:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3) | p11-{T}(V0,V3)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #7: input, references = 4, size of lhs = 5:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4) | p11-{T}(V4,V3)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #8: input, references = 3, size of lhs = 8:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_f9-{F}(V5,V7), P_f9-{F}(V6,V8), p5-{F}(V5,V6) | p5-{T}(V7,V8)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #9: input, references = 3, size of lhs = 8:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_f12-{F}(V5,V7), P_f12-{F}(V6,V8), p5-{F}(V5,V6) | p11-{T}(V7,V8)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #10: input, references = 3, size of lhs = 8:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_f13-{F}(V5,V7), P_f13-{F}(V6,V8), p11-{F}(V5,V6) | p11-{T}(V7,V8)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #11: input, references = 3, size of lhs = 8:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_f15-{F}(V5,V7), P_f15-{F}(V6,V8), p11-{F}(V5,V6) | p11-{T}(V7,V8)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #12: input, references = 3, size of lhs = 8:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_f4-{F}(V5,V7), P_f4-{F}(V6,V8), p2-{F}(V5,V6) | p3-{T}(V7,V8)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #13: input, references = 3, size of lhs = 8:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_f10-{F}(V5,V7), P_f10-{F}(V6,V8), p2-{F}(V5,V6) | p5-{T}(V7,V8)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #14: input, references = 6, size of lhs = 7:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), p11-{F}(V7,V5), p11-{F}(V7,V6) | p11-{T}(V5,V6)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #15: input, references = 3, size of lhs = 7:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), p6-{F}(V7,V5), p6-{F}(V7,V6) | p6-{T}(V5,V6)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #16: input, references = 3, size of lhs = 7:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), p5-{F}(V7,V5), p5-{F}(V7,V6) | p5-{T}(V5,V6)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #17: input, references = 3, size of lhs = 7:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), p3-{F}(V7,V5), p3-{F}(V7,V6) | p3-{T}(V5,V6)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #18: input, references = 3, size of lhs = 7:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), p2-{F}(V7,V5), p2-{F}(V7,V6) | p2-{T}(V5,V6)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #19: input, references = 3, size of lhs = 7:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), p16-{F}(V7,V5), p16-{F}(V7,V6) | p16-{T}(V5,V6)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #20: input, references = 4, size of lhs = 12:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11) | p17-{T}(V5,V11,V4)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #21: input, references = 4, size of lhs = 13:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), p17-{F}(V5,V11,V0) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #22: input, references = 3, size of lhs = 15:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), p18-{F}(V13,V12), p11-{F}(V12,V14), p11-{F}(V13,V15) | p18-{T}(V15,V14)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #23: input, references = 3, size of lhs = 16:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), p11-{F}(V12,V13), P_f14-{F}(V15,V12,V16), P_f14-{F}(V14,V13,V17), p11-{F}(V15,V14) | p11-{T}(V16,V17)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #24: input, references = 3, size of lhs = 16:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), p5-{F}(V12,V13), P_f8-{F}(V15,V12,V16), P_f8-{F}(V14,V13,V17), p5-{F}(V15,V14) | p6-{T}(V16,V17)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #25: input, references = 3, size of lhs = 16:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), p6-{F}(V12,V13), P_f7-{F}(V15,V12,V16), P_f7-{F}(V14,V13,V17), p5-{F}(V15,V14) | p2-{T}(V16,V17)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #26: input, references = 3, size of lhs = 18:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), P_c25-{F}(V12), P_f14-{F}(V0,V12,V13), P_f13-{F}(V13,V14), P_f14-{F}(V15,V12,V16), P_f13-{F}(V16,V17), p11-{F}(V15,V3) | p18-{T}(V17,V14)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #27: input, references = 3, size of lhs = 20:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), P_c25-{F}(V12), P_f14-{F}(V0,V12,V13), P_f13-{F}(V13,V14), P_f14-{F}(V4,V12,V15), P_f13-{F}(V15,V16), P_f14-{F}(V17,V12,V18), P_f13-{F}(V18,V19), p11-{F}(V17,V3) | p18-{T}(V19,V16)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #28: input, references = 4, size of lhs = 21:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), P_c25-{F}(V12), P_f14-{F}(V0,V12,V13), P_f13-{F}(V13,V14), P_f14-{F}(V4,V12,V15), P_f13-{F}(V15,V16), p17-{F}(V18,V17,V19), p11-{F}(V19,V20), p3-{F}(V17,V21), p16-{F}(V18,V22) | p17-{T}(V22,V21,V20)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #29: input, references = 3, size of lhs = 21:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), P_c25-{F}(V12), P_f14-{F}(V0,V12,V13), P_f13-{F}(V13,V14), P_f14-{F}(V4,V12,V15), P_f13-{F}(V15,V16), P_f4-{F}(V6,V17), P_f15-{F}(V18,V19), p11-{F}(V18,V3), p17-{F}(V5,V17,V18) | p17-{T}(V5,V17,V0), p11-{T}(V19,V3)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #30: input, references = 3, size of lhs = 26:
% 0.39/0.55     P_c23-{F}(V0), P_c21-{F}(V1), P_f9-{F}(V1,V2), P_f12-{F}(V2,V3), P_c24-{F}(V4), P_c19-{F}(V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8), P_f8-{F}(V2,V8,V9), P_f7-{F}(V7,V9,V10), P_f4-{F}(V10,V11), P_c25-{F}(V12), P_f14-{F}(V0,V12,V13), P_f13-{F}(V13,V14), P_f14-{F}(V4,V12,V15), P_f13-{F}(V15,V16), P_f4-{F}(V6,V17), P_f15-{F}(V18,V19), P_f14-{F}(V19,V12,V20), P_f13-{F}(V20,V21), P_f14-{F}(V18,V12,V22), P_f13-{F}(V22,V23), p11-{F}(V18,V3), p17-{F}(V5,V17,V18), p18-{F}(V21,V23) | p17-{T}(V5,V17,V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #31: input, references = 4, size of lhs = 0:
% 0.39/0.55     FALSE | EXISTS V0: P_c23-{T}(V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #32: input, references = 4, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | EXISTS V1: P_f12-{T}(V0,V1)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #33: input, references = 4, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | EXISTS V1: P_f9-{T}(V0,V1)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #34: input, references = 4, size of lhs = 0:
% 0.39/0.55     FALSE | EXISTS V0: P_c21-{T}(V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #35: input, references = 4, size of lhs = 0:
% 0.39/0.55     FALSE | EXISTS V0: P_c24-{T}(V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #36: input, references = 5, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | EXISTS V1: P_f13-{T}(V0,V1)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #37: input, references = 3, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | EXISTS V1: P_f15-{T}(V0,V1)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #38: input, references = 4, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #39: input, references = 4, size of lhs = 1:
% 0.39/0.55     #-{F} V0 | EXISTS V1: P_f10-{T}(V0,V1)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #40: input, references = 4, size of lhs = 0:
% 0.39/0.55     FALSE | EXISTS V0: P_c19-{T}(V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #41: input, references = 4, size of lhs = 2:
% 0.39/0.55     #-{F} V0, #-{F} V1 | EXISTS V2: P_f7-{T}(V0,V1,V2)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #42: input, references = 4, size of lhs = 0:
% 0.39/0.55     FALSE | EXISTS V0: P_c20-{T}(V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #43: input, references = 4, size of lhs = 2:
% 0.39/0.55     #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #44: input, references = 4, size of lhs = 0:
% 0.39/0.55     FALSE | EXISTS V0: P_c22-{T}(V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #45: input, references = 5, size of lhs = 2:
% 0.39/0.55     #-{F} V0, #-{F} V1 | EXISTS V2: P_f14-{T}(V0,V1,V2)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #46: input, references = 4, size of lhs = 0:
% 0.39/0.55     FALSE | EXISTS V0: P_c25-{T}(V0)
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  number of initial rules = 47
% 0.39/0.55  
% 0.39/0.55  Simplifiers:
% 0.39/0.55  #47: unsound, references = 3, size of lhs = 2:
% 0.39/0.55     p16-{F}(V0,V1), V1 == V0 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #48: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     p17-{F}(V0,V1,V2), p17-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #49: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_c23-{F}(V0), P_c23-{F}(V1), V0 == V1 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #50: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f12-{F}(V0,V1), P_f12-{F}(V0,V3), V1 == V3 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #51: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f9-{F}(V0,V1), P_f9-{F}(V0,V3), V1 == V3 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #52: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #53: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_c24-{F}(V0), P_c24-{F}(V1), V0 == V1 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #54: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f13-{F}(V0,V1), P_f13-{F}(V0,V3), V1 == V3 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #55: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f15-{F}(V0,V1), P_f15-{F}(V0,V3), V1 == V3 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #56: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #57: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f10-{F}(V0,V1), P_f10-{F}(V0,V3), V1 == V3 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #58: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_c19-{F}(V0), P_c19-{F}(V1), V0 == V1 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #59: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f7-{F}(V0,V1,V2), P_f7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #60: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #61: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #62: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_c22-{F}(V0), P_c22-{F}(V1), V0 == V1 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #63: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_f14-{F}(V0,V1,V2), P_f14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #64: unsound, references = 3, size of lhs = 3:
% 0.39/0.55     P_c25-{F}(V0), P_c25-{F}(V1), V0 == V1 | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  number of simplifiers = 18
% 0.39/0.55  
% 0.39/0.55  Learnt:
% 0.39/0.55  #81: mergings( V22 == V23, V2 == V17, V3 == V18, V4 == V19, V5 == V20, V6 == V21, V7 == V23, V8 == V24, V9 == V25, V10 == V26, V11 == V27, V12 == V28, V13 == V29; #67 ), references = 1, size of lhs = 20:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), P_f14-{F}(V1,V0,V2), P_c21-{F}(V3), P_f9-{F}(V3,V4), P_f12-{F}(V4,V5), P_c24-{F}(V6), P_f14-{F}(V6,V0,V7), P_f13-{F}(V7,V8), P_c19-{F}(V9), p16-{F}(V9,V9), P_c20-{F}(V10), P_f10-{F}(V10,V11), P_c22-{F}(V12), P_f8-{F}(V4,V12,V13), P_f7-{F}(V11,V13,V14), P_f4-{F}(V14,V15), p3-{F}(V16,V15), p17-{F}(V9,V16,V17), p11-{F}(V17,V1) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #96: mergings( V21 == V22, V0 == V16, V3 == V17, V4 == V18, V5 == V19, V6 == V20, V7 == V22, V8 == V23, V9 == V24, V10 == V25, V11 == V26, V12 == V27, V13 == V28; #82 ), references = 2, size of lhs = 19:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), P_c21-{F}(V2), P_f9-{F}(V2,V3), P_f12-{F}(V3,V4), P_c24-{F}(V5), P_f14-{F}(V5,V0,V6), P_f13-{F}(V6,V7), P_c19-{F}(V8), p16-{F}(V8,V8), P_c20-{F}(V9), P_f10-{F}(V9,V10), P_c22-{F}(V11), P_f8-{F}(V3,V11,V12), P_f7-{F}(V10,V12,V13), P_f4-{F}(V13,V14), p3-{F}(V15,V14), p17-{F}(V8,V15,V16), p11-{F}(V16,V1) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #115: mergings( V2 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V20, V8 == V21, V9 == V22, V10 == V23; #104 ), references = 1, size of lhs = 16:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), P_c21-{F}(V2), P_f9-{F}(V2,V3), P_f12-{F}(V3,V4), P_c24-{F}(V5), p11-{F}(V5,V1), P_f14-{F}(V5,V0,V6), P_f13-{F}(V6,V7), P_c19-{F}(V8), p16-{F}(V8,V8), P_c20-{F}(V9), P_f10-{F}(V9,V10), P_c22-{F}(V11), P_f8-{F}(V3,V11,V12), P_f7-{F}(V10,V12,V13) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #124: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15, V8 == V19, V9 == V20; #116 ), references = 2, size of lhs = 15:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), P_c21-{F}(V2), P_f9-{F}(V2,V3), P_f12-{F}(V3,V4), P_c24-{F}(V5), p11-{F}(V5,V1), P_f14-{F}(V5,V0,V6), P_f13-{F}(V6,V7), P_c19-{F}(V8), p16-{F}(V8,V8), P_c20-{F}(V9), P_f10-{F}(V9,V10), P_c22-{F}(V11), P_f8-{F}(V3,V11,V12) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #133: mergings( V2 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V18, V9 == V19; #125 ), references = 2, size of lhs = 14:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), P_c21-{F}(V2), P_f9-{F}(V2,V3), P_f12-{F}(V3,V4), P_c24-{F}(V5), p11-{F}(V5,V1), P_f14-{F}(V5,V0,V6), P_c19-{F}(V7), p16-{F}(V7,V7), P_c20-{F}(V8), P_f10-{F}(V8,V9), P_c22-{F}(V10), P_f8-{F}(V3,V10,V11) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #137: exists( #43, #133 ), references = 2, size of lhs = 13:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), P_c21-{F}(V2), P_f9-{F}(V2,V3), P_f12-{F}(V3,V4), P_c24-{F}(V5), p11-{F}(V5,V1), P_f14-{F}(V5,V0,V6), P_c19-{F}(V7), p16-{F}(V7,V7), P_c20-{F}(V8), P_f10-{F}(V8,V9), P_c22-{F}(V10) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #138: exists( #43, #124 ), references = 1, size of lhs = 14:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), P_c21-{F}(V2), P_f9-{F}(V2,V3), P_f12-{F}(V3,V4), P_c24-{F}(V5), p11-{F}(V5,V1), P_f14-{F}(V5,V0,V6), P_f13-{F}(V6,V7), P_c19-{F}(V8), p16-{F}(V8,V8), P_c20-{F}(V9), P_f10-{F}(V9,V10), P_c22-{F}(V11) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #171: mergings( V2 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V17, V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V19, V6 == V9, V9 == V12, V12 == V15, V15 == V18; #155 ), references = 1, size of lhs = 13:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), p11-{F}(V1,V1), P_c24-{F}(V2), p11-{F}(V2,V2), P_c21-{F}(V3), P_f9-{F}(V3,V4), P_f14-{F}(V2,V0,V5), P_c19-{F}(V6), p16-{F}(V6,V6), P_c20-{F}(V7), P_f10-{F}(V7,V8), P_c22-{F}(V9) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #182: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #172 ), references = 1, size of lhs = 12:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), p11-{F}(V1,V1), P_c24-{F}(V2), p11-{F}(V2,V2), P_c21-{F}(V3), P_f14-{F}(V2,V0,V4), P_c19-{F}(V5), p16-{F}(V5,V5), P_c20-{F}(V6), P_f10-{F}(V6,V7), P_c22-{F}(V8) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #193: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V11 == V0; #183 ), references = 1, size of lhs = 11:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), p11-{F}(V1,V1), P_c24-{F}(V2), p11-{F}(V2,V2), P_c21-{F}(V3), P_c19-{F}(V4), p16-{F}(V4,V4), P_c20-{F}(V5), P_f10-{F}(V5,V6), P_c22-{F}(V7) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #204: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #194 ), references = 1, size of lhs = 10:
% 0.39/0.55     P_c25-{F}(V0), P_c23-{F}(V1), p11-{F}(V1,V1), P_c24-{F}(V2), p11-{F}(V2,V2), P_c21-{F}(V3), P_c19-{F}(V4), p16-{F}(V4,V4), P_c20-{F}(V5), P_c22-{F}(V6) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #215: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #205 ), references = 1, size of lhs = 9:
% 0.39/0.55     P_c23-{F}(V0), p11-{F}(V0,V0), P_c24-{F}(V1), p11-{F}(V1,V1), P_c21-{F}(V2), P_c19-{F}(V3), p16-{F}(V3,V3), P_c20-{F}(V4), P_c22-{F}(V5) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #226: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #216 ), references = 1, size of lhs = 8:
% 0.39/0.55     P_c23-{F}(V0), p11-{F}(V0,V0), P_c24-{F}(V1), p11-{F}(V1,V1), P_c21-{F}(V2), P_c19-{F}(V3), p16-{F}(V3,V3), P_c20-{F}(V4) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #237: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #227 ), references = 2, size of lhs = 7:
% 0.39/0.55     P_c23-{F}(V0), p11-{F}(V0,V0), P_c24-{F}(V1), p11-{F}(V1,V1), P_c21-{F}(V2), P_c19-{F}(V3), p16-{F}(V3,V3) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #240: exists( #40, #238 ), references = 2, size of lhs = 5:
% 0.39/0.55     P_c23-{F}(V0), p11-{F}(V0,V0), P_c24-{F}(V1), p11-{F}(V1,V1), P_c21-{F}(V2) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #243: exists( #35, #241 ), references = 1, size of lhs = 3:
% 0.39/0.55     P_c23-{F}(V0), p11-{F}(V0,V0), P_c21-{F}(V1) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #245: exists( #34, #242 ), references = 1, size of lhs = 2:
% 0.39/0.55     P_c23-{F}(V0), p11-{F}(V0,V0) | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  #248: exists( #31, #246 ), references = 1, size of lhs = 0:
% 0.39/0.55     FALSE | FALSE
% 0.39/0.55        (used 0 times, uses = {})
% 0.39/0.55  
% 0.39/0.55  number of learnt formulas = 18
% 0.39/0.55  
% 0.39/0.55  
% 0.39/0.55  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.55  
% 0.39/0.55  randbase = 1
%------------------------------------------------------------------------------