TSTP Solution File: PUZ037-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n028.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 06:14:21 EDT 2022

% Result   : Unsatisfiable 7.07s 11.46s
% Output   : Refutation 7.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/4.31  % Problem  : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% 0.11/4.32  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.14/4.53  % Computer : n028.cluster.edu
% 0.14/4.53  % Model    : x86_64 x86_64
% 0.14/4.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/4.53  % Memory   : 8042.1875MB
% 0.14/4.53  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/4.53  % CPULimit : 300
% 0.14/4.53  % WCLimit  : 300
% 0.14/4.53  % DateTime : Fri Jul 22 07:09:53 EDT 2022
% 0.14/4.53  % CPUTime  : 
% 7.07/11.46  GeoParameters:
% 7.07/11.46  
% 7.07/11.46  tptp_input =     1
% 7.07/11.46  tptp_output =    0
% 7.07/11.46  nonempty =       1
% 7.07/11.46  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.07/11.46  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 7.07/11.46  
% 7.07/11.46  
% 7.07/11.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.07/11.46  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.07/11.46  
% 7.07/11.46  RuleSystem INPUT:
% 7.07/11.46  
% 7.07/11.46  Initial Rules:
% 7.07/11.46  #0: input, references = 4, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V0,V0,V0,V0,V0,V0,V0,V0,V0,V1,V1,V1,V2,V2,V2,V3,V3,V3,V4,V4,V4,V1,V1,V1,V2,V2,V2,V3,V3,V3,V4,V4,V4,V1,V1,V1,V2,V2,V2,V3,V3,V3,V4,V4,V4,V5,V5,V5,V5,V5,V5,V5,V5,V5) | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #1: input, references = 4, size of lhs = 6:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5) | state-{T}(V0,V0,V0,V0,V0,V0,V0,V0,V0,V1,V1,V1,V2,V2,V2,V3,V3,V3,V4,V4,V4,V2,V2,V2,V3,V3,V3,V4,V4,V4,V1,V1,V1,V1,V1,V1,V2,V2,V2,V3,V3,V3,V4,V4,V4,V5,V5,V5,V5,V5,V5,V5,V5,V5)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #2: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V59) | state-{T}(V12,V9,V6,V13,V10,V7,V14,V11,V8,V18,V19,V20,V21,V22,V23,V24,V25,V26,V15,V16,V17,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #3: input, references = 6, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V59) | state-{T}(V6,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V10,V11,V12,V13,V14,V15,V16,V17,V18,V7,V8,V9,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #4: input, references = 7, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V10,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V15,V16,V17,V18,V19,V20,V21,V22,V23,V24,V25,V26,V6,V9,V12,V7,V59,V13,V8,V11,V14) | state-{T}(V10,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V18,V19,V20,V21,V22,V23,V24,V25,V26,V15,V16,V17,V12,V13,V14,V9,V59,V11,V6,V7,V8)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #5: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V16,V17,V18,V19,V20,V48,V49,V10,V21,V22,V7,V50,V51,V11,V13,V23,V24,V25,V26,V27,V28,V29,V8,V52,V53,V12,V14,V30,V31,V32,V33,V34,V35,V36,V9,V54,V55,V56,V15,V37,V38,V39,V40,V41,V57,V58,V59,V42,V43,V44,V45,V46,V47) | state-{T}(V6,V16,V17,V18,V19,V20,V13,V14,V15,V21,V22,V10,V11,V12,V56,V59,V23,V24,V25,V26,V27,V28,V29,V49,V51,V53,V55,V58,V30,V31,V32,V33,V34,V35,V36,V48,V50,V52,V54,V57,V37,V38,V39,V40,V41,V7,V8,V9,V42,V43,V44,V45,V46,V47)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #6: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V19,V20,V7,V8,V9,V21,V22,V23,V24,V18,V25,V26,V27,V28,V29,V10,V30,V31,V32,V33,V34,V17,V35,V36,V37,V38,V39,V11,V40,V41,V42,V43,V44,V16,V45,V46,V47,V48,V49,V12,V50,V51,V52,V53,V54,V55,V56,V15,V14,V13,V57,V58,V59) | state-{T}(V6,V19,V20,V10,V11,V12,V21,V22,V23,V24,V9,V25,V26,V27,V28,V29,V13,V30,V31,V32,V33,V34,V8,V35,V36,V37,V38,V39,V14,V40,V41,V42,V43,V44,V7,V45,V46,V47,V48,V49,V15,V50,V51,V52,V53,V54,V55,V56,V18,V17,V16,V57,V58,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #7: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V15,V16,V17,V10,V27,V28,V29,V30,V31,V26,V32,V33,V34,V35,V36,V37,V38,V18,V12,V9,V6,V25,V39,V40,V41,V42,V43,V44,V45,V19,V13,V46,V7,V24,V47,V48,V49,V50,V51,V52,V53,V20,V14,V11,V8,V54,V55,V56,V57,V58,V59,V23,V22,V21) | state-{T}(V18,V19,V20,V10,V27,V28,V29,V30,V31,V17,V32,V33,V34,V35,V36,V37,V38,V21,V14,V13,V12,V16,V39,V40,V41,V42,V43,V44,V45,V22,V11,V46,V9,V15,V47,V48,V49,V50,V51,V52,V53,V23,V8,V7,V6,V54,V55,V56,V57,V58,V59,V26,V25,V24)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #8: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V15,V10,V27,V16,V28,V29,V17,V30,V31,V6,V9,V12,V18,V32,V33,V34,V35,V36,V37,V38,V26,V7,V39,V13,V19,V40,V41,V42,V43,V44,V45,V46,V25,V8,V11,V14,V20,V47,V48,V49,V50,V51,V52,V53,V24,V21,V54,V55,V22,V56,V57,V23,V58,V59) | state-{T}(V18,V10,V27,V19,V28,V29,V20,V30,V31,V12,V13,V14,V21,V32,V33,V34,V35,V36,V37,V38,V17,V9,V39,V11,V22,V40,V41,V42,V43,V44,V45,V46,V16,V6,V7,V8,V23,V47,V48,V49,V50,V51,V52,V53,V15,V24,V54,V55,V25,V56,V57,V26,V58,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #9: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V7,V19,V20,V8,V21,V22,V9,V23,V24,V25,V26,V27,V10,V28,V29,V30,V31,V32,V18,V33,V34,V35,V36,V37,V11,V38,V39,V40,V41,V42,V17,V43,V44,V45,V46,V47,V12,V48,V49,V50,V51,V52,V16,V53,V54,V13,V55,V56,V14,V57,V58,V15,V59) | state-{T}(V6,V10,V19,V20,V11,V21,V22,V12,V23,V24,V25,V26,V27,V13,V28,V29,V30,V31,V32,V9,V33,V34,V35,V36,V37,V14,V38,V39,V40,V41,V42,V8,V43,V44,V45,V46,V47,V15,V48,V49,V50,V51,V52,V7,V53,V54,V16,V55,V56,V17,V57,V58,V18,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #10: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V10,V27,V15,V28,V29,V16,V30,V31,V17,V32,V33,V34,V35,V36,V18,V12,V9,V6,V26,V37,V38,V39,V40,V41,V42,V43,V19,V13,V44,V7,V25,V45,V46,V47,V48,V49,V50,V51,V20,V14,V11,V8,V24,V52,V53,V54,V55,V21,V56,V57,V22,V58,V59,V23) | state-{T}(V10,V27,V18,V28,V29,V19,V30,V31,V20,V32,V33,V34,V35,V36,V21,V14,V13,V12,V17,V37,V38,V39,V40,V41,V42,V43,V22,V11,V44,V9,V16,V45,V46,V47,V48,V49,V50,V51,V23,V8,V7,V6,V15,V52,V53,V54,V55,V24,V56,V57,V25,V58,V59,V26)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #11: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V12,V9,V6,V13,V10,V7,V14,V11,V8,V18,V19,V20,V21,V22,V23,V24,V25,V26,V15,V16,V17,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V59) | state-{T}(V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #12: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V10,V11,V12,V13,V14,V15,V16,V17,V18,V7,V8,V9,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V59) | state-{T}(V6,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #13: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V10,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V18,V19,V20,V21,V22,V23,V24,V25,V26,V15,V16,V17,V12,V13,V14,V9,V59,V11,V6,V7,V8) | state-{T}(V10,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53,V54,V55,V56,V57,V58,V15,V16,V17,V18,V19,V20,V21,V22,V23,V24,V25,V26,V6,V9,V12,V7,V59,V13,V8,V11,V14)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #14: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V16,V17,V18,V19,V20,V13,V14,V15,V21,V22,V10,V11,V12,V56,V59,V23,V24,V25,V26,V27,V28,V29,V49,V51,V53,V55,V58,V30,V31,V32,V33,V34,V35,V36,V48,V50,V52,V54,V57,V37,V38,V39,V40,V41,V7,V8,V9,V42,V43,V44,V45,V46,V47) | state-{T}(V6,V16,V17,V18,V19,V20,V48,V49,V10,V21,V22,V7,V50,V51,V11,V13,V23,V24,V25,V26,V27,V28,V29,V8,V52,V53,V12,V14,V30,V31,V32,V33,V34,V35,V36,V9,V54,V55,V56,V15,V37,V38,V39,V40,V41,V57,V58,V59,V42,V43,V44,V45,V46,V47)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #15: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V19,V20,V10,V11,V12,V21,V22,V23,V24,V9,V25,V26,V27,V28,V29,V13,V30,V31,V32,V33,V34,V8,V35,V36,V37,V38,V39,V14,V40,V41,V42,V43,V44,V7,V45,V46,V47,V48,V49,V15,V50,V51,V52,V53,V54,V55,V56,V18,V17,V16,V57,V58,V59) | state-{T}(V6,V19,V20,V7,V8,V9,V21,V22,V23,V24,V18,V25,V26,V27,V28,V29,V10,V30,V31,V32,V33,V34,V17,V35,V36,V37,V38,V39,V11,V40,V41,V42,V43,V44,V16,V45,V46,V47,V48,V49,V12,V50,V51,V52,V53,V54,V55,V56,V15,V14,V13,V57,V58,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #16: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V18,V19,V20,V10,V27,V28,V29,V30,V31,V17,V32,V33,V34,V35,V36,V37,V38,V21,V14,V13,V12,V16,V39,V40,V41,V42,V43,V44,V45,V22,V11,V46,V9,V15,V47,V48,V49,V50,V51,V52,V53,V23,V8,V7,V6,V54,V55,V56,V57,V58,V59,V26,V25,V24) | state-{T}(V15,V16,V17,V10,V27,V28,V29,V30,V31,V26,V32,V33,V34,V35,V36,V37,V38,V18,V12,V9,V6,V25,V39,V40,V41,V42,V43,V44,V45,V19,V13,V46,V7,V24,V47,V48,V49,V50,V51,V52,V53,V20,V14,V11,V8,V54,V55,V56,V57,V58,V59,V23,V22,V21)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #17: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V18,V10,V27,V19,V28,V29,V20,V30,V31,V12,V13,V14,V21,V32,V33,V34,V35,V36,V37,V38,V17,V9,V39,V11,V22,V40,V41,V42,V43,V44,V45,V46,V16,V6,V7,V8,V23,V47,V48,V49,V50,V51,V52,V53,V15,V24,V54,V55,V25,V56,V57,V26,V58,V59) | state-{T}(V15,V10,V27,V16,V28,V29,V17,V30,V31,V6,V9,V12,V18,V32,V33,V34,V35,V36,V37,V38,V26,V7,V39,V13,V19,V40,V41,V42,V43,V44,V45,V46,V25,V8,V11,V14,V20,V47,V48,V49,V50,V51,V52,V53,V24,V21,V54,V55,V22,V56,V57,V23,V58,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #18: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V6,V10,V19,V20,V11,V21,V22,V12,V23,V24,V25,V26,V27,V13,V28,V29,V30,V31,V32,V9,V33,V34,V35,V36,V37,V14,V38,V39,V40,V41,V42,V8,V43,V44,V45,V46,V47,V15,V48,V49,V50,V51,V52,V7,V53,V54,V16,V55,V56,V17,V57,V58,V18,V59) | state-{T}(V6,V7,V19,V20,V8,V21,V22,V9,V23,V24,V25,V26,V27,V10,V28,V29,V30,V31,V32,V18,V33,V34,V35,V36,V37,V11,V38,V39,V40,V41,V42,V17,V43,V44,V45,V46,V47,V12,V48,V49,V50,V51,V52,V16,V53,V54,V13,V55,V56,V14,V57,V58,V15,V59)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #19: input, references = 3, size of lhs = 7:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4), P_w-{F}(V5), state-{F}(V10,V27,V18,V28,V29,V19,V30,V31,V20,V32,V33,V34,V35,V36,V21,V14,V13,V12,V17,V37,V38,V39,V40,V41,V42,V43,V22,V11,V44,V9,V16,V45,V46,V47,V48,V49,V50,V51,V23,V8,V7,V6,V15,V52,V53,V54,V55,V24,V56,V57,V25,V58,V59,V26) | state-{T}(V10,V27,V15,V28,V29,V16,V30,V31,V17,V32,V33,V34,V35,V36,V18,V12,V9,V6,V26,V37,V38,V39,V40,V41,V42,V43,V19,V13,V44,V7,V25,V45,V46,V47,V48,V49,V50,V51,V20,V14,V11,V8,V24,V52,V53,V54,V55,V21,V56,V57,V22,V58,V59,V23)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #20: input, references = 4, size of lhs = 0:
% 7.07/11.46     FALSE | EXISTS V0: P_b-{T}(V0)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #21: input, references = 4, size of lhs = 0:
% 7.07/11.46     FALSE | EXISTS V0: P_r-{T}(V0)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #22: input, references = 4, size of lhs = 0:
% 7.07/11.46     FALSE | EXISTS V0: P_g-{T}(V0)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #23: input, references = 4, size of lhs = 0:
% 7.07/11.46     FALSE | EXISTS V0: P_o-{T}(V0)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #24: input, references = 4, size of lhs = 0:
% 7.07/11.46     FALSE | EXISTS V0: P_y-{T}(V0)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #25: input, references = 4, size of lhs = 0:
% 7.07/11.46     FALSE | EXISTS V0: P_w-{T}(V0)
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  number of initial rules = 26
% 7.07/11.46  
% 7.07/11.46  Simplifiers:
% 7.07/11.46  #26: unsound, references = 3, size of lhs = 3:
% 7.07/11.46     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #27: unsound, references = 3, size of lhs = 3:
% 7.07/11.46     P_r-{F}(V0), P_r-{F}(V1), V0 == V1 | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #28: unsound, references = 3, size of lhs = 3:
% 7.07/11.46     P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #29: unsound, references = 3, size of lhs = 3:
% 7.07/11.46     P_o-{F}(V0), P_o-{F}(V1), V0 == V1 | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #30: unsound, references = 3, size of lhs = 3:
% 7.07/11.46     P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #31: unsound, references = 3, size of lhs = 3:
% 7.07/11.46     P_w-{F}(V0), P_w-{F}(V1), V0 == V1 | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  number of simplifiers = 6
% 7.07/11.46  
% 7.07/11.46  Learnt:
% 7.07/11.46  #76: mergings( V1 == V6, V6 == V11, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V36, V2 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V37, V3 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V33 == V38, V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V34, V34 == V39, V5 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V30, V30 == V35, V35 == V40; #40 ), references = 1, size of lhs = 5:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3), P_y-{F}(V4) | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #106: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V2 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V26 == V30, V3 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32; #77 ), references = 1, size of lhs = 4:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2), P_o-{F}(V3) | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #129: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24; #107 ), references = 1, size of lhs = 3:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1), P_g-{F}(V2) | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #145: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #130 ), references = 1, size of lhs = 2:
% 7.07/11.46     P_b-{F}(V0), P_r-{F}(V1) | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #154: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #146 ), references = 1, size of lhs = 1:
% 7.07/11.46     P_b-{F}(V0) | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  #156: exists( #20, #146 ), references = 1, size of lhs = 0:
% 7.07/11.46     FALSE | FALSE
% 7.07/11.46        (used 0 times, uses = {})
% 7.07/11.46  
% 7.07/11.46  number of learnt formulas = 6
% 7.07/11.46  
% 7.07/11.46  
% 7.07/11.46  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.07/11.46  
% 7.07/11.46  randbase = 1
%------------------------------------------------------------------------------