TSTP Solution File: SYN311-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN311-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n004.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 06:24:18 EDT 2022

% Result   : Unsatisfiable 1.65s 1.81s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN311-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n004.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 03:04:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.65/1.81  GeoParameters:
% 1.65/1.81  
% 1.65/1.81  tptp_input =     1
% 1.65/1.81  tptp_output =    0
% 1.65/1.81  nonempty =       1
% 1.65/1.81  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.81  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.65/1.81  
% 1.65/1.81  
% 1.65/1.81  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.81  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.81  
% 1.65/1.81  RuleSystem INPUT:
% 1.65/1.81  
% 1.65/1.81  Initial Rules:
% 1.65/1.81  #0: input, references = 18, size of lhs = 1:
% 1.65/1.81     p-{F}(V1,V2,V3,V0) | p-{T}(V0,V1,V2,V3)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #1: input, references = 7, size of lhs = 1:
% 1.65/1.81     p-{F}(V1,V2,V3,V0) | p-{T}(V0,V3,V2,V1)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #2: input, references = 11, size of lhs = 2:
% 1.65/1.81     P_g-{F}(V0,V4), p-{F}(V1,V2,V3,V0) | p-{T}(V1,V2,V3,V4)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #3: input, references = 11, size of lhs = 2:
% 1.65/1.81     P_f-{F}(V1,V4), p-{F}(V1,V2,V3,V0) | p-{T}(V4,V2,V3,V0)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #4: input, references = 6, size of lhs = 4:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3) | p-{T}(V0,V1,V2,V3)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #5: input, references = 5, size of lhs = 13:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_f-{F}(V4,V5), P_g-{F}(V2,V6), P_f-{F}(V6,V7), P_g-{F}(V1,V8), P_f-{F}(V8,V9), P_g-{F}(V0,V10), P_f-{F}(V10,V11), p-{F}(V5,V7,V9,V11) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #6: input, references = 10, size of lhs = 1:
% 1.65/1.81     #-{F} V0 | EXISTS V1: P_g-{T}(V0,V1)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #7: input, references = 10, size of lhs = 1:
% 1.65/1.81     #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #8: input, references = 4, size of lhs = 0:
% 1.65/1.81     FALSE | EXISTS V0: P_a-{T}(V0)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #9: input, references = 4, size of lhs = 0:
% 1.65/1.81     FALSE | EXISTS V0: P_b-{T}(V0)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #10: input, references = 5, size of lhs = 0:
% 1.65/1.81     FALSE | EXISTS V0: P_c-{T}(V0)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #11: input, references = 6, size of lhs = 0:
% 1.65/1.81     FALSE | EXISTS V0: P_d-{T}(V0)
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  number of initial rules = 12
% 1.65/1.81  
% 1.65/1.81  Simplifiers:
% 1.65/1.81  #12: unsound, references = 3, size of lhs = 3:
% 1.65/1.81     P_g-{F}(V0,V1), P_g-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #13: unsound, references = 3, size of lhs = 3:
% 1.65/1.81     P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #14: unsound, references = 3, size of lhs = 3:
% 1.65/1.81     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #15: unsound, references = 3, size of lhs = 3:
% 1.65/1.81     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #16: unsound, references = 3, size of lhs = 3:
% 1.65/1.81     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #17: unsound, references = 3, size of lhs = 3:
% 1.65/1.81     P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  number of simplifiers = 6
% 1.65/1.81  
% 1.65/1.81  Learnt:
% 1.65/1.81  #40: exists( #7, #38 ), references = 1, size of lhs = 12:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_g-{F}(V2,V4), P_g-{F}(V1,V4), P_g-{F}(V0,V4), P_g-{F}(V5,V4), P_g-{F}(V6,V4), p-{F}(V4,V6,V5,V7), P_g-{F}(V7,V4) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #44: exists( #6, #42 ), references = 1, size of lhs = 5:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), p-{F}(V0,V0,V0,V0) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #62: exists( #7, #60 ), references = 2, size of lhs = 18:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_g-{F}(V2,V5), P_f-{F}(V5,V6), P_g-{F}(V1,V7), P_f-{F}(V7,V8), P_g-{F}(V0,V9), P_f-{F}(V9,V10), P_f-{F}(V11,V8), P_g-{F}(V12,V11), P_f-{F}(V13,V6), P_g-{F}(V14,V13), p-{F}(V4,V14,V12,V15), P_g-{F}(V15,V16), P_f-{F}(V16,V10) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #66: exists( #6, #64 ), references = 3, size of lhs = 17:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V2,V4), P_f-{F}(V4,V5), P_g-{F}(V1,V6), P_f-{F}(V6,V7), P_g-{F}(V0,V8), P_f-{F}(V8,V9), P_f-{F}(V10,V7), P_g-{F}(V11,V10), P_f-{F}(V12,V5), P_g-{F}(V13,V12), p-{F}(V13,V11,V14,V3), P_g-{F}(V14,V15), P_f-{F}(V15,V9) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #68: exists( #7, #66 ), references = 1, size of lhs = 11:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V2,V4), P_g-{F}(V1,V4), P_g-{F}(V0,V4), P_g-{F}(V5,V4), P_g-{F}(V6,V4), p-{F}(V6,V5,V7,V3), P_g-{F}(V7,V4) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #70: exists( #6, #67 ), references = 1, size of lhs = 5:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_d-{F}(V1), p-{F}(V0,V0,V0,V1) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #73: exists( #11, #71 ), references = 1, size of lhs = 3:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #76: exists( #7, #66 ), references = 1, size of lhs = 15:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V2,V4), P_g-{F}(V1,V5), P_f-{F}(V5,V6), P_g-{F}(V0,V7), P_f-{F}(V7,V8), P_g-{F}(V9,V4), P_f-{F}(V10,V6), P_g-{F}(V11,V10), p-{F}(V9,V11,V12,V3), P_g-{F}(V12,V13), P_f-{F}(V13,V8) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #77: exists( #7, #62 ), references = 1, size of lhs = 16:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_g-{F}(V2,V5), P_g-{F}(V1,V6), P_f-{F}(V6,V7), P_g-{F}(V0,V8), P_f-{F}(V8,V9), P_g-{F}(V10,V5), P_f-{F}(V11,V7), P_g-{F}(V12,V11), p-{F}(V4,V10,V12,V13), P_g-{F}(V13,V14), P_f-{F}(V14,V9) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #80: exists( #6, #74 ), references = 2, size of lhs = 13:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V1,V4), P_f-{F}(V4,V5), P_g-{F}(V0,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V5), P_g-{F}(V9,V8), p-{F}(V2,V9,V10,V3), P_g-{F}(V10,V11), P_f-{F}(V11,V7) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #81: exists( #6, #75 ), references = 2, size of lhs = 14:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_g-{F}(V1,V5), P_f-{F}(V5,V6), P_g-{F}(V0,V7), P_f-{F}(V7,V8), P_f-{F}(V9,V6), P_g-{F}(V10,V9), p-{F}(V4,V2,V10,V11), P_g-{F}(V11,V12), P_f-{F}(V12,V8) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #84: exists( #7, #78 ), references = 1, size of lhs = 9:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V1,V4), P_g-{F}(V0,V4), P_g-{F}(V5,V4), p-{F}(V2,V5,V6,V3), P_g-{F}(V6,V4) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #85: exists( #7, #79 ), references = 1, size of lhs = 10:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_g-{F}(V1,V5), P_g-{F}(V0,V5), P_g-{F}(V6,V5), p-{F}(V4,V2,V6,V7), P_g-{F}(V7,V5) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #88: exists( #6, #82 ), references = 1, size of lhs = 5:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), p-{F}(V1,V0,V0,V2) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #89: exists( #6, #83 ), references = 1, size of lhs = 6:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_g-{F}(V2,V3), p-{F}(V3,V1,V0,V0) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #94: exists( #11, #92 ), references = 1, size of lhs = 3:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #96: exists( #10, #93 ), references = 1, size of lhs = 2:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #99: exists( #7, #80 ), references = 2, size of lhs = 11:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V1,V4), P_f-{F}(V4,V5), P_g-{F}(V0,V6), P_g-{F}(V7,V6), p-{F}(V2,V8,V7,V3), P_g-{F}(V8,V9), P_f-{F}(V9,V5) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #100: exists( #7, #81 ), references = 2, size of lhs = 12:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_g-{F}(V1,V5), P_f-{F}(V5,V6), P_g-{F}(V0,V7), P_f-{F}(V8,V6), P_g-{F}(V9,V8), p-{F}(V4,V2,V9,V10), P_g-{F}(V10,V7) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #104: exists( #7, #99 ), references = 1, size of lhs = 9:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V1,V4), P_g-{F}(V0,V5), P_g-{F}(V6,V5), p-{F}(V2,V7,V6,V3), P_g-{F}(V7,V4) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #105: exists( #7, #100 ), references = 1, size of lhs = 10:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_g-{F}(V1,V5), P_g-{F}(V0,V6), P_g-{F}(V7,V5), p-{F}(V4,V2,V7,V8), P_g-{F}(V8,V6) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #108: exists( #6, #101 ), references = 1, size of lhs = 7:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V0,V4), P_g-{F}(V5,V4), p-{F}(V2,V1,V5,V3) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #109: exists( #6, #102 ), references = 1, size of lhs = 8:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), P_g-{F}(V0,V5), p-{F}(V4,V2,V1,V6), P_g-{F}(V6,V5) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #112: exists( #6, #106 ), references = 1, size of lhs = 5:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), p-{F}(V2,V1,V0,V3) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #113: exists( #6, #107 ), references = 1, size of lhs = 6:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V4), p-{F}(V4,V2,V1,V0) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #118: exists( #11, #116 ), references = 1, size of lhs = 3:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #120: exists( #10, #117 ), references = 1, size of lhs = 2:
% 1.65/1.81     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #122: exists( #9, #119 ), references = 1, size of lhs = 1:
% 1.65/1.81     P_a-{F}(V0) | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  #124: exists( #8, #121 ), references = 1, size of lhs = 0:
% 1.65/1.81     FALSE | FALSE
% 1.65/1.81        (used 0 times, uses = {})
% 1.65/1.81  
% 1.65/1.81  number of learnt formulas = 29
% 1.65/1.81  
% 1.65/1.81  
% 1.65/1.81  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.81  
% 1.65/1.81  randbase = 1
%------------------------------------------------------------------------------