TSTP Solution File: ROB010-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : ROB010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n029.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 06:15:11 EDT 2022

% Result   : Unsatisfiable 0.55s 0.72s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ROB010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n029.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 : Fri Jul 22 11:26:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.55/0.72  GeoParameters:
% 0.55/0.72  
% 0.55/0.72  tptp_input =     1
% 0.55/0.72  tptp_output =    0
% 0.55/0.72  nonempty =       1
% 0.55/0.72  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.72  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.55/0.72  
% 0.55/0.72  
% 0.55/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.72  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.72  
% 0.55/0.72  RuleSystem INPUT:
% 0.55/0.72  
% 0.55/0.72  Initial Rules:
% 0.55/0.72  #0: input, references = 4, size of lhs = 3:
% 0.55/0.72     P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #1: input, references = 4, size of lhs = 5:
% 0.55/0.72     P_add-{F}(V0,V1,V3), P_add-{F}(V3,V2,V4), P_add-{F}(V1,V2,V5), P_add-{F}(V0,V5,V6), V4 == V6 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #2: input, references = 8, size of lhs = 8:
% 0.55/0.72     P_add-{F}(V0,V1,V2), P_negate-{F}(V2,V3), P_negate-{F}(V1,V4), P_add-{F}(V0,V4,V5), P_negate-{F}(V5,V6), P_add-{F}(V3,V6,V7), P_negate-{F}(V7,V8), V8 == V0 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #3: input, references = 5, size of lhs = 7:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V3), P_negate-{F}(V3,V4), P_c-{F}(V5), V4 == V5 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #4: input, references = 5, size of lhs = 10:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V3), P_negate-{F}(V3,V4), P_c-{F}(V5), P_add-{F}(V1,V0,V6), P_negate-{F}(V6,V7), P_add-{F}(V5,V7,V8), P_negate-{F}(V8,V0) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #5: input, references = 17, size of lhs = 2:
% 0.55/0.72     #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #6: input, references = 8, size of lhs = 1:
% 0.55/0.72     #-{F} V0 | EXISTS V1: P_negate-{T}(V0,V1)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #7: input, references = 4, size of lhs = 0:
% 0.55/0.72     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #8: input, references = 4, size of lhs = 0:
% 0.55/0.72     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #9: input, references = 5, size of lhs = 0:
% 0.55/0.72     FALSE | EXISTS V0: P_c-{T}(V0)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  number of initial rules = 10
% 0.55/0.72  
% 0.55/0.72  Simplifiers:
% 0.55/0.72  #10: unsound, references = 3, size of lhs = 3:
% 0.55/0.72     P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #11: unsound, references = 3, size of lhs = 3:
% 0.55/0.72     P_negate-{F}(V0,V1), P_negate-{F}(V0,V3), V1 == V3 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #12: unsound, references = 3, size of lhs = 3:
% 0.55/0.72     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #13: unsound, references = 3, size of lhs = 3:
% 0.55/0.72     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #14: unsound, references = 3, size of lhs = 3:
% 0.55/0.72     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  number of simplifiers = 5
% 0.55/0.72  
% 0.55/0.72  Learnt:
% 0.55/0.72  #16: exists( #5, #0 ), references = 10, size of lhs = 1:
% 0.55/0.72     P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #18: exists( #6, #2 ), references = 7, size of lhs = 6:
% 0.55/0.72     P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V4,V6,V7) | P_negate-{T}(V7,V2)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #21: exists( #5, #19 ), references = 4, size of lhs = 13:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V3), P_negate-{F}(V3,V4), P_c-{F}(V5), P_negate-{F}(V6,V0), P_add-{F}(V5,V7,V6), P_negate-{F}(V8,V1), P_add-{F}(V7,V9,V8), P_negate-{F}(V9,V10), P_add-{F}(V7,V10,V11), P_negate-{F}(V11,V0) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #25: exists( #6, #3 ), references = 7, size of lhs = 5:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V3), P_c-{F}(V4) | P_negate-{T}(V3,V4)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #30: mergings( V3 == V4; #28 ), references = 1, size of lhs = 7:
% 0.55/0.72     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V3,V0), P_add-{F}(V2,V3,V4), P_negate-{F}(V4,V1) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #40: mergings( V3 == V5, V4 == V6; #35 ), references = 2, size of lhs = 11:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_c-{F}(V3), P_negate-{F}(V4,V0), P_add-{F}(V3,V5,V4), P_negate-{F}(V6,V1), P_add-{F}(V5,V7,V6), P_negate-{F}(V7,V8), P_add-{F}(V5,V8,V9), P_negate-{F}(V9,V0) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #43: exists( #5, #1 ), references = 4, size of lhs = 3:
% 0.55/0.72     P_add-{F}(V0,V1,V2), P_add-{F}(V2,V3,V4), P_add-{F}(V1,V3,V5) | P_add-{T}(V0,V5,V4)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #60: exists( #5, #56 ), references = 1, size of lhs = 10:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_c-{F}(V3), P_negate-{F}(V4,V0), P_negate-{F}(V5,V2), P_negate-{F}(V6,V7), P_add-{F}(V8,V6,V4), V8 == V3, P_add-{F}(V8,V7,V5) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #61: exists( #5, #57 ), references = 1, size of lhs = 10:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_c-{F}(V3), P_negate-{F}(V4,V0), P_negate-{F}(V5,V2), P_negate-{F}(V6,V7), P_add-{F}(V8,V6,V4), V3 == V8, P_add-{F}(V8,V7,V5) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #76: mergings( V1 == V4, V3 == V0; #73 ), references = 1, size of lhs = 6:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_negate-{F}(V0,V1), P_add-{F}(V1,V2,V1), P_add-{F}(V2,V0,V1) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #97: exists( #5, #91 ), references = 3, size of lhs = 13:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_c-{F}(V3), P_negate-{F}(V4,V2), P_add-{F}(V0,V4,V5), P_negate-{F}(V5,V6), P_add-{F}(V6,V3,V7), P_add-{F}(V3,V0,V8), P_negate-{F}(V8,V9), V9 == V0, P_negate-{F}(V2,V10), P_add-{F}(V0,V10,V7) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #100: mergings( V3 == V5, V4 == V6; #95 ), references = 3, size of lhs = 11:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_c-{F}(V3), P_add-{F}(V1,V0,V4), P_negate-{F}(V4,V5), P_add-{F}(V3,V5,V6), P_negate-{F}(V7,V2), P_add-{F}(V0,V7,V8), P_negate-{F}(V8,V9), P_add-{F}(V9,V3,V6) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #104: mergings( V3 == V0, V1 == V5, V4 == V6; #96 ), references = 1, size of lhs = 11:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V0), P_negate-{F}(V0,V1), P_c-{F}(V2), P_negate-{F}(V3,V1), P_add-{F}(V0,V3,V4), P_negate-{F}(V4,V5), P_add-{F}(V5,V2,V6), P_add-{F}(V2,V7,V6), P_add-{F}(V7,V6,V6), P_add-{F}(V7,V0,V6) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #117: exists( #5, #112 ), references = 1, size of lhs = 11:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_c-{F}(V3), P_add-{F}(V1,V0,V4), P_negate-{F}(V4,V5), P_negate-{F}(V6,V2), P_add-{F}(V0,V6,V7), P_negate-{F}(V7,V5), P_add-{F}(V3,V8,V9), P_add-{F}(V8,V10,V5) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #118: exists( #5, #113 ), references = 1, size of lhs = 13:
% 0.55/0.72     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V3,V2), P_add-{F}(V0,V3,V4), P_negate-{F}(V4,V5), P_negate-{F}(V2,V5), P_add-{F}(V0,V0,V6), P_negate-{F}(V6,V7), V7 == V0, P_add-{F}(V0,V8,V9), P_add-{F}(V8,V10,V5) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #128: exists( #5, #123 ), references = 1, size of lhs = 9:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_c-{F}(V3), P_add-{F}(V1,V0,V4), P_negate-{F}(V4,V5), P_negate-{F}(V6,V2), P_add-{F}(V0,V6,V7), P_negate-{F}(V7,V5) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #129: exists( #5, #124 ), references = 1, size of lhs = 11:
% 0.55/0.72     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V3,V2), P_add-{F}(V0,V3,V4), P_negate-{F}(V4,V5), P_negate-{F}(V2,V5), P_add-{F}(V0,V0,V6), P_negate-{F}(V6,V7), V7 == V0 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #132: exists( #6, #125 ), references = 2, size of lhs = 7:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_c-{F}(V3), P_add-{F}(V1,V0,V4), P_negate-{F}(V5,V2), P_add-{F}(V0,V5,V4) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #133: exists( #6, #126 ), references = 1, size of lhs = 7:
% 0.55/0.72     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_add-{F}(V0,V0,V2), P_negate-{F}(V3,V2), P_add-{F}(V0,V3,V2) | P_negate-{T}(V2,V0)
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #135: exists( #5, #130 ), references = 1, size of lhs = 4:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_negate-{F}(V0,V2) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #137: exists( #6, #134 ), references = 1, size of lhs = 3:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #139: exists( #9, #136 ), references = 1, size of lhs = 2:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #144: exists( #5, #142 ), references = 1, size of lhs = 9:
% 0.55/0.72     P_negate-{F}(V0,V0), P_negate-{F}(V1,V0), P_negate-{F}(V2,V3), P_add-{F}(V4,V3,V1), P_add-{F}(V4,V2,V5), P_negate-{F}(V5,V6), P_add-{F}(V4,V4,V7), P_negate-{F}(V7,V8), V8 == V6 | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #147: exists( #5, #145 ), references = 1, size of lhs = 11:
% 0.55/0.72     P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V4), P_negate-{F}(V8,V6), P_negate-{F}(V9,V10), P_add-{F}(V11,V9,V7), V2 == V11, P_add-{F}(V11,V10,V8) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #157: exists( #5, #153 ), references = 1, size of lhs = 4:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_negate-{F}(V1,V3) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #159: exists( #6, #156 ), references = 1, size of lhs = 3:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #161: exists( #9, #158 ), references = 1, size of lhs = 2:
% 0.55/0.72     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #163: exists( #8, #160 ), references = 1, size of lhs = 1:
% 0.55/0.72     P_a-{F}(V0) | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  #165: exists( #7, #162 ), references = 1, size of lhs = 0:
% 0.55/0.72     FALSE | FALSE
% 0.55/0.72        (used 0 times, uses = {})
% 0.55/0.72  
% 0.55/0.72  number of learnt formulas = 29
% 0.55/0.72  
% 0.55/0.72  
% 0.55/0.72  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.72  
% 0.55/0.72  randbase = 1
%------------------------------------------------------------------------------