TSTP Solution File: COM007+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n005.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 05:59:16 EDT 2022

% Result   : Theorem 0.12s 0.40s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n005.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 17:00:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.40  GeoParameters:
% 0.12/0.40  
% 0.12/0.40  tptp_input =     1
% 0.12/0.40  tptp_output =    0
% 0.12/0.40  nonempty =       1
% 0.12/0.40  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  RuleSystem INPUT:
% 0.12/0.40  
% 0.12/0.40  Initial Rules:
% 0.12/0.40  #0: input, references = 4, size of lhs = 3:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | reflexive_rewrite-{T}(V0,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #1: input, references = 5, size of lhs = 3:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | reflexive_rewrite-{T}(V0,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #2: input, references = 7, size of lhs = 5:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), reflexive_rewrite-{F}(V1,V3), reflexive_rewrite-{F}(V2,V3) | goal-{T}()
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #3: input, references = 6, size of lhs = 4:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), #-{F} V3 | equalish-{T}(V3,V3)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #4: input, references = 5, size of lhs = 4:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), equalish-{F}(V3,V4) | equalish-{T}(V4,V3)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #5: input, references = 5, size of lhs = 5:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), reflexive_rewrite-{F}(V3,V4), equalish-{F}(V5,V3) | reflexive_rewrite-{T}(V5,V4)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #6: input, references = 6, size of lhs = 4:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), equalish-{F}(V3,V4) | reflexive_rewrite-{T}(V3,V4)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #7: input, references = 5, size of lhs = 4:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), rewrite-{F}(V3,V4) | reflexive_rewrite-{T}(V3,V4)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #8: input, references = 5, size of lhs = 4:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), reflexive_rewrite-{F}(V3,V4) | equalish-{T}(V3,V4), rewrite-{T}(V3,V4)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #9: input, references = 4, size of lhs = 5:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), rewrite-{F}(V6,V3), rewrite-{F}(V6,V4) | EXISTS V5: pppp0-{T}(V3,V4,V5)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #10: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp0-{F}(V0,V1,V2) | rewrite-{T}(V1,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #11: input, references = 4, size of lhs = 1:
% 0.12/0.40     pppp0-{F}(V0,V1,V2) | rewrite-{T}(V0,V2)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #12: input, references = 7, size of lhs = 4:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), goal-{F}() | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #13: input, references = 4, size of lhs = 0:
% 0.12/0.40     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #14: input, references = 4, size of lhs = 0:
% 0.12/0.40     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #15: input, references = 5, size of lhs = 0:
% 0.12/0.40     FALSE | EXISTS V0: P_c-{T}(V0)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of initial rules = 16
% 0.12/0.40  
% 0.12/0.40  Simplifiers:
% 0.12/0.40  #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.40     pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of simplifiers = 4
% 0.12/0.40  
% 0.12/0.40  Learnt:
% 0.12/0.40  #35: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V2, V2 == V4, V4 == V6, V6 == V9; #26 ), references = 1, size of lhs = 2:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #59: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V14, V1 == V6, V6 == V9, V9 == V4, V4 == V15, V2 == V7, V7 == V10, V10 == V13, V13 == V16; #46 ), references = 1, size of lhs = 6:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), reflexive_rewrite-{F}(V2,V1), reflexive_rewrite-{F}(V2,V3), P_c-{F}(V4), reflexive_rewrite-{F}(V4,V3) | rewrite-{T}(V2,V1)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #76: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V14, V1 == V6, V6 == V9, V9 == V12, V12 == V15, V2 == V7, V7 == V10, V10 == V4, V4 == V16; #63 ), references = 1, size of lhs = 6:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), reflexive_rewrite-{F}(V1,V2), reflexive_rewrite-{F}(V3,V2), reflexive_rewrite-{F}(V3,V4), P_c-{F}(V4) | rewrite-{T}(V3,V4)
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #98: mergings( V0 == V7, V7 == V10, V10 == V13, V13 == V14, V1 == V8, V8 == V11, V11 == V4, V4 == V15, V2 == V9, V9 == V12, V12 == V5, V5 == V16; #85 ), references = 1, size of lhs = 5:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1), rewrite-{F}(V2,V1), rewrite-{F}(V2,V3), P_c-{F}(V3) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #144: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V37, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V38; #107 ), references = 1, size of lhs = 2:
% 0.12/0.40     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #165: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20; #145 ), references = 1, size of lhs = 1:
% 0.12/0.40     P_a-{F}(V0) | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  #167: exists( #13, #145 ), references = 1, size of lhs = 0:
% 0.12/0.40     FALSE | FALSE
% 0.12/0.40        (used 0 times, uses = {})
% 0.12/0.40  
% 0.12/0.40  number of learnt formulas = 7
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  randbase = 1
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