TSTP Solution File: COM007+2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COM007+2 : TPTP v8.1.0. Released v3.2.0.
% 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 05:59:16 EDT 2022

% Result   : Theorem 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COM007+2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 17:07:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  GeoParameters:
% 0.12/0.37  
% 0.12/0.37  tptp_input =     1
% 0.12/0.37  tptp_output =    0
% 0.12/0.37  nonempty =       1
% 0.12/0.37  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  
% 0.12/0.37  RuleSystem INPUT:
% 0.12/0.37  
% 0.12/0.37  Initial Rules:
% 0.12/0.37  #0: input, references = 5, size of lhs = 3:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | reflexive_rewrite-{T}(V0,V1)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #1: input, references = 5, size of lhs = 3:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | reflexive_rewrite-{T}(V0,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #2: input, references = 6, size of lhs = 5:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), reflexive_rewrite-{F}(V1,V3), reflexive_rewrite-{F}(V2,V3) | goal-{T}()
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #3: input, references = 5, size of lhs = 4:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), #-{F} V4 | reflexive_rewrite-{T}(V4,V4)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #4: input, references = 5, size of lhs = 4:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), rewrite-{F}(V3,V4) | reflexive_rewrite-{T}(V3,V4)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #5: input, references = 5, size of lhs = 5:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), reflexive_rewrite-{F}(V3,V4), V3 == V4 | rewrite-{T}(V3,V4)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #6: input, references = 4, size of lhs = 5:
% 0.12/0.37     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)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #7: input, references = 4, size of lhs = 1:
% 0.12/0.37     pppp0-{F}(V0,V1,V2) | rewrite-{T}(V1,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #8: input, references = 4, size of lhs = 1:
% 0.12/0.37     pppp0-{F}(V0,V1,V2) | rewrite-{T}(V0,V2)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #9: input, references = 6, size of lhs = 4:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), goal-{F}() | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #10: input, references = 4, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #11: input, references = 4, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #12: input, references = 5, size of lhs = 0:
% 0.12/0.37     FALSE | EXISTS V0: P_c-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of initial rules = 13
% 0.12/0.37  
% 0.12/0.37  Simplifiers:
% 0.12/0.37  #13: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #14: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #15: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.37     pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of simplifiers = 4
% 0.12/0.37  
% 0.12/0.37  Learnt:
% 0.12/0.37  #29: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V2, V2 == V4, V4 == V7; #22 ), references = 2, size of lhs = 2:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #56: 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; #43 ), references = 1, size of lhs = 5:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), rewrite-{F}(V2,V1), rewrite-{F}(V2,V3), P_c-{F}(V3) | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #76: 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; #61 ), references = 1, size of lhs = 3:
% 0.12/0.37     P_a-{F}(V0), P_b-{F}(V1), V0 == V1 | P_c-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #92: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #81 ), references = 1, size of lhs = 1:
% 0.12/0.37     P_a-{F}(V0) | P_b-{T}(V0)
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  #95: exists( #10, #93 ), references = 1, size of lhs = 0:
% 0.12/0.37     FALSE | FALSE
% 0.12/0.37        (used 0 times, uses = {})
% 0.12/0.37  
% 0.12/0.37  number of learnt formulas = 5
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  
% 0.12/0.37  randbase = 1
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