TSTP Solution File: SYN722+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN722+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n016.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 06:25:18 EDT 2022

% Result   : Theorem 0.11s 0.37s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN722+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sat Jul 23 03:28:45 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.37  GeoParameters:
% 0.11/0.37  
% 0.11/0.37  tptp_input =     1
% 0.11/0.37  tptp_output =    0
% 0.11/0.37  nonempty =       1
% 0.11/0.37  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.11/0.37  
% 0.11/0.37  
% 0.11/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  
% 0.11/0.37  RuleSystem INPUT:
% 0.11/0.37  
% 0.11/0.37  Initial Rules:
% 0.11/0.37  #0: input, references = 4, size of lhs = 5:
% 0.11/0.37     P_c-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), #-{F} V4 | p-{T}(V4), r-{T}(V4)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #1: input, references = 16, size of lhs = 5:
% 0.11/0.37     P_c-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), #-{F} V4 | q-{T}(V4)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #2: input, references = 4, size of lhs = 7:
% 0.11/0.37     P_c-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), q-{F}(V0), q-{F}(V1), q-{F}(V4) | pppp1-{T}(), p-{T}(V4)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #3: input, references = 4, size of lhs = 1:
% 0.11/0.37     pppp1-{F}() | EXISTS V0: pppp0-{T}(V0)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #4: input, references = 7, size of lhs = 6:
% 0.11/0.37     P_c-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), p-{F}(V2), p-{F}(V3) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #5: input, references = 4, size of lhs = 2:
% 0.11/0.37     pppp0-{F}(V0), q-{F}(V0) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #6: input, references = 4, size of lhs = 0:
% 0.11/0.37     FALSE | EXISTS V0: P_c-{T}(V0)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #7: input, references = 4, size of lhs = 0:
% 0.11/0.37     FALSE | EXISTS V0: P_d-{T}(V0)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #8: input, references = 5, size of lhs = 0:
% 0.11/0.37     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #9: input, references = 7, size of lhs = 0:
% 0.11/0.37     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  number of initial rules = 10
% 0.11/0.37  
% 0.11/0.37  Simplifiers:
% 0.11/0.37  #10: unsound, references = 3, size of lhs = 3:
% 0.11/0.37     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #11: unsound, references = 3, size of lhs = 3:
% 0.11/0.37     P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #12: unsound, references = 3, size of lhs = 3:
% 0.11/0.37     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #13: unsound, references = 3, size of lhs = 3:
% 0.11/0.37     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #14: unsound, references = 3, size of lhs = 3:
% 0.11/0.37     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  number of simplifiers = 5
% 0.11/0.37  
% 0.11/0.37  Learnt:
% 0.11/0.37  #20: mergings( V0 == V5, V1 == V6, V2 == V4, V3 == V4; #15 ), references = 1, size of lhs = 4:
% 0.11/0.37     P_c-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V2) | r-{T}(V2)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #23: exists( #3, #21 ), references = 1, size of lhs = 5:
% 0.11/0.37     pppp1-{F}(), P_c-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #29: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #24 ), references = 9, size of lhs = 7:
% 0.11/0.37     q-{F}(V0), P_c-{F}(V0), q-{F}(V1), P_d-{F}(V1), q-{F}(V2), P_a-{F}(V3), P_b-{F}(V4) | p-{T}(V2)
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #47: mergings( V1 == V4, V4 == V7, V7 == V10, V2 == V5, V5 == V10, V10 == V11, V3 == V6, V6 == V11, V11 == V8, V8 == V9; #36 ), references = 1, size of lhs = 3:
% 0.11/0.37     P_a-{F}(V0), P_c-{F}(V0), P_d-{F}(V0) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #74: mergings( V1 == V4, V4 == V7, V7 == V12, V12 == V14, V2 == V5, V5 == V8, V8 == V14, V14 == V15, V3 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V13; #60 ), references = 1, size of lhs = 3:
% 0.11/0.37     P_a-{F}(V0), P_c-{F}(V1), P_d-{F}(V1) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #84: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V2 == V4, V4 == V6, V6 == V8, V8 == V9; #75 ), references = 1, size of lhs = 2:
% 0.11/0.37     P_c-{F}(V0), P_d-{F}(V0) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #104: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V14, V2 == V5, V5 == V8, V8 == V12, V12 == V15, V3 == V6, V6 == V9, V9 == V10, V10 == V14, V14 == V13; #90 ), references = 1, size of lhs = 3:
% 0.11/0.37     P_a-{F}(V0), P_c-{F}(V0), P_d-{F}(V1) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #138: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V15, V15 == V18, V2 == V5, V5 == V8, V8 == V11, V11 == V16, V16 == V19, V3 == V6, V6 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V17; #121 ), references = 1, size of lhs = 3:
% 0.11/0.37     P_a-{F}(V0), P_c-{F}(V1), P_d-{F}(V2) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #150: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #139 ), references = 1, size of lhs = 2:
% 0.11/0.37     P_c-{F}(V0), P_d-{F}(V1) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #157: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #151 ), references = 1, size of lhs = 1:
% 0.11/0.37     P_c-{F}(V0) | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  #159: exists( #6, #151 ), references = 1, size of lhs = 0:
% 0.11/0.37     FALSE | FALSE
% 0.11/0.37        (used 0 times, uses = {})
% 0.11/0.37  
% 0.11/0.37  number of learnt formulas = 11
% 0.11/0.37  
% 0.11/0.37  
% 0.11/0.37  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  
% 0.11/0.37  randbase = 1
%------------------------------------------------------------------------------