TSTP Solution File: SWV273-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV273-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n015.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 06:21:19 EDT 2022

% Result   : Unsatisfiable 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 16:49:36 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.45  GeoParameters:
% 0.20/0.45  
% 0.20/0.45  tptp_input =     1
% 0.20/0.45  tptp_output =    0
% 0.20/0.45  nonempty =       1
% 0.20/0.45  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  
% 0.20/0.45  RuleSystem INPUT:
% 0.20/0.45  
% 0.20/0.45  Initial Rules:
% 0.20/0.45  #0: input, references = 6, size of lhs = 8:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V2,V5), P_tc_set-{F}(V3,V6), c_lessequals-{F}(V4,V5,V6) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #1: input, references = 7, size of lhs = 10:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V2,V5), P_tc_set-{F}(V3,V6), P_c_Message_Oparts-{F}(V7,V9), P_c_Message_Oparts-{F}(V8,V10), c_lessequals-{F}(V7,V8,V6) | c_lessequals-{T}(V9,V10,V6)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #2: input, references = 4, size of lhs = 10:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V2,V5), P_tc_set-{F}(V3,V6), P_c_Message_Oparts-{F}(V7,V9), P_c_Message_Oparts-{F}(V8,V10), c_lessequals-{F}(V9,V10,V6) | c_lessequals-{T}(V7,V10,V6)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #3: input, references = 6, size of lhs = 8:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V2,V5), P_tc_set-{F}(V3,V6), P_c_Message_Osynth-{F}(V7,V8) | c_lessequals-{T}(V7,V8,V6)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #4: input, references = 6, size of lhs = 11:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V2,V5), P_tc_set-{F}(V3,V6), P_tc_set-{F}(V8,V10), c_lessequals-{F}(V9,V7,V10), P_c_union-{F}(V9,V11,V8,V12), c_lessequals-{F}(V11,V7,V10) | c_lessequals-{T}(V12,V7,V10)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #5: input, references = 5, size of lhs = 9:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V2,V5), P_tc_set-{F}(V3,V6), #-{F} V8, P_tc_set-{F}(V7,V9) | c_lessequals-{T}(V8,V8,V9)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #6: input, references = 6, size of lhs = 3:
% 0.20/0.45     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #7: input, references = 5, size of lhs = 1:
% 0.20/0.45     #-{F} V0 | EXISTS V1: P_c_Message_Oparts-{T}(V0,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #8: input, references = 4, size of lhs = 0:
% 0.20/0.45     FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #9: input, references = 4, size of lhs = 1:
% 0.20/0.45     #-{F} V0 | EXISTS V1: P_c_Message_Osynth-{T}(V0,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #10: input, references = 4, size of lhs = 0:
% 0.20/0.45     FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #11: input, references = 5, size of lhs = 1:
% 0.20/0.45     #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  number of initial rules = 12
% 0.20/0.45  
% 0.20/0.45  Simplifiers:
% 0.20/0.45  #12: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #13: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Oparts-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #14: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #15: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     P_c_Message_Osynth-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #16: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #17: unsound, references = 3, size of lhs = 3:
% 0.20/0.45     P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  number of simplifiers = 6
% 0.20/0.45  
% 0.20/0.45  Learnt:
% 0.20/0.45  #30: mergings( V4 == V7, V7 == V9, V9 == V12, V3 == V6, V6 == V8, V8 == V11, V10 == V5; #22 ), references = 1, size of lhs = 9:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V1), P_tc_Message_Omsg-{F}(V2), P_c_Message_Oparts-{F}(V1,V3), P_tc_set-{F}(V2,V4), P_c_Message_Oparts-{F}(V5,V1), P_c_Message_Osynth-{F}(V5,V6), P_c_Message_Oparts-{F}(V6,V3) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #38: mergings( V4 == V6, V6 == V8, V8 == V10, V2 == V5, V5 == V7, V7 == V9; #31 ), references = 1, size of lhs = 8:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V1), P_tc_Message_Omsg-{F}(V2), P_c_Message_Oparts-{F}(V1,V3), P_c_Message_Oparts-{F}(V4,V1), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Oparts-{F}(V5,V3) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #56: mergings( V1 == V5, V5 == V8, V8 == V11, V11 == V14, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V9 == V15, V15 == V6; #45 ), references = 1, size of lhs = 10:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_c_Message_Oparts-{F}(V2,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_c_Message_Oparts-{F}(V6,V1), P_c_Message_Osynth-{F}(V6,V7), P_c_Message_Oparts-{F}(V7,V2) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #83: mergings( V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V23, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20, V9 == V19, V19 == V6; #67 ), references = 1, size of lhs = 12:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oparts-{F}(V2,V4), P_c_Message_Oparts-{F}(V5,V4), P_c_Message_Oparts-{F}(V6,V4), P_tc_set-{F}(V3,V7), P_tc_set-{F}(V8,V7), P_c_Message_Oparts-{F}(V9,V1), P_c_Message_Osynth-{F}(V9,V10), P_c_Message_Oparts-{F}(V10,V4) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #93: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V11 == V12, V12 == V13; #84 ), references = 1, size of lhs = 8:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_c_Message_Oparts-{F}(V6,V1), P_c_Message_Osynth-{F}(V6,V2) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #101: mergings( V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #94 ), references = 1, size of lhs = 6:
% 0.20/0.45     P_v_H-{F}(V0), P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oparts-{F}(V4,V1), P_c_Message_Osynth-{F}(V4,V2) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #103: exists( #9, #94 ), references = 1, size of lhs = 3:
% 0.20/0.45     P_v_H-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_c_Message_Oparts-{F}(V0,V2) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #105: exists( #7, #102 ), references = 1, size of lhs = 2:
% 0.20/0.45     P_v_H-{F}(V0), P_tc_Message_Omsg-{F}(V1) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #107: exists( #10, #104 ), references = 1, size of lhs = 1:
% 0.20/0.45     P_v_H-{F}(V0) | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  #109: exists( #8, #106 ), references = 1, size of lhs = 0:
% 0.20/0.45     FALSE | FALSE
% 0.20/0.45        (used 0 times, uses = {})
% 0.20/0.45  
% 0.20/0.45  number of learnt formulas = 10
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  
% 0.20/0.45  randbase = 1
%------------------------------------------------------------------------------