TSTP Solution File: COL103-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n028.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 05:59:10 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n028.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 08:05:57 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  GeoParameters:
% 0.13/0.35  
% 0.13/0.35  tptp_input =     1
% 0.13/0.35  tptp_output =    0
% 0.13/0.35  nonempty =       1
% 0.13/0.35  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  RuleSystem INPUT:
% 0.13/0.35  
% 0.13/0.35  Initial Rules:
% 0.13/0.35  #0: input, references = 4, size of lhs = 9:
% 0.13/0.35     P_v_z-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_tc_Comb_Ocomb-{F}(V3), P_c_Pair-{F}(V2,V2,V3,V3,V4), P_c_Comb_Ocontract-{F}(V5), P_c_Transitive__Closure_Ortrancl-{F}(V5,V3,V6), P_tc_prod-{F}(V3,V3,V7), c_in-{F}(V4,V6,V7) | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #1: input, references = 4, size of lhs = 11:
% 0.13/0.35     P_v_z-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_tc_Comb_Ocomb-{F}(V3), P_c_Pair-{F}(V2,V2,V3,V3,V4), P_c_Comb_Ocontract-{F}(V5), P_c_Transitive__Closure_Ortrancl-{F}(V5,V3,V6), P_tc_prod-{F}(V3,V3,V7), P_c_Pair-{F}(V8,V8,V9,V9,V11), P_c_Transitive__Closure_Ortrancl-{F}(V10,V9,V12), P_tc_prod-{F}(V9,V9,V13) | c_in-{T}(V11,V12,V13)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #2: input, references = 4, size of lhs = 4:
% 0.13/0.35     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #3: input, references = 4, size of lhs = 2:
% 0.13/0.35     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Comb_Ocomb_Oop_A_D_D-{T}(V0,V1,V2)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #4: input, references = 4, size of lhs = 0:
% 0.13/0.35     FALSE | EXISTS V0: P_v_z-{T}(V0)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #5: input, references = 4, size of lhs = 0:
% 0.13/0.35     FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #6: input, references = 4, size of lhs = 0:
% 0.13/0.35     FALSE | EXISTS V0: P_tc_Comb_Ocomb-{T}(V0)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #7: input, references = 4, size of lhs = 2:
% 0.13/0.35     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Transitive__Closure_Ortrancl-{T}(V0,V1,V2)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #8: input, references = 4, size of lhs = 0:
% 0.13/0.35     FALSE | EXISTS V0: P_c_Comb_Ocontract-{T}(V0)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #9: input, references = 4, size of lhs = 2:
% 0.13/0.35     #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  number of initial rules = 10
% 0.13/0.35  
% 0.13/0.35  Simplifiers:
% 0.13/0.35  #10: unsound, references = 3, size of lhs = 3:
% 0.13/0.35     P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #11: unsound, references = 3, size of lhs = 3:
% 0.13/0.35     P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #12: unsound, references = 3, size of lhs = 3:
% 0.13/0.35     P_v_z-{F}(V0), P_v_z-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #13: unsound, references = 3, size of lhs = 3:
% 0.13/0.35     P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #14: unsound, references = 3, size of lhs = 3:
% 0.13/0.35     P_tc_Comb_Ocomb-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #15: unsound, references = 3, size of lhs = 3:
% 0.13/0.35     P_c_Transitive__Closure_Ortrancl-{F}(V0,V1,V2), P_c_Transitive__Closure_Ortrancl-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #16: unsound, references = 3, size of lhs = 3:
% 0.13/0.35     P_c_Comb_Ocontract-{F}(V0), P_c_Comb_Ocontract-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #17: unsound, references = 3, size of lhs = 3:
% 0.13/0.35     P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  number of simplifiers = 8
% 0.13/0.35  
% 0.13/0.35  Learnt:
% 0.13/0.35  #25: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #19 ), references = 1, size of lhs = 8:
% 0.13/0.35     P_v_z-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_tc_Comb_Ocomb-{F}(V3), P_c_Comb_Ocontract-{F}(V4), P_c_Transitive__Closure_Ortrancl-{F}(V4,V3,V5), P_tc_prod-{F}(V3,V3,V6), P_c_Transitive__Closure_Ortrancl-{F}(V7,V3,V5) | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #31: mergings( V2 == V6, V3 == V7, V5 == V9, V8 == V10; #26 ), references = 1, size of lhs = 7:
% 0.13/0.35     P_v_z-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_tc_Comb_Ocomb-{F}(V3), P_c_Comb_Ocontract-{F}(V4), P_c_Transitive__Closure_Ortrancl-{F}(V4,V3,V5), P_c_Transitive__Closure_Ortrancl-{F}(V6,V3,V5) | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #35: mergings( V3 == V6, V4 == V7; #32 ), references = 1, size of lhs = 5:
% 0.13/0.35     P_v_z-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_tc_Comb_Ocomb-{F}(V3), P_c_Comb_Ocontract-{F}(V4) | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #37: exists( #3, #32 ), references = 1, size of lhs = 4:
% 0.13/0.35     P_v_z-{F}(V0), P_v_x-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Comb_Ocontract-{F}(V3) | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #39: exists( #8, #36 ), references = 1, size of lhs = 3:
% 0.13/0.35     P_v_z-{F}(V0), P_v_x-{F}(V1), P_tc_Comb_Ocomb-{F}(V2) | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #41: exists( #6, #38 ), references = 1, size of lhs = 2:
% 0.13/0.35     P_v_z-{F}(V0), P_v_x-{F}(V1) | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #43: exists( #5, #40 ), references = 1, size of lhs = 1:
% 0.13/0.35     P_v_z-{F}(V0) | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  #45: exists( #4, #42 ), references = 1, size of lhs = 0:
% 0.13/0.35     FALSE | FALSE
% 0.13/0.35        (used 0 times, uses = {})
% 0.13/0.35  
% 0.13/0.35  number of learnt formulas = 8
% 0.13/0.35  
% 0.13/0.35  
% 0.13/0.35  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  randbase = 1
%------------------------------------------------------------------------------