TSTP Solution File: SET822-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET822-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n010.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 06:16:46 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET822-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n010.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 : Sat Jul 23 02:51:11 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.37  GeoParameters:
% 0.13/0.37  
% 0.13/0.37  tptp_input =     1
% 0.13/0.37  tptp_output =    0
% 0.13/0.37  nonempty =       1
% 0.13/0.37  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  RuleSystem INPUT:
% 0.13/0.37  
% 0.13/0.37  Initial Rules:
% 0.13/0.37  #0: input, references = 4, size of lhs = 2:
% 0.13/0.37     P_c_emptyset-{F}(V0), c_in-{F}(V1,V0,V2) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #1: input, references = 4, size of lhs = 2:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_c_insert-{F}(V2,V3,V1,V4) | c_in-{T}(V2,V4,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #2: input, references = 4, size of lhs = 4:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_c_insert-{F}(V2,V3,V4,V5), c_in-{F}(V1,V5,V4), V1 == V2 | c_in-{T}(V1,V3,V4)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #3: input, references = 4, size of lhs = 3:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_v_b-{F}(V1), P_v_f-{F}(V1,V2) | v_P-{T}(V2)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #4: input, references = 4, size of lhs = 7:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_v_b-{F}(V1), P_v_f-{F}(V1,V2), P_tc_IntDef_Oint-{F}(V3), P_v_f-{F}(V4,V6), P_v_x-{F}(V4,V5,V7), c_in-{F}(V6,V5,V3) | c_in-{T}(V7,V5,V3)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #5: input, references = 4, size of lhs = 8:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_v_b-{F}(V1), P_v_f-{F}(V1,V2), P_tc_IntDef_Oint-{F}(V3), P_v_f-{F}(V4,V6), P_v_x-{F}(V4,V5,V7), c_in-{F}(V6,V5,V3), v_P-{F}(V7) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #6: input, references = 4, size of lhs = 0:
% 0.13/0.37     FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #7: input, references = 4, size of lhs = 3:
% 0.13/0.37     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #8: input, references = 4, size of lhs = 1:
% 0.13/0.37     #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #9: input, references = 4, size of lhs = 0:
% 0.13/0.37     FALSE | EXISTS V0: P_v_b-{T}(V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #10: input, references = 4, size of lhs = 0:
% 0.13/0.37     FALSE | EXISTS V0: P_tc_IntDef_Oint-{T}(V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #11: input, references = 4, size of lhs = 2:
% 0.13/0.37     #-{F} V0, #-{F} V1 | EXISTS V2: P_v_x-{T}(V0,V1,V2)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  number of initial rules = 12
% 0.13/0.37  
% 0.13/0.37  Simplifiers:
% 0.13/0.37  #12: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #13: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #14: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #15: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     P_v_b-{F}(V0), P_v_b-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #16: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     P_tc_IntDef_Oint-{F}(V0), P_tc_IntDef_Oint-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #17: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     P_v_x-{F}(V0,V1,V2), P_v_x-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  number of simplifiers = 6
% 0.13/0.37  
% 0.13/0.37  Learnt:
% 0.13/0.37  #29: mergings( V3 == V7, V7 == V8; #26 ), references = 2, size of lhs = 7:
% 0.13/0.37     P_v_b-{F}(V0), P_v_f-{F}(V0,V1), P_tc_IntDef_Oint-{F}(V2), P_c_emptyset-{F}(V3), P_v_f-{F}(V4,V5), c_in-{F}(V5,V6,V2), P_c_insert-{F}(V7,V3,V2,V6) | P_v_x-{T}(V4,V6,V7)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #40: mergings( V4 == V1, V1 == V7, V5 == V8, V6 == V9; #35 ), references = 1, size of lhs = 6:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_v_b-{F}(V1), P_v_f-{F}(V1,V2), P_tc_IntDef_Oint-{F}(V3), v_P-{F}(V4), P_v_f-{F}(V5,V4) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #46: mergings( V2 == V3, V3 == V4, V4 == V5; #42 ), references = 1, size of lhs = 3:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_v_b-{F}(V1), P_tc_IntDef_Oint-{F}(V2) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #51: mergings( V1 == V2, V2 == V3, V3 == V4; #47 ), references = 1, size of lhs = 2:
% 0.13/0.37     P_c_emptyset-{F}(V0), P_v_b-{F}(V1) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #56: mergings( V1 == V2, V2 == V3, V3 == V4; #52 ), references = 1, size of lhs = 1:
% 0.13/0.37     P_c_emptyset-{F}(V0) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #58: exists( #6, #52 ), references = 1, size of lhs = 0:
% 0.13/0.37     FALSE | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  number of learnt formulas = 6
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  randbase = 1
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