TSTP Solution File: SET849-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET849-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n017.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 06:16:50 EDT 2022

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET849-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Jul 23 01:35:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.38  GeoParameters:
% 0.12/0.38  
% 0.12/0.38  tptp_input =     1
% 0.12/0.38  tptp_output =    0
% 0.12/0.38  nonempty =       1
% 0.12/0.38  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  
% 0.12/0.38  RuleSystem INPUT:
% 0.12/0.38  
% 0.12/0.38  Initial Rules:
% 0.12/0.38  #0: input, references = 4, size of lhs = 2:
% 0.12/0.38     #-{F} V0, P_tc_set-{F}(V1,V2) | c_lessequals-{T}(V0,V0,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #1: input, references = 4, size of lhs = 6:
% 0.12/0.38     P_c_Zorn_OTFin-{F}(V2,V0,V3), P_tc_set-{F}(V0,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V5,V6), P_c_Union-{F}(V1,V4,V7), c_lessequals-{F}(V1,V3,V6) | c_in-{T}(V7,V3,V5)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #2: input, references = 4, size of lhs = 7:
% 0.12/0.38     P_c_Zorn_OTFin-{F}(V1,V0,V2), P_tc_set-{F}(V0,V3), P_c_Union-{F}(V2,V3,V4), P_tc_set-{F}(V3,V5), P_c_Zorn_Osucc-{F}(V1,V4,V0,V6), c_in-{F}(V4,V2,V5), V4 == V6 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #3: input, references = 4, size of lhs = 6:
% 0.12/0.38     P_v_S-{F}(V0), P_t_a-{F}(V1), P_c_Zorn_OTFin-{F}(V0,V1,V2), P_tc_set-{F}(V1,V3), P_c_Union-{F}(V2,V3,V4), P_c_Zorn_Osucc-{F}(V0,V4,V1,V4) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #4: input, references = 6, size of lhs = 1:
% 0.12/0.38     #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #5: input, references = 4, size of lhs = 2:
% 0.12/0.38     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_OTFin-{T}(V0,V1,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #6: input, references = 4, size of lhs = 2:
% 0.12/0.38     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Union-{T}(V0,V1,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #7: input, references = 4, size of lhs = 3:
% 0.12/0.38     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Zorn_Osucc-{T}(V0,V1,V2,V3)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #8: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #9: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of initial rules = 10
% 0.12/0.38  
% 0.12/0.38  Simplifiers:
% 0.12/0.38  #10: unsound, references = 3, size of lhs = 2:
% 0.12/0.38     c_lessequals-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #11: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #12: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_c_Zorn_OTFin-{F}(V0,V1,V2), P_c_Zorn_OTFin-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #13: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_c_Union-{F}(V0,V1,V2), P_c_Union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #14: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_c_Zorn_Osucc-{F}(V0,V1,V2,V3), P_c_Zorn_Osucc-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #15: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of simplifiers = 7
% 0.12/0.38  
% 0.12/0.38  Learnt:
% 0.12/0.38  #18: exists( #7, #2 ), references = 1, size of lhs = 5:
% 0.12/0.38     P_tc_set-{F}(V0,V1), P_tc_set-{F}(V1,V2), P_c_Zorn_OTFin-{F}(V3,V0,V4), P_c_Union-{F}(V4,V1,V5), c_in-{F}(V5,V4,V2) | P_c_Zorn_Osucc-{T}(V3,V5,V0,V5)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #22: exists( #6, #20 ), references = 2, size of lhs = 9:
% 0.12/0.38     P_v_S-{F}(V0), P_t_a-{F}(V1), P_c_Zorn_OTFin-{F}(V0,V1,V2), c_lessequals-{F}(V2,V2,V3), P_tc_set-{F}(V1,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V4), P_c_Zorn_OTFin-{F}(V7,V6,V2) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #25: exists( #5, #23 ), references = 2, size of lhs = 6:
% 0.12/0.38     P_v_S-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #28: exists( #4, #25 ), references = 1, size of lhs = 4:
% 0.12/0.38     P_v_S-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #30: exists( #4, #27 ), references = 1, size of lhs = 3:
% 0.12/0.38     P_v_S-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #32: exists( #4, #29 ), references = 1, size of lhs = 2:
% 0.12/0.38     P_v_S-{F}(V0), P_t_a-{F}(V1) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #34: exists( #9, #31 ), references = 1, size of lhs = 1:
% 0.12/0.38     P_v_S-{F}(V0) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #36: exists( #8, #33 ), references = 1, size of lhs = 0:
% 0.12/0.38     FALSE | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of learnt formulas = 8
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  
% 0.12/0.38  randbase = 1
%------------------------------------------------------------------------------