TSTP Solution File: ITP001+2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : ITP001+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n004.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 06:05:28 EDT 2022

% Result   : Theorem 0.13s 0.36s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP001+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.14  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Jul 22 08:52:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  GeoParameters:
% 0.13/0.36  
% 0.13/0.36  tptp_input =     1
% 0.13/0.36  tptp_output =    0
% 0.13/0.36  nonempty =       1
% 0.13/0.36  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.36  
% 0.13/0.36  
% 0.13/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  
% 0.13/0.36  RuleSystem INPUT:
% 0.13/0.36  
% 0.13/0.36  Initial Rules:
% 0.13/0.36  #0: input, references = 3, size of lhs = 1:
% 0.13/0.36     P_bool-{F}(V0) | ne-{T}(V0)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #1: input, references = 3, size of lhs = 2:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1) | ne-{T}(V1)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #2: input, references = 3, size of lhs = 5:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), ne-{F}(V2), P_arr-{F}(V2,V3,V4), ne-{F}(V3) | ne-{T}(V4)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #3: input, references = 3, size of lhs = 6:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_arr-{F}(V2,V3,V5), mem-{F}(V4,V5), P_ap-{F}(V4,V6,V7), mem-{F}(V6,V2) | mem-{T}(V7,V3)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #4: input, references = 3, size of lhs = 5:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), mem-{F}(V2,V0), mem-{F}(V3,V0), V2 == V3 | p-{T}(V2), p-{T}(V3)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #5: input, references = 3, size of lhs = 7:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), mem-{F}(V2,V0), mem-{F}(V3,V0), p-{F}(V3), p-{F}(V2), V2 == V3 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #6: input, references = 3, size of lhs = 6:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_arr-{F}(V2,V3,V5), mem-{F}(V4,V5), mem-{F}(V6,V5), V4 == V6 | EXISTS V7: pppp0-{T}(V2,V4,V7,V6)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #7: input, references = 3, size of lhs = 3:
% 0.13/0.36     pppp0-{F}(V0,V1,V2,V3), P_ap-{F}(V1,V2,V5), P_ap-{F}(V3,V2,V5) | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #8: input, references = 3, size of lhs = 3:
% 0.13/0.36     pppp0-{F}(V0,V1,V2,V3), P_ap-{F}(V1,V2,V4), P_ap-{F}(V3,V2,V5) | mem-{T}(V2,V0)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #9: input, references = 3, size of lhs = 6:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), mem-{F}(V3,V2), P_k-{F}(V2,V4,V5), P_ap-{F}(V5,V3,V6), V6 == V4 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #10: input, references = 3, size of lhs = 6:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_i-{F}(V2,V4), P_ap-{F}(V4,V3,V5), mem-{F}(V3,V2), V5 == V3 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #11: input, references = 3, size of lhs = 3:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_c_2Ebool_2ET-{F}(V2) | mem-{T}(V2,V0)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #12: input, references = 3, size of lhs = 3:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_c_2Ebool_2ET-{F}(V2) | p-{T}(V2)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #13: input, references = 3, size of lhs = 7:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_c_2Ebool_2ET-{F}(V2), P_c_2Emin_2E_3D-{F}(V3,V4), P_arr-{F}(V3,V0,V5), P_arr-{F}(V3,V5,V6), ne-{F}(V3) | mem-{T}(V4,V6)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #14: input, references = 3, size of lhs = 11:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_c_2Ebool_2ET-{F}(V2), P_c_2Emin_2E_3D-{F}(V3,V4), ne-{F}(V3), P_ap-{F}(V4,V5,V6), mem-{F}(V5,V3), P_ap-{F}(V6,V7,V8), mem-{F}(V7,V3), p-{F}(V8), V5 == V7 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #15: input, references = 3, size of lhs = 8:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_c_2Ebool_2ET-{F}(V2), P_c_2Emin_2E_3D-{F}(V3,V4), ne-{F}(V3), P_ap-{F}(V4,V7,V6), mem-{F}(V7,V3), P_ap-{F}(V6,V7,V8) | p-{T}(V8)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #16: input, references = 4, size of lhs = 4:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_c_2Ebool_2ET-{F}(V2), P_i-{F}(V0,V3) | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #17: input, references = 4, size of lhs = 0:
% 0.13/0.36     FALSE | EXISTS V0: P_bool-{T}(V0)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #18: input, references = 4, size of lhs = 0:
% 0.13/0.36     FALSE | EXISTS V0: P_ind-{T}(V0)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #19: input, references = 3, size of lhs = 2:
% 0.13/0.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_arr-{T}(V0,V1,V2)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #20: input, references = 3, size of lhs = 2:
% 0.13/0.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_ap-{T}(V0,V1,V2)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #21: input, references = 3, size of lhs = 2:
% 0.13/0.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_k-{T}(V0,V1,V2)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #22: input, references = 4, size of lhs = 1:
% 0.13/0.36     #-{F} V0 | EXISTS V1: P_i-{T}(V0,V1)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #23: input, references = 4, size of lhs = 0:
% 0.13/0.36     FALSE | EXISTS V0: P_c_2Ebool_2ET-{T}(V0)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #24: input, references = 3, size of lhs = 1:
% 0.13/0.36     #-{F} V0 | EXISTS V1: P_c_2Emin_2E_3D-{T}(V0,V1)
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  number of initial rules = 25
% 0.13/0.36  
% 0.13/0.36  Simplifiers:
% 0.13/0.36  #25: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     P_bool-{F}(V0), P_bool-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #26: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     P_ind-{F}(V0), P_ind-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #27: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     P_arr-{F}(V0,V1,V2), P_arr-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #28: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     P_ap-{F}(V0,V1,V2), P_ap-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #29: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     P_k-{F}(V0,V1,V2), P_k-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #30: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     P_i-{F}(V0,V1), P_i-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #31: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     P_c_2Ebool_2ET-{F}(V0), P_c_2Ebool_2ET-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #32: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     P_c_2Emin_2E_3D-{F}(V0,V1), P_c_2Emin_2E_3D-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #33: unsound, references = 3, size of lhs = 3:
% 0.13/0.36     pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  number of simplifiers = 9
% 0.13/0.36  
% 0.13/0.36  Learnt:
% 0.13/0.36  #35: exists( #22, #16 ), references = 1, size of lhs = 3:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1), P_c_2Ebool_2ET-{F}(V2) | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #37: exists( #23, #34 ), references = 1, size of lhs = 2:
% 0.13/0.36     P_bool-{F}(V0), P_ind-{F}(V1) | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #39: exists( #18, #36 ), references = 1, size of lhs = 1:
% 0.13/0.36     P_bool-{F}(V0) | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  #41: exists( #17, #38 ), references = 1, size of lhs = 0:
% 0.13/0.36     FALSE | FALSE
% 0.13/0.36        (used 0 times, uses = {})
% 0.13/0.36  
% 0.13/0.36  number of learnt formulas = 4
% 0.13/0.36  
% 0.13/0.36  
% 0.13/0.36  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  
% 0.13/0.36  randbase = 1
%------------------------------------------------------------------------------