TSTP Solution File: GRP132-2.002 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP132-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n009.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 06:03:20 EDT 2022

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP132-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Jul 22 14:01:21 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.37  GeoParameters:
% 0.14/0.37  
% 0.14/0.37  tptp_input =     1
% 0.14/0.37  tptp_output =    0
% 0.14/0.37  nonempty =       1
% 0.14/0.37  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  
% 0.14/0.37  RuleSystem INPUT:
% 0.14/0.37  
% 0.14/0.37  Initial Rules:
% 0.14/0.37  #0: input, references = 3, size of lhs = 2:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1) | next-{T}(V0,V1)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #1: input, references = 3, size of lhs = 2:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1) | greater-{T}(V1,V0)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #2: input, references = 3, size of lhs = 5:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), greater-{F}(V2,V3), product-{F}(V4,V0,V2), next-{F}(V4,V3) | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #3: input, references = 4, size of lhs = 2:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1) | group_element-{T}(V0)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #4: input, references = 4, size of lhs = 2:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1) | group_element-{T}(V1)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #5: input, references = 7, size of lhs = 3:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #6: input, references = 5, size of lhs = 3:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), equalish-{F}(V1,V0) | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #7: input, references = 9, size of lhs = 4:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), group_element-{F}(V2), group_element-{F}(V3) | product-{T}(V3,V2,V0), product-{T}(V3,V2,V1)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #8: input, references = 3, size of lhs = 4:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3) | equalish-{T}(V2,V3)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #9: input, references = 4, size of lhs = 4:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V5,V2,V4), product-{F}(V5,V3,V4) | equalish-{T}(V2,V3)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #10: input, references = 5, size of lhs = 4:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V2,V4,V5), product-{F}(V3,V4,V5) | equalish-{T}(V2,V3)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #11: input, references = 6, size of lhs = 6:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V4,V2,V3), product-{F}(V2,V3,V5), product-{F}(V6,V7,V5), product-{F}(V4,V6,V7) | equalish-{T}(V6,V2)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #12: input, references = 3, size of lhs = 6:
% 0.14/0.37     P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V4,V2,V3), product-{F}(V2,V3,V5), product-{F}(V7,V6,V5), product-{F}(V4,V7,V6) | equalish-{T}(V6,V3)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #13: input, references = 4, size of lhs = 0:
% 0.14/0.37     FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #14: input, references = 4, size of lhs = 0:
% 0.14/0.37     FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  number of initial rules = 15
% 0.14/0.37  
% 0.14/0.37  Simplifiers:
% 0.14/0.37  #15: unsound, references = 3, size of lhs = 3:
% 0.14/0.37     next-{F}(V0,V1), next-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #16: unsound, references = 3, size of lhs = 3:
% 0.14/0.37     next-{F}(V0,V1), next-{F}(V2,V3), V1 == V3 | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #17: unsound, references = 3, size of lhs = 3:
% 0.14/0.37     greater-{F}(V0,V1), greater-{F}(V2,V3), V1 == V3 | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #18: unsound, references = 3, size of lhs = 3:
% 0.14/0.37     greater-{F}(V0,V1), greater-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #19: unsound, references = 3, size of lhs = 3:
% 0.14/0.37     P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #20: unsound, references = 3, size of lhs = 3:
% 0.14/0.37     P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  number of simplifiers = 6
% 0.14/0.37  
% 0.14/0.37  Learnt:
% 0.14/0.37  #24: mergings( V0 == V2, V1 == V4; #21 ), references = 1, size of lhs = 6:
% 0.14/0.37     group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V2), greater-{F}(V0,V3), next-{F}(V1,V3) | product-{T}(V1,V0,V2)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #35: mergings( V0 == V4, V4 == V6, V1 == V2, V2 == V5; #30 ), references = 2, size of lhs = 5:
% 0.14/0.37     group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V2) | product-{T}(V1,V0,V0)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #45: mergings( V2 == V0, V0 == V4, V4 == V6, V1 == V3, V3 == V5, V5 == V7; #38 ), references = 1, size of lhs = 5:
% 0.14/0.37     group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V0,V0,V1), P_e_2-{F}(V1) | product-{T}(V1,V0,V1)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #56: mergings( V0 == V2, V2 == V3, V3 == V5, V5 == V7, V1 == V4, V4 == V6, V6 == V8; #48 ), references = 1, size of lhs = 4:
% 0.14/0.37     group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1) | product-{T}(V0,V0,V0)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #63: mergings( V0 == V4, V4 == V6, V1 == V3, V3 == V5; #58 ), references = 1, size of lhs = 5:
% 0.14/0.37     group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2) | product-{T}(V1,V0,V1)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #70: mergings( V0 == V4, V4 == V6, V1 == V3, V3 == V5; #65 ), references = 1, size of lhs = 7:
% 0.14/0.37     group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V3,V1,V0), product-{F}(V3,V2,V4), product-{F}(V2,V4,V2) | product-{T}(V1,V0,V1)
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #94: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #85 ), references = 1, size of lhs = 1:
% 0.14/0.37     P_e_1-{F}(V0) | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  #97: exists( #13, #85 ), references = 1, size of lhs = 0:
% 0.14/0.37     FALSE | FALSE
% 0.14/0.37        (used 0 times, uses = {})
% 0.14/0.37  
% 0.14/0.37  number of learnt formulas = 8
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  
% 0.14/0.37  randbase = 1
%------------------------------------------------------------------------------