TSTP Solution File: PUZ056-2.005 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PUZ056-2.005 : TPTP v8.1.0. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n016.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 06:14:24 EDT 2022

% Result   : Unsatisfiable 1.40s 4.25s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/2.76  % Problem  : PUZ056-2.005 : TPTP v8.1.0. Released v3.5.0.
% 0.07/2.77  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.14/2.98  % Computer : n016.cluster.edu
% 0.14/2.98  % Model    : x86_64 x86_64
% 0.14/2.98  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/2.98  % Memory   : 8042.1875MB
% 0.14/2.98  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/2.98  % CPULimit : 300
% 0.14/2.98  % WCLimit  : 300
% 0.14/2.98  % DateTime : Fri Jul 22 07:19:52 EDT 2022
% 0.14/2.98  % CPUTime  : 
% 1.40/4.25  GeoParameters:
% 1.40/4.25  
% 1.40/4.25  tptp_input =     1
% 1.40/4.25  tptp_output =    0
% 1.40/4.25  nonempty =       1
% 1.40/4.25  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/4.25  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.40/4.25  
% 1.40/4.25  
% 1.40/4.25  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/4.25  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/4.25  
% 1.40/4.25  RuleSystem INPUT:
% 1.40/4.25  
% 1.40/4.25  Initial Rules:
% 1.40/4.25  #0: input, references = 68, size of lhs = 2:
% 1.40/4.25     p-{F}(V4,V0,V1,V2,V3), #-{F} V5 | p-{T}(V5,V0,V1,V2,V3)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #1: input, references = 22, size of lhs = 3:
% 1.40/4.25     neq-{F}(V1,V0), p-{F}(V1,V5,V4,V3,V2), neq-{F}(V1,V5) | p-{T}(V1,V0,V4,V3,V2)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #2: input, references = 10, size of lhs = 5:
% 1.40/4.25     neq-{F}(V1,V0), neq-{F}(V2,V0), neq-{F}(V1,V3), neq-{F}(V2,V3), p-{F}(V1,V2,V3,V5,V4) | p-{T}(V1,V2,V0,V5,V4)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #3: input, references = 6, size of lhs = 7:
% 1.40/4.25     neq-{F}(V1,V0), neq-{F}(V2,V0), neq-{F}(V1,V3), neq-{F}(V2,V3), neq-{F}(V4,V3), neq-{F}(V4,V0), p-{F}(V1,V4,V2,V3,V5) | p-{T}(V1,V4,V2,V0,V5)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #4: input, references = 4, size of lhs = 9:
% 1.40/4.25     neq-{F}(V1,V0), neq-{F}(V2,V0), neq-{F}(V1,V3), neq-{F}(V2,V3), neq-{F}(V4,V3), neq-{F}(V4,V0), p-{F}(V1,V5,V4,V2,V3), neq-{F}(V5,V3), neq-{F}(V5,V0) | p-{T}(V1,V5,V4,V2,V0)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #5: input, references = 3, size of lhs = 2:
% 1.40/4.25     P_s0-{F}(V0), neq-{F}(V0,V0) | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #6: input, references = 4, size of lhs = 2:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1) | neq-{T}(V0,V1)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #7: input, references = 4, size of lhs = 3:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2) | neq-{T}(V0,V2)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #8: input, references = 4, size of lhs = 3:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2) | neq-{T}(V1,V0)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #9: input, references = 3, size of lhs = 4:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2), neq-{F}(V1,V1) | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #10: input, references = 4, size of lhs = 3:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2) | neq-{T}(V1,V2)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #11: input, references = 4, size of lhs = 3:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2) | neq-{T}(V2,V0)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #12: input, references = 4, size of lhs = 3:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2) | neq-{T}(V2,V1)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #13: input, references = 3, size of lhs = 4:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2), neq-{F}(V2,V2) | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #14: input, references = 4, size of lhs = 3:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2) | p-{T}(V0,V0,V0,V0,V0)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #15: input, references = 4, size of lhs = 4:
% 1.40/4.25     P_s0-{F}(V0), P_s1-{F}(V1), P_s2-{F}(V2), p-{F}(V2,V2,V2,V2,V2) | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #16: input, references = 4, size of lhs = 0:
% 1.40/4.25     FALSE | EXISTS V0: P_s0-{T}(V0)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #17: input, references = 4, size of lhs = 0:
% 1.40/4.25     FALSE | EXISTS V0: P_s1-{T}(V0)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #18: input, references = 4, size of lhs = 0:
% 1.40/4.25     FALSE | EXISTS V0: P_s2-{T}(V0)
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  number of initial rules = 19
% 1.40/4.25  
% 1.40/4.25  Simplifiers:
% 1.40/4.25  #19: unsound, references = 3, size of lhs = 3:
% 1.40/4.25     P_s0-{F}(V0), P_s0-{F}(V1), V0 == V1 | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #20: unsound, references = 3, size of lhs = 3:
% 1.40/4.25     P_s1-{F}(V0), P_s1-{F}(V1), V0 == V1 | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #21: unsound, references = 3, size of lhs = 3:
% 1.40/4.25     P_s2-{F}(V0), P_s2-{F}(V1), V0 == V1 | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  number of simplifiers = 3
% 1.40/4.25  
% 1.40/4.25  Learnt:
% 1.40/4.25  #136: mergings( V2 == V4, V4 == V6, V6 == V8, V1 == V3, V3 == V5, V5 == V7, V7 == V9; #128 ), references = 1, size of lhs = 3:
% 1.40/4.25     P_s0-{F}(V0), neq-{F}(V0,V1), P_s1-{F}(V1) | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #142: mergings( V1 == V2, V2 == V3, V3 == V4; #138 ), references = 1, size of lhs = 1:
% 1.40/4.25     P_s0-{F}(V0) | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  #144: exists( #16, #138 ), references = 1, size of lhs = 0:
% 1.40/4.25     FALSE | FALSE
% 1.40/4.25        (used 0 times, uses = {})
% 1.40/4.25  
% 1.40/4.25  number of learnt formulas = 3
% 1.40/4.25  
% 1.40/4.25  
% 1.40/4.25  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/4.25  
% 1.40/4.25  randbase = 1
%------------------------------------------------------------------------------