TSTP Solution File: LAT012-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LAT012-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 May  4 08:13:40 EDT 2024

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;   4 RR)
%            Number of literals    :   21 (  20 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   44 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mckenzie2,axiom,
    meet(X1,join(X2,join(X1,X3))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.KMo2uLgNuI/E---3.1_21566.p',mckenzie2) ).

cnf(mckenzie1,axiom,
    join(X1,meet(X2,meet(X1,X3))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.KMo2uLgNuI/E---3.1_21566.p',mckenzie1) ).

cnf(mckenzie3,axiom,
    join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
    file('/export/starexec/sandbox/tmp/tmp.KMo2uLgNuI/E---3.1_21566.p',mckenzie3) ).

cnf(mckenzie4,axiom,
    meet(meet(join(X1,X2),join(X2,X3)),X2) = X2,
    file('/export/starexec/sandbox/tmp/tmp.KMo2uLgNuI/E---3.1_21566.p',mckenzie4) ).

cnf(prove_commutativity_of_meet,negated_conjecture,
    meet(b,a) != meet(a,b),
    file('/export/starexec/sandbox/tmp/tmp.KMo2uLgNuI/E---3.1_21566.p',prove_commutativity_of_meet) ).

cnf(c_0_5,axiom,
    meet(X1,join(X2,join(X1,X3))) = X1,
    mckenzie2 ).

cnf(c_0_6,axiom,
    join(X1,meet(X2,meet(X1,X3))) = X1,
    mckenzie1 ).

cnf(c_0_7,plain,
    meet(X1,join(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,axiom,
    join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
    mckenzie3 ).

cnf(c_0_9,plain,
    meet(meet(X1,meet(X2,X3)),X2) = meet(X1,meet(X2,X3)),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_10,axiom,
    meet(meet(join(X1,X2),join(X2,X3)),X2) = X2,
    mckenzie4 ).

cnf(c_0_11,plain,
    join(X1,meet(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_6,c_0_5]) ).

cnf(c_0_12,plain,
    join(meet(X1,X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_6]) ).

cnf(c_0_13,plain,
    meet(meet(X1,X2),X1) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    meet(meet(X1,join(meet(X2,X1),X3)),meet(X2,X1)) = meet(X2,X1),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,plain,
    join(meet(X1,X2),X1) = X1,
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    meet(b,a) != meet(a,b),
    inference(fof_simplification,[status(thm)],[prove_commutativity_of_meet]) ).

cnf(c_0_17,plain,
    meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    meet(b,a) != meet(a,b),
    c_0_16 ).

cnf(c_0_19,plain,
    meet(X1,X2) = meet(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : LAT012-1 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 08:16:41 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.KMo2uLgNuI/E---3.1_21566.p
% 0.21/0.51  # Version: 3.1.0
% 0.21/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 21654 completed with status 0
% 0.21/0.51  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.51  # No SInE strategy applied
% 0.21/0.51  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.21/0.51  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.51  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.21/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/0.51  # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.51  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.51  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.21/0.51  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 21661 completed with status 0
% 0.21/0.51  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.51  # No SInE strategy applied
% 0.21/0.51  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.21/0.51  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.51  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.21/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.001 s
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Unsatisfiable
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 5
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 5
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 5
% 0.21/0.51  # Processed clauses                    : 58
% 0.21/0.51  # ...of these trivial                  : 28
% 0.21/0.51  # ...subsumed                          : 0
% 0.21/0.51  # ...remaining for further processing  : 30
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 0
% 0.21/0.51  # Backward-rewritten                   : 8
% 0.21/0.51  # Generated clauses                    : 633
% 0.21/0.51  # ...of the previous two non-redundant : 257
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 0
% 0.21/0.51  # Paramodulations                      : 633
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 498
% 0.21/0.51  # ...of those cached                   : 365
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 22
% 0.21/0.51  #    Positive orientable unit clauses  : 21
% 0.21/0.51  #    Positive unorientable unit clauses: 1
% 0.21/0.51  #    Negative unit clauses             : 0
% 0.21/0.51  #    Non-unit-clauses                  : 0
% 0.21/0.51  # Current number of unprocessed clauses: 201
% 0.21/0.51  # ...number of literals in the above   : 201
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 8
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 0
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 0
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 0
% 0.21/0.52  # Unit Clause-clause subsumption calls : 9
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 103
% 0.21/0.52  # BW rewrite match successes           : 52
% 0.21/0.52  # Condensation attempts                : 0
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 3418
% 0.21/0.52  # Search garbage collected termcells   : 2
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.009 s
% 0.21/0.52  # System time              : 0.003 s
% 0.21/0.52  # Total time               : 0.012 s
% 0.21/0.52  # Maximum resident set size: 1548 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.035 s
% 0.21/0.52  # System time              : 0.012 s
% 0.21/0.52  # Total time               : 0.047 s
% 0.21/0.52  # Maximum resident set size: 1688 pages
% 0.21/0.52  % E---3.1 exiting
% 0.21/0.52  % E exiting
%------------------------------------------------------------------------------