TSTP Solution File: GRP149-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP149-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:39:00 EDT 2023

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;  12 RR)
%            Number of literals    :   21 (  20 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ax_lub1d_1,hypothesis,
    greatest_lower_bound(a,c) = a,
    file('/export/starexec/sandbox2/tmp/tmp.iHJG89Dcg9/E---3.1_12936.p',ax_lub1d_1) ).

cnf(symmetry_of_glb,axiom,
    greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.iHJG89Dcg9/E---3.1_12936.p',symmetry_of_glb) ).

cnf(lub_absorbtion,axiom,
    least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.iHJG89Dcg9/E---3.1_12936.p',lub_absorbtion) ).

cnf(ax_lub1d_2,hypothesis,
    greatest_lower_bound(b,c) = b,
    file('/export/starexec/sandbox2/tmp/tmp.iHJG89Dcg9/E---3.1_12936.p',ax_lub1d_2) ).

cnf(prove_ax_lub1d,negated_conjecture,
    least_upper_bound(least_upper_bound(a,b),c) != c,
    file('/export/starexec/sandbox2/tmp/tmp.iHJG89Dcg9/E---3.1_12936.p',prove_ax_lub1d) ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.iHJG89Dcg9/E---3.1_12936.p',symmetry_of_lub) ).

cnf(associativity_of_lub,axiom,
    least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3),
    file('/export/starexec/sandbox2/tmp/tmp.iHJG89Dcg9/E---3.1_12936.p',associativity_of_lub) ).

cnf(c_0_7,hypothesis,
    greatest_lower_bound(a,c) = a,
    ax_lub1d_1 ).

cnf(c_0_8,axiom,
    greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
    symmetry_of_glb ).

cnf(c_0_9,axiom,
    least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
    lub_absorbtion ).

cnf(c_0_10,hypothesis,
    greatest_lower_bound(c,a) = a,
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,hypothesis,
    greatest_lower_bound(b,c) = b,
    ax_lub1d_2 ).

cnf(c_0_12,negated_conjecture,
    least_upper_bound(least_upper_bound(a,b),c) != c,
    prove_ax_lub1d ).

cnf(c_0_13,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    symmetry_of_lub ).

cnf(c_0_14,axiom,
    least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3),
    associativity_of_lub ).

cnf(c_0_15,hypothesis,
    least_upper_bound(c,a) = c,
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_16,hypothesis,
    greatest_lower_bound(c,b) = b,
    inference(rw,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_17,negated_conjecture,
    least_upper_bound(c,least_upper_bound(a,b)) != c,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,hypothesis,
    least_upper_bound(c,least_upper_bound(a,X1)) = least_upper_bound(c,X1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,hypothesis,
    least_upper_bound(c,b) = c,
    inference(spm,[status(thm)],[c_0_9,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP149-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 02:35:55 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.iHJG89Dcg9/E---3.1_12936.p
% 0.19/0.49  # Version: 3.1pre001
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # new_bool_1 with pid 13017 completed with status 0
% 0.19/0.49  # Result found by new_bool_1
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FUUPM-FFSF22-SFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.49  # SAT001_MinMin_p005000_rr_RG with pid 13022 completed with status 0
% 0.19/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FUUPM-FFSF22-SFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.001 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Unsatisfiable
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 18
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 2
% 0.19/0.49  # Initial clauses                      : 16
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 16
% 0.19/0.49  # Processed clauses                    : 37
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 0
% 0.19/0.49  # ...remaining for further processing  : 37
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 4
% 0.19/0.49  # Generated clauses                    : 66
% 0.19/0.49  # ...of the previous two non-redundant : 44
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 0
% 0.19/0.49  # Paramodulations                      : 66
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Total rewrite steps                  : 49
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 17
% 0.19/0.49  #    Positive orientable unit clauses  : 15
% 0.19/0.49  #    Positive unorientable unit clauses: 2
% 0.19/0.49  #    Negative unit clauses             : 0
% 0.19/0.49  #    Non-unit-clauses                  : 0
% 0.19/0.49  # Current number of unprocessed clauses: 39
% 0.19/0.49  # ...number of literals in the above   : 39
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 20
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.49  # Unit Clause-clause subsumption calls : 0
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 42
% 0.19/0.49  # BW rewrite match successes           : 33
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 727
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.004 s
% 0.19/0.49  # System time              : 0.000 s
% 0.19/0.49  # Total time               : 0.005 s
% 0.19/0.49  # Maximum resident set size: 1620 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.004 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.008 s
% 0.19/0.49  # Maximum resident set size: 1676 pages
% 0.19/0.49  % E---3.1 exiting
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------