TSTP Solution File: CAT012-3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CAT012-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 07:27:24 EDT 2024

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  14 RR)
%            Number of literals    :   23 (   9 equ;  10 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(domain_codomain_composition1,axiom,
    ( domain(X1) = codomain(X2)
    | ~ there_exists(compose(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.nJKvzXQVVH/E---3.1_7273.p',domain_codomain_composition1) ).

cnf(domain_has_elements,axiom,
    ( there_exists(X1)
    | ~ there_exists(domain(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.nJKvzXQVVH/E---3.1_7273.p',domain_has_elements) ).

cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
    codomain(domain(a)) != domain(a),
    file('/export/starexec/sandbox2/tmp/tmp.nJKvzXQVVH/E---3.1_7273.p',prove_codomain_of_domain_is_domain) ).

cnf(compose_domain,axiom,
    compose(X1,domain(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.nJKvzXQVVH/E---3.1_7273.p',compose_domain) ).

cnf(assume_domain_exists,hypothesis,
    there_exists(domain(a)),
    file('/export/starexec/sandbox2/tmp/tmp.nJKvzXQVVH/E---3.1_7273.p',assume_domain_exists) ).

cnf(c_0_5,plain,
    ( domain(X1) = codomain(X2)
    | ~ there_exists(compose(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[domain_codomain_composition1]) ).

cnf(c_0_6,plain,
    ( there_exists(X1)
    | ~ there_exists(domain(X1)) ),
    inference(fof_simplification,[status(thm)],[domain_has_elements]) ).

cnf(c_0_7,negated_conjecture,
    codomain(domain(a)) != domain(a),
    inference(fof_simplification,[status(thm)],[prove_codomain_of_domain_is_domain]) ).

cnf(c_0_8,plain,
    ( domain(X1) = codomain(X2)
    | ~ there_exists(compose(X1,X2)) ),
    c_0_5 ).

cnf(c_0_9,axiom,
    compose(X1,domain(X1)) = X1,
    compose_domain ).

cnf(c_0_10,plain,
    ( there_exists(X1)
    | ~ there_exists(domain(X1)) ),
    c_0_6 ).

cnf(c_0_11,hypothesis,
    there_exists(domain(a)),
    assume_domain_exists ).

cnf(c_0_12,negated_conjecture,
    codomain(domain(a)) != domain(a),
    c_0_7 ).

cnf(c_0_13,plain,
    ( codomain(domain(X1)) = domain(X1)
    | ~ there_exists(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,hypothesis,
    there_exists(a),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : CAT012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n018.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 11:29:46 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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.nJKvzXQVVH/E---3.1_7273.p
% 0.15/0.42  # Version: 3.1.0
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # sh5l with pid 7361 completed with status 0
% 0.15/0.42  # Result found by sh5l
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.42  # Search class: FGUSS-FFSF21-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.42  # SAT001_MinMin_p005000_rr_RG with pid 7367 completed with status 0
% 0.15/0.42  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.42  # Search class: FGUSS-FFSF21-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Unsatisfiable
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 19
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.42  # Initial clauses                      : 19
% 0.15/0.42  # Removed in clause preprocessing      : 1
% 0.15/0.42  # Initial clauses in saturation        : 18
% 0.15/0.42  # Processed clauses                    : 46
% 0.15/0.42  # ...of these trivial                  : 0
% 0.15/0.42  # ...subsumed                          : 3
% 0.15/0.42  # ...remaining for further processing  : 43
% 0.15/0.42  # Other redundant clauses eliminated   : 2
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 0
% 0.15/0.42  # Backward-rewritten                   : 0
% 0.15/0.42  # Generated clauses                    : 42
% 0.15/0.42  # ...of the previous two non-redundant : 29
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 0
% 0.15/0.42  # Paramodulations                      : 38
% 0.15/0.42  # Factorizations                       : 2
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 2
% 0.15/0.42  # Disequality decompositions           : 0
% 0.15/0.42  # Total rewrite steps                  : 4
% 0.15/0.42  # ...of those cached                   : 0
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 24
% 0.15/0.42  #    Positive orientable unit clauses  : 5
% 0.15/0.42  #    Positive unorientable unit clauses: 0
% 0.15/0.42  #    Negative unit clauses             : 1
% 0.15/0.42  #    Non-unit-clauses                  : 18
% 0.15/0.42  # Current number of unprocessed clauses: 14
% 0.15/0.42  # ...number of literals in the above   : 31
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 17
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 29
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 28
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 3
% 0.15/0.42  # Unit Clause-clause subsumption calls : 0
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 0
% 0.15/0.42  # BW rewrite match successes           : 0
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 824
% 0.15/0.42  # Search garbage collected termcells   : 28
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.003 s
% 0.15/0.42  # System time              : 0.001 s
% 0.15/0.42  # Total time               : 0.004 s
% 0.15/0.42  # Maximum resident set size: 1580 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.004 s
% 0.15/0.42  # System time              : 0.003 s
% 0.15/0.42  # Total time               : 0.007 s
% 0.15/0.42  # Maximum resident set size: 1700 pages
% 0.15/0.42  % E---3.1 exiting
% 0.15/0.42  % E exiting
%------------------------------------------------------------------------------