TSTP Solution File: CAT011-4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CAT011-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : Mon May 20 18:59:12 EDT 2024

% Result   : Unsatisfiable 0.09s 0.33s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (  13 unt;   0 nHn;  16 RR)
%            Number of literals    :   27 (  13 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   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(domain_codomain_composition1,axiom,
    ( domain(X1) = codomain(X2)
    | ~ there_exists(compose(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).

cnf(domain_has_elements,axiom,
    ( there_exists(X1)
    | ~ there_exists(domain(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).

cnf(compose_domain,axiom,
    compose(X1,domain(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_domain) ).

cnf(assume_domain_exists,hypothesis,
    there_exists(domain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).

cnf(compose_codomain,axiom,
    compose(codomain(X1),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).

cnf(prove_domain_is_idempotent,negated_conjecture,
    domain(domain(a)) != domain(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).

cnf(c_0_6,plain,
    ( domain(X1) = codomain(X2)
    | ~ there_exists(compose(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[domain_codomain_composition1]) ).

cnf(c_0_7,plain,
    ( there_exists(X1)
    | ~ there_exists(domain(X1)) ),
    inference(fof_simplification,[status(thm)],[domain_has_elements]) ).

cnf(c_0_8,plain,
    ( domain(X1) = codomain(X2)
    | ~ there_exists(compose(X1,X2)) ),
    c_0_6 ).

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_7 ).

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

cnf(c_0_12,plain,
    ( codomain(domain(X1)) = domain(X1)
    | ~ there_exists(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,hypothesis,
    there_exists(a),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,axiom,
    compose(codomain(X1),X1) = X1,
    compose_codomain ).

cnf(c_0_15,hypothesis,
    codomain(domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    domain(domain(a)) != domain(a),
    inference(fof_simplification,[status(thm)],[prove_domain_is_idempotent]) ).

cnf(c_0_17,hypothesis,
    compose(domain(a),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    domain(domain(a)) != domain(a),
    c_0_16 ).

cnf(c_0_19,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_17]),c_0_15]),c_0_11])]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06  % Problem    : CAT011-4 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.07  % Command    : run_E %s %d THM
% 0.07/0.25  % Computer : n016.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit   : 300
% 0.07/0.25  % WCLimit    : 300
% 0.07/0.25  % DateTime   : Sat May 18 11:33:52 EDT 2024
% 0.07/0.25  % CPUTime    : 
% 0.09/0.32  Running first-order theorem proving
% 0.09/0.32  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/benchmark/theBenchmark.p
% 0.09/0.33  # Version: 3.1.0
% 0.09/0.33  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.33  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.33  # Starting new_bool_3 with 300s (1) cores
% 0.09/0.33  # Starting new_bool_1 with 300s (1) cores
% 0.09/0.33  # Starting sh5l with 300s (1) cores
% 0.09/0.33  # new_bool_3 with pid 7795 completed with status 0
% 0.09/0.33  # Result found by new_bool_3
% 0.09/0.33  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.33  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.33  # Starting new_bool_3 with 300s (1) cores
% 0.09/0.33  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.33  # Search class: FHUSS-FFSF21-SFFFFFNN
% 0.09/0.33  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.33  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I with 181s (1) cores
% 0.09/0.33  # G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I with pid 7799 completed with status 0
% 0.09/0.33  # Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I
% 0.09/0.33  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.33  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.33  # Starting new_bool_3 with 300s (1) cores
% 0.09/0.33  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.33  # Search class: FHUSS-FFSF21-SFFFFFNN
% 0.09/0.33  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.33  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I with 181s (1) cores
% 0.09/0.33  # Preprocessing time       : 0.001 s
% 0.09/0.33  # Presaturation interreduction done
% 0.09/0.33  
% 0.09/0.33  # Proof found!
% 0.09/0.33  # SZS status Unsatisfiable
% 0.09/0.33  # SZS output start CNFRefutation
% See solution above
% 0.09/0.33  # Parsed axioms                        : 13
% 0.09/0.33  # Removed by relevancy pruning/SinE    : 3
% 0.09/0.33  # Initial clauses                      : 10
% 0.09/0.33  # Removed in clause preprocessing      : 0
% 0.09/0.33  # Initial clauses in saturation        : 10
% 0.09/0.33  # Processed clauses                    : 40
% 0.09/0.33  # ...of these trivial                  : 0
% 0.09/0.33  # ...subsumed                          : 0
% 0.09/0.33  # ...remaining for further processing  : 40
% 0.09/0.33  # Other redundant clauses eliminated   : 0
% 0.09/0.33  # Clauses deleted for lack of memory   : 0
% 0.09/0.33  # Backward-subsumed                    : 0
% 0.09/0.33  # Backward-rewritten                   : 1
% 0.09/0.33  # Generated clauses                    : 97
% 0.09/0.33  # ...of the previous two non-redundant : 78
% 0.09/0.33  # ...aggressively subsumed             : 0
% 0.09/0.33  # Contextual simplify-reflections      : 0
% 0.09/0.33  # Paramodulations                      : 97
% 0.09/0.33  # Factorizations                       : 0
% 0.09/0.33  # NegExts                              : 0
% 0.09/0.33  # Equation resolutions                 : 0
% 0.09/0.33  # Disequality decompositions           : 0
% 0.09/0.33  # Total rewrite steps                  : 36
% 0.09/0.33  # ...of those cached                   : 16
% 0.09/0.33  # Propositional unsat checks           : 0
% 0.09/0.33  #    Propositional check models        : 0
% 0.09/0.33  #    Propositional check unsatisfiable : 0
% 0.09/0.33  #    Propositional clauses             : 0
% 0.09/0.33  #    Propositional clauses after purity: 0
% 0.09/0.33  #    Propositional unsat core size     : 0
% 0.09/0.33  #    Propositional preprocessing time  : 0.000
% 0.09/0.33  #    Propositional encoding time       : 0.000
% 0.09/0.33  #    Propositional solver time         : 0.000
% 0.09/0.33  #    Success case prop preproc time    : 0.000
% 0.09/0.33  #    Success case prop encoding time   : 0.000
% 0.09/0.33  #    Success case prop solver time     : 0.000
% 0.09/0.33  # Current number of processed clauses  : 29
% 0.09/0.33  #    Positive orientable unit clauses  : 19
% 0.09/0.33  #    Positive unorientable unit clauses: 0
% 0.09/0.33  #    Negative unit clauses             : 1
% 0.09/0.33  #    Non-unit-clauses                  : 9
% 0.09/0.33  # Current number of unprocessed clauses: 56
% 0.09/0.33  # ...number of literals in the above   : 77
% 0.09/0.33  # Current number of archived formulas  : 0
% 0.09/0.33  # Current number of archived clauses   : 11
% 0.09/0.33  # Clause-clause subsumption calls (NU) : 10
% 0.09/0.33  # Rec. Clause-clause subsumption calls : 10
% 0.09/0.33  # Non-unit clause-clause subsumptions  : 0
% 0.09/0.33  # Unit Clause-clause subsumption calls : 0
% 0.09/0.33  # Rewrite failures with RHS unbound    : 0
% 0.09/0.33  # BW rewrite match attempts            : 22
% 0.09/0.33  # BW rewrite match successes           : 1
% 0.09/0.33  # Condensation attempts                : 0
% 0.09/0.33  # Condensation successes               : 0
% 0.09/0.33  # Termbank termtop insertions          : 1265
% 0.09/0.33  # Search garbage collected termcells   : 23
% 0.09/0.33  
% 0.09/0.33  # -------------------------------------------------
% 0.09/0.33  # User time                : 0.002 s
% 0.09/0.33  # System time              : 0.001 s
% 0.09/0.33  # Total time               : 0.003 s
% 0.09/0.33  # Maximum resident set size: 1612 pages
% 0.09/0.33  
% 0.09/0.33  # -------------------------------------------------
% 0.09/0.33  # User time                : 0.003 s
% 0.09/0.33  # System time              : 0.002 s
% 0.09/0.33  # Total time               : 0.005 s
% 0.09/0.33  # Maximum resident set size: 1704 pages
% 0.09/0.33  % E---3.1 exiting
% 0.09/0.33  % E exiting
%------------------------------------------------------------------------------