TSTP Solution File: CAT017-3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CAT017-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 07:27:44 EDT 2024

% Result   : Unsatisfiable 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  10 RR)
%            Number of literals    :   16 (   2 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 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   :    9 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(composition_implies_codomain,axiom,
    ( there_exists(codomain(X1))
    | ~ there_exists(compose(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.0j0dKPqagV/E---3.1_14907.p',composition_implies_codomain) ).

cnf(compose_domain,axiom,
    compose(X1,domain(X1)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.0j0dKPqagV/E---3.1_14907.p',compose_domain) ).

cnf(prove_codomain_of_a_exists,negated_conjecture,
    ~ there_exists(codomain(a)),
    file('/export/starexec/sandbox/tmp/tmp.0j0dKPqagV/E---3.1_14907.p',prove_codomain_of_a_exists) ).

cnf(assume_a_exists,hypothesis,
    there_exists(a),
    file('/export/starexec/sandbox/tmp/tmp.0j0dKPqagV/E---3.1_14907.p',assume_a_exists) ).

cnf(c_0_4,plain,
    ( there_exists(codomain(X1))
    | ~ there_exists(compose(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[composition_implies_codomain]) ).

cnf(c_0_5,plain,
    ( there_exists(codomain(X1))
    | ~ there_exists(compose(X1,X2)) ),
    c_0_4 ).

cnf(c_0_6,axiom,
    compose(X1,domain(X1)) = X1,
    compose_domain ).

cnf(c_0_7,negated_conjecture,
    ~ there_exists(codomain(a)),
    inference(fof_simplification,[status(thm)],[prove_codomain_of_a_exists]) ).

cnf(c_0_8,plain,
    ( there_exists(codomain(X1))
    | ~ there_exists(X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,hypothesis,
    there_exists(a),
    assume_a_exists ).

cnf(c_0_10,negated_conjecture,
    ~ there_exists(codomain(a)),
    c_0_7 ).

cnf(c_0_11,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : CAT017-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n008.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri May  3 11:21:27 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.0j0dKPqagV/E---3.1_14907.p
% 0.17/0.45  # Version: 3.1.0
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting sh5l with 300s (1) cores
% 0.17/0.45  # new_bool_3 with pid 14985 completed with status 0
% 0.17/0.45  # Result found by new_bool_3
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FHUSS-FFSF21-SFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I with 181s (1) cores
% 0.17/0.45  # G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I with pid 14989 completed with status 0
% 0.17/0.45  # Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FHUSS-FFSF21-SFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I with 181s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.001 s
% 0.17/0.45  # Presaturation interreduction done
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Unsatisfiable
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 19
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 8
% 0.17/0.45  # Initial clauses                      : 11
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 11
% 0.17/0.45  # Processed clauses                    : 23
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 0
% 0.17/0.45  # ...remaining for further processing  : 23
% 0.17/0.45  # Other redundant clauses eliminated   : 0
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 0
% 0.17/0.45  # Backward-rewritten                   : 0
% 0.17/0.45  # Generated clauses                    : 14
% 0.17/0.45  # ...of the previous two non-redundant : 12
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 0
% 0.17/0.45  # Paramodulations                      : 14
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 0
% 0.17/0.45  # Disequality decompositions           : 0
% 0.17/0.45  # Total rewrite steps                  : 3
% 0.17/0.45  # ...of those cached                   : 0
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 12
% 0.17/0.45  #    Positive orientable unit clauses  : 4
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 1
% 0.17/0.45  #    Non-unit-clauses                  : 7
% 0.17/0.45  # Current number of unprocessed clauses: 11
% 0.17/0.45  # ...number of literals in the above   : 19
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 11
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 7
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 7
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.45  # Unit Clause-clause subsumption calls : 0
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 0
% 0.17/0.45  # BW rewrite match successes           : 0
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 458
% 0.17/0.45  # Search garbage collected termcells   : 41
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.002 s
% 0.17/0.45  # System time              : 0.001 s
% 0.17/0.45  # Total time               : 0.004 s
% 0.17/0.45  # Maximum resident set size: 1596 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.004 s
% 0.17/0.45  # System time              : 0.003 s
% 0.17/0.45  # Total time               : 0.006 s
% 0.17/0.45  # Maximum resident set size: 1696 pages
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------