TSTP Solution File: CAT014-3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CAT014-3 : TPTP v8.2.0. Released v1.0.0.
% 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 : Mon May 20 18:59:35 EDT 2024

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% 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/CAT003-0.ax',domain_codomain_composition1) ).

cnf(codomain_has_elements,axiom,
    ( there_exists(X1)
    | ~ there_exists(codomain(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',codomain_has_elements) ).

cnf(compose_codomain,axiom,
    compose(codomain(X1),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).

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

cnf(compose_domain,axiom,
    compose(X1,domain(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_domain) ).

cnf(prove_codomain_is_idempotent,negated_conjecture,
    codomain(codomain(a)) != codomain(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_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(codomain(X1)) ),
    inference(fof_simplification,[status(thm)],[codomain_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(codomain(X1),X1) = X1,
    compose_codomain ).

cnf(c_0_10,plain,
    ( there_exists(X1)
    | ~ there_exists(codomain(X1)) ),
    c_0_7 ).

cnf(c_0_11,hypothesis,
    there_exists(codomain(a)),
    assume_codomain_exists ).

cnf(c_0_12,plain,
    ( domain(codomain(X1)) = codomain(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(X1,domain(X1)) = X1,
    compose_domain ).

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

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

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

cnf(c_0_18,negated_conjecture,
    codomain(codomain(a)) != codomain(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
% 0.08/0.13  % Problem    : CAT014-3 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 11:41:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  Running first-order model finding
% 0.19/0.48  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  # Version: 3.1.0
% 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_3 with pid 27642 completed with status 0
% 0.19/0.49  # Result found by new_bool_3
% 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FHUSS-FFSF21-SFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I with 181s (1) cores
% 0.19/0.49  # G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I with pid 27645 completed with status 0
% 0.19/0.49  # Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I
% 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FHUSS-FFSF21-SFFFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I 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                        : 19
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 8
% 0.19/0.49  # Initial clauses                      : 11
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 11
% 0.19/0.49  # Processed clauses                    : 31
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 0
% 0.19/0.49  # ...remaining for further processing  : 31
% 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                   : 0
% 0.19/0.49  # Generated clauses                    : 45
% 0.19/0.49  # ...of the previous two non-redundant : 34
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 0
% 0.19/0.49  # Paramodulations                      : 45
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 30
% 0.19/0.49  # ...of those cached                   : 17
% 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  : 20
% 0.19/0.49  #    Positive orientable unit clauses  : 11
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 1
% 0.19/0.49  #    Non-unit-clauses                  : 8
% 0.19/0.49  # Current number of unprocessed clauses: 24
% 0.19/0.49  # ...number of literals in the above   : 36
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 11
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 7
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 7
% 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            : 1
% 0.19/0.49  # BW rewrite match successes           : 0
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 765
% 0.19/0.49  # Search garbage collected termcells   : 41
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.002 s
% 0.19/0.49  # System time              : 0.002 s
% 0.19/0.49  # Total time               : 0.004 s
% 0.19/0.49  # Maximum resident set size: 1588 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.002 s
% 0.19/0.49  # System time              : 0.005 s
% 0.19/0.49  # Total time               : 0.007 s
% 0.19/0.49  # Maximum resident set size: 1708 pages
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------