TSTP Solution File: SET045-5 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET045-5 : 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:21:48 EDT 2023

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   10 (   5 unt;   3 nHn;   6 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   13 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_3,axiom,
    ( element(X1,X1)
    | element(X1,f(X2))
    | ~ element(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.RN9E3yAI4H/E---3.1_16269.p',clause_3) ).

cnf(clause_4,negated_conjecture,
    element(X1,a),
    file('/export/starexec/sandbox/tmp/tmp.RN9E3yAI4H/E---3.1_16269.p',clause_4) ).

cnf(clause_2,axiom,
    ( ~ element(X1,f(X2))
    | ~ element(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.RN9E3yAI4H/E---3.1_16269.p',clause_2) ).

cnf(c_0_3,axiom,
    ( element(X1,X1)
    | element(X1,f(X2))
    | ~ element(X1,X2) ),
    clause_3 ).

cnf(c_0_4,negated_conjecture,
    element(X1,a),
    clause_4 ).

cnf(c_0_5,axiom,
    ( ~ element(X1,f(X2))
    | ~ element(X1,X1) ),
    clause_2 ).

cnf(c_0_6,negated_conjecture,
    ( element(X1,f(a))
    | element(X1,X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    element(f(X1),f(a)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    ~ element(f(X1),f(X1)),
    inference(spm,[status(thm)],[c_0_5,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_8,c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SET045-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n008.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Oct  2 16:41:28 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.14/0.40  Running first-order model finding
% 0.14/0.40  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.RN9E3yAI4H/E---3.1_16269.p
% 0.14/0.41  # Version: 3.1pre001
% 0.14/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # new_bool_3 with pid 16347 completed with status 0
% 0.14/0.41  # Result found by new_bool_3
% 0.14/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.41  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.14/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.41  # SAT001_MinMin_p005000_rr_RG with pid 16351 completed with status 0
% 0.14/0.41  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.41  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.14/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.41  # Preprocessing time       : 0.001 s
% 0.14/0.41  # Presaturation interreduction done
% 0.14/0.41  
% 0.14/0.41  # Proof found!
% 0.14/0.41  # SZS status Unsatisfiable
% 0.14/0.41  # SZS output start CNFRefutation
% See solution above
% 0.14/0.41  # Parsed axioms                        : 4
% 0.14/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.41  # Initial clauses                      : 4
% 0.14/0.41  # Removed in clause preprocessing      : 0
% 0.14/0.41  # Initial clauses in saturation        : 4
% 0.14/0.41  # Processed clauses                    : 11
% 0.14/0.41  # ...of these trivial                  : 0
% 0.14/0.41  # ...subsumed                          : 0
% 0.14/0.41  # ...remaining for further processing  : 11
% 0.14/0.41  # Other redundant clauses eliminated   : 0
% 0.14/0.41  # Clauses deleted for lack of memory   : 0
% 0.14/0.41  # Backward-subsumed                    : 0
% 0.14/0.41  # Backward-rewritten                   : 0
% 0.14/0.41  # Generated clauses                    : 14
% 0.14/0.41  # ...of the previous two non-redundant : 9
% 0.14/0.41  # ...aggressively subsumed             : 0
% 0.14/0.41  # Contextual simplify-reflections      : 1
% 0.14/0.41  # Paramodulations                      : 12
% 0.14/0.41  # Factorizations                       : 2
% 0.14/0.41  # NegExts                              : 0
% 0.14/0.41  # Equation resolutions                 : 0
% 0.14/0.41  # Total rewrite steps                  : 3
% 0.14/0.41  # Propositional unsat checks           : 0
% 0.14/0.41  #    Propositional check models        : 0
% 0.14/0.41  #    Propositional check unsatisfiable : 0
% 0.14/0.41  #    Propositional clauses             : 0
% 0.14/0.41  #    Propositional clauses after purity: 0
% 0.14/0.41  #    Propositional unsat core size     : 0
% 0.14/0.41  #    Propositional preprocessing time  : 0.000
% 0.14/0.41  #    Propositional encoding time       : 0.000
% 0.14/0.41  #    Propositional solver time         : 0.000
% 0.14/0.41  #    Success case prop preproc time    : 0.000
% 0.14/0.41  #    Success case prop encoding time   : 0.000
% 0.14/0.41  #    Success case prop solver time     : 0.000
% 0.14/0.41  # Current number of processed clauses  : 7
% 0.14/0.41  #    Positive orientable unit clauses  : 2
% 0.14/0.41  #    Positive unorientable unit clauses: 0
% 0.14/0.41  #    Negative unit clauses             : 1
% 0.14/0.41  #    Non-unit-clauses                  : 4
% 0.14/0.41  # Current number of unprocessed clauses: 6
% 0.14/0.41  # ...number of literals in the above   : 11
% 0.14/0.41  # Current number of archived formulas  : 0
% 0.14/0.41  # Current number of archived clauses   : 4
% 0.14/0.41  # Clause-clause subsumption calls (NU) : 8
% 0.14/0.41  # Rec. Clause-clause subsumption calls : 8
% 0.14/0.41  # Non-unit clause-clause subsumptions  : 1
% 0.14/0.41  # Unit Clause-clause subsumption calls : 0
% 0.14/0.41  # Rewrite failures with RHS unbound    : 0
% 0.14/0.41  # BW rewrite match attempts            : 0
% 0.14/0.41  # BW rewrite match successes           : 0
% 0.14/0.41  # Condensation attempts                : 0
% 0.14/0.41  # Condensation successes               : 0
% 0.14/0.41  # Termbank termtop insertions          : 222
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.001 s
% 0.14/0.41  # System time              : 0.002 s
% 0.14/0.41  # Total time               : 0.003 s
% 0.14/0.41  # Maximum resident set size: 1628 pages
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.002 s
% 0.14/0.41  # System time              : 0.003 s
% 0.14/0.41  # Total time               : 0.005 s
% 0.14/0.41  # Maximum resident set size: 1672 pages
% 0.14/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------