TSTP Solution File: SYN350-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 20:30:02 EDT 2023

% Result   : Unsatisfiable 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (   4 unt;   5 nHn;  13 RR)
%            Number of literals    :   36 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   31 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause5,negated_conjecture,
    ( f(a,z(X1,X2))
    | f(X2,z(X1,X2))
    | ~ f(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.JxjRsh0k1T/E---3.1_7214.p',clause5) ).

cnf(clause1,negated_conjecture,
    ( f(z(X1,X2),a)
    | ~ f(a,z(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JxjRsh0k1T/E---3.1_7214.p',clause1) ).

cnf(clause6,negated_conjecture,
    ( ~ f(a,z(X1,X2))
    | ~ f(X2,z(X1,X2))
    | ~ f(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.JxjRsh0k1T/E---3.1_7214.p',clause6) ).

cnf(clause2,negated_conjecture,
    ( f(a,z(X1,X2))
    | ~ f(z(X1,X2),a) ),
    file('/export/starexec/sandbox2/tmp/tmp.JxjRsh0k1T/E---3.1_7214.p',clause2) ).

cnf(clause3,negated_conjecture,
    ( f(a,z(X1,X2))
    | f(X2,z(X1,X2))
    | f(X1,z(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JxjRsh0k1T/E---3.1_7214.p',clause3) ).

cnf(c_0_5,negated_conjecture,
    ( f(a,z(X1,X2))
    | f(X2,z(X1,X2))
    | ~ f(X1,X2) ),
    clause5 ).

cnf(c_0_6,negated_conjecture,
    ( f(z(X1,X2),a)
    | ~ f(a,z(X1,X2)) ),
    clause1 ).

cnf(c_0_7,negated_conjecture,
    ( ~ f(a,z(X1,X2))
    | ~ f(X2,z(X1,X2))
    | ~ f(X1,X2) ),
    clause6 ).

cnf(c_0_8,negated_conjecture,
    ( f(a,z(z(X1,X2),a))
    | ~ f(a,z(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ( f(a,z(X1,X2))
    | ~ f(z(X1,X2),a) ),
    clause2 ).

cnf(c_0_10,negated_conjecture,
    ( ~ f(a,z(z(X1,X2),a))
    | ~ f(z(X1,X2),a) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    ~ f(z(X1,X2),a),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_8]),c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( f(a,z(X1,X2))
    | f(X2,z(X1,X2))
    | f(X1,z(X1,X2)) ),
    clause3 ).

cnf(c_0_13,negated_conjecture,
    ~ f(a,z(X1,X2)),
    inference(spm,[status(thm)],[c_0_11,c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    ( f(X1,z(X1,X2))
    | f(X2,z(X1,X2)) ),
    inference(sr,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    f(X1,z(X1,a)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_13,c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 18:34:51 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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/tmp/tmp.JxjRsh0k1T/E---3.1_7214.p
% 0.17/0.45  # Version: 3.1pre001
% 0.17/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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_1 with pid 7293 completed with status 0
% 0.17/0.45  # Result found by new_bool_1
% 0.17/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGHNF-FFSF22-SFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.45  # SAT001_MinMin_p005000_rr_RG with pid 7296 completed with status 0
% 0.17/0.45  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGHNF-FFSF22-SFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG 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                        : 6
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.45  # Initial clauses                      : 6
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 6
% 0.17/0.45  # Processed clauses                    : 18
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 0
% 0.17/0.45  # ...remaining for further processing  : 18
% 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                    : 6
% 0.17/0.45  # Backward-rewritten                   : 0
% 0.17/0.45  # Generated clauses                    : 27
% 0.17/0.45  # ...of the previous two non-redundant : 22
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 2
% 0.17/0.45  # Paramodulations                      : 18
% 0.17/0.45  # Factorizations                       : 8
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 0
% 0.17/0.45  # Total rewrite steps                  : 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  : 5
% 0.17/0.45  #    Positive orientable unit clauses  : 1
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 2
% 0.17/0.45  #    Non-unit-clauses                  : 2
% 0.17/0.45  # Current number of unprocessed clauses: 16
% 0.17/0.45  # ...number of literals in the above   : 37
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 13
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 25
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 25
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 2
% 0.17/0.45  # Unit Clause-clause subsumption calls : 12
% 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          : 614
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.003 s
% 0.17/0.45  # System time              : 0.000 s
% 0.17/0.45  # Total time               : 0.003 s
% 0.17/0.45  # Maximum resident set size: 1636 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.003 s
% 0.17/0.45  # System time              : 0.002 s
% 0.17/0.45  # Total time               : 0.006 s
% 0.17/0.45  # Maximum resident set size: 1672 pages
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------