TSTP Solution File: SYN699-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN699-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:18:11 EDT 2023

% Result   : Unsatisfiable 0.11s 0.39s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  13 unt;   0 nHn;  18 RR)
%            Number of literals    :   36 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_42,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p',p2_42) ).

cnf(p2_12,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p',p2_12) ).

cnf(p2_55,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p',p2_55) ).

cnf(not_p2_56,negated_conjecture,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p',not_p2_56) ).

cnf(p2_62,negated_conjecture,
    ( p2(f11(X1,X2),f11(X3,X4))
    | ~ p10(X2,X4)
    | ~ p3(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p',p2_62) ).

cnf(p3_31,negated_conjecture,
    ( p3(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p',p3_31) ).

cnf(p2_18,negated_conjecture,
    p2(c44,c46),
    file('/export/starexec/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p',p2_18) ).

cnf(p10_7,negated_conjecture,
    p10(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p',p10_7) ).

cnf(c_0_8,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    p2_42 ).

cnf(c_0_9,negated_conjecture,
    p2(X1,X1),
    p2_12 ).

cnf(c_0_10,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    p2_55 ).

cnf(c_0_12,negated_conjecture,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    not_p2_56 ).

cnf(c_0_14,negated_conjecture,
    ( p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
    | ~ p2(f11(f4(c44),c43),X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( p2(f11(X1,X2),f11(X3,X4))
    | ~ p10(X2,X4)
    | ~ p3(X1,X3) ),
    p2_62 ).

cnf(c_0_16,negated_conjecture,
    ( p3(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    p3_31 ).

cnf(c_0_17,negated_conjecture,
    ~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ( p2(f11(f4(X1),X2),f11(f4(X3),X4))
    | ~ p2(X1,X3)
    | ~ p10(X2,X4) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    p2(c44,c46),
    p2_18 ).

cnf(c_0_20,negated_conjecture,
    p10(X1,X1),
    p10_7 ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem    : SYN699-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.08  % Command    : run_E %s %d THM
% 0.08/0.26  % Computer : n016.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit   : 2400
% 0.08/0.26  % WCLimit    : 300
% 0.08/0.26  % DateTime   : Mon Oct  2 18:41:06 EDT 2023
% 0.08/0.26  % CPUTime    : 
% 0.11/0.34  Running first-order theorem proving
% 0.11/0.34  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.bxB2JdftaX/E---3.1_1896.p
% 0.11/0.39  # Version: 3.1pre001
% 0.11/0.39  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.39  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.39  # Starting new_bool_3 with 300s (1) cores
% 0.11/0.39  # Starting new_bool_1 with 300s (1) cores
% 0.11/0.39  # Starting sh5l with 300s (1) cores
% 0.11/0.39  # new_bool_3 with pid 1975 completed with status 0
% 0.11/0.39  # Result found by new_bool_3
% 0.11/0.39  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.39  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.39  # Starting new_bool_3 with 300s (1) cores
% 0.11/0.39  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.39  # Search class: FGHNM-FFMM21-MFFFFFNN
% 0.11/0.39  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.39  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.11/0.39  # SAT001_MinMin_p005000_rr_RG with pid 1980 completed with status 0
% 0.11/0.39  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.11/0.39  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.39  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.39  # Starting new_bool_3 with 300s (1) cores
% 0.11/0.39  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.39  # Search class: FGHNM-FFMM21-MFFFFFNN
% 0.11/0.39  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.39  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.11/0.39  # Preprocessing time       : 0.002 s
% 0.11/0.39  # Presaturation interreduction done
% 0.11/0.39  
% 0.11/0.39  # Proof found!
% 0.11/0.39  # SZS status Unsatisfiable
% 0.11/0.39  # SZS output start CNFRefutation
% See solution above
% 0.11/0.39  # Parsed axioms                        : 74
% 0.11/0.39  # Removed by relevancy pruning/SinE    : 0
% 0.11/0.39  # Initial clauses                      : 74
% 0.11/0.39  # Removed in clause preprocessing      : 0
% 0.11/0.39  # Initial clauses in saturation        : 74
% 0.11/0.39  # Processed clauses                    : 833
% 0.11/0.39  # ...of these trivial                  : 0
% 0.11/0.39  # ...subsumed                          : 246
% 0.11/0.39  # ...remaining for further processing  : 587
% 0.11/0.39  # Other redundant clauses eliminated   : 0
% 0.11/0.39  # Clauses deleted for lack of memory   : 0
% 0.11/0.39  # Backward-subsumed                    : 5
% 0.11/0.39  # Backward-rewritten                   : 0
% 0.11/0.39  # Generated clauses                    : 2693
% 0.11/0.39  # ...of the previous two non-redundant : 2589
% 0.11/0.39  # ...aggressively subsumed             : 0
% 0.11/0.39  # Contextual simplify-reflections      : 1
% 0.11/0.39  # Paramodulations                      : 2693
% 0.11/0.39  # Factorizations                       : 0
% 0.11/0.39  # NegExts                              : 0
% 0.11/0.39  # Equation resolutions                 : 0
% 0.11/0.39  # Total rewrite steps                  : 227
% 0.11/0.39  # Propositional unsat checks           : 0
% 0.11/0.39  #    Propositional check models        : 0
% 0.11/0.39  #    Propositional check unsatisfiable : 0
% 0.11/0.39  #    Propositional clauses             : 0
% 0.11/0.39  #    Propositional clauses after purity: 0
% 0.11/0.39  #    Propositional unsat core size     : 0
% 0.11/0.39  #    Propositional preprocessing time  : 0.000
% 0.11/0.39  #    Propositional encoding time       : 0.000
% 0.11/0.39  #    Propositional solver time         : 0.000
% 0.11/0.39  #    Success case prop preproc time    : 0.000
% 0.11/0.39  #    Success case prop encoding time   : 0.000
% 0.11/0.39  #    Success case prop solver time     : 0.000
% 0.11/0.39  # Current number of processed clauses  : 508
% 0.11/0.39  #    Positive orientable unit clauses  : 37
% 0.11/0.39  #    Positive unorientable unit clauses: 0
% 0.11/0.39  #    Negative unit clauses             : 6
% 0.11/0.39  #    Non-unit-clauses                  : 465
% 0.11/0.39  # Current number of unprocessed clauses: 1904
% 0.11/0.39  # ...number of literals in the above   : 6027
% 0.11/0.39  # Current number of archived formulas  : 0
% 0.11/0.39  # Current number of archived clauses   : 79
% 0.11/0.39  # Clause-clause subsumption calls (NU) : 42388
% 0.11/0.39  # Rec. Clause-clause subsumption calls : 36001
% 0.11/0.39  # Non-unit clause-clause subsumptions  : 245
% 0.11/0.39  # Unit Clause-clause subsumption calls : 142
% 0.11/0.39  # Rewrite failures with RHS unbound    : 0
% 0.11/0.39  # BW rewrite match attempts            : 9
% 0.11/0.39  # BW rewrite match successes           : 0
% 0.11/0.39  # Condensation attempts                : 0
% 0.11/0.39  # Condensation successes               : 0
% 0.11/0.39  # Termbank termtop insertions          : 41858
% 0.11/0.39  
% 0.11/0.39  # -------------------------------------------------
% 0.11/0.39  # User time                : 0.046 s
% 0.11/0.39  # System time              : 0.002 s
% 0.11/0.39  # Total time               : 0.049 s
% 0.11/0.39  # Maximum resident set size: 1964 pages
% 0.11/0.39  
% 0.11/0.39  # -------------------------------------------------
% 0.11/0.39  # User time                : 0.046 s
% 0.11/0.39  # System time              : 0.005 s
% 0.11/0.39  # Total time               : 0.051 s
% 0.11/0.39  # Maximum resident set size: 1752 pages
% 0.11/0.39  % E---3.1 exiting
% 0.11/0.40  % E---3.1 exiting
%------------------------------------------------------------------------------