TSTP Solution File: SYN695-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYN695-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : Tue May 21 08:01:00 EDT 2024

% Result   : Unsatisfiable 0.13s 0.50s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   26 (  14 unt;   0 nHn;  22 RR)
%            Number of literals    :   45 (   0 equ;  23 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   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_41,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_41) ).

cnf(p2_12,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

cnf(p2_54,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_54) ).

cnf(not_p2_55,negated_conjecture,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_55) ).

cnf(p2_61,negated_conjecture,
    ( p2(f11(X1,X2),f11(X3,X4))
    | ~ p10(X2,X4)
    | ~ p3(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).

cnf(p3_30,negated_conjecture,
    ( p3(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_30) ).

cnf(p2_18,negated_conjecture,
    p2(c44,c45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).

cnf(p10_7,negated_conjecture,
    p10(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).

cnf(c_0_8,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    inference(fof_simplification,[status(thm)],[p2_41]) ).

cnf(c_0_9,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    c_0_8 ).

cnf(c_0_10,negated_conjecture,
    p2(X1,X1),
    p2_12 ).

cnf(c_0_11,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    p2_54 ).

cnf(c_0_13,negated_conjecture,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(fof_simplification,[status(thm)],[not_p2_55]) ).

cnf(c_0_14,negated_conjecture,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( p2(f11(X1,X2),f11(X3,X4))
    | ~ p10(X2,X4)
    | ~ p3(X1,X3) ),
    inference(fof_simplification,[status(thm)],[p2_61]) ).

cnf(c_0_16,negated_conjecture,
    ( p3(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    inference(fof_simplification,[status(thm)],[p3_30]) ).

cnf(c_0_17,negated_conjecture,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    c_0_13 ).

cnf(c_0_18,negated_conjecture,
    ( p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
    | ~ p2(f11(f4(c44),c43),X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( p2(f11(X1,X2),f11(X3,X4))
    | ~ p10(X2,X4)
    | ~ p3(X1,X3) ),
    c_0_15 ).

cnf(c_0_20,negated_conjecture,
    ( p3(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    c_0_16 ).

cnf(c_0_21,negated_conjecture,
    ~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( p2(f11(f4(X1),X2),f11(f4(X3),X4))
    | ~ p2(X1,X3)
    | ~ p10(X2,X4) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    p2(c44,c45),
    p2_18 ).

cnf(c_0_24,negated_conjecture,
    p10(X1,X1),
    p10_7 ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN695-1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.08/0.30  % Computer : n021.cluster.edu
% 0.08/0.30  % Model    : x86_64 x86_64
% 0.08/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30  % Memory   : 8042.1875MB
% 0.08/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30  % CPULimit   : 300
% 0.08/0.30  % WCLimit    : 300
% 0.08/0.30  % DateTime   : Mon May 20 15:19:52 EDT 2024
% 0.08/0.30  % CPUTime    : 
% 0.13/0.43  Running first-order model finding
% 0.13/0.43  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/benchmark/theBenchmark.p
% 0.13/0.50  # Version: 3.1.0
% 0.13/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.50  # Starting sh5l with 300s (1) cores
% 0.13/0.50  # new_bool_1 with pid 30243 completed with status 0
% 0.13/0.50  # Result found by new_bool_1
% 0.13/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.50  # Search class: FGHNM-FFMM21-MFFFFFNN
% 0.13/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.13/0.50  # SAT001_MinMin_p005000_rr_RG with pid 30250 completed with status 0
% 0.13/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.13/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.50  # Search class: FGHNM-FFMM21-MFFFFFNN
% 0.13/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.13/0.50  # Preprocessing time       : 0.002 s
% 0.13/0.50  # Presaturation interreduction done
% 0.13/0.50  
% 0.13/0.50  # Proof found!
% 0.13/0.50  # SZS status Unsatisfiable
% 0.13/0.50  # SZS output start CNFRefutation
% See solution above
% 0.13/0.50  # Parsed axioms                        : 73
% 0.13/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.13/0.50  # Initial clauses                      : 73
% 0.13/0.50  # Removed in clause preprocessing      : 0
% 0.13/0.50  # Initial clauses in saturation        : 73
% 0.13/0.50  # Processed clauses                    : 811
% 0.13/0.50  # ...of these trivial                  : 0
% 0.13/0.50  # ...subsumed                          : 234
% 0.13/0.50  # ...remaining for further processing  : 577
% 0.13/0.50  # Other redundant clauses eliminated   : 0
% 0.13/0.50  # Clauses deleted for lack of memory   : 0
% 0.13/0.50  # Backward-subsumed                    : 6
% 0.13/0.50  # Backward-rewritten                   : 0
% 0.13/0.50  # Generated clauses                    : 2511
% 0.13/0.50  # ...of the previous two non-redundant : 2413
% 0.13/0.50  # ...aggressively subsumed             : 0
% 0.13/0.50  # Contextual simplify-reflections      : 1
% 0.13/0.50  # Paramodulations                      : 2511
% 0.13/0.50  # Factorizations                       : 0
% 0.13/0.50  # NegExts                              : 0
% 0.13/0.50  # Equation resolutions                 : 0
% 0.13/0.50  # Disequality decompositions           : 0
% 0.13/0.50  # Total rewrite steps                  : 207
% 0.13/0.50  # ...of those cached                   : 170
% 0.13/0.50  # Propositional unsat checks           : 0
% 0.13/0.50  #    Propositional check models        : 0
% 0.13/0.50  #    Propositional check unsatisfiable : 0
% 0.13/0.50  #    Propositional clauses             : 0
% 0.13/0.50  #    Propositional clauses after purity: 0
% 0.13/0.50  #    Propositional unsat core size     : 0
% 0.13/0.50  #    Propositional preprocessing time  : 0.000
% 0.13/0.50  #    Propositional encoding time       : 0.000
% 0.13/0.50  #    Propositional solver time         : 0.000
% 0.13/0.50  #    Success case prop preproc time    : 0.000
% 0.13/0.50  #    Success case prop encoding time   : 0.000
% 0.13/0.50  #    Success case prop solver time     : 0.000
% 0.13/0.50  # Current number of processed clauses  : 498
% 0.13/0.50  #    Positive orientable unit clauses  : 36
% 0.13/0.50  #    Positive unorientable unit clauses: 0
% 0.13/0.50  #    Negative unit clauses             : 6
% 0.13/0.50  #    Non-unit-clauses                  : 456
% 0.13/0.50  # Current number of unprocessed clauses: 1748
% 0.13/0.50  # ...number of literals in the above   : 5553
% 0.13/0.50  # Current number of archived formulas  : 0
% 0.13/0.50  # Current number of archived clauses   : 79
% 0.13/0.50  # Clause-clause subsumption calls (NU) : 33456
% 0.13/0.50  # Rec. Clause-clause subsumption calls : 28794
% 0.13/0.50  # Non-unit clause-clause subsumptions  : 235
% 0.13/0.50  # Unit Clause-clause subsumption calls : 165
% 0.13/0.50  # Rewrite failures with RHS unbound    : 0
% 0.13/0.50  # BW rewrite match attempts            : 11
% 0.13/0.50  # BW rewrite match successes           : 0
% 0.13/0.50  # Condensation attempts                : 0
% 0.13/0.50  # Condensation successes               : 0
% 0.13/0.50  # Termbank termtop insertions          : 40001
% 0.13/0.50  # Search garbage collected termcells   : 202
% 0.13/0.50  
% 0.13/0.50  # -------------------------------------------------
% 0.13/0.50  # User time                : 0.041 s
% 0.13/0.50  # System time              : 0.009 s
% 0.13/0.50  # Total time               : 0.049 s
% 0.13/0.50  # Maximum resident set size: 1932 pages
% 0.13/0.50  
% 0.13/0.50  # -------------------------------------------------
% 0.13/0.50  # User time                : 0.042 s
% 0.13/0.50  # System time              : 0.011 s
% 0.13/0.50  # Total time               : 0.052 s
% 0.13/0.50  # Maximum resident set size: 1764 pages
% 0.13/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------