TSTP Solution File: SYN553-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYN553-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 08:00:31 EDT 2024

% Result   : Unsatisfiable 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (  11 unt;   0 nHn;  14 RR)
%            Number of literals    :   39 (   0 equ;  21 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   52 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_6,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X1,X3)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

cnf(p2_5,negated_conjecture,
    p2(f8(X1,X2),f8(X2,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(p2_7,negated_conjecture,
    p2(f8(X1,f8(X2,X3)),f8(f8(X1,X2),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

cnf(p2_8,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).

cnf(not_p2_9,negated_conjecture,
    ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_9) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(c_0_6,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X1,X3)
    | ~ p2(X3,X2) ),
    inference(fof_simplification,[status(thm)],[p2_6]) ).

cnf(c_0_7,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X1,X3)
    | ~ p2(X3,X2) ),
    c_0_6 ).

cnf(c_0_8,negated_conjecture,
    p2(f8(X1,X2),f8(X2,X1)),
    p2_5 ).

cnf(c_0_9,negated_conjecture,
    ( p2(X1,f8(X2,X3))
    | ~ p2(X1,f8(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,negated_conjecture,
    p2(f8(X1,f8(X2,X3)),f8(f8(X1,X2),X3)),
    p2_7 ).

cnf(c_0_11,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    inference(fof_simplification,[status(thm)],[p2_8]) ).

cnf(c_0_12,negated_conjecture,
    p2(f8(X1,f8(X2,X3)),f8(X3,f8(X1,X2))),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    c_0_11 ).

cnf(c_0_14,negated_conjecture,
    ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
    inference(fof_simplification,[status(thm)],[not_p2_9]) ).

cnf(c_0_15,negated_conjecture,
    ( p2(X1,f8(X2,f8(X3,X4)))
    | ~ p2(X1,f8(X3,f8(X4,X2))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X2,X3)
    | ~ p2(X1,X4) ),
    inference(spm,[status(thm)],[c_0_9,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
    c_0_14 ).

cnf(c_0_18,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,f8(X4,X5)))
    | ~ p2(X1,f8(X5,X3))
    | ~ p2(X2,X4) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    p2(X1,X1),
    p2_1 ).

cnf(c_0_20,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_8]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN553-1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n023.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   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 13:53:38 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  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
% 0.15/0.43  # Version: 3.1.0
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # new_bool_3 with pid 17004 completed with status 0
% 0.15/0.43  # Result found by new_bool_3
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 181s (1) cores
% 0.15/0.43  # H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with pid 17007 completed with status 0
% 0.15/0.43  # Result found by H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FHUNS-FFSF21-MFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 181s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.001 s
% 0.15/0.43  # Presaturation interreduction done
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Unsatisfiable
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 9
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.43  # Initial clauses                      : 9
% 0.15/0.43  # Removed in clause preprocessing      : 0
% 0.15/0.43  # Initial clauses in saturation        : 9
% 0.15/0.43  # Processed clauses                    : 69
% 0.15/0.43  # ...of these trivial                  : 3
% 0.15/0.43  # ...subsumed                          : 15
% 0.15/0.43  # ...remaining for further processing  : 51
% 0.15/0.43  # Other redundant clauses eliminated   : 0
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 0
% 0.15/0.43  # Backward-rewritten                   : 0
% 0.15/0.43  # Generated clauses                    : 219
% 0.15/0.43  # ...of the previous two non-redundant : 189
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 0
% 0.15/0.43  # Paramodulations                      : 219
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 0
% 0.15/0.43  # Disequality decompositions           : 0
% 0.15/0.43  # Total rewrite steps                  : 31
% 0.15/0.43  # ...of those cached                   : 13
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 42
% 0.15/0.43  #    Positive orientable unit clauses  : 17
% 0.15/0.43  #    Positive unorientable unit clauses: 0
% 0.15/0.43  #    Negative unit clauses             : 3
% 0.15/0.43  #    Non-unit-clauses                  : 22
% 0.15/0.43  # Current number of unprocessed clauses: 130
% 0.15/0.43  # ...number of literals in the above   : 345
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 9
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 149
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 147
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 15
% 0.15/0.43  # Unit Clause-clause subsumption calls : 0
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 34
% 0.15/0.43  # BW rewrite match successes           : 0
% 0.15/0.43  # Condensation attempts                : 0
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 2928
% 0.15/0.43  # Search garbage collected termcells   : 16
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.007 s
% 0.15/0.43  # System time              : 0.001 s
% 0.15/0.43  # Total time               : 0.008 s
% 0.15/0.43  # Maximum resident set size: 1624 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.007 s
% 0.15/0.43  # System time              : 0.004 s
% 0.15/0.43  # Total time               : 0.011 s
% 0.15/0.43  # Maximum resident set size: 1696 pages
% 0.15/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------