TSTP Solution File: SWV861-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV861-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 20:08:01 EDT 2023

% Result   : Unsatisfiable 0.61s 0.56s
% Output   : CNFRefutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;  16 RR)
%            Number of literals    :   26 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_Q,X1),X2))
    | ~ c_Natural_Oevaln(v_c,X3,v_n,X2)
    | ~ hBOOL(hAPP(hAPP(v_P,X1),X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.oEFmWNPv4A/E---3.1_24615.p',cls_conjecture_5) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
    file('/export/starexec/sandbox2/tmp/tmp.oEFmWNPv4A/E---3.1_24615.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    file('/export/starexec/sandbox2/tmp/tmp.oEFmWNPv4A/E---3.1_24615.p',cls_conjecture_1) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_R,X1),X2))
    | ~ c_Natural_Oevaln(v_d,X3,v_n,X2)
    | ~ hBOOL(hAPP(hAPP(v_Q,X1),X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.oEFmWNPv4A/E---3.1_24615.p',cls_conjecture_6) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    file('/export/starexec/sandbox2/tmp/tmp.oEFmWNPv4A/E---3.1_24615.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
    file('/export/starexec/sandbox2/tmp/tmp.oEFmWNPv4A/E---3.1_24615.p',cls_conjecture_3) ).

cnf(c_0_6,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_Q,X1),X2))
    | ~ c_Natural_Oevaln(v_c,X3,v_n,X2)
    | ~ hBOOL(hAPP(hAPP(v_P,X1),X3)) ),
    cls_conjecture_5 ).

cnf(c_0_7,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
    cls_conjecture_0 ).

cnf(c_0_8,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_Q,v_Z),X1))
    | ~ c_Natural_Oevaln(v_c,v_s,v_n,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    cls_conjecture_1 ).

cnf(c_0_10,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_R,X1),X2))
    | ~ c_Natural_Oevaln(v_d,X3,v_n,X2)
    | ~ hBOOL(hAPP(hAPP(v_Q,X1),X3)) ),
    cls_conjecture_6 ).

cnf(c_0_11,negated_conjecture,
    hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_R,v_Z),X1))
    | ~ c_Natural_Oevaln(v_d,v_s1,v_n,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    cls_conjecture_2 ).

cnf(c_0_14,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
    cls_conjecture_3 ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWV861-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n014.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % 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   : Tue Oct  3 03:10:19 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.47  Running first-order model finding
% 0.16/0.47  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.oEFmWNPv4A/E---3.1_24615.p
% 0.61/0.56  # Version: 3.1pre001
% 0.61/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.61/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.61/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.61/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.61/0.56  # Starting sh5l with 300s (1) cores
% 0.61/0.56  # new_bool_1 with pid 24695 completed with status 0
% 0.61/0.56  # Result found by new_bool_1
% 0.61/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.61/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.61/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.61/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.61/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.61/0.56  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.61/0.56  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.61/0.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.61/0.56  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 24697 completed with status 0
% 0.61/0.56  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.61/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.61/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.61/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.61/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.61/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.61/0.56  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.61/0.56  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.61/0.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.61/0.56  # Preprocessing time       : 0.007 s
% 0.61/0.56  
% 0.61/0.56  # Proof found!
% 0.61/0.56  # SZS status Unsatisfiable
% 0.61/0.56  # SZS output start CNFRefutation
% See solution above
% 0.61/0.56  # Parsed axioms                        : 606
% 0.61/0.56  # Removed by relevancy pruning/SinE    : 293
% 0.61/0.56  # Initial clauses                      : 313
% 0.61/0.56  # Removed in clause preprocessing      : 0
% 0.61/0.56  # Initial clauses in saturation        : 313
% 0.61/0.56  # Processed clauses                    : 339
% 0.61/0.56  # ...of these trivial                  : 12
% 0.61/0.56  # ...subsumed                          : 70
% 0.61/0.56  # ...remaining for further processing  : 257
% 0.61/0.56  # Other redundant clauses eliminated   : 0
% 0.61/0.56  # Clauses deleted for lack of memory   : 0
% 0.61/0.56  # Backward-subsumed                    : 0
% 0.61/0.56  # Backward-rewritten                   : 5
% 0.61/0.56  # Generated clauses                    : 1858
% 0.61/0.56  # ...of the previous two non-redundant : 1609
% 0.61/0.56  # ...aggressively subsumed             : 0
% 0.61/0.56  # Contextual simplify-reflections      : 1
% 0.61/0.56  # Paramodulations                      : 1845
% 0.61/0.56  # Factorizations                       : 2
% 0.61/0.56  # NegExts                              : 0
% 0.61/0.56  # Equation resolutions                 : 11
% 0.61/0.56  # Total rewrite steps                  : 508
% 0.61/0.56  # Propositional unsat checks           : 0
% 0.61/0.56  #    Propositional check models        : 0
% 0.61/0.56  #    Propositional check unsatisfiable : 0
% 0.61/0.56  #    Propositional clauses             : 0
% 0.61/0.56  #    Propositional clauses after purity: 0
% 0.61/0.56  #    Propositional unsat core size     : 0
% 0.61/0.56  #    Propositional preprocessing time  : 0.000
% 0.61/0.56  #    Propositional encoding time       : 0.000
% 0.61/0.56  #    Propositional solver time         : 0.000
% 0.61/0.56  #    Success case prop preproc time    : 0.000
% 0.61/0.56  #    Success case prop encoding time   : 0.000
% 0.61/0.56  #    Success case prop solver time     : 0.000
% 0.61/0.56  # Current number of processed clauses  : 252
% 0.61/0.56  #    Positive orientable unit clauses  : 49
% 0.61/0.56  #    Positive unorientable unit clauses: 5
% 0.61/0.56  #    Negative unit clauses             : 10
% 0.61/0.56  #    Non-unit-clauses                  : 188
% 0.61/0.56  # Current number of unprocessed clauses: 1582
% 0.61/0.56  # ...number of literals in the above   : 4043
% 0.61/0.56  # Current number of archived formulas  : 0
% 0.61/0.56  # Current number of archived clauses   : 5
% 0.61/0.56  # Clause-clause subsumption calls (NU) : 7320
% 0.61/0.56  # Rec. Clause-clause subsumption calls : 6046
% 0.61/0.56  # Non-unit clause-clause subsumptions  : 53
% 0.61/0.56  # Unit Clause-clause subsumption calls : 125
% 0.61/0.56  # Rewrite failures with RHS unbound    : 5
% 0.61/0.56  # BW rewrite match attempts            : 105
% 0.61/0.56  # BW rewrite match successes           : 18
% 0.61/0.56  # Condensation attempts                : 0
% 0.61/0.56  # Condensation successes               : 0
% 0.61/0.56  # Termbank termtop insertions          : 41369
% 0.61/0.56  
% 0.61/0.56  # -------------------------------------------------
% 0.61/0.56  # User time                : 0.055 s
% 0.61/0.56  # System time              : 0.007 s
% 0.61/0.56  # Total time               : 0.062 s
% 0.61/0.56  # Maximum resident set size: 2608 pages
% 0.61/0.56  
% 0.61/0.56  # -------------------------------------------------
% 0.61/0.56  # User time                : 0.067 s
% 0.61/0.56  # System time              : 0.011 s
% 0.61/0.56  # Total time               : 0.078 s
% 0.61/0.56  # Maximum resident set size: 2160 pages
% 0.61/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------