TSTP Solution File: LCL818-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL818-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Sat May  4 08:34:29 EDT 2024

% Result   : Unsatisfiable 0.58s 0.55s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  10 unt;   0 nHn;  14 RR)
%            Number of literals    :   22 (   2 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-5 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_App_0,axiom,
    ( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)
    | ~ c_Type_Otyping(X1,X3,X5)
    | ~ c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.OYL6eGz7qp/E---3.1_19539.p',cls_App_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox2/tmp/tmp.OYL6eGz7qp/E---3.1_19539.p',cls_conjecture_0) ).

cnf(cls_T_0,axiom,
    v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox2/tmp/tmp.OYL6eGz7qp/E---3.1_19539.p',cls_T_0) ).

cnf(cls_uT_0,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox2/tmp/tmp.OYL6eGz7qp/E---3.1_19539.p',cls_uT_0) ).

cnf(cls_CHAINED_0,axiom,
    c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    file('/export/starexec/sandbox2/tmp/tmp.OYL6eGz7qp/E---3.1_19539.p',cls_CHAINED_0) ).

cnf(c_0_5,plain,
    ( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)
    | ~ c_Type_Otyping(X1,X3,X5)
    | ~ c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4)) ),
    inference(fof_simplification,[status(thm)],[cls_App_0]) ).

cnf(c_0_6,negated_conjecture,
    ~ c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_7,plain,
    ( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)
    | ~ c_Type_Otyping(X1,X3,X5)
    | ~ c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4)) ),
    c_0_5 ).

cnf(c_0_8,axiom,
    v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    cls_T_0 ).

cnf(c_0_9,negated_conjecture,
    ~ c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    c_0_6 ).

cnf(c_0_10,plain,
    ( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,X2,v_T____)
    | ~ c_Type_Otyping(X1,X3,v_T_H_H____) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    cls_uT_0 ).

cnf(c_0_12,axiom,
    c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    cls_CHAINED_0 ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL818-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 09:30:07 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.OYL6eGz7qp/E---3.1_19539.p
% 0.58/0.55  # Version: 3.1.0
% 0.58/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.58/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.58/0.55  # Starting sh5l with 300s (1) cores
% 0.58/0.55  # new_bool_1 with pid 19618 completed with status 0
% 0.58/0.55  # Result found by new_bool_1
% 0.58/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.58/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.58/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.58/0.55  # Search class: FGUSM-FFLM32-MFFFFFNN
% 0.58/0.55  # partial match(1): FGHSM-FFLM32-MFFFFFNN
% 0.58/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.58/0.55  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 181s (1) cores
% 0.58/0.55  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 19621 completed with status 0
% 0.58/0.55  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 0.58/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.58/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.58/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.58/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.58/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.58/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.58/0.55  # Search class: FGUSM-FFLM32-MFFFFFNN
% 0.58/0.55  # partial match(1): FGHSM-FFLM32-MFFFFFNN
% 0.58/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.58/0.55  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 181s (1) cores
% 0.58/0.55  # Preprocessing time       : 0.012 s
% 0.58/0.55  
% 0.58/0.55  # Proof found!
% 0.58/0.55  # SZS status Unsatisfiable
% 0.58/0.55  # SZS output start CNFRefutation
% See solution above
% 0.58/0.55  # Parsed axioms                        : 398
% 0.58/0.55  # Removed by relevancy pruning/SinE    : 218
% 0.58/0.55  # Initial clauses                      : 180
% 0.58/0.55  # Removed in clause preprocessing      : 0
% 0.58/0.55  # Initial clauses in saturation        : 180
% 0.58/0.55  # Processed clauses                    : 215
% 0.58/0.55  # ...of these trivial                  : 22
% 0.58/0.55  # ...subsumed                          : 40
% 0.58/0.55  # ...remaining for further processing  : 153
% 0.58/0.55  # Other redundant clauses eliminated   : 0
% 0.58/0.55  # Clauses deleted for lack of memory   : 0
% 0.58/0.55  # Backward-subsumed                    : 3
% 0.58/0.55  # Backward-rewritten                   : 4
% 0.58/0.55  # Generated clauses                    : 854
% 0.58/0.55  # ...of the previous two non-redundant : 725
% 0.58/0.55  # ...aggressively subsumed             : 0
% 0.58/0.55  # Contextual simplify-reflections      : 0
% 0.58/0.55  # Paramodulations                      : 832
% 0.58/0.55  # Factorizations                       : 2
% 0.58/0.55  # NegExts                              : 0
% 0.58/0.55  # Equation resolutions                 : 20
% 0.58/0.55  # Disequality decompositions           : 0
% 0.58/0.55  # Total rewrite steps                  : 179
% 0.58/0.55  # ...of those cached                   : 86
% 0.58/0.55  # Propositional unsat checks           : 0
% 0.58/0.55  #    Propositional check models        : 0
% 0.58/0.55  #    Propositional check unsatisfiable : 0
% 0.58/0.55  #    Propositional clauses             : 0
% 0.58/0.55  #    Propositional clauses after purity: 0
% 0.58/0.55  #    Propositional unsat core size     : 0
% 0.58/0.55  #    Propositional preprocessing time  : 0.000
% 0.58/0.55  #    Propositional encoding time       : 0.000
% 0.58/0.55  #    Propositional solver time         : 0.000
% 0.58/0.55  #    Success case prop preproc time    : 0.000
% 0.58/0.55  #    Success case prop encoding time   : 0.000
% 0.58/0.55  #    Success case prop solver time     : 0.000
% 0.58/0.55  # Current number of processed clauses  : 146
% 0.58/0.55  #    Positive orientable unit clauses  : 33
% 0.58/0.55  #    Positive unorientable unit clauses: 4
% 0.58/0.55  #    Negative unit clauses             : 18
% 0.58/0.55  #    Non-unit-clauses                  : 91
% 0.58/0.55  # Current number of unprocessed clauses: 685
% 0.58/0.55  # ...number of literals in the above   : 1440
% 0.58/0.55  # Current number of archived formulas  : 0
% 0.58/0.55  # Current number of archived clauses   : 7
% 0.58/0.55  # Clause-clause subsumption calls (NU) : 1319
% 0.58/0.55  # Rec. Clause-clause subsumption calls : 1132
% 0.58/0.55  # Non-unit clause-clause subsumptions  : 22
% 0.58/0.55  # Unit Clause-clause subsumption calls : 82
% 0.58/0.55  # Rewrite failures with RHS unbound    : 0
% 0.58/0.55  # BW rewrite match attempts            : 69
% 0.58/0.55  # BW rewrite match successes           : 13
% 0.58/0.55  # Condensation attempts                : 0
% 0.58/0.55  # Condensation successes               : 0
% 0.58/0.55  # Termbank termtop insertions          : 20240
% 0.58/0.55  # Search garbage collected termcells   : 1244
% 0.58/0.55  
% 0.58/0.55  # -------------------------------------------------
% 0.58/0.55  # User time                : 0.030 s
% 0.58/0.55  # System time              : 0.011 s
% 0.58/0.55  # Total time               : 0.041 s
% 0.58/0.55  # Maximum resident set size: 2332 pages
% 0.58/0.55  
% 0.58/0.55  # -------------------------------------------------
% 0.58/0.55  # User time                : 0.035 s
% 0.58/0.55  # System time              : 0.014 s
% 0.58/0.55  # Total time               : 0.049 s
% 0.58/0.55  # Maximum resident set size: 2012 pages
% 0.58/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------