TSTP Solution File: LCL795-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL795-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : Mon May 20 23:53:31 EDT 2024

% Result   : Unsatisfiable 0.15s 0.55s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;   9 RR)
%            Number of literals    :   15 (   2 equ;   7 neg)
%            Maximal clause size   :    2 (   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;   9 con; 0-5 aty)
%            Number of variables   :   15 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',cls_T_0) ).

cnf(cls_lift__type_0,axiom,
    ( c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)
    | ~ c_Type_Otyping(X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).

cnf(cls_uT_0,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).

cnf(c_0_4,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),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))),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_5,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),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))),
    c_0_4 ).

cnf(c_0_6,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_7,plain,
    ( c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)
    | ~ c_Type_Otyping(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[cls_lift__type_0]) ).

cnf(c_0_8,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____),
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,plain,
    ( c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)
    | ~ c_Type_Otyping(X1,X4,X5) ),
    c_0_7 ).

cnf(c_0_10,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    cls_uT_0 ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL795-1 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon May 20 03:09:52 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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/benchmark/theBenchmark.p
% 0.15/0.55  # Version: 3.1.0
% 0.15/0.55  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.55  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.15/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.55  # Starting sh5l with 300s (1) cores
% 0.15/0.55  # new_bool_3 with pid 13324 completed with status 0
% 0.15/0.55  # Result found by new_bool_3
% 0.15/0.55  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.55  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.15/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.55  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.15/0.55  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.15/0.55  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 45s (1) cores
% 0.15/0.55  # Starting new_bool_3 with 61s (1) cores
% 0.15/0.55  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 13327 completed with status 0
% 0.15/0.55  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.15/0.55  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.55  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.15/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.55  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.15/0.55  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.15/0.55  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 45s (1) cores
% 0.15/0.55  # Preprocessing time       : 0.018 s
% 0.15/0.55  
% 0.15/0.55  # Proof found!
% 0.15/0.55  # SZS status Unsatisfiable
% 0.15/0.55  # SZS output start CNFRefutation
% See solution above
% 0.15/0.55  # Parsed axioms                        : 920
% 0.15/0.55  # Removed by relevancy pruning/SinE    : 553
% 0.15/0.55  # Initial clauses                      : 367
% 0.15/0.55  # Removed in clause preprocessing      : 0
% 0.15/0.55  # Initial clauses in saturation        : 367
% 0.15/0.55  # Processed clauses                    : 376
% 0.15/0.55  # ...of these trivial                  : 31
% 0.15/0.55  # ...subsumed                          : 67
% 0.15/0.55  # ...remaining for further processing  : 278
% 0.15/0.55  # Other redundant clauses eliminated   : 2
% 0.15/0.55  # Clauses deleted for lack of memory   : 0
% 0.15/0.55  # Backward-subsumed                    : 3
% 0.15/0.55  # Backward-rewritten                   : 5
% 0.15/0.55  # Generated clauses                    : 4105
% 0.15/0.55  # ...of the previous two non-redundant : 3537
% 0.15/0.55  # ...aggressively subsumed             : 0
% 0.15/0.55  # Contextual simplify-reflections      : 1
% 0.15/0.55  # Paramodulations                      : 4072
% 0.15/0.55  # Factorizations                       : 4
% 0.15/0.55  # NegExts                              : 0
% 0.15/0.55  # Equation resolutions                 : 29
% 0.15/0.55  # Disequality decompositions           : 0
% 0.15/0.55  # Total rewrite steps                  : 1803
% 0.15/0.55  # ...of those cached                   : 1365
% 0.15/0.55  # Propositional unsat checks           : 0
% 0.15/0.55  #    Propositional check models        : 0
% 0.15/0.55  #    Propositional check unsatisfiable : 0
% 0.15/0.55  #    Propositional clauses             : 0
% 0.15/0.55  #    Propositional clauses after purity: 0
% 0.15/0.55  #    Propositional unsat core size     : 0
% 0.15/0.55  #    Propositional preprocessing time  : 0.000
% 0.15/0.55  #    Propositional encoding time       : 0.000
% 0.15/0.55  #    Propositional solver time         : 0.000
% 0.15/0.55  #    Success case prop preproc time    : 0.000
% 0.15/0.55  #    Success case prop encoding time   : 0.000
% 0.15/0.55  #    Success case prop solver time     : 0.000
% 0.15/0.55  # Current number of processed clauses  : 270
% 0.15/0.55  #    Positive orientable unit clauses  : 61
% 0.15/0.55  #    Positive unorientable unit clauses: 5
% 0.15/0.55  #    Negative unit clauses             : 16
% 0.15/0.55  #    Non-unit-clauses                  : 188
% 0.15/0.55  # Current number of unprocessed clauses: 3528
% 0.15/0.55  # ...number of literals in the above   : 8675
% 0.15/0.55  # Current number of archived formulas  : 0
% 0.15/0.55  # Current number of archived clauses   : 8
% 0.15/0.55  # Clause-clause subsumption calls (NU) : 7035
% 0.15/0.55  # Rec. Clause-clause subsumption calls : 6542
% 0.15/0.55  # Non-unit clause-clause subsumptions  : 51
% 0.15/0.55  # Unit Clause-clause subsumption calls : 394
% 0.15/0.55  # Rewrite failures with RHS unbound    : 0
% 0.15/0.55  # BW rewrite match attempts            : 88
% 0.15/0.55  # BW rewrite match successes           : 31
% 0.15/0.55  # Condensation attempts                : 0
% 0.15/0.55  # Condensation successes               : 0
% 0.15/0.55  # Termbank termtop insertions          : 93641
% 0.15/0.55  # Search garbage collected termcells   : 2547
% 0.15/0.55  
% 0.15/0.55  # -------------------------------------------------
% 0.15/0.55  # User time                : 0.101 s
% 0.15/0.55  # System time              : 0.008 s
% 0.15/0.55  # Total time               : 0.109 s
% 0.15/0.55  # Maximum resident set size: 2864 pages
% 0.15/0.55  
% 0.15/0.55  # -------------------------------------------------
% 0.15/0.55  # User time                : 0.223 s
% 0.15/0.55  # System time              : 0.011 s
% 0.15/0.55  # Total time               : 0.235 s
% 0.15/0.55  # Maximum resident set size: 2320 pages
% 0.15/0.55  % E---3.1 exiting
% 0.15/0.56  % E exiting
%------------------------------------------------------------------------------