TSTP Solution File: LCL795-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL795-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 18:21:55 EDT 2023

% Result   : Unsatisfiable 0.49s 0.76s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   2 equ;   5 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   :   10 (   2 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/tmp/tmp.je3K3VBMaf/E---3.1_31599.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/tmp/tmp.je3K3VBMaf/E---3.1_31599.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/tmp/tmp.je3K3VBMaf/E---3.1_31599.p',cls_lift__type_0) ).

cnf(cls_uT_0,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/tmp/tmp.je3K3VBMaf/E---3.1_31599.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))),
    cls_conjecture_0 ).

cnf(c_0_5,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_6,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_4,c_0_5]) ).

cnf(c_0_7,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) ),
    cls_lift__type_0 ).

cnf(c_0_8,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    cls_uT_0 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.21  % Problem    : LCL795-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.22  % Command    : run_E %s %d THM
% 0.21/0.43  % Computer : n008.cluster.edu
% 0.21/0.43  % Model    : x86_64 x86_64
% 0.21/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.43  % Memory   : 8042.1875MB
% 0.21/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.43  % CPULimit   : 2400
% 0.21/0.43  % WCLimit    : 300
% 0.21/0.43  % DateTime   : Mon Oct  2 13:02:58 EDT 2023
% 0.21/0.43  % CPUTime    : 
% 0.47/0.65  Running first-order theorem proving
% 0.47/0.65  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/tmp/tmp.je3K3VBMaf/E---3.1_31599.p
% 0.49/0.76  # Version: 3.1pre001
% 0.49/0.76  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.49/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.76  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.49/0.76  # Starting new_bool_3 with 600s (2) cores
% 0.49/0.76  # Starting new_bool_1 with 300s (1) cores
% 0.49/0.76  # Starting sh5l with 300s (1) cores
% 0.49/0.76  # new_bool_1 with pid 31679 completed with status 0
% 0.49/0.76  # Result found by new_bool_1
% 0.49/0.76  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.49/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.76  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.49/0.76  # Starting new_bool_3 with 600s (2) cores
% 0.49/0.76  # Starting new_bool_1 with 300s (1) cores
% 0.49/0.76  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.49/0.76  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.49/0.76  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.49/0.76  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.49/0.76  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 31682 completed with status 0
% 0.49/0.76  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.49/0.76  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.49/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.76  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.49/0.76  # Starting new_bool_3 with 600s (2) cores
% 0.49/0.76  # Starting new_bool_1 with 300s (1) cores
% 0.49/0.76  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.49/0.76  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.49/0.76  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.49/0.76  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.49/0.76  # Preprocessing time       : 0.014 s
% 0.49/0.76  
% 0.49/0.76  # Proof found!
% 0.49/0.76  # SZS status Unsatisfiable
% 0.49/0.76  # SZS output start CNFRefutation
% See solution above
% 0.49/0.76  # Parsed axioms                        : 920
% 0.49/0.76  # Removed by relevancy pruning/SinE    : 553
% 0.49/0.76  # Initial clauses                      : 367
% 0.49/0.76  # Removed in clause preprocessing      : 0
% 0.49/0.76  # Initial clauses in saturation        : 367
% 0.49/0.76  # Processed clauses                    : 376
% 0.49/0.76  # ...of these trivial                  : 31
% 0.49/0.76  # ...subsumed                          : 67
% 0.49/0.76  # ...remaining for further processing  : 278
% 0.49/0.76  # Other redundant clauses eliminated   : 2
% 0.49/0.76  # Clauses deleted for lack of memory   : 0
% 0.49/0.76  # Backward-subsumed                    : 3
% 0.49/0.76  # Backward-rewritten                   : 5
% 0.49/0.76  # Generated clauses                    : 4105
% 0.49/0.76  # ...of the previous two non-redundant : 3537
% 0.49/0.76  # ...aggressively subsumed             : 0
% 0.49/0.76  # Contextual simplify-reflections      : 1
% 0.49/0.76  # Paramodulations                      : 4072
% 0.49/0.76  # Factorizations                       : 4
% 0.49/0.76  # NegExts                              : 0
% 0.49/0.76  # Equation resolutions                 : 29
% 0.49/0.76  # Total rewrite steps                  : 1803
% 0.49/0.76  # Propositional unsat checks           : 0
% 0.49/0.76  #    Propositional check models        : 0
% 0.49/0.76  #    Propositional check unsatisfiable : 0
% 0.49/0.76  #    Propositional clauses             : 0
% 0.49/0.76  #    Propositional clauses after purity: 0
% 0.49/0.76  #    Propositional unsat core size     : 0
% 0.49/0.76  #    Propositional preprocessing time  : 0.000
% 0.49/0.76  #    Propositional encoding time       : 0.000
% 0.49/0.76  #    Propositional solver time         : 0.000
% 0.49/0.76  #    Success case prop preproc time    : 0.000
% 0.49/0.76  #    Success case prop encoding time   : 0.000
% 0.49/0.76  #    Success case prop solver time     : 0.000
% 0.49/0.76  # Current number of processed clauses  : 270
% 0.49/0.76  #    Positive orientable unit clauses  : 61
% 0.49/0.76  #    Positive unorientable unit clauses: 5
% 0.49/0.76  #    Negative unit clauses             : 16
% 0.49/0.76  #    Non-unit-clauses                  : 188
% 0.49/0.76  # Current number of unprocessed clauses: 3528
% 0.49/0.76  # ...number of literals in the above   : 8675
% 0.49/0.76  # Current number of archived formulas  : 0
% 0.49/0.76  # Current number of archived clauses   : 8
% 0.49/0.76  # Clause-clause subsumption calls (NU) : 7035
% 0.49/0.76  # Rec. Clause-clause subsumption calls : 6542
% 0.49/0.76  # Non-unit clause-clause subsumptions  : 51
% 0.49/0.76  # Unit Clause-clause subsumption calls : 394
% 0.49/0.76  # Rewrite failures with RHS unbound    : 0
% 0.49/0.76  # BW rewrite match attempts            : 88
% 0.49/0.76  # BW rewrite match successes           : 31
% 0.49/0.76  # Condensation attempts                : 0
% 0.49/0.76  # Condensation successes               : 0
% 0.49/0.76  # Termbank termtop insertions          : 92088
% 0.49/0.76  
% 0.49/0.76  # -------------------------------------------------
% 0.49/0.76  # User time                : 0.072 s
% 0.49/0.76  # System time              : 0.008 s
% 0.49/0.76  # Total time               : 0.081 s
% 0.49/0.76  # Maximum resident set size: 2832 pages
% 0.49/0.76  
% 0.49/0.76  # -------------------------------------------------
% 0.49/0.76  # User time                : 0.096 s
% 0.49/0.76  # System time              : 0.011 s
% 0.49/0.76  # Total time               : 0.106 s
% 0.49/0.76  # Maximum resident set size: 2316 pages
% 0.49/0.76  % E---3.1 exiting
% 0.49/0.77  % E---3.1 exiting
%------------------------------------------------------------------------------