TSTP Solution File: LCL852-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL852-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 08:34:36 EDT 2024

% Result   : Unsatisfiable 52.98s 7.21s
% Output   : CNFRefutation 52.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (  11 unt;   0 nHn;  10 RR)
%            Number of literals    :   22 (   2 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   37 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_typing_OApp_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.Tlv1U3hbx5/E---3.1_16435.p',cls_typing_OApp_0) ).

cnf(cls_typing_OVar_0,axiom,
    c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.Tlv1U3hbx5/E---3.1_16435.p',cls_typing_OVar_0) ).

cnf(cls_shift__eq_0,axiom,
    hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
    file('/export/starexec/sandbox2/tmp/tmp.Tlv1U3hbx5/E---3.1_16435.p',cls_shift__eq_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____),
    file('/export/starexec/sandbox2/tmp/tmp.Tlv1U3hbx5/E---3.1_16435.p',cls_conjecture_0) ).

cnf(cls_CHAINED_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
    file('/export/starexec/sandbox2/tmp/tmp.Tlv1U3hbx5/E---3.1_16435.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_typing_OApp_0]) ).

cnf(c_0_6,axiom,
    c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
    cls_typing_OVar_0 ).

cnf(c_0_7,axiom,
    hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
    cls_shift__eq_0 ).

cnf(c_0_8,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_9,plain,
    c_Type_Otyping(c_Type_Oshift(X1,X2,X3,X4),c_Lambda_OdB_OVar(X2),X3),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_11,plain,
    ( c_Type_Otyping(c_Type_Oshift(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2)),X6),X4)
    | ~ c_Type_Otyping(c_Type_Oshift(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5),X6,X3) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,axiom,
    c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
    cls_CHAINED_0 ).

cnf(c_0_13,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____),
    c_0_10 ).

cnf(c_0_14,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : LCL852-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 08:58:13 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.17/0.49  Running first-order model finding
% 0.17/0.49  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.Tlv1U3hbx5/E---3.1_16435.p
% 52.98/7.21  # Version: 3.1.0
% 52.98/7.21  # Preprocessing class: FSLSSMSMSSSNFFN.
% 52.98/7.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.98/7.21  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 52.98/7.21  # Starting new_bool_3 with 300s (1) cores
% 52.98/7.21  # Starting new_bool_1 with 300s (1) cores
% 52.98/7.21  # Starting sh5l with 300s (1) cores
% 52.98/7.21  # new_bool_1 with pid 16514 completed with status 0
% 52.98/7.21  # Result found by new_bool_1
% 52.98/7.21  # Preprocessing class: FSLSSMSMSSSNFFN.
% 52.98/7.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.98/7.21  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 52.98/7.21  # Starting new_bool_3 with 300s (1) cores
% 52.98/7.21  # Starting new_bool_1 with 300s (1) cores
% 52.98/7.21  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 52.98/7.21  # Search class: FGHSM-FSLM32-MFFFFFNN
% 52.98/7.21  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 52.98/7.21  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 52.98/7.21  # G-E--_303_C18_F1_URBAN_S0Y with pid 16517 completed with status 0
% 52.98/7.21  # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 52.98/7.21  # Preprocessing class: FSLSSMSMSSSNFFN.
% 52.98/7.21  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.98/7.21  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 52.98/7.21  # Starting new_bool_3 with 300s (1) cores
% 52.98/7.21  # Starting new_bool_1 with 300s (1) cores
% 52.98/7.21  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 52.98/7.21  # Search class: FGHSM-FSLM32-MFFFFFNN
% 52.98/7.21  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 52.98/7.21  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 52.98/7.21  # Preprocessing time       : 0.013 s
% 52.98/7.21  
% 52.98/7.21  # Proof found!
% 52.98/7.21  # SZS status Unsatisfiable
% 52.98/7.21  # SZS output start CNFRefutation
% See solution above
% 52.98/7.21  # Parsed axioms                        : 607
% 52.98/7.21  # Removed by relevancy pruning/SinE    : 356
% 52.98/7.21  # Initial clauses                      : 251
% 52.98/7.21  # Removed in clause preprocessing      : 0
% 52.98/7.21  # Initial clauses in saturation        : 251
% 52.98/7.21  # Processed clauses                    : 6936
% 52.98/7.21  # ...of these trivial                  : 157
% 52.98/7.21  # ...subsumed                          : 4804
% 52.98/7.21  # ...remaining for further processing  : 1975
% 52.98/7.21  # Other redundant clauses eliminated   : 225
% 52.98/7.21  # Clauses deleted for lack of memory   : 0
% 52.98/7.21  # Backward-subsumed                    : 239
% 52.98/7.21  # Backward-rewritten                   : 20
% 52.98/7.21  # Generated clauses                    : 239690
% 52.98/7.21  # ...of the previous two non-redundant : 217791
% 52.98/7.21  # ...aggressively subsumed             : 0
% 52.98/7.21  # Contextual simplify-reflections      : 120
% 52.98/7.21  # Paramodulations                      : 239354
% 52.98/7.21  # Factorizations                       : 25
% 52.98/7.21  # NegExts                              : 0
% 52.98/7.21  # Equation resolutions                 : 311
% 52.98/7.21  # Disequality decompositions           : 0
% 52.98/7.21  # Total rewrite steps                  : 151444
% 52.98/7.21  # ...of those cached                   : 137948
% 52.98/7.21  # Propositional unsat checks           : 0
% 52.98/7.21  #    Propositional check models        : 0
% 52.98/7.21  #    Propositional check unsatisfiable : 0
% 52.98/7.21  #    Propositional clauses             : 0
% 52.98/7.21  #    Propositional clauses after purity: 0
% 52.98/7.21  #    Propositional unsat core size     : 0
% 52.98/7.21  #    Propositional preprocessing time  : 0.000
% 52.98/7.21  #    Propositional encoding time       : 0.000
% 52.98/7.21  #    Propositional solver time         : 0.000
% 52.98/7.21  #    Success case prop preproc time    : 0.000
% 52.98/7.21  #    Success case prop encoding time   : 0.000
% 52.98/7.21  #    Success case prop solver time     : 0.000
% 52.98/7.21  # Current number of processed clauses  : 1716
% 52.98/7.21  #    Positive orientable unit clauses  : 130
% 52.98/7.21  #    Positive unorientable unit clauses: 7
% 52.98/7.21  #    Negative unit clauses             : 172
% 52.98/7.21  #    Non-unit-clauses                  : 1407
% 52.98/7.21  # Current number of unprocessed clauses: 210950
% 52.98/7.21  # ...number of literals in the above   : 761053
% 52.98/7.21  # Current number of archived formulas  : 0
% 52.98/7.21  # Current number of archived clauses   : 259
% 52.98/7.21  # Clause-clause subsumption calls (NU) : 316243
% 52.98/7.21  # Rec. Clause-clause subsumption calls : 214411
% 52.98/7.21  # Non-unit clause-clause subsumptions  : 2149
% 52.98/7.21  # Unit Clause-clause subsumption calls : 20075
% 52.98/7.21  # Rewrite failures with RHS unbound    : 0
% 52.98/7.21  # BW rewrite match attempts            : 264
% 52.98/7.21  # BW rewrite match successes           : 76
% 52.98/7.21  # Condensation attempts                : 0
% 52.98/7.21  # Condensation successes               : 0
% 52.98/7.21  # Termbank termtop insertions          : 6367603
% 52.98/7.21  # Search garbage collected termcells   : 1700
% 52.98/7.21  
% 52.98/7.21  # -------------------------------------------------
% 52.98/7.21  # User time                : 6.363 s
% 52.98/7.21  # System time              : 0.203 s
% 52.98/7.21  # Total time               : 6.565 s
% 52.98/7.21  # Maximum resident set size: 2496 pages
% 52.98/7.21  
% 52.98/7.21  # -------------------------------------------------
% 52.98/7.21  # User time                : 6.376 s
% 52.98/7.21  # System time              : 0.205 s
% 52.98/7.21  # Total time               : 6.581 s
% 52.98/7.21  # Maximum resident set size: 2124 pages
% 52.98/7.21  % E---3.1 exiting
%------------------------------------------------------------------------------