TSTP Solution File: LCL800-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL800-1 : 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:33:54 EDT 2023

% Result   : Unsatisfiable 0.16s 0.51s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   5 RR)
%            Number of literals    :   12 (   7 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   22 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_subst__App_0,axiom,
    c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,X2),X3,X4) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X3,X4),c_Lambda_Osubst(X2,X3,X4)),
    file('/export/starexec/sandbox2/tmp/tmp.DFotmsZaGX/E---3.1_28681.p',cls_subst__App_0) ).

cnf(cls_subst__lift_0,axiom,
    c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.DFotmsZaGX/E---3.1_28681.p',cls_subst__lift_0) ).

cnf(cls_CHAINED_0,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox2/tmp/tmp.DFotmsZaGX/E---3.1_28681.p',cls_CHAINED_0) ).

cnf(cls_subst__eq_0,axiom,
    c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.DFotmsZaGX/E---3.1_28681.p',cls_subst__eq_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    file('/export/starexec/sandbox2/tmp/tmp.DFotmsZaGX/E---3.1_28681.p',cls_conjecture_0) ).

cnf(c_0_5,axiom,
    c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,X2),X3,X4) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X3,X4),c_Lambda_Osubst(X2,X3,X4)),
    cls_subst__App_0 ).

cnf(c_0_6,axiom,
    c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
    cls_subst__lift_0 ).

cnf(c_0_7,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    cls_CHAINED_0 ).

cnf(c_0_8,plain,
    c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(X1,X2),X3),X4,X2) = c_Lambda_OdB_OApp(X1,c_Lambda_Osubst(X3,X4,X2)),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,axiom,
    c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
    cls_subst__eq_0 ).

cnf(c_0_10,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    cls_conjecture_0 ).

cnf(c_0_11,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL800-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n021.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
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 12:07:28 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.45  Running first-order model finding
% 0.16/0.45  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.DFotmsZaGX/E---3.1_28681.p
% 0.16/0.51  # Version: 3.1pre001
% 0.16/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.51  # Starting sh5l with 300s (1) cores
% 0.16/0.51  # new_bool_1 with pid 28761 completed with status 0
% 0.16/0.51  # Result found by new_bool_1
% 0.16/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.51  # Search class: FGHSM-FFLM32-MFFFFFNN
% 0.16/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.51  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.51  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 28764 completed with status 0
% 0.16/0.51  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 0.16/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.51  # Search class: FGHSM-FFLM32-MFFFFFNN
% 0.16/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.51  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 181s (1) cores
% 0.16/0.51  # Preprocessing time       : 0.004 s
% 0.16/0.51  
% 0.16/0.51  # Proof found!
% 0.16/0.51  # SZS status Unsatisfiable
% 0.16/0.51  # SZS output start CNFRefutation
% See solution above
% 0.16/0.51  # Parsed axioms                        : 390
% 0.16/0.51  # Removed by relevancy pruning/SinE    : 220
% 0.16/0.51  # Initial clauses                      : 170
% 0.16/0.51  # Removed in clause preprocessing      : 0
% 0.16/0.51  # Initial clauses in saturation        : 170
% 0.16/0.51  # Processed clauses                    : 264
% 0.16/0.51  # ...of these trivial                  : 18
% 0.16/0.51  # ...subsumed                          : 78
% 0.16/0.51  # ...remaining for further processing  : 168
% 0.16/0.51  # Other redundant clauses eliminated   : 0
% 0.16/0.51  # Clauses deleted for lack of memory   : 0
% 0.16/0.51  # Backward-subsumed                    : 2
% 0.16/0.51  # Backward-rewritten                   : 6
% 0.16/0.51  # Generated clauses                    : 1904
% 0.16/0.51  # ...of the previous two non-redundant : 1595
% 0.16/0.51  # ...aggressively subsumed             : 0
% 0.16/0.51  # Contextual simplify-reflections      : 1
% 0.16/0.51  # Paramodulations                      : 1888
% 0.16/0.51  # Factorizations                       : 2
% 0.16/0.51  # NegExts                              : 0
% 0.16/0.51  # Equation resolutions                 : 14
% 0.16/0.51  # Total rewrite steps                  : 1471
% 0.16/0.51  # Propositional unsat checks           : 0
% 0.16/0.51  #    Propositional check models        : 0
% 0.16/0.51  #    Propositional check unsatisfiable : 0
% 0.16/0.51  #    Propositional clauses             : 0
% 0.16/0.51  #    Propositional clauses after purity: 0
% 0.16/0.51  #    Propositional unsat core size     : 0
% 0.16/0.51  #    Propositional preprocessing time  : 0.000
% 0.16/0.51  #    Propositional encoding time       : 0.000
% 0.16/0.51  #    Propositional solver time         : 0.000
% 0.16/0.51  #    Success case prop preproc time    : 0.000
% 0.16/0.51  #    Success case prop encoding time   : 0.000
% 0.16/0.51  #    Success case prop solver time     : 0.000
% 0.16/0.51  # Current number of processed clauses  : 160
% 0.16/0.51  #    Positive orientable unit clauses  : 45
% 0.16/0.51  #    Positive unorientable unit clauses: 5
% 0.16/0.51  #    Negative unit clauses             : 20
% 0.16/0.51  #    Non-unit-clauses                  : 90
% 0.16/0.51  # Current number of unprocessed clauses: 1492
% 0.16/0.51  # ...number of literals in the above   : 3041
% 0.16/0.51  # Current number of archived formulas  : 0
% 0.16/0.51  # Current number of archived clauses   : 8
% 0.16/0.51  # Clause-clause subsumption calls (NU) : 1250
% 0.16/0.51  # Rec. Clause-clause subsumption calls : 1233
% 0.16/0.51  # Non-unit clause-clause subsumptions  : 30
% 0.16/0.51  # Unit Clause-clause subsumption calls : 185
% 0.16/0.51  # Rewrite failures with RHS unbound    : 0
% 0.16/0.51  # BW rewrite match attempts            : 70
% 0.16/0.51  # BW rewrite match successes           : 38
% 0.16/0.51  # Condensation attempts                : 0
% 0.16/0.51  # Condensation successes               : 0
% 0.16/0.51  # Termbank termtop insertions          : 34173
% 0.16/0.51  
% 0.16/0.51  # -------------------------------------------------
% 0.16/0.51  # User time                : 0.037 s
% 0.16/0.51  # System time              : 0.006 s
% 0.16/0.51  # Total time               : 0.043 s
% 0.16/0.51  # Maximum resident set size: 2184 pages
% 0.16/0.51  
% 0.16/0.51  # -------------------------------------------------
% 0.16/0.51  # User time                : 0.045 s
% 0.16/0.51  # System time              : 0.009 s
% 0.16/0.51  # Total time               : 0.054 s
% 0.16/0.51  # Maximum resident set size: 1936 pages
% 0.16/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------