TSTP Solution File: LCL834-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL834-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 18:34:00 EDT 2023

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-5 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
    file('/export/starexec/sandbox/tmp/tmp.LLTQSrfVLL/E---3.1_29464.p',cls_conjecture_0) ).

cnf(cls_apps__preserves__beta_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.LLTQSrfVLL/E---3.1_29464.p',cls_apps__preserves__beta_0) ).

cnf(cls_beta_0,axiom,
    hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)))),
    file('/export/starexec/sandbox/tmp/tmp.LLTQSrfVLL/E---3.1_29464.p',cls_beta_0) ).

cnf(c_0_3,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
    cls_conjecture_0 ).

cnf(c_0_4,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) ),
    cls_apps__preserves__beta_0 ).

cnf(c_0_5,axiom,
    hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)))),
    cls_beta_0 ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL834-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.12/0.35  % Computer : n001.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 2400
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon Oct  2 13:15:36 EDT 2023
% 0.12/0.35  % CPUTime    : 
% 0.20/0.52  Running first-order model finding
% 0.20/0.52  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.LLTQSrfVLL/E---3.1_29464.p
% 0.20/0.57  # Version: 3.1pre001
% 0.20/0.57  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.57  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.57  # Starting new_bool_3 with 600s (2) cores
% 0.20/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.57  # Starting sh5l with 300s (1) cores
% 0.20/0.57  # new_bool_3 with pid 29542 completed with status 0
% 0.20/0.57  # Result found by new_bool_3
% 0.20/0.57  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.57  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.57  # Starting new_bool_3 with 600s (2) cores
% 0.20/0.57  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.57  # Search class: FGUSM-FFLS32-DFFFFFNN
% 0.20/0.57  # partial match(1): FGHSM-FFLS32-DFFFFFNN
% 0.20/0.57  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.20/0.57  # Starting new_ho_10 with 109s (1) cores
% 0.20/0.57  # Starting new_bool_3 with 61s (1) cores
% 0.20/0.57  # new_ho_10 with pid 29545 completed with status 0
% 0.20/0.57  # Result found by new_ho_10
% 0.20/0.57  # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.57  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.57  # Starting new_bool_3 with 600s (2) cores
% 0.20/0.57  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.57  # Search class: FGUSM-FFLS32-DFFFFFNN
% 0.20/0.57  # partial match(1): FGHSM-FFLS32-DFFFFFNN
% 0.20/0.57  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.20/0.57  # Starting new_ho_10 with 109s (1) cores
% 0.20/0.57  # Preprocessing time       : 0.003 s
% 0.20/0.57  # Presaturation interreduction done
% 0.20/0.57  
% 0.20/0.57  # Proof found!
% 0.20/0.57  # SZS status Unsatisfiable
% 0.20/0.57  # SZS output start CNFRefutation
% See solution above
% 0.20/0.57  # Parsed axioms                        : 472
% 0.20/0.57  # Removed by relevancy pruning/SinE    : 301
% 0.20/0.57  # Initial clauses                      : 171
% 0.20/0.57  # Removed in clause preprocessing      : 0
% 0.20/0.57  # Initial clauses in saturation        : 171
% 0.20/0.57  # Processed clauses                    : 248
% 0.20/0.57  # ...of these trivial                  : 19
% 0.20/0.57  # ...subsumed                          : 29
% 0.20/0.57  # ...remaining for further processing  : 200
% 0.20/0.57  # Other redundant clauses eliminated   : 0
% 0.20/0.57  # Clauses deleted for lack of memory   : 0
% 0.20/0.57  # Backward-subsumed                    : 3
% 0.20/0.57  # Backward-rewritten                   : 5
% 0.20/0.57  # Generated clauses                    : 68
% 0.20/0.57  # ...of the previous two non-redundant : 31
% 0.20/0.57  # ...aggressively subsumed             : 0
% 0.20/0.57  # Contextual simplify-reflections      : 0
% 0.20/0.57  # Paramodulations                      : 54
% 0.20/0.57  # Factorizations                       : 0
% 0.20/0.57  # NegExts                              : 0
% 0.20/0.57  # Equation resolutions                 : 14
% 0.20/0.57  # Total rewrite steps                  : 33
% 0.20/0.57  # Propositional unsat checks           : 0
% 0.20/0.57  #    Propositional check models        : 0
% 0.20/0.57  #    Propositional check unsatisfiable : 0
% 0.20/0.57  #    Propositional clauses             : 0
% 0.20/0.57  #    Propositional clauses after purity: 0
% 0.20/0.57  #    Propositional unsat core size     : 0
% 0.20/0.57  #    Propositional preprocessing time  : 0.000
% 0.20/0.57  #    Propositional encoding time       : 0.000
% 0.20/0.57  #    Propositional solver time         : 0.000
% 0.20/0.57  #    Success case prop preproc time    : 0.000
% 0.20/0.57  #    Success case prop encoding time   : 0.000
% 0.20/0.57  #    Success case prop solver time     : 0.000
% 0.20/0.57  # Current number of processed clauses  : 68
% 0.20/0.57  #    Positive orientable unit clauses  : 15
% 0.20/0.57  #    Positive unorientable unit clauses: 0
% 0.20/0.57  #    Negative unit clauses             : 15
% 0.20/0.57  #    Non-unit-clauses                  : 38
% 0.20/0.57  # Current number of unprocessed clauses: 78
% 0.20/0.57  # ...number of literals in the above   : 164
% 0.20/0.57  # Current number of archived formulas  : 0
% 0.20/0.57  # Current number of archived clauses   : 132
% 0.20/0.57  # Clause-clause subsumption calls (NU) : 2169
% 0.20/0.57  # Rec. Clause-clause subsumption calls : 1791
% 0.20/0.57  # Non-unit clause-clause subsumptions  : 16
% 0.20/0.57  # Unit Clause-clause subsumption calls : 140
% 0.20/0.57  # Rewrite failures with RHS unbound    : 0
% 0.20/0.57  # BW rewrite match attempts            : 80
% 0.20/0.57  # BW rewrite match successes           : 15
% 0.20/0.57  # Condensation attempts                : 248
% 0.20/0.57  # Condensation successes               : 0
% 0.20/0.57  # Termbank termtop insertions          : 10312
% 0.20/0.57  
% 0.20/0.57  # -------------------------------------------------
% 0.20/0.57  # User time                : 0.018 s
% 0.20/0.57  # System time              : 0.006 s
% 0.20/0.57  # Total time               : 0.024 s
% 0.20/0.57  # Maximum resident set size: 2556 pages
% 0.20/0.57  
% 0.20/0.57  # -------------------------------------------------
% 0.20/0.57  # User time                : 0.049 s
% 0.20/0.57  # System time              : 0.010 s
% 0.20/0.57  # Total time               : 0.060 s
% 0.20/0.57  # Maximum resident set size: 2076 pages
% 0.20/0.57  % E---3.1 exiting
%------------------------------------------------------------------------------