TSTP Solution File: LCL773-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL773-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 : Tue May 21 00:03:38 EDT 2024

% Result   : Unsatisfiable 0.16s 0.47s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    9 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_subst__Var__IT_0,axiom,
    ( c_InductTermi_OIT(c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))
    | ~ c_InductTermi_OIT(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__Var__IT_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_InductTermi_OIT(v_r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_3,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_4,plain,
    ( c_InductTermi_OIT(c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))
    | ~ c_InductTermi_OIT(X1) ),
    inference(fof_simplification,[status(thm)],[cls_subst__Var__IT_0]) ).

cnf(c_0_5,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
    c_0_3 ).

cnf(c_0_6,plain,
    ( c_InductTermi_OIT(c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))
    | ~ c_InductTermi_OIT(X1) ),
    c_0_4 ).

cnf(c_0_7,negated_conjecture,
    c_InductTermi_OIT(v_r),
    cls_conjecture_0 ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : LCL773-1 : TPTP v8.2.0. Released v4.1.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n012.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   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon May 20 00:56:37 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  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/benchmark/theBenchmark.p
% 0.16/0.47  # Version: 3.1.0
% 0.16/0.47  # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.16/0.47  # Starting new_bool_3 with 600s (2) cores
% 0.16/0.47  # Starting new_bool_1 with 600s (2) cores
% 0.16/0.47  # Starting sh5l with 300s (1) cores
% 0.16/0.47  # new_bool_3 with pid 17073 completed with status 0
% 0.16/0.47  # Result found by new_bool_3
% 0.16/0.47  # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.16/0.47  # Starting new_bool_3 with 600s (2) cores
% 0.16/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.47  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.16/0.47  # Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.16/0.47  # Starting G-E--_303_C18_F1_URBAN_S0Y with 50s (1) cores
% 0.16/0.47  # Starting new_bool_3 with 61s (1) cores
% 0.16/0.47  # G-E--_303_C18_F1_URBAN_S0Y with pid 17076 completed with status 0
% 0.16/0.47  # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.16/0.47  # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.16/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.16/0.47  # Starting new_bool_3 with 600s (2) cores
% 0.16/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.47  # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.16/0.47  # Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.16/0.47  # Starting G-E--_303_C18_F1_URBAN_S0Y with 50s (1) cores
% 0.16/0.47  # Preprocessing time       : 0.005 s
% 0.16/0.47  
% 0.16/0.47  # Proof found!
% 0.16/0.47  # SZS status Unsatisfiable
% 0.16/0.47  # SZS output start CNFRefutation
% See solution above
% 0.16/0.47  # Parsed axioms                        : 1103
% 0.16/0.47  # Removed by relevancy pruning/SinE    : 869
% 0.16/0.47  # Initial clauses                      : 234
% 0.16/0.47  # Removed in clause preprocessing      : 0
% 0.16/0.47  # Initial clauses in saturation        : 234
% 0.16/0.47  # Processed clauses                    : 45
% 0.16/0.47  # ...of these trivial                  : 3
% 0.16/0.47  # ...subsumed                          : 11
% 0.16/0.47  # ...remaining for further processing  : 31
% 0.16/0.47  # Other redundant clauses eliminated   : 0
% 0.16/0.47  # Clauses deleted for lack of memory   : 0
% 0.16/0.47  # Backward-subsumed                    : 0
% 0.16/0.47  # Backward-rewritten                   : 1
% 0.16/0.47  # Generated clauses                    : 9
% 0.16/0.47  # ...of the previous two non-redundant : 3
% 0.16/0.47  # ...aggressively subsumed             : 0
% 0.16/0.47  # Contextual simplify-reflections      : 0
% 0.16/0.47  # Paramodulations                      : 6
% 0.16/0.47  # Factorizations                       : 0
% 0.16/0.47  # NegExts                              : 0
% 0.16/0.47  # Equation resolutions                 : 3
% 0.16/0.47  # Disequality decompositions           : 0
% 0.16/0.47  # Total rewrite steps                  : 5
% 0.16/0.47  # ...of those cached                   : 0
% 0.16/0.47  # Propositional unsat checks           : 0
% 0.16/0.47  #    Propositional check models        : 0
% 0.16/0.47  #    Propositional check unsatisfiable : 0
% 0.16/0.47  #    Propositional clauses             : 0
% 0.16/0.47  #    Propositional clauses after purity: 0
% 0.16/0.47  #    Propositional unsat core size     : 0
% 0.16/0.47  #    Propositional preprocessing time  : 0.000
% 0.16/0.47  #    Propositional encoding time       : 0.000
% 0.16/0.47  #    Propositional solver time         : 0.000
% 0.16/0.47  #    Success case prop preproc time    : 0.000
% 0.16/0.47  #    Success case prop encoding time   : 0.000
% 0.16/0.47  #    Success case prop solver time     : 0.000
% 0.16/0.47  # Current number of processed clauses  : 30
% 0.16/0.47  #    Positive orientable unit clauses  : 11
% 0.16/0.47  #    Positive unorientable unit clauses: 0
% 0.16/0.47  #    Negative unit clauses             : 11
% 0.16/0.47  #    Non-unit-clauses                  : 8
% 0.16/0.47  # Current number of unprocessed clauses: 192
% 0.16/0.47  # ...number of literals in the above   : 386
% 0.16/0.47  # Current number of archived formulas  : 0
% 0.16/0.47  # Current number of archived clauses   : 1
% 0.16/0.47  # Clause-clause subsumption calls (NU) : 17
% 0.16/0.47  # Rec. Clause-clause subsumption calls : 17
% 0.16/0.47  # Non-unit clause-clause subsumptions  : 1
% 0.16/0.47  # Unit Clause-clause subsumption calls : 20
% 0.16/0.47  # Rewrite failures with RHS unbound    : 0
% 0.16/0.47  # BW rewrite match attempts            : 1
% 0.16/0.47  # BW rewrite match successes           : 1
% 0.16/0.47  # Condensation attempts                : 0
% 0.16/0.47  # Condensation successes               : 0
% 0.16/0.47  # Termbank termtop insertions          : 15233
% 0.16/0.47  # Search garbage collected termcells   : 3417
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.008 s
% 0.16/0.47  # System time              : 0.005 s
% 0.16/0.47  # Total time               : 0.014 s
% 0.16/0.47  # Maximum resident set size: 2788 pages
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.037 s
% 0.16/0.47  # System time              : 0.010 s
% 0.16/0.47  # Total time               : 0.047 s
% 0.16/0.47  # Maximum resident set size: 2432 pages
% 0.16/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------