TSTP Solution File: LCL856-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL856-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 18:34:04 EDT 2023

% Result   : Unsatisfiable 0.12s 0.42s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :    8 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
    file('/export/starexec/sandbox2/tmp/tmp.P3iQQw6oBI/E---3.1_32367.p',cls_conjecture_1) ).

cnf(cls_IT__implies__termi_0,axiom,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.P3iQQw6oBI/E---3.1_32367.p',cls_IT__implies__termi_0) ).

cnf(cls_type__implies__IT_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Type_Otyping(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.P3iQQw6oBI/E---3.1_32367.p',cls_type__implies__IT_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Type_Otyping(v_e,v_t,v_T),
    file('/export/starexec/sandbox2/tmp/tmp.P3iQQw6oBI/E---3.1_32367.p',cls_conjecture_0) ).

cnf(c_0_4,negated_conjecture,
    ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
    cls_conjecture_1 ).

cnf(c_0_5,axiom,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    cls_IT__implies__termi_0 ).

cnf(c_0_6,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Type_Otyping(X2,X1,X3) ),
    cls_type__implies__IT_0 ).

cnf(c_0_7,negated_conjecture,
    c_Type_Otyping(v_e,v_t,v_T),
    cls_conjecture_0 ).

cnf(c_0_8,negated_conjecture,
    ~ hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : LCL856-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.09  % Command    : run_E %s %d THM
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 2400
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Mon Oct  2 12:25:34 EDT 2023
% 0.08/0.28  % CPUTime    : 
% 0.12/0.40  Running first-order model finding
% 0.12/0.40  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.P3iQQw6oBI/E---3.1_32367.p
% 0.12/0.42  # Version: 3.1pre001
% 0.12/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.12/0.42  # Starting sh5l with 300s (1) cores
% 0.12/0.42  # new_bool_3 with pid 32446 completed with status 0
% 0.12/0.42  # Result found by new_bool_3
% 0.12/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.42  # Search class: FGUSM-FFLF32-MFFFFFNN
% 0.12/0.42  # partial match(2): FGHSM-FFMF32-MFFFFFNN
% 0.12/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.42  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S038I with 181s (1) cores
% 0.12/0.42  # G-E--_208_C18_F1_SE_CS_SP_PS_S038I with pid 32449 completed with status 0
% 0.12/0.42  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S038I
% 0.12/0.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.12/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.42  # Search class: FGUSM-FFLF32-MFFFFFNN
% 0.12/0.42  # partial match(2): FGHSM-FFMF32-MFFFFFNN
% 0.12/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.42  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S038I with 181s (1) cores
% 0.12/0.42  # Preprocessing time       : 0.004 s
% 0.12/0.42  # Presaturation interreduction done
% 0.12/0.42  
% 0.12/0.42  # Proof found!
% 0.12/0.42  # SZS status Unsatisfiable
% 0.12/0.42  # SZS output start CNFRefutation
% See solution above
% 0.12/0.42  # Parsed axioms                        : 187
% 0.12/0.42  # Removed by relevancy pruning/SinE    : 84
% 0.12/0.42  # Initial clauses                      : 103
% 0.12/0.42  # Removed in clause preprocessing      : 0
% 0.12/0.42  # Initial clauses in saturation        : 103
% 0.12/0.42  # Processed clauses                    : 119
% 0.12/0.42  # ...of these trivial                  : 3
% 0.12/0.42  # ...subsumed                          : 9
% 0.12/0.42  # ...remaining for further processing  : 107
% 0.12/0.42  # Other redundant clauses eliminated   : 0
% 0.12/0.42  # Clauses deleted for lack of memory   : 0
% 0.12/0.42  # Backward-subsumed                    : 0
% 0.12/0.42  # Backward-rewritten                   : 0
% 0.12/0.42  # Generated clauses                    : 5
% 0.12/0.42  # ...of the previous two non-redundant : 1
% 0.12/0.42  # ...aggressively subsumed             : 0
% 0.12/0.42  # Contextual simplify-reflections      : 0
% 0.12/0.42  # Paramodulations                      : 3
% 0.12/0.42  # Factorizations                       : 0
% 0.12/0.42  # NegExts                              : 0
% 0.12/0.42  # Equation resolutions                 : 2
% 0.12/0.42  # Total rewrite steps                  : 3
% 0.12/0.42  # Propositional unsat checks           : 0
% 0.12/0.42  #    Propositional check models        : 0
% 0.12/0.42  #    Propositional check unsatisfiable : 0
% 0.12/0.42  #    Propositional clauses             : 0
% 0.12/0.42  #    Propositional clauses after purity: 0
% 0.12/0.42  #    Propositional unsat core size     : 0
% 0.12/0.42  #    Propositional preprocessing time  : 0.000
% 0.12/0.42  #    Propositional encoding time       : 0.000
% 0.12/0.42  #    Propositional solver time         : 0.000
% 0.12/0.42  #    Success case prop preproc time    : 0.000
% 0.12/0.42  #    Success case prop encoding time   : 0.000
% 0.12/0.42  #    Success case prop solver time     : 0.000
% 0.12/0.42  # Current number of processed clauses  : 16
% 0.12/0.42  #    Positive orientable unit clauses  : 4
% 0.12/0.42  #    Positive unorientable unit clauses: 0
% 0.12/0.42  #    Negative unit clauses             : 6
% 0.12/0.42  #    Non-unit-clauses                  : 6
% 0.12/0.42  # Current number of unprocessed clauses: 76
% 0.12/0.42  # ...number of literals in the above   : 160
% 0.12/0.42  # Current number of archived formulas  : 0
% 0.12/0.42  # Current number of archived clauses   : 91
% 0.12/0.42  # Clause-clause subsumption calls (NU) : 812
% 0.12/0.42  # Rec. Clause-clause subsumption calls : 807
% 0.12/0.42  # Non-unit clause-clause subsumptions  : 6
% 0.12/0.42  # Unit Clause-clause subsumption calls : 16
% 0.12/0.42  # Rewrite failures with RHS unbound    : 0
% 0.12/0.42  # BW rewrite match attempts            : 3
% 0.12/0.42  # BW rewrite match successes           : 0
% 0.12/0.42  # Condensation attempts                : 0
% 0.12/0.42  # Condensation successes               : 0
% 0.12/0.42  # Termbank termtop insertions          : 4588
% 0.12/0.42  
% 0.12/0.42  # -------------------------------------------------
% 0.12/0.42  # User time                : 0.006 s
% 0.12/0.42  # System time              : 0.006 s
% 0.12/0.42  # Total time               : 0.012 s
% 0.12/0.42  # Maximum resident set size: 1980 pages
% 0.12/0.42  
% 0.12/0.42  # -------------------------------------------------
% 0.12/0.42  # User time                : 0.010 s
% 0.12/0.42  # System time              : 0.009 s
% 0.12/0.42  # Total time               : 0.019 s
% 0.12/0.42  # Maximum resident set size: 1836 pages
% 0.12/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------