TSTP Solution File: LCL855-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL855-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 : Mon May 20 23:53:47 EDT 2024

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   6 RR)
%            Number of literals    :   12 (   6 equ;   3 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    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_CHAINED_0,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(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_s____,c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

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/sandbox/benchmark/theBenchmark.p',cls_subst__App_0) ).

cnf(cls_subst__eq_0,axiom,
    c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).

cnf(cls_subst__lift_0,axiom,
    c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lift_0) ).

cnf(c_0_5,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_6,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(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_s____,c_HOL_Ozero__class_Ozero(tc_nat))),
    cls_CHAINED_0 ).

cnf(c_0_7,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_8,axiom,
    c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
    cls_subst__eq_0 ).

cnf(c_0_9,axiom,
    c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
    cls_subst__lift_0 ).

cnf(c_0_10,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
    c_0_5 ).

cnf(c_0_11,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL855-1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon May 20 01:34:07 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  # Version: 3.1.0
% 0.18/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.50  # Starting sh5l with 300s (1) cores
% 0.18/0.50  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 31883 completed with status 0
% 0.18/0.50  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.18/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.50  # No SInE strategy applied
% 0.18/0.50  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.18/0.50  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.18/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.50  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.18/0.50  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.18/0.50  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.18/0.50  # G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 31892 completed with status 0
% 0.18/0.50  # Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 0.18/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.50  # No SInE strategy applied
% 0.18/0.50  # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.18/0.50  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.18/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.50  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.18/0.50  # Preprocessing time       : 0.004 s
% 0.18/0.50  # Presaturation interreduction done
% 0.18/0.50  
% 0.18/0.50  # Proof found!
% 0.18/0.50  # SZS status Unsatisfiable
% 0.18/0.50  # SZS output start CNFRefutation
% See solution above
% 0.18/0.50  # Parsed axioms                        : 384
% 0.18/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.50  # Initial clauses                      : 384
% 0.18/0.50  # Removed in clause preprocessing      : 1
% 0.18/0.50  # Initial clauses in saturation        : 383
% 0.18/0.50  # Processed clauses                    : 249
% 0.18/0.50  # ...of these trivial                  : 14
% 0.18/0.50  # ...subsumed                          : 38
% 0.18/0.50  # ...remaining for further processing  : 197
% 0.18/0.50  # Other redundant clauses eliminated   : 0
% 0.18/0.50  # Clauses deleted for lack of memory   : 0
% 0.18/0.50  # Backward-subsumed                    : 0
% 0.18/0.50  # Backward-rewritten                   : 2
% 0.18/0.50  # Generated clauses                    : 0
% 0.18/0.50  # ...of the previous two non-redundant : 1
% 0.18/0.50  # ...aggressively subsumed             : 0
% 0.18/0.50  # Contextual simplify-reflections      : 0
% 0.18/0.50  # Paramodulations                      : 0
% 0.18/0.50  # Factorizations                       : 0
% 0.18/0.50  # NegExts                              : 0
% 0.18/0.50  # Equation resolutions                 : 0
% 0.18/0.50  # Disequality decompositions           : 0
% 0.18/0.50  # Total rewrite steps                  : 23
% 0.18/0.50  # ...of those cached                   : 5
% 0.18/0.50  # Propositional unsat checks           : 0
% 0.18/0.50  #    Propositional check models        : 0
% 0.18/0.50  #    Propositional check unsatisfiable : 0
% 0.18/0.50  #    Propositional clauses             : 0
% 0.18/0.50  #    Propositional clauses after purity: 0
% 0.18/0.50  #    Propositional unsat core size     : 0
% 0.18/0.50  #    Propositional preprocessing time  : 0.000
% 0.18/0.50  #    Propositional encoding time       : 0.000
% 0.18/0.50  #    Propositional solver time         : 0.000
% 0.18/0.50  #    Success case prop preproc time    : 0.000
% 0.18/0.50  #    Success case prop encoding time   : 0.000
% 0.18/0.50  #    Success case prop solver time     : 0.000
% 0.18/0.50  # Current number of processed clauses  : 195
% 0.18/0.50  #    Positive orientable unit clauses  : 50
% 0.18/0.50  #    Positive unorientable unit clauses: 3
% 0.18/0.50  #    Negative unit clauses             : 11
% 0.18/0.50  #    Non-unit-clauses                  : 131
% 0.18/0.50  # Current number of unprocessed clauses: 135
% 0.18/0.50  # ...number of literals in the above   : 368
% 0.18/0.50  # Current number of archived formulas  : 0
% 0.18/0.50  # Current number of archived clauses   : 3
% 0.18/0.50  # Clause-clause subsumption calls (NU) : 1899
% 0.18/0.50  # Rec. Clause-clause subsumption calls : 1667
% 0.18/0.50  # Non-unit clause-clause subsumptions  : 27
% 0.18/0.50  # Unit Clause-clause subsumption calls : 23
% 0.18/0.50  # Rewrite failures with RHS unbound    : 0
% 0.18/0.50  # BW rewrite match attempts            : 42
% 0.18/0.50  # BW rewrite match successes           : 27
% 0.18/0.50  # Condensation attempts                : 0
% 0.18/0.50  # Condensation successes               : 0
% 0.18/0.50  # Termbank termtop insertions          : 10498
% 0.18/0.50  # Search garbage collected termcells   : 651
% 0.18/0.50  
% 0.18/0.50  # -------------------------------------------------
% 0.18/0.50  # User time                : 0.017 s
% 0.18/0.50  # System time              : 0.005 s
% 0.18/0.50  # Total time               : 0.022 s
% 0.18/0.50  # Maximum resident set size: 2428 pages
% 0.18/0.50  
% 0.18/0.50  # -------------------------------------------------
% 0.18/0.50  # User time                : 0.071 s
% 0.18/0.50  # System time              : 0.020 s
% 0.18/0.50  # Total time               : 0.091 s
% 0.18/0.50  # Maximum resident set size: 1940 pages
% 0.18/0.50  % E---3.1 exiting
% 0.18/0.50  % E exiting
%------------------------------------------------------------------------------