TSTP Solution File: LCL747-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL747-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 18:33:45 EDT 2023

% Result   : Unsatisfiable 463.05s 59.15s
% Output   : CNFRefutation 463.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (  21 unt;   3 nHn;   7 RR)
%            Number of literals    :   27 (  12 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   1 con; 0-4 aty)
%            Number of variables   :   85 (  41 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_not__less__eq_0,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.BDz7imDMAx/E---3.1_26022.p',cls_not__less__eq_0) ).

cnf(cls_Suc__eq__plus1_0,axiom,
    c_Suc(X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),
    file('/export/starexec/sandbox/tmp/tmp.BDz7imDMAx/E---3.1_26022.p',cls_Suc__eq__plus1_0) ).

cnf(cls_not__add__less2_0,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat),X2)),
    file('/export/starexec/sandbox/tmp/tmp.BDz7imDMAx/E---3.1_26022.p',cls_not__add__less2_0) ).

cnf(cls_COMBS__def_0,axiom,
    hAPP(hAPP(c_COMBS(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),hAPP(X5,X6)),
    file('/export/starexec/sandbox/tmp/tmp.BDz7imDMAx/E---3.1_26022.p',cls_COMBS__def_0) ).

cnf(cls_plus__nat_Oadd__0_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.BDz7imDMAx/E---3.1_26022.p',cls_plus__nat_Oadd__0_0) ).

cnf(cls_not__add__less1_0,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat),X1)),
    file('/export/starexec/sandbox/tmp/tmp.BDz7imDMAx/E---3.1_26022.p',cls_not__add__less1_0) ).

cnf(cls_nat__add__assoc_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)),
    file('/export/starexec/sandbox/tmp/tmp.BDz7imDMAx/E---3.1_26022.p',cls_nat__add__assoc_0) ).

cnf(cls_COMBB__def_0,axiom,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    file('/export/starexec/sandbox/tmp/tmp.BDz7imDMAx/E---3.1_26022.p',cls_COMBB__def_0) ).

cnf(c_0_8,axiom,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X2)))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
    cls_not__less__eq_0 ).

cnf(c_0_9,axiom,
    c_Suc(X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),
    cls_Suc__eq__plus1_0 ).

cnf(c_0_10,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat),X2)),
    cls_not__add__less2_0 ).

cnf(c_0_11,axiom,
    hAPP(hAPP(c_COMBS(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),hAPP(X5,X6)),
    cls_COMBS__def_0 ).

cnf(c_0_12,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = X1,
    cls_plus__nat_Oadd__0_0 ).

cnf(c_0_13,axiom,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat),X1)),
    cls_not__add__less1_0 ).

cnf(c_0_14,plain,
    ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
    | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)))) ),
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_15,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)),
    cls_nat__add__assoc_0 ).

cnf(c_0_16,axiom,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    cls_COMBB__def_0 ).

cnf(c_0_17,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3),X4),X5),tc_nat),hAPP(X4,X5))),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,plain,
    hAPP(hAPP(c_COMBS(X1,X2,X3,X4),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X5) = hAPP(hAPP(X1,X5),X5),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_19,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X2)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_20,plain,
    hAPP(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6,X7,X8),X9),X10) = hAPP(hAPP(X4,hAPP(X5,X10)),hAPP(X9,X10)),
    inference(spm,[status(thm)],[c_0_11,c_0_16]) ).

cnf(c_0_21,plain,
    ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_COMBS(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3),X4,X5,X6),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X7),tc_nat),hAPP(X7,X7))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X1,X2),tc_nat),hAPP(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(X3,X4,X5),c_HOL_Oplus__class_Oplus(tc_nat)),X1),X6,X7,X8),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat))),X2))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    $false,
    inference(spm,[status(thm)],[c_0_21,c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL747-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Oct  2 12:16:33 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.55  Running first-order model finding
% 0.21/0.55  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.BDz7imDMAx/E---3.1_26022.p
% 463.05/59.15  # Version: 3.1pre001
% 463.05/59.15  # Preprocessing class: FSLMSMSMSSSNFFN.
% 463.05/59.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 463.05/59.15  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 463.05/59.15  # Starting new_bool_3 with 600s (2) cores
% 463.05/59.15  # Starting new_bool_1 with 300s (1) cores
% 463.05/59.15  # Starting sh5l with 300s (1) cores
% 463.05/59.15  # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 26171 completed with status 0
% 463.05/59.15  # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 463.05/59.15  # Preprocessing class: FSLMSMSMSSSNFFN.
% 463.05/59.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 463.05/59.15  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 463.05/59.15  # No SInE strategy applied
% 463.05/59.15  # Search class: FGHSM-FSLM32-DFFFFFNN
% 463.05/59.15  # Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 463.05/59.15  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 90s (1) cores
% 463.05/59.15  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 463.05/59.15  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 463.05/59.15  # Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 90s (1) cores
% 463.05/59.15  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 26185 completed with status 0
% 463.05/59.15  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 463.05/59.15  # Preprocessing class: FSLMSMSMSSSNFFN.
% 463.05/59.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 463.05/59.15  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 463.05/59.15  # No SInE strategy applied
% 463.05/59.15  # Search class: FGHSM-FSLM32-DFFFFFNN
% 463.05/59.15  # Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 463.05/59.15  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 90s (1) cores
% 463.05/59.15  # Preprocessing time       : 0.123 s
% 463.05/59.15  
% 463.05/59.15  # Proof found!
% 463.05/59.15  # SZS status Unsatisfiable
% 463.05/59.15  # SZS output start CNFRefutation
% See solution above
% 463.05/59.15  # Parsed axioms                        : 728
% 463.05/59.15  # Removed by relevancy pruning/SinE    : 0
% 463.05/59.15  # Initial clauses                      : 728
% 463.05/59.15  # Removed in clause preprocessing      : 3
% 463.05/59.15  # Initial clauses in saturation        : 725
% 463.05/59.15  # Processed clauses                    : 20765
% 463.05/59.15  # ...of these trivial                  : 318
% 463.05/59.15  # ...subsumed                          : 15144
% 463.05/59.15  # ...remaining for further processing  : 5303
% 463.05/59.15  # Other redundant clauses eliminated   : 44
% 463.05/59.15  # Clauses deleted for lack of memory   : 0
% 463.05/59.15  # Backward-subsumed                    : 408
% 463.05/59.15  # Backward-rewritten                   : 79
% 463.05/59.15  # Generated clauses                    : 1348831
% 463.05/59.15  # ...of the previous two non-redundant : 1313316
% 463.05/59.15  # ...aggressively subsumed             : 0
% 463.05/59.15  # Contextual simplify-reflections      : 20
% 463.05/59.15  # Paramodulations                      : 1348636
% 463.05/59.15  # Factorizations                       : 66
% 463.05/59.15  # NegExts                              : 0
% 463.05/59.15  # Equation resolutions                 : 122
% 463.05/59.15  # Total rewrite steps                  : 363431
% 463.05/59.15  # Propositional unsat checks           : 1
% 463.05/59.15  #    Propositional check models        : 0
% 463.05/59.15  #    Propositional check unsatisfiable : 0
% 463.05/59.15  #    Propositional clauses             : 0
% 463.05/59.15  #    Propositional clauses after purity: 0
% 463.05/59.15  #    Propositional unsat core size     : 0
% 463.05/59.15  #    Propositional preprocessing time  : 0.000
% 463.05/59.15  #    Propositional encoding time       : 7.092
% 463.05/59.15  #    Propositional solver time         : 1.894
% 463.05/59.15  #    Success case prop preproc time    : 0.000
% 463.05/59.15  #    Success case prop encoding time   : 0.000
% 463.05/59.15  #    Success case prop solver time     : 0.000
% 463.05/59.15  # Current number of processed clauses  : 4809
% 463.05/59.15  #    Positive orientable unit clauses  : 373
% 463.05/59.15  #    Positive unorientable unit clauses: 99
% 463.05/59.15  #    Negative unit clauses             : 468
% 463.05/59.15  #    Non-unit-clauses                  : 3869
% 463.05/59.15  # Current number of unprocessed clauses: 1290725
% 463.05/59.15  # ...number of literals in the above   : 5008494
% 463.05/59.15  # Current number of archived formulas  : 0
% 463.05/59.15  # Current number of archived clauses   : 497
% 463.05/59.15  # Clause-clause subsumption calls (NU) : 1884135
% 463.05/59.15  # Rec. Clause-clause subsumption calls : 898751
% 463.05/59.15  # Non-unit clause-clause subsumptions  : 9518
% 463.05/59.15  # Unit Clause-clause subsumption calls : 60878
% 463.05/59.15  # Rewrite failures with RHS unbound    : 5096
% 463.05/59.15  # BW rewrite match attempts            : 30082
% 463.05/59.15  # BW rewrite match successes           : 647
% 463.05/59.15  # Condensation attempts                : 0
% 463.05/59.15  # Condensation successes               : 0
% 463.05/59.15  # Termbank termtop insertions          : 74270397
% 463.05/59.15  
% 463.05/59.15  # -------------------------------------------------
% 463.05/59.15  # User time                : 55.176 s
% 463.05/59.15  # System time              : 1.558 s
% 463.05/59.15  # Total time               : 56.734 s
% 463.05/59.15  # Maximum resident set size: 3156 pages
% 463.05/59.15  
% 463.05/59.15  # -------------------------------------------------
% 463.05/59.15  # User time                : 222.893 s
% 463.05/59.15  # System time              : 7.236 s
% 463.05/59.15  # Total time               : 230.129 s
% 463.05/59.15  # Maximum resident set size: 2260 pages
% 463.05/59.15  % E---3.1 exiting
%------------------------------------------------------------------------------