TSTP Solution File: SWW250+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW250+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 20:10:52 EDT 2023

% Result   : ContradictoryAxioms 1432.23s 183.29s
% Output   : CNFRefutation 1432.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-3 aty)
%            Number of variables   :   70 (  26 sgn;  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(help_c__COMBB__1,axiom,
    ! [X99,X100,X27,X101,X14,X22] : hAPP(hAPP(hAPP(c_COMBB(X22,X14,X101),X27),X100),X99) = hAPP(X27,hAPP(X100,X99)),
    file('/export/starexec/sandbox2/tmp/tmp.ziunuWI0LH/E---3.1_12695.p',help_c__COMBB__1) ).

fof(help_c__COMBS__1,axiom,
    ! [X99,X100,X27,X14,X101,X22] : hAPP(hAPP(hAPP(c_COMBS(X22,X101,X14),X27),X100),X99) = hAPP(hAPP(X27,X99),hAPP(X100,X99)),
    file('/export/starexec/sandbox2/tmp/tmp.ziunuWI0LH/E---3.1_12695.p',help_c__COMBS__1) ).

fof(fact_n__not__Suc__n,axiom,
    ! [X4] : X4 != hAPP(c_Nat_OSuc,X4),
    file('/export/starexec/sandbox2/tmp/tmp.ziunuWI0LH/E---3.1_12695.p',fact_n__not__Suc__n) ).

fof(help_c__COMBI__1,axiom,
    ! [X97,X10] : hAPP(c_COMBI(X10),X97) = X97,
    file('/export/starexec/sandbox2/tmp/tmp.ziunuWI0LH/E---3.1_12695.p',help_c__COMBI__1) ).

fof(c_0_4,plain,
    ! [X3074,X3075,X3076,X3077,X3078,X3079] : hAPP(hAPP(hAPP(c_COMBB(X3079,X3078,X3077),X3076),X3075),X3074) = hAPP(X3076,hAPP(X3075,X3074)),
    inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).

fof(c_0_5,plain,
    ! [X3086,X3087,X3088,X3089,X3090,X3091] : hAPP(hAPP(hAPP(c_COMBS(X3091,X3090,X3089),X3088),X3087),X3086) = hAPP(hAPP(X3088,X3086),hAPP(X3087,X3086)),
    inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).

fof(c_0_6,plain,
    ! [X199] : X199 != hAPP(c_Nat_OSuc,X199),
    inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).

cnf(c_0_7,plain,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    X1 != hAPP(c_Nat_OSuc,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),X7)),X8),X9) = hAPP(X7,hAPP(X9,hAPP(X8,X9))),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

fof(c_0_11,plain,
    ! [X3068,X3069] : hAPP(c_COMBI(X3069),X3068) = X3068,
    inference(variable_rename,[status(thm)],[help_c__COMBI__1]) ).

cnf(c_0_12,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_Nat_OSuc)),X7),X8) != hAPP(X8,hAPP(X7,X8)),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    hAPP(c_COMBI(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_Nat_OSuc)),c_COMBI(X7)),X8) != hAPP(X8,X8),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    $false,
    inference(er,[status(thm)],[c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SWW250+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n004.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Oct  2 22:05:45 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.16/0.57  Running first-order model finding
% 0.16/0.57  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.ziunuWI0LH/E---3.1_12695.p
% 1432.23/183.29  # Version: 3.1pre001
% 1432.23/183.29  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1432.23/183.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1432.23/183.29  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1432.23/183.29  # Starting new_bool_3 with 300s (1) cores
% 1432.23/183.29  # Starting new_bool_1 with 300s (1) cores
% 1432.23/183.29  # Starting sh5l with 300s (1) cores
% 1432.23/183.29  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12778 completed with status 0
% 1432.23/183.29  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1432.23/183.29  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1432.23/183.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1432.23/183.29  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1432.23/183.29  # No SInE strategy applied
% 1432.23/183.29  # Search class: FGHSM-SMLM32-DFFFFFNN
% 1432.23/183.29  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1432.23/183.29  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 1432.23/183.29  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1432.23/183.29  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 1432.23/183.29  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1432.23/183.29  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 1432.23/183.29  # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 12797 completed with status 7
% 1432.23/183.29  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 113s (1) cores
% 1432.23/183.29  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 12795 completed with status 7
% 1432.23/183.29  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 113s (1) cores
% 1432.23/183.29  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 12793 completed with status 7
% 1432.23/183.29  # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1432.23/183.29  # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 12796 completed with status 7
% 1432.23/183.29  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 113s (1) cores
% 1432.23/183.29  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12794 completed with status 7
% 1432.23/183.29  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 113s (1) cores
% 1432.23/183.29  # U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 16000 completed with status 0
% 1432.23/183.29  # Result found by U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 1432.23/183.29  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1432.23/183.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1432.23/183.29  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1432.23/183.29  # No SInE strategy applied
% 1432.23/183.29  # Search class: FGHSM-SMLM32-DFFFFFNN
% 1432.23/183.29  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1432.23/183.29  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 1432.23/183.29  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1432.23/183.29  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 1432.23/183.29  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1432.23/183.29  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 1432.23/183.29  # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 12797 completed with status 7
% 1432.23/183.29  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 113s (1) cores
% 1432.23/183.29  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 12795 completed with status 7
% 1432.23/183.29  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 113s (1) cores
% 1432.23/183.29  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 12793 completed with status 7
% 1432.23/183.29  # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1432.23/183.29  # Preprocessing time       : 0.016 s
% 1432.23/183.29  # Presaturation interreduction done
% 1432.23/183.29  
% 1432.23/183.29  # Proof found!
% 1432.23/183.29  # SZS status ContradictoryAxioms
% 1432.23/183.29  # SZS output start CNFRefutation
% See solution above
% 1432.23/183.29  # Parsed axioms                        : 1215
% 1432.23/183.29  # Removed by relevancy pruning/SinE    : 0
% 1432.23/183.29  # Initial clauses                      : 1687
% 1432.23/183.29  # Removed in clause preprocessing      : 74
% 1432.23/183.29  # Initial clauses in saturation        : 1613
% 1432.23/183.29  # Processed clauses                    : 59643
% 1432.23/183.29  # ...of these trivial                  : 1526
% 1432.23/183.29  # ...subsumed                          : 46924
% 1432.23/183.29  # ...remaining for further processing  : 11193
% 1432.23/183.29  # Other redundant clauses eliminated   : 8822
% 1432.23/183.29  # Clauses deleted for lack of memory   : 60976
% 1432.23/183.29  # Backward-subsumed                    : 555
% 1432.23/183.29  # Backward-rewritten                   : 101
% 1432.23/183.29  # Generated clauses                    : 2077987
% 1432.23/183.29  # ...of the previous two non-redundant : 2009840
% 1432.23/183.29  # ...aggressively subsumed             : 0
% 1432.23/183.29  # Contextual simplify-reflections      : 85
% 1432.23/183.29  # Paramodulations                      : 2069094
% 1432.23/183.29  # Factorizations                       : 36
% 1432.23/183.29  # NegExts                              : 0
% 1432.23/183.29  # Equation resolutions                 : 8872
% 1432.23/183.29  # Total rewrite steps                  : 537834
% 1432.23/183.29  # Propositional unsat checks           : 0
% 1432.23/183.29  #    Propositional check models        : 0
% 1432.23/183.29  #    Propositional check unsatisfiable : 0
% 1432.23/183.29  #    Propositional clauses             : 0
% 1432.23/183.29  #    Propositional clauses after purity: 0
% 1432.23/183.29  #    Propositional unsat core size     : 0
% 1432.23/183.29  #    Propositional preprocessing time  : 0.000
% 1432.23/183.29  #    Propositional encoding time       : 0.000
% 1432.23/183.29  #    Propositional solver time         : 0.000
% 1432.23/183.29  #    Success case prop preproc time    : 0.000
% 1432.23/183.29  #    Success case prop encoding time   : 0.000
% 1432.23/183.29  #    Success case prop solver time     : 0.000
% 1432.23/183.29  # Current number of processed clauses  : 9101
% 1432.23/183.29  #    Positive orientable unit clauses  : 874
% 1432.23/183.29  #    Positive unorientable unit clauses: 156
% 1432.23/183.29  #    Negative unit clauses             : 1480
% 1432.23/183.29  #    Non-unit-clauses                  : 6591
% 1432.23/183.29  # Current number of unprocessed clauses: 1040248
% 1432.23/183.29  # ...number of literals in the above   : 2582683
% 1432.23/183.29  # Current number of archived formulas  : 0
% 1432.23/183.29  # Current number of archived clauses   : 1948
% 1432.23/183.29  # Clause-clause subsumption calls (NU) : 2799108
% 1432.23/183.29  # Rec. Clause-clause subsumption calls : 2055963
% 1432.23/183.29  # Non-unit clause-clause subsumptions  : 18889
% 1432.23/183.29  # Unit Clause-clause subsumption calls : 172914
% 1432.23/183.29  # Rewrite failures with RHS unbound    : 0
% 1432.23/183.29  # BW rewrite match attempts            : 103898
% 1432.23/183.29  # BW rewrite match successes           : 945
% 1432.23/183.29  # Condensation attempts                : 0
% 1432.23/183.29  # Condensation successes               : 0
% 1432.23/183.29  # Termbank termtop insertions          : 64360999
% 1432.23/183.29  
% 1432.23/183.29  # -------------------------------------------------
% 1432.23/183.29  # User time                : 658.346 s
% 1432.23/183.29  # System time              : 11.266 s
% 1432.23/183.29  # Total time               : 669.612 s
% 1432.23/183.29  # Maximum resident set size: 9032 pages
% 1432.23/183.29  
% 1432.23/183.29  # -------------------------------------------------
% 1432.23/183.29  # User time                : 876.713 s
% 1432.23/183.29  # System time              : 16.857 s
% 1432.23/183.29  # Total time               : 893.570 s
% 1432.23/183.29  # Maximum resident set size: 3280 pages
% 1432.23/183.29  % E---3.1 exiting
%------------------------------------------------------------------------------