TSTP Solution File: SCT136+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SCT136+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 02:45:51 EDT 2024

% Result   : ContradictoryAxioms 26.58s 4.04s
% Output   : CNFRefutation 26.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   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    :    4 (   4 usr;   0 con; 1-3 aty)
%            Number of variables   :   60 (  25 sgn  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_not__Cons__self,axiom,
    ! [X27,X5,X28] : X28 != hAPP(hAPP(c_List_Olist_OCons(X5),X27),X28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__Cons__self) ).

fof(help_c__COMBS__1,axiom,
    ! [X11,X104,X24,X5,X47,X29] : hAPP(hAPP(hAPP(c_COMBS(X29,X47,X5),X24),X104),X11) = hAPP(hAPP(X24,X11),hAPP(X104,X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).

fof(help_c__COMBI__1,axiom,
    ! [X115,X5] : hAPP(c_COMBI(X5),X115) = X115,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBI__1) ).

fof(c_0_3,plain,
    ! [X27,X5,X28] : X28 != hAPP(hAPP(c_List_Olist_OCons(X5),X27),X28),
    inference(fof_simplification,[status(thm)],[fact_not__Cons__self]) ).

fof(c_0_4,plain,
    ! [X1010,X1011,X1012] : X1012 != hAPP(hAPP(c_List_Olist_OCons(X1011),X1010),X1012),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])]) ).

fof(c_0_5,plain,
    ! [X1265,X1266,X1267,X1268,X1269,X1270] : hAPP(hAPP(hAPP(c_COMBS(X1270,X1269,X1268),X1267),X1266),X1265) = hAPP(hAPP(X1267,X1265),hAPP(X1266,X1265)),
    inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).

cnf(c_0_6,plain,
    X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,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_8,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),c_List_Olist_OCons(X4)),X5),X6) != hAPP(X5,X6),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

fof(c_0_9,plain,
    ! [X1589,X1590] : hAPP(c_COMBI(X1590),X1589) = X1589,
    inference(variable_rename,[status(thm)],[help_c__COMBI__1]) ).

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

cnf(c_0_11,plain,
    hAPP(c_COMBI(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),c_COMBI(X8)),X9) != hAPP(X9,X9),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,plain,
    $false,
    inference(er,[status(thm)],[c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem    : SCT136+1 : TPTP v8.2.0. Released v5.2.0.
% 0.09/0.17  % Command    : run_E %s %d THM
% 0.17/0.39  % Computer : n025.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Sun May 19 23:57:23 EDT 2024
% 0.17/0.40  % CPUTime    : 
% 0.25/0.56  Running first-order model finding
% 0.25/0.56  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/benchmark/theBenchmark.p
% 26.58/4.04  # Version: 3.1.0
% 26.58/4.04  # Preprocessing class: FSLMSMSMSSSNFFN.
% 26.58/4.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.58/4.04  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 26.58/4.04  # Starting new_bool_3 with 600s (2) cores
% 26.58/4.04  # Starting new_bool_1 with 300s (1) cores
% 26.58/4.04  # Starting sh5l with 300s (1) cores
% 26.58/4.04  # sh5l with pid 16296 completed with status 0
% 26.58/4.04  # Result found by sh5l
% 26.58/4.04  # Preprocessing class: FSLMSMSMSSSNFFN.
% 26.58/4.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.58/4.04  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 26.58/4.04  # Starting new_bool_3 with 600s (2) cores
% 26.58/4.04  # Starting new_bool_1 with 300s (1) cores
% 26.58/4.04  # Starting sh5l with 300s (1) cores
% 26.58/4.04  # SinE strategy is gf500_gu_R04_F100_L20000
% 26.58/4.04  # Search class: FGHSM-FSLM33-DFFFFFNN
% 26.58/4.04  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 26.58/4.04  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 55s (1) cores
% 26.58/4.04  # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with pid 16304 completed with status 0
% 26.58/4.04  # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S
% 26.58/4.04  # Preprocessing class: FSLMSMSMSSSNFFN.
% 26.58/4.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.58/4.04  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 26.58/4.04  # Starting new_bool_3 with 600s (2) cores
% 26.58/4.04  # Starting new_bool_1 with 300s (1) cores
% 26.58/4.04  # Starting sh5l with 300s (1) cores
% 26.58/4.04  # SinE strategy is gf500_gu_R04_F100_L20000
% 26.58/4.04  # Search class: FGHSM-FSLM33-DFFFFFNN
% 26.58/4.04  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 26.58/4.04  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 55s (1) cores
% 26.58/4.04  # Preprocessing time       : 0.016 s
% 26.58/4.04  # Presaturation interreduction done
% 26.58/4.04  
% 26.58/4.04  # Proof found!
% 26.58/4.04  # SZS status ContradictoryAxioms
% 26.58/4.04  # SZS output start CNFRefutation
% See solution above
% 26.58/4.04  # Parsed axioms                        : 523
% 26.58/4.04  # Removed by relevancy pruning/SinE    : 34
% 26.58/4.04  # Initial clauses                      : 754
% 26.58/4.04  # Removed in clause preprocessing      : 38
% 26.58/4.04  # Initial clauses in saturation        : 716
% 26.58/4.04  # Processed clauses                    : 3640
% 26.58/4.04  # ...of these trivial                  : 251
% 26.58/4.04  # ...subsumed                          : 781
% 26.58/4.04  # ...remaining for further processing  : 2608
% 26.58/4.04  # Other redundant clauses eliminated   : 86
% 26.58/4.04  # Clauses deleted for lack of memory   : 0
% 26.58/4.04  # Backward-subsumed                    : 17
% 26.58/4.04  # Backward-rewritten                   : 56
% 26.58/4.04  # Generated clauses                    : 155606
% 26.58/4.04  # ...of the previous two non-redundant : 153159
% 26.58/4.04  # ...aggressively subsumed             : 0
% 26.58/4.04  # Contextual simplify-reflections      : 3
% 26.58/4.04  # Paramodulations                      : 155393
% 26.58/4.04  # Factorizations                       : 6
% 26.58/4.04  # NegExts                              : 0
% 26.58/4.04  # Equation resolutions                 : 209
% 26.58/4.04  # Disequality decompositions           : 0
% 26.58/4.04  # Total rewrite steps                  : 4731
% 26.58/4.04  # ...of those cached                   : 3495
% 26.58/4.04  # Propositional unsat checks           : 0
% 26.58/4.04  #    Propositional check models        : 0
% 26.58/4.04  #    Propositional check unsatisfiable : 0
% 26.58/4.04  #    Propositional clauses             : 0
% 26.58/4.04  #    Propositional clauses after purity: 0
% 26.58/4.04  #    Propositional unsat core size     : 0
% 26.58/4.04  #    Propositional preprocessing time  : 0.000
% 26.58/4.04  #    Propositional encoding time       : 0.000
% 26.58/4.04  #    Propositional solver time         : 0.000
% 26.58/4.04  #    Success case prop preproc time    : 0.000
% 26.58/4.04  #    Success case prop encoding time   : 0.000
% 26.58/4.04  #    Success case prop solver time     : 0.000
% 26.58/4.04  # Current number of processed clauses  : 1919
% 26.58/4.04  #    Positive orientable unit clauses  : 643
% 26.58/4.04  #    Positive unorientable unit clauses: 9
% 26.58/4.04  #    Negative unit clauses             : 167
% 26.58/4.04  #    Non-unit-clauses                  : 1100
% 26.58/4.04  # Current number of unprocessed clauses: 149719
% 26.58/4.04  # ...number of literals in the above   : 195048
% 26.58/4.04  # Current number of archived formulas  : 0
% 26.58/4.04  # Current number of archived clauses   : 638
% 26.58/4.04  # Clause-clause subsumption calls (NU) : 230014
% 26.58/4.04  # Rec. Clause-clause subsumption calls : 131058
% 26.58/4.04  # Non-unit clause-clause subsumptions  : 379
% 26.58/4.04  # Unit Clause-clause subsumption calls : 106683
% 26.58/4.04  # Rewrite failures with RHS unbound    : 191
% 26.58/4.04  # BW rewrite match attempts            : 83153
% 26.58/4.04  # BW rewrite match successes           : 104
% 26.58/4.04  # Condensation attempts                : 0
% 26.58/4.04  # Condensation successes               : 0
% 26.58/4.04  # Termbank termtop insertions          : 4371274
% 26.58/4.04  # Search garbage collected termcells   : 12483
% 26.58/4.04  
% 26.58/4.04  # -------------------------------------------------
% 26.58/4.04  # User time                : 3.131 s
% 26.58/4.04  # System time              : 0.131 s
% 26.58/4.04  # Total time               : 3.262 s
% 26.58/4.04  # Maximum resident set size: 6048 pages
% 26.58/4.04  
% 26.58/4.04  # -------------------------------------------------
% 26.58/4.04  # User time                : 3.159 s
% 26.58/4.04  # System time              : 0.135 s
% 26.58/4.04  # Total time               : 3.294 s
% 26.58/4.04  # Maximum resident set size: 2564 pages
% 26.58/4.04  % E---3.1 exiting
%------------------------------------------------------------------------------