TSTP Solution File: SCT138+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SCT138+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 19:16:50 EDT 2023

% Result   : ContradictoryAxioms 13.22s 2.27s
% Output   : CNFRefutation 13.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   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   :   57 (  25 sgn;  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_not__Cons__self,axiom,
    ! [X33,X5,X32] : X32 != hAPP(hAPP(c_List_Olist_OCons(X5),X33),X32),
    file('/export/starexec/sandbox2/tmp/tmp.75nSQ3PlhE/E---3.1_17811.p',fact_not__Cons__self) ).

fof(help_c__COMBS__1,axiom,
    ! [X12,X99,X20,X5,X87,X14] : hAPP(hAPP(hAPP(c_COMBS(X14,X87,X5),X20),X99),X12) = hAPP(hAPP(X20,X12),hAPP(X99,X12)),
    file('/export/starexec/sandbox2/tmp/tmp.75nSQ3PlhE/E---3.1_17811.p',help_c__COMBS__1) ).

fof(help_c__COMBI__1,axiom,
    ! [X117,X5] : hAPP(c_COMBI(X5),X117) = X117,
    file('/export/starexec/sandbox2/tmp/tmp.75nSQ3PlhE/E---3.1_17811.p',help_c__COMBI__1) ).

fof(c_0_3,plain,
    ! [X270,X271,X272] : X272 != hAPP(hAPP(c_List_Olist_OCons(X271),X270),X272),
    inference(variable_rename,[status(thm)],[fact_not__Cons__self]) ).

fof(c_0_4,plain,
    ! [X1226,X1227,X1228,X1229,X1230,X1231] : hAPP(hAPP(hAPP(c_COMBS(X1231,X1230,X1229),X1228),X1227),X1226) = hAPP(hAPP(X1228,X1226),hAPP(X1227,X1226)),
    inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).

cnf(c_0_5,plain,
    X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X1),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,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_4]) ).

cnf(c_0_7,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_5,c_0_6]) ).

fof(c_0_8,plain,
    ! [X1777,X1778] : hAPP(c_COMBI(X1778),X1777) = X1777,
    inference(variable_rename,[status(thm)],[help_c__COMBI__1]) ).

cnf(c_0_9,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_7,c_0_6]) ).

cnf(c_0_10,plain,
    hAPP(c_COMBI(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,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_9,c_0_10]) ).

cnf(c_0_12,plain,
    $false,
    inference(er,[status(thm)],[c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.17  % Problem    : SCT138+1 : TPTP v8.1.2. Released v5.2.0.
% 0.17/0.18  % Command    : run_E %s %d THM
% 0.17/0.37  % Computer : n008.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit   : 2400
% 0.17/0.37  % WCLimit    : 300
% 0.17/0.37  % DateTime   : Mon Oct  2 11:40:28 EDT 2023
% 0.17/0.37  % CPUTime    : 
% 0.21/0.54  Running first-order theorem proving
% 0.21/0.54  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.75nSQ3PlhE/E---3.1_17811.p
% 13.22/2.27  # Version: 3.1pre001
% 13.22/2.27  # Preprocessing class: FSLSSMSMSSSNFFN.
% 13.22/2.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.22/2.27  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.22/2.27  # Starting new_bool_3 with 300s (1) cores
% 13.22/2.27  # Starting new_bool_1 with 300s (1) cores
% 13.22/2.27  # Starting sh5l with 300s (1) cores
% 13.22/2.27  # sh5l with pid 17948 completed with status 0
% 13.22/2.27  # Result found by sh5l
% 13.22/2.27  # Preprocessing class: FSLSSMSMSSSNFFN.
% 13.22/2.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.22/2.27  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.22/2.27  # Starting new_bool_3 with 300s (1) cores
% 13.22/2.27  # Starting new_bool_1 with 300s (1) cores
% 13.22/2.27  # Starting sh5l with 300s (1) cores
% 13.22/2.27  # SinE strategy is gf500_gu_R04_F100_L20000
% 13.22/2.27  # Search class: FGHSM-FSLM33-DFFFFFNN
% 13.22/2.27  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 13.22/2.27  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 55s (1) cores
% 13.22/2.27  # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with pid 17975 completed with status 0
% 13.22/2.27  # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S
% 13.22/2.27  # Preprocessing class: FSLSSMSMSSSNFFN.
% 13.22/2.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.22/2.27  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.22/2.27  # Starting new_bool_3 with 300s (1) cores
% 13.22/2.27  # Starting new_bool_1 with 300s (1) cores
% 13.22/2.27  # Starting sh5l with 300s (1) cores
% 13.22/2.27  # SinE strategy is gf500_gu_R04_F100_L20000
% 13.22/2.27  # Search class: FGHSM-FSLM33-DFFFFFNN
% 13.22/2.27  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 13.22/2.27  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 55s (1) cores
% 13.22/2.27  # Preprocessing time       : 0.016 s
% 13.22/2.27  # Presaturation interreduction done
% 13.22/2.27  
% 13.22/2.27  # Proof found!
% 13.22/2.27  # SZS status ContradictoryAxioms
% 13.22/2.27  # SZS output start CNFRefutation
% See solution above
% 13.22/2.27  # Parsed axioms                        : 523
% 13.22/2.27  # Removed by relevancy pruning/SinE    : 34
% 13.22/2.27  # Initial clauses                      : 760
% 13.22/2.27  # Removed in clause preprocessing      : 41
% 13.22/2.27  # Initial clauses in saturation        : 719
% 13.22/2.27  # Processed clauses                    : 3695
% 13.22/2.27  # ...of these trivial                  : 233
% 13.22/2.27  # ...subsumed                          : 907
% 13.22/2.27  # ...remaining for further processing  : 2555
% 13.22/2.27  # Other redundant clauses eliminated   : 90
% 13.22/2.27  # Clauses deleted for lack of memory   : 0
% 13.22/2.27  # Backward-subsumed                    : 19
% 13.22/2.27  # Backward-rewritten                   : 56
% 13.22/2.27  # Generated clauses                    : 139757
% 13.22/2.27  # ...of the previous two non-redundant : 137427
% 13.22/2.27  # ...aggressively subsumed             : 0
% 13.22/2.27  # Contextual simplify-reflections      : 3
% 13.22/2.27  # Paramodulations                      : 139563
% 13.22/2.27  # Factorizations                       : 4
% 13.22/2.27  # NegExts                              : 0
% 13.22/2.27  # Equation resolutions                 : 192
% 13.22/2.27  # Total rewrite steps                  : 4375
% 13.22/2.27  # Propositional unsat checks           : 0
% 13.22/2.27  #    Propositional check models        : 0
% 13.22/2.27  #    Propositional check unsatisfiable : 0
% 13.22/2.27  #    Propositional clauses             : 0
% 13.22/2.27  #    Propositional clauses after purity: 0
% 13.22/2.27  #    Propositional unsat core size     : 0
% 13.22/2.27  #    Propositional preprocessing time  : 0.000
% 13.22/2.27  #    Propositional encoding time       : 0.000
% 13.22/2.27  #    Propositional solver time         : 0.000
% 13.22/2.27  #    Success case prop preproc time    : 0.000
% 13.22/2.27  #    Success case prop encoding time   : 0.000
% 13.22/2.27  #    Success case prop solver time     : 0.000
% 13.22/2.27  # Current number of processed clauses  : 1862
% 13.22/2.27  #    Positive orientable unit clauses  : 599
% 13.22/2.27  #    Positive unorientable unit clauses: 11
% 13.22/2.27  #    Negative unit clauses             : 168
% 13.22/2.27  #    Non-unit-clauses                  : 1084
% 13.22/2.27  # Current number of unprocessed clauses: 134070
% 13.22/2.27  # ...number of literals in the above   : 179324
% 13.22/2.27  # Current number of archived formulas  : 0
% 13.22/2.27  # Current number of archived clauses   : 640
% 13.22/2.27  # Clause-clause subsumption calls (NU) : 188848
% 13.22/2.27  # Rec. Clause-clause subsumption calls : 118040
% 13.22/2.27  # Non-unit clause-clause subsumptions  : 482
% 13.22/2.27  # Unit Clause-clause subsumption calls : 80814
% 13.22/2.27  # Rewrite failures with RHS unbound    : 285
% 13.22/2.27  # BW rewrite match attempts            : 92405
% 13.22/2.27  # BW rewrite match successes           : 124
% 13.22/2.27  # Condensation attempts                : 0
% 13.22/2.27  # Condensation successes               : 0
% 13.22/2.27  # Termbank termtop insertions          : 4170057
% 13.22/2.27  
% 13.22/2.27  # -------------------------------------------------
% 13.22/2.27  # User time                : 1.534 s
% 13.22/2.27  # System time              : 0.091 s
% 13.22/2.27  # Total time               : 1.625 s
% 13.22/2.27  # Maximum resident set size: 5876 pages
% 13.22/2.27  
% 13.22/2.27  # -------------------------------------------------
% 13.22/2.27  # User time                : 1.555 s
% 13.22/2.27  # System time              : 0.093 s
% 13.22/2.27  # Total time               : 1.649 s
% 13.22/2.27  # Maximum resident set size: 2560 pages
% 13.22/2.27  % E---3.1 exiting
% 13.22/2.27  % E---3.1 exiting
%------------------------------------------------------------------------------