TSTP Solution File: SWV377+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 19:44:29 EDT 2023

% Result   : Theorem 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   28 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  14   ~;   2   |;   1   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   43 (   7 sgn;  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l13_co,conjecture,
    ! [X1,X2,X3,X4] :
      ( ~ ok(triple(X1,X2,X3))
     => ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.htqTPXGZk4/E---3.1_29780.p',l13_co) ).

fof(ax41,axiom,
    ! [X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X3))
     => X3 = bad ),
    file('/export/starexec/sandbox/tmp/tmp.htqTPXGZk4/E---3.1_29780.p',ax41) ).

fof(ax40,axiom,
    ! [X1,X2] :
      ( ok(triple(X1,X2,bad))
    <=> ~ $true ),
    file('/export/starexec/sandbox/tmp/tmp.htqTPXGZk4/E---3.1_29780.p',ax40) ).

fof(ax42,axiom,
    ! [X1,X2,X3,X4] : insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
    file('/export/starexec/sandbox/tmp/tmp.htqTPXGZk4/E---3.1_29780.p',ax42) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ~ ok(triple(X1,X2,X3))
       => ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l13_co])]) ).

fof(c_0_5,plain,
    ! [X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X3))
     => X3 = bad ),
    inference(fof_simplification,[status(thm)],[ax41]) ).

fof(c_0_6,negated_conjecture,
    ( ~ ok(triple(esk1_0,esk2_0,esk3_0))
    & ok(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,plain,
    ! [X12,X13,X14] :
      ( ok(triple(X12,X13,X14))
      | X14 = bad ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

fof(c_0_8,plain,
    ! [X1,X2] : ~ ok(triple(X1,X2,bad)),
    inference(fof_simplification,[status(thm)],[ax40]) ).

cnf(c_0_9,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( ok(triple(X1,X2,X3))
    | X3 = bad ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X10,X11] : ~ ok(triple(X10,X11,bad)),
    inference(variable_rename,[status(thm)],[c_0_8]) ).

fof(c_0_12,plain,
    ! [X18,X19,X20,X21] : insert_cpq(triple(X18,X19,X20),X21) = triple(insert_pqp(X18,X21),insert_slb(X19,pair(X21,bottom)),X20),
    inference(variable_rename,[status(thm)],[ax42]) ).

cnf(c_0_13,negated_conjecture,
    ok(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    esk3_0 = bad,
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,plain,
    ~ ok(triple(X1,X2,bad)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ok(insert_cpq(triple(esk1_0,esk2_0,bad),esk4_0)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    ~ ok(insert_cpq(triple(X1,X2,bad),X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_17,c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n026.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 03:22:59 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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/tmp/tmp.htqTPXGZk4/E---3.1_29780.p
% 0.15/0.42  # Version: 3.1pre001
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # sh5l with pid 29862 completed with status 0
% 0.15/0.42  # Result found by sh5l
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.42  # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.15/0.42  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 29865 completed with status 0
% 0.15/0.42  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.42  # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Theorem
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 42
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 5
% 0.15/0.42  # Initial clauses                      : 43
% 0.15/0.42  # Removed in clause preprocessing      : 0
% 0.15/0.42  # Initial clauses in saturation        : 43
% 0.15/0.42  # Processed clauses                    : 85
% 0.15/0.42  # ...of these trivial                  : 0
% 0.15/0.42  # ...subsumed                          : 3
% 0.15/0.42  # ...remaining for further processing  : 82
% 0.15/0.42  # Other redundant clauses eliminated   : 1
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 0
% 0.15/0.42  # Backward-rewritten                   : 0
% 0.15/0.42  # Generated clauses                    : 36
% 0.15/0.42  # ...of the previous two non-redundant : 22
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 2
% 0.15/0.42  # Paramodulations                      : 30
% 0.15/0.42  # Factorizations                       : 4
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 1
% 0.15/0.42  # Total rewrite steps                  : 13
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 37
% 0.15/0.42  #    Positive orientable unit clauses  : 16
% 0.15/0.42  #    Positive unorientable unit clauses: 0
% 0.15/0.42  #    Negative unit clauses             : 4
% 0.15/0.42  #    Non-unit-clauses                  : 17
% 0.15/0.42  # Current number of unprocessed clauses: 23
% 0.15/0.42  # ...number of literals in the above   : 58
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 44
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 110
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 75
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 4
% 0.15/0.42  # Unit Clause-clause subsumption calls : 9
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 4
% 0.15/0.42  # BW rewrite match successes           : 0
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 3352
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.005 s
% 0.15/0.42  # System time              : 0.003 s
% 0.15/0.42  # Total time               : 0.009 s
% 0.15/0.42  # Maximum resident set size: 1884 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.007 s
% 0.15/0.42  # System time              : 0.005 s
% 0.15/0.42  # Total time               : 0.012 s
% 0.15/0.42  # Maximum resident set size: 1724 pages
% 0.15/0.42  % E---3.1 exiting
% 0.15/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------