TSTP Solution File: COM125+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Sat May  4 07:30:01 EDT 2024

% Result   : Theorem 0.52s 0.56s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   50 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   53 (  20   ~;  15   |;  12   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :   68 (   4 sgn  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('T-Weak-FreeVar-abs-2',axiom,
    ! [X9,X10,X20,X21,X35,X15] :
      ( ( X9 = X21
        & ~ visFreeVar(X9,vabs(X21,X35,veabs))
        & vtcheck(X20,vabs(X21,X35,veabs),X15) )
     => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    file('/export/starexec/sandbox2/tmp/tmp.A44rkp62Xg/E---3.1_8528.p','T-Weak-FreeVar-abs-2') ).

fof('T-Weak-FreeVar-abs-1',axiom,
    ! [X9,X10,X20,X21,X35,X15] :
      ( ( X9 != X21
        & ~ visFreeVar(X9,vabs(X21,X35,veabs))
        & vtcheck(X20,vabs(X21,X35,veabs),X15) )
     => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    file('/export/starexec/sandbox2/tmp/tmp.A44rkp62Xg/E---3.1_8528.p','T-Weak-FreeVar-abs-1') ).

fof('T-Weak-FreeVar-abs',conjecture,
    ! [X9,X10,X20,X21,X35,X15] :
      ( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
        & vtcheck(X20,vabs(X21,X35,veabs),X15) )
     => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    file('/export/starexec/sandbox2/tmp/tmp.A44rkp62Xg/E---3.1_8528.p','T-Weak-FreeVar-abs') ).

fof(c_0_3,plain,
    ! [X9,X10,X20,X21,X35,X15] :
      ( ( X9 = X21
        & ~ visFreeVar(X9,vabs(X21,X35,veabs))
        & vtcheck(X20,vabs(X21,X35,veabs),X15) )
     => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-2']) ).

fof(c_0_4,plain,
    ! [X9,X10,X20,X21,X35,X15] :
      ( ( X9 != X21
        & ~ visFreeVar(X9,vabs(X21,X35,veabs))
        & vtcheck(X20,vabs(X21,X35,veabs),X15) )
     => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-1']) ).

fof(c_0_5,plain,
    ! [X82,X83,X84,X85,X86,X87] :
      ( X82 != X85
      | visFreeVar(X82,vabs(X85,X86,veabs))
      | ~ vtcheck(X84,vabs(X85,X86,veabs),X87)
      | vtcheck(vbind(X82,X83,X84),vabs(X85,X86,veabs),X87) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_6,plain,
    ! [X76,X77,X78,X79,X80,X81] :
      ( X76 = X79
      | visFreeVar(X76,vabs(X79,X80,veabs))
      | ~ vtcheck(X78,vabs(X79,X80,veabs),X81)
      | vtcheck(vbind(X76,X77,X78),vabs(X79,X80,veabs),X81) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X9,X10,X20,X21,X35,X15] :
        ( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
          & vtcheck(X20,vabs(X21,X35,veabs),X15) )
       => vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs'])]) ).

cnf(c_0_8,plain,
    ( visFreeVar(X1,vabs(X2,X3,veabs))
    | vtcheck(vbind(X1,X6,X4),vabs(X2,X3,veabs),X5)
    | X1 != X2
    | ~ vtcheck(X4,vabs(X2,X3,veabs),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( X1 = X2
    | visFreeVar(X1,vabs(X2,X3,veabs))
    | vtcheck(vbind(X1,X6,X4),vabs(X2,X3,veabs),X5)
    | ~ vtcheck(X4,vabs(X2,X3,veabs),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,negated_conjecture,
    ( ~ visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs))
    & vtcheck(esk3_0,vabs(esk4_0,esk5_0,veabs),esk6_0)
    & ~ vtcheck(vbind(esk1_0,esk2_0,esk3_0),vabs(esk4_0,esk5_0,veabs),esk6_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).

cnf(c_0_11,plain,
    ( vtcheck(vbind(X1,X2,X3),vabs(X4,X5,veabs),X6)
    | visFreeVar(X1,vabs(X4,X5,veabs))
    | ~ vtcheck(X3,vabs(X4,X5,veabs),X6) ),
    inference(csr,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    vtcheck(esk3_0,vabs(esk4_0,esk5_0,veabs),esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ~ vtcheck(vbind(esk1_0,esk2_0,esk3_0),vabs(esk4_0,esk5_0,veabs),esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( vtcheck(vbind(X1,X2,esk3_0),vabs(esk4_0,esk5_0,veabs),esk6_0)
    | visFreeVar(X1,vabs(esk4_0,esk5_0,veabs)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ~ visFreeVar(esk1_0,vabs(esk4_0,esk5_0,veabs)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% 0.14/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:24:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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.A44rkp62Xg/E---3.1_8528.p
% 0.52/0.56  # Version: 3.1.0
% 0.52/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.52/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.52/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.52/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.52/0.56  # Starting sh5l with 300s (1) cores
% 0.52/0.56  # new_bool_1 with pid 8652 completed with status 0
% 0.52/0.56  # Result found by new_bool_1
% 0.52/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.52/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.52/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.52/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.52/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.56  # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.52/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.56  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 181s (1) cores
% 0.52/0.56  # G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with pid 8658 completed with status 0
% 0.52/0.56  # Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 0.52/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.52/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.52/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.52/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.52/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.56  # Search class: FGHSF-FSLF32-MFFFFFNN
% 0.52/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.56  # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 181s (1) cores
% 0.52/0.56  # Preprocessing time       : 0.004 s
% 0.52/0.56  # Presaturation interreduction done
% 0.52/0.56  
% 0.52/0.56  # Proof found!
% 0.52/0.56  # SZS status Theorem
% 0.52/0.56  # SZS output start CNFRefutation
% See solution above
% 0.52/0.56  # Parsed axioms                        : 60
% 0.52/0.56  # Removed by relevancy pruning/SinE    : 25
% 0.52/0.56  # Initial clauses                      : 161
% 0.52/0.56  # Removed in clause preprocessing      : 5
% 0.52/0.56  # Initial clauses in saturation        : 156
% 0.52/0.56  # Processed clauses                    : 320
% 0.52/0.56  # ...of these trivial                  : 2
% 0.52/0.56  # ...subsumed                          : 45
% 0.52/0.56  # ...remaining for further processing  : 273
% 0.52/0.56  # Other redundant clauses eliminated   : 23
% 0.52/0.56  # Clauses deleted for lack of memory   : 0
% 0.52/0.56  # Backward-subsumed                    : 1
% 0.52/0.56  # Backward-rewritten                   : 0
% 0.52/0.56  # Generated clauses                    : 209
% 0.52/0.56  # ...of the previous two non-redundant : 183
% 0.52/0.56  # ...aggressively subsumed             : 0
% 0.52/0.56  # Contextual simplify-reflections      : 1
% 0.52/0.56  # Paramodulations                      : 154
% 0.52/0.56  # Factorizations                       : 0
% 0.52/0.56  # NegExts                              : 0
% 0.52/0.56  # Equation resolutions                 : 64
% 0.52/0.56  # Disequality decompositions           : 0
% 0.52/0.56  # Total rewrite steps                  : 7
% 0.52/0.56  # ...of those cached                   : 1
% 0.52/0.56  # Propositional unsat checks           : 0
% 0.52/0.56  #    Propositional check models        : 0
% 0.52/0.56  #    Propositional check unsatisfiable : 0
% 0.52/0.56  #    Propositional clauses             : 0
% 0.52/0.56  #    Propositional clauses after purity: 0
% 0.52/0.56  #    Propositional unsat core size     : 0
% 0.52/0.56  #    Propositional preprocessing time  : 0.000
% 0.52/0.56  #    Propositional encoding time       : 0.000
% 0.52/0.56  #    Propositional solver time         : 0.000
% 0.52/0.56  #    Success case prop preproc time    : 0.000
% 0.52/0.56  #    Success case prop encoding time   : 0.000
% 0.52/0.56  #    Success case prop solver time     : 0.000
% 0.52/0.56  # Current number of processed clauses  : 143
% 0.52/0.56  #    Positive orientable unit clauses  : 13
% 0.52/0.56  #    Positive unorientable unit clauses: 0
% 0.52/0.56  #    Negative unit clauses             : 10
% 0.52/0.56  #    Non-unit-clauses                  : 120
% 0.52/0.56  # Current number of unprocessed clauses: 133
% 0.52/0.56  # ...number of literals in the above   : 353
% 0.52/0.56  # Current number of archived formulas  : 0
% 0.52/0.56  # Current number of archived clauses   : 116
% 0.52/0.56  # Clause-clause subsumption calls (NU) : 6885
% 0.52/0.56  # Rec. Clause-clause subsumption calls : 2506
% 0.52/0.56  # Non-unit clause-clause subsumptions  : 44
% 0.52/0.56  # Unit Clause-clause subsumption calls : 287
% 0.52/0.56  # Rewrite failures with RHS unbound    : 0
% 0.52/0.56  # BW rewrite match attempts            : 0
% 0.52/0.56  # BW rewrite match successes           : 0
% 0.52/0.56  # Condensation attempts                : 0
% 0.52/0.56  # Condensation successes               : 0
% 0.52/0.56  # Termbank termtop insertions          : 17899
% 0.52/0.56  # Search garbage collected termcells   : 2283
% 0.52/0.56  
% 0.52/0.56  # -------------------------------------------------
% 0.52/0.56  # User time                : 0.031 s
% 0.52/0.56  # System time              : 0.008 s
% 0.52/0.56  # Total time               : 0.039 s
% 0.52/0.56  # Maximum resident set size: 2308 pages
% 0.52/0.56  
% 0.52/0.56  # -------------------------------------------------
% 0.52/0.56  # User time                : 0.034 s
% 0.52/0.56  # System time              : 0.010 s
% 0.52/0.56  # Total time               : 0.044 s
% 0.52/0.56  # Maximum resident set size: 1824 pages
% 0.52/0.56  % E---3.1 exiting
% 0.52/0.56  % E exiting
%------------------------------------------------------------------------------