TSTP Solution File: SWV366+1 by E-SAT---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.2.0
% Problem  : SWV366+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d SAT

% Computer : n001.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 : Mon Jun 24 17:01:16 EDT 2024

% Result   : Theorem 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   45 (   5 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l2_co,conjecture,
    ! [X1] :
      ( ! [X2,X3,X4,X5] : i(triple(X2,X1,X4)) = i(triple(X3,X1,X5))
     => ! [X6,X7,X8,X9,X10,X11] : i(triple(X6,insert_slb(X1,pair(X10,X11)),X8)) = i(triple(X7,insert_slb(X1,pair(X10,X11)),X9)) ),
    file('/export/starexec/sandbox/tmp/tmp.90ycrmXyfG/E---3.1_20438.p',l2_co) ).

fof(ax55,axiom,
    ! [X1,X2,X3,X4,X5] : i(triple(X1,insert_slb(X2,pair(X4,X5)),X3)) = insert_pq(i(triple(X1,X2,X3)),X4),
    file('/export/starexec/sandbox/tmp/tmp.90ycrmXyfG/E---3.1_20438.p',ax55) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1] :
        ( ! [X2,X3,X4,X5] : i(triple(X2,X1,X4)) = i(triple(X3,X1,X5))
       => ! [X6,X7,X8,X9,X10,X11] : i(triple(X6,insert_slb(X1,pair(X10,X11)),X8)) = i(triple(X7,insert_slb(X1,pair(X10,X11)),X9)) ),
    inference(assume_negation,[status(cth)],[l2_co]) ).

fof(c_0_3,negated_conjecture,
    ! [X13,X14,X15,X16] :
      ( i(triple(X13,esk1_0,X15)) = i(triple(X14,esk1_0,X16))
      & i(triple(esk2_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0)) != i(triple(esk3_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk5_0)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

fof(c_0_4,plain,
    ! [X23,X24,X25,X26,X27] : i(triple(X23,insert_slb(X24,pair(X26,X27)),X25)) = insert_pq(i(triple(X23,X24,X25)),X26),
    inference(variable_rename,[status(thm)],[ax55]) ).

cnf(c_0_5,negated_conjecture,
    i(triple(esk2_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0)) != i(triple(esk3_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk5_0)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)) = insert_pq(i(triple(X1,X2,X5)),X3),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    i(triple(X1,esk1_0,X2)) = i(triple(X3,esk1_0,X4)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV366+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.12  % Command    : run_E %s %d SAT
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Jun 20 16:34:39 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.90ycrmXyfG/E---3.1_20438.p
% 0.20/0.51  # Version: 3.2.0
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # new_bool_3 with pid 20596 completed with status 0
% 0.20/0.51  # Result found by new_bool_3
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGUSS-FFSF32-MFFFFFNN
% 0.20/0.51  # partial match(1): FGUSS-FFSF22-MFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 0.20/0.51  # SAT001_MinMin_p005000_rr_RG with pid 20601 completed with status 0
% 0.20/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGUSS-FFSF32-MFFFFFNN
% 0.20/0.51  # partial match(1): FGUSS-FFSF22-MFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 100s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.002 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Theorem
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 63
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 57
% 0.20/0.51  # Initial clauses                      : 11
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 11
% 0.20/0.51  # Processed clauses                    : 13
% 0.20/0.51  # ...of these trivial                  : 0
% 0.20/0.51  # ...subsumed                          : 0
% 0.20/0.51  # ...remaining for further processing  : 13
% 0.20/0.51  # Other redundant clauses eliminated   : 2
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 0
% 0.20/0.51  # Backward-rewritten                   : 1
% 0.20/0.51  # Generated clauses                    : 2
% 0.20/0.51  # ...of the previous two non-redundant : 2
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 0
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 2
% 0.20/0.51  # Disequality decompositions           : 0
% 0.20/0.51  # Total rewrite steps                  : 2
% 0.20/0.51  # ...of those cached                   : 0
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 10
% 0.20/0.51  #    Positive orientable unit clauses  : 3
% 0.20/0.51  #    Positive unorientable unit clauses: 2
% 0.20/0.51  #    Negative unit clauses             : 1
% 0.20/0.51  #    Non-unit-clauses                  : 4
% 0.20/0.51  # Current number of unprocessed clauses: 0
% 0.20/0.51  # ...number of literals in the above   : 0
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 1
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 1
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 1
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.51  # Unit Clause-clause subsumption calls : 0
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 3
% 0.20/0.51  # BW rewrite match successes           : 2
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 1320
% 0.20/0.51  # Search garbage collected termcells   : 562
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.006 s
% 0.20/0.51  # System time              : 0.001 s
% 0.20/0.51  # Total time               : 0.007 s
% 0.20/0.51  # Maximum resident set size: 1912 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.007 s
% 0.20/0.51  # System time              : 0.004 s
% 0.20/0.51  # Total time               : 0.011 s
% 0.20/0.51  # Maximum resident set size: 1756 pages
% 0.20/0.51  % E---3.1 exiting
% 0.20/0.51  % E exiting
%------------------------------------------------------------------------------