TSTP Solution File: SWV142+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV142+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 19:43:32 EDT 2023

% Result   : Theorem 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :  143 (   2 equ)
%            Maximal formula atoms :   40 (   7 avg)
%            Number of connectives :  172 (  47   ~;  31   |;  53   &)
%                                         (   1 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0012,conjecture,
    ( ( leq(tptp_float_0_001,pv1341)
      & leq(n1,loopcounter)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) )
   => leq(s_best7,n3) ),
    file('/export/starexec/sandbox2/tmp/tmp.1Vfhk1SWOd/E---3.1_9450.p',gauss_array_0012) ).

fof(leq_succ_gt,axiom,
    ! [X1,X2] :
      ( leq(succ(X1),X2)
     => gt(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.1Vfhk1SWOd/E---3.1_9450.p',leq_succ_gt) ).

fof(successor_1,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox2/tmp/tmp.1Vfhk1SWOd/E---3.1_9450.p',successor_1) ).

fof(c_0_3,plain,
    ( epred1_0
  <=> ( leq(tptp_float_0_001,pv1341)
      & leq(n1,loopcounter)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) ) ),
    introduced(definition) ).

fof(c_0_4,plain,
    ( epred1_0
   => ( leq(tptp_float_0_001,pv1341)
      & leq(n1,loopcounter)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_3]) ).

fof(c_0_5,negated_conjecture,
    ~ ( epred1_0
     => leq(s_best7,n3) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_array_0012])]),c_0_3]) ).

fof(c_0_6,plain,
    ( ( leq(tptp_float_0_001,pv1341)
      | ~ epred1_0 )
    & ( leq(n1,loopcounter)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_sworst7)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_worst7)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_sworst7,n3)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_best7)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(s_sworst7,n3)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(s_worst7,n3)
      | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_7,negated_conjecture,
    ( epred1_0
    & ~ leq(s_best7,n3) ),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( leq(s_best7,n3)
    | ~ gt(loopcounter,n0)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ~ leq(s_best7,n3),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X42,X43] :
      ( ~ leq(succ(X42),X43)
      | gt(X43,X42) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).

cnf(c_0_12,plain,
    ( leq(n1,loopcounter)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,plain,
    ~ gt(loopcounter,n0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),c_0_10]) ).

cnf(c_0_14,plain,
    ( gt(X2,X1)
    | ~ leq(succ(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[successor_1]) ).

cnf(c_0_16,plain,
    leq(n1,loopcounter),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_9])]) ).

cnf(c_0_17,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem    : SWV142+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n024.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Oct  3 03:04:27 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order theorem proving
% 0.15/0.42  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.1Vfhk1SWOd/E---3.1_9450.p
% 0.15/0.43  # Version: 3.1pre001
% 0.15/0.43  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # sh5l with pid 9563 completed with status 0
% 0.15/0.43  # Result found by sh5l
% 0.15/0.43  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.43  # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.15/0.43  # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.15/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.15/0.43  # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 9566 completed with status 0
% 0.15/0.43  # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.15/0.43  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.43  # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.15/0.43  # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.15/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.001 s
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Theorem
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 85
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 27
% 0.15/0.43  # Initial clauses                      : 75
% 0.15/0.43  # Removed in clause preprocessing      : 0
% 0.15/0.43  # Initial clauses in saturation        : 75
% 0.15/0.43  # Processed clauses                    : 48
% 0.15/0.43  # ...of these trivial                  : 5
% 0.15/0.43  # ...subsumed                          : 5
% 0.15/0.43  # ...remaining for further processing  : 38
% 0.15/0.43  # Other redundant clauses eliminated   : 0
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 0
% 0.15/0.43  # Backward-rewritten                   : 0
% 0.15/0.43  # Generated clauses                    : 35
% 0.15/0.43  # ...of the previous two non-redundant : 26
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 0
% 0.15/0.43  # Paramodulations                      : 35
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 0
% 0.15/0.43  # Total rewrite steps                  : 28
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 38
% 0.15/0.43  #    Positive orientable unit clauses  : 32
% 0.15/0.43  #    Positive unorientable unit clauses: 0
% 0.15/0.43  #    Negative unit clauses             : 3
% 0.15/0.43  #    Non-unit-clauses                  : 3
% 0.15/0.43  # Current number of unprocessed clauses: 53
% 0.15/0.43  # ...number of literals in the above   : 98
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 0
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 1
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 1
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.43  # Unit Clause-clause subsumption calls : 0
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 2
% 0.15/0.43  # BW rewrite match successes           : 0
% 0.15/0.43  # Condensation attempts                : 0
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 3734
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.005 s
% 0.15/0.43  # System time              : 0.001 s
% 0.15/0.43  # Total time               : 0.006 s
% 0.15/0.43  # Maximum resident set size: 2084 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.008 s
% 0.15/0.43  # System time              : 0.003 s
% 0.15/0.43  # Total time               : 0.011 s
% 0.15/0.43  # Maximum resident set size: 1792 pages
% 0.15/0.43  % E---3.1 exiting
% 0.15/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------