TSTP Solution File: ALG175+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG175+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 May 20 18:12:16 EDT 2024

% Result   : Theorem 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :  191 ( 190 equ)
%            Maximal formula atoms :   50 (  12 avg)
%            Number of connectives :  210 (  34   ~;   0   |; 176   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (  13 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( op(e0,op(e0,e0)) = e0
      & op(e0,op(e0,e1)) = e1
      & op(e0,op(e0,e2)) = e2
      & op(e0,op(e0,e3)) = e3
      & op(e0,op(e0,e4)) = e4
      & op(e1,op(e1,e0)) = e0
      & op(e1,op(e1,e1)) = e1
      & op(e1,op(e1,e2)) = e2
      & op(e1,op(e1,e3)) = e3
      & op(e1,op(e1,e4)) = e4
      & op(e2,op(e2,e0)) = e0
      & op(e2,op(e2,e1)) = e1
      & op(e2,op(e2,e2)) = e2
      & op(e2,op(e2,e3)) = e3
      & op(e2,op(e2,e4)) = e4
      & op(e3,op(e3,e0)) = e0
      & op(e3,op(e3,e1)) = e1
      & op(e3,op(e3,e2)) = e2
      & op(e3,op(e3,e3)) = e3
      & op(e3,op(e3,e4)) = e4
      & op(e4,op(e4,e0)) = e0
      & op(e4,op(e4,e1)) = e1
      & op(e4,op(e4,e2)) = e2
      & op(e4,op(e4,e3)) = e3
      & op(e4,op(e4,e4)) = e4
      & op(op(e0,e0),e0) = e0
      & op(op(e0,e1),e1) = e0
      & op(op(e0,e2),e2) = e0
      & op(op(e0,e3),e3) = e0
      & op(op(e0,e4),e4) = e0
      & op(op(e1,e0),e0) = e1
      & op(op(e1,e1),e1) = e1
      & op(op(e1,e2),e2) = e1
      & op(op(e1,e3),e3) = e1
      & op(op(e1,e4),e4) = e1
      & op(op(e2,e0),e0) = e2
      & op(op(e2,e1),e1) = e2
      & op(op(e2,e2),e2) = e2
      & op(op(e2,e3),e3) = e2
      & op(op(e2,e4),e4) = e2
      & op(op(e3,e0),e0) = e3
      & op(op(e3,e1),e1) = e3
      & op(op(e3,e2),e2) = e3
      & op(op(e3,e3),e3) = e3
      & op(op(e3,e4),e4) = e3
      & op(op(e4,e0),e0) = e4
      & op(op(e4,e1),e1) = e4
      & op(op(e4,e2),e2) = e4
      & op(op(e4,e3),e3) = e4
      & op(op(e4,e4),e4) = e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(ax6,axiom,
    ( e0 = op(op(e3,e1),e3)
    & e2 = op(e3,op(op(e3,e1),e3))
    & e4 = op(e3,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(c_0_3,negated_conjecture,
    ~ ~ ( op(e0,op(e0,e0)) = e0
        & op(e0,op(e0,e1)) = e1
        & op(e0,op(e0,e2)) = e2
        & op(e0,op(e0,e3)) = e3
        & op(e0,op(e0,e4)) = e4
        & op(e1,op(e1,e0)) = e0
        & op(e1,op(e1,e1)) = e1
        & op(e1,op(e1,e2)) = e2
        & op(e1,op(e1,e3)) = e3
        & op(e1,op(e1,e4)) = e4
        & op(e2,op(e2,e0)) = e0
        & op(e2,op(e2,e1)) = e1
        & op(e2,op(e2,e2)) = e2
        & op(e2,op(e2,e3)) = e3
        & op(e2,op(e2,e4)) = e4
        & op(e3,op(e3,e0)) = e0
        & op(e3,op(e3,e1)) = e1
        & op(e3,op(e3,e2)) = e2
        & op(e3,op(e3,e3)) = e3
        & op(e3,op(e3,e4)) = e4
        & op(e4,op(e4,e0)) = e0
        & op(e4,op(e4,e1)) = e1
        & op(e4,op(e4,e2)) = e2
        & op(e4,op(e4,e3)) = e3
        & op(e4,op(e4,e4)) = e4
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e4),e4) = e0
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e1),e1) = e1
        & op(op(e1,e2),e2) = e1
        & op(op(e1,e3),e3) = e1
        & op(op(e1,e4),e4) = e1
        & op(op(e2,e0),e0) = e2
        & op(op(e2,e1),e1) = e2
        & op(op(e2,e2),e2) = e2
        & op(op(e2,e3),e3) = e2
        & op(op(e2,e4),e4) = e2
        & op(op(e3,e0),e0) = e3
        & op(op(e3,e1),e1) = e3
        & op(op(e3,e2),e2) = e3
        & op(op(e3,e3),e3) = e3
        & op(op(e3,e4),e4) = e3
        & op(op(e4,e0),e0) = e4
        & op(op(e4,e1),e1) = e4
        & op(op(e4,e2),e2) = e4
        & op(op(e4,e3),e3) = e4
        & op(op(e4,e4),e4) = e4 ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_4,negated_conjecture,
    ( op(e0,op(e0,e0)) = e0
    & op(e0,op(e0,e1)) = e1
    & op(e0,op(e0,e2)) = e2
    & op(e0,op(e0,e3)) = e3
    & op(e0,op(e0,e4)) = e4
    & op(e1,op(e1,e0)) = e0
    & op(e1,op(e1,e1)) = e1
    & op(e1,op(e1,e2)) = e2
    & op(e1,op(e1,e3)) = e3
    & op(e1,op(e1,e4)) = e4
    & op(e2,op(e2,e0)) = e0
    & op(e2,op(e2,e1)) = e1
    & op(e2,op(e2,e2)) = e2
    & op(e2,op(e2,e3)) = e3
    & op(e2,op(e2,e4)) = e4
    & op(e3,op(e3,e0)) = e0
    & op(e3,op(e3,e1)) = e1
    & op(e3,op(e3,e2)) = e2
    & op(e3,op(e3,e3)) = e3
    & op(e3,op(e3,e4)) = e4
    & op(e4,op(e4,e0)) = e0
    & op(e4,op(e4,e1)) = e1
    & op(e4,op(e4,e2)) = e2
    & op(e4,op(e4,e3)) = e3
    & op(e4,op(e4,e4)) = e4
    & op(op(e0,e0),e0) = e0
    & op(op(e0,e1),e1) = e0
    & op(op(e0,e2),e2) = e0
    & op(op(e0,e3),e3) = e0
    & op(op(e0,e4),e4) = e0
    & op(op(e1,e0),e0) = e1
    & op(op(e1,e1),e1) = e1
    & op(op(e1,e2),e2) = e1
    & op(op(e1,e3),e3) = e1
    & op(op(e1,e4),e4) = e1
    & op(op(e2,e0),e0) = e2
    & op(op(e2,e1),e1) = e2
    & op(op(e2,e2),e2) = e2
    & op(op(e2,e3),e3) = e2
    & op(op(e2,e4),e4) = e2
    & op(op(e3,e0),e0) = e3
    & op(op(e3,e1),e1) = e3
    & op(op(e3,e2),e2) = e3
    & op(op(e3,e3),e3) = e3
    & op(op(e3,e4),e4) = e3
    & op(op(e4,e0),e0) = e4
    & op(op(e4,e1),e1) = e4
    & op(op(e4,e2),e2) = e4
    & op(op(e4,e3),e3) = e4
    & op(op(e4,e4),e4) = e4 ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

fof(c_0_5,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    inference(fof_simplification,[status(thm)],[ax5]) ).

cnf(c_0_6,negated_conjecture,
    op(op(e3,e1),e1) = e3,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    e4 = op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_8,plain,
    e0 = op(op(e3,e1),e3),
    inference(split_conjunct,[status(thm)],[ax6]) ).

fof(c_0_9,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    op(e4,op(e4,e1)) = e1,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    op(e4,e1) = e3,
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_12,plain,
    op(e4,e3) = e0,
    inference(rw,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_13,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : ALG175+1 : TPTP v8.2.0. Released v2.7.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.15/0.34  % Computer : n019.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Sat May 18 23:26:23 EDT 2024
% 0.15/0.34  % 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/benchmark/theBenchmark.p
% 0.20/0.51  # Version: 3.1.0
% 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  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 31337 completed with status 0
% 0.20/0.51  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 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  # No SInE strategy applied
% 0.20/0.51  # Search class: FGUPF-FSLM22-MFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.51  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.51  # Starting sh5l with 136s (1) cores
% 0.20/0.51  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 31342 completed with status 0
% 0.20/0.51  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 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  # No SInE strategy applied
% 0.20/0.51  # Search class: FGUPF-FSLM22-MFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.003 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                        : 7
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  # Initial clauses                      : 263
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 263
% 0.20/0.51  # Processed clauses                    : 154
% 0.20/0.51  # ...of these trivial                  : 1
% 0.20/0.51  # ...subsumed                          : 0
% 0.20/0.51  # ...remaining for further processing  : 153
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 0
% 0.20/0.51  # Backward-rewritten                   : 24
% 0.20/0.51  # Generated clauses                    : 0
% 0.20/0.51  # ...of the previous two non-redundant : 22
% 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                 : 0
% 0.20/0.51  # Disequality decompositions           : 0
% 0.20/0.51  # Total rewrite steps                  : 49
% 0.20/0.51  # ...of those cached                   : 44
% 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  : 129
% 0.20/0.51  #    Positive orientable unit clauses  : 41
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 88
% 0.20/0.51  #    Non-unit-clauses                  : 0
% 0.20/0.51  # Current number of unprocessed clauses: 124
% 0.20/0.51  # ...number of literals in the above   : 424
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 24
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.51  # Unit Clause-clause subsumption calls : 108
% 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           : 3
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 14451
% 0.20/0.51  # Search garbage collected termcells   : 328
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.008 s
% 0.20/0.51  # System time              : 0.006 s
% 0.20/0.51  # Total time               : 0.014 s
% 0.20/0.51  # Maximum resident set size: 2032 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.031 s
% 0.20/0.51  # System time              : 0.016 s
% 0.20/0.51  # Total time               : 0.047 s
% 0.20/0.51  # Maximum resident set size: 1800 pages
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------