TSTP Solution File: CSR109+7 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR109+7 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 19:14:44 EDT 2024

% Result   : Theorem 3.70s 2.09s
% Output   : CNFRefutation 3.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   85 (  16 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :  100 (  36   ~;  42   |;  18   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   44 (  16 sgn  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_SUMO_MILO,conjecture,
    ? [X2351] : s__instance(X2351,s__Reptile),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(kb_SUMO_32603,axiom,
    ! [X137,X12,X136] :
      ( X12 = s__UnionFn(X136,X137)
    <=> ! [X1138,X34,X1139] :
          ( ( s__instance(X136,s__SetOrClass)
            & s__instance(X12,s__SetOrClass)
            & s__instance(X137,s__SetOrClass) )
         => ( ( s__instance(X1138,X136)
              & s__instance(X34,X137)
              & s__instance(X1139,X12) )
           => ( s__instance(X1138,X12)
              & s__instance(X34,X12)
              & ( s__instance(X1139,X136)
                | s__instance(X1139,X137) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_26635,axiom,
    ! [X1,X15] :
      ( s__subclass(X1,X15)
     => ( s__instance(X1,s__SetOrClass)
        & s__instance(X15,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26635) ).

fof(kb_SUMO_39530,axiom,
    s__subclass(s__Snake,s__Reptile),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_39530) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X2351] : s__instance(X2351,s__Reptile),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

fof(c_0_5,negated_conjecture,
    ! [X2352] : ~ s__instance(X2352,s__Reptile),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_6,plain,
    ! [X2501,X2502,X2503,X2504,X2505,X2506,X2507,X2508,X2509] :
      ( ( s__instance(X2504,X2502)
        | ~ s__instance(X2504,X2503)
        | ~ s__instance(X2505,X2501)
        | ~ s__instance(X2506,X2502)
        | ~ s__instance(X2503,s__SetOrClass)
        | ~ s__instance(X2502,s__SetOrClass)
        | ~ s__instance(X2501,s__SetOrClass)
        | X2502 != s__UnionFn(X2503,X2501) )
      & ( s__instance(X2505,X2502)
        | ~ s__instance(X2504,X2503)
        | ~ s__instance(X2505,X2501)
        | ~ s__instance(X2506,X2502)
        | ~ s__instance(X2503,s__SetOrClass)
        | ~ s__instance(X2502,s__SetOrClass)
        | ~ s__instance(X2501,s__SetOrClass)
        | X2502 != s__UnionFn(X2503,X2501) )
      & ( s__instance(X2506,X2503)
        | s__instance(X2506,X2501)
        | ~ s__instance(X2504,X2503)
        | ~ s__instance(X2505,X2501)
        | ~ s__instance(X2506,X2502)
        | ~ s__instance(X2503,s__SetOrClass)
        | ~ s__instance(X2502,s__SetOrClass)
        | ~ s__instance(X2501,s__SetOrClass)
        | X2502 != s__UnionFn(X2503,X2501) )
      & ( s__instance(X2509,s__SetOrClass)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(X2508,s__SetOrClass)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(X2507,s__SetOrClass)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(esk6_3(X2507,X2508,X2509),X2509)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(esk7_3(X2507,X2508,X2509),X2507)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(esk8_3(X2507,X2508,X2509),X2508)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( ~ s__instance(esk8_3(X2507,X2508,X2509),X2509)
        | ~ s__instance(esk6_3(X2507,X2508,X2509),X2508)
        | ~ s__instance(esk7_3(X2507,X2508,X2509),X2508)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( ~ s__instance(esk8_3(X2507,X2508,X2509),X2507)
        | ~ s__instance(esk6_3(X2507,X2508,X2509),X2508)
        | ~ s__instance(esk7_3(X2507,X2508,X2509),X2508)
        | X2508 = s__UnionFn(X2509,X2507) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_32603])])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ s__instance(X1,s__Reptile),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X2420,X2421] :
      ( ( s__instance(X2420,s__SetOrClass)
        | ~ s__subclass(X2420,X2421) )
      & ( s__instance(X2421,s__SetOrClass)
        | ~ s__subclass(X2420,X2421) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])])]) ).

cnf(c_0_10,plain,
    ( s__instance(esk6_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(X2,s__UnionFn(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    s__subclass(s__Snake,s__Reptile),
    inference(split_conjunct,[status(thm)],[kb_SUMO_39530]) ).

cnf(c_0_14,negated_conjecture,
    X1 = s__UnionFn(s__Reptile,X2),
    inference(spm,[status(thm)],[c_0_7,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(X2,X3) ),
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_16,plain,
    s__instance(s__Snake,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_14,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    s__instance(X1,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_7,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_18,c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : CSR109+7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 01:05:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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/benchmark/theBenchmark.p
% 3.70/2.09  # Version: 3.1.0
% 3.70/2.09  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.70/2.09  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 3.70/2.09  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 3.70/2.09  # Starting new_bool_3 with 299s (1) cores
% 3.70/2.09  # Starting new_bool_1 with 299s (1) cores
% 3.70/2.09  # Starting sh5l with 299s (1) cores
% 3.70/2.09  # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 20961 completed with status 0
% 3.70/2.09  # Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 3.70/2.09  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.70/2.09  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 3.70/2.09  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 3.70/2.09  # SinE strategy is gf200_h_gu_R03_F100_L20000
% 3.70/2.09  # Search class: FGHSS-FSLM32-MFFFFFNN
% 3.70/2.09  # Scheduled 6 strats onto 5 cores with 1495 seconds (1495 total)
% 3.70/2.09  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 808s (1) cores
% 3.70/2.09  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 150s (1) cores
% 3.70/2.09  # Starting new_bool_3 with 135s (1) cores
% 3.70/2.09  # Starting new_bool_1 with 135s (1) cores
% 3.70/2.09  # Starting sh5l with 135s (1) cores
% 3.70/2.09  # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 20968 completed with status 0
% 3.70/2.09  # Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 3.70/2.09  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.70/2.09  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 3.70/2.09  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 3.70/2.09  # SinE strategy is gf200_h_gu_R03_F100_L20000
% 3.70/2.09  # Search class: FGHSS-FSLM32-MFFFFFNN
% 3.70/2.09  # Scheduled 6 strats onto 5 cores with 1495 seconds (1495 total)
% 3.70/2.09  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 808s (1) cores
% 3.70/2.09  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 150s (1) cores
% 3.70/2.09  # Preprocessing time       : 0.016 s
% 3.70/2.09  # Presaturation interreduction done
% 3.70/2.09  
% 3.70/2.09  # Proof found!
% 3.70/2.09  # SZS status Theorem
% 3.70/2.09  # SZS output start CNFRefutation
% See solution above
% 3.70/2.09  # Parsed axioms                        : 55589
% 3.70/2.09  # Removed by relevancy pruning/SinE    : 55441
% 3.70/2.09  # Initial clauses                      : 243
% 3.70/2.09  # Removed in clause preprocessing      : 21
% 3.70/2.09  # Initial clauses in saturation        : 222
% 3.70/2.09  # Processed clauses                    : 444
% 3.70/2.09  # ...of these trivial                  : 25
% 3.70/2.09  # ...subsumed                          : 8
% 3.70/2.09  # ...remaining for further processing  : 411
% 3.70/2.09  # Other redundant clauses eliminated   : 0
% 3.70/2.09  # Clauses deleted for lack of memory   : 0
% 3.70/2.09  # Backward-subsumed                    : 65
% 3.70/2.09  # Backward-rewritten                   : 45
% 3.70/2.09  # Generated clauses                    : 1327
% 3.70/2.09  # ...of the previous two non-redundant : 1054
% 3.70/2.09  # ...aggressively subsumed             : 0
% 3.70/2.09  # Contextual simplify-reflections      : 77
% 3.70/2.09  # Paramodulations                      : 1324
% 3.70/2.09  # Factorizations                       : 0
% 3.70/2.09  # NegExts                              : 0
% 3.70/2.09  # Equation resolutions                 : 0
% 3.70/2.09  # Disequality decompositions           : 0
% 3.70/2.09  # Total rewrite steps                  : 348
% 3.70/2.09  # ...of those cached                   : 198
% 3.70/2.09  # Propositional unsat checks           : 0
% 3.70/2.09  #    Propositional check models        : 0
% 3.70/2.09  #    Propositional check unsatisfiable : 0
% 3.70/2.09  #    Propositional clauses             : 0
% 3.70/2.09  #    Propositional clauses after purity: 0
% 3.70/2.09  #    Propositional unsat core size     : 0
% 3.70/2.09  #    Propositional preprocessing time  : 0.000
% 3.70/2.09  #    Propositional encoding time       : 0.000
% 3.70/2.09  #    Propositional solver time         : 0.000
% 3.70/2.09  #    Success case prop preproc time    : 0.000
% 3.70/2.09  #    Success case prop encoding time   : 0.000
% 3.70/2.09  #    Success case prop solver time     : 0.000
% 3.70/2.09  # Current number of processed clauses  : 77
% 3.70/2.09  #    Positive orientable unit clauses  : 71
% 3.70/2.09  #    Positive unorientable unit clauses: 1
% 3.70/2.09  #    Negative unit clauses             : 1
% 3.70/2.09  #    Non-unit-clauses                  : 4
% 3.70/2.09  # Current number of unprocessed clauses: 871
% 3.70/2.09  # ...number of literals in the above   : 1860
% 3.70/2.09  # Current number of archived formulas  : 0
% 3.70/2.09  # Current number of archived clauses   : 334
% 3.70/2.09  # Clause-clause subsumption calls (NU) : 9068
% 3.70/2.09  # Rec. Clause-clause subsumption calls : 1013
% 3.70/2.09  # Non-unit clause-clause subsumptions  : 84
% 3.70/2.09  # Unit Clause-clause subsumption calls : 421
% 3.70/2.09  # Rewrite failures with RHS unbound    : 382
% 3.70/2.09  # BW rewrite match attempts            : 1000
% 3.70/2.09  # BW rewrite match successes           : 414
% 3.70/2.09  # Condensation attempts                : 0
% 3.70/2.09  # Condensation successes               : 0
% 3.70/2.09  # Termbank termtop insertions          : 678443
% 3.70/2.09  # Search garbage collected termcells   : 294052
% 3.70/2.09  
% 3.70/2.09  # -------------------------------------------------
% 3.70/2.09  # User time                : 0.315 s
% 3.70/2.09  # System time              : 0.120 s
% 3.70/2.09  # Total time               : 0.435 s
% 3.70/2.09  # Maximum resident set size: 131884 pages
% 3.70/2.09  
% 3.70/2.09  # -------------------------------------------------
% 3.70/2.09  # User time                : 1.705 s
% 3.70/2.09  # System time              : 0.227 s
% 3.70/2.09  # Total time               : 1.932 s
% 3.70/2.09  # Maximum resident set size: 57424 pages
% 3.70/2.09  % E---3.1 exiting
% 3.70/2.09  % E exiting
%------------------------------------------------------------------------------