TSTP Solution File: CSR084+7 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR084+7 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 19:18:17 EDT 2024

% Result   : Theorem 4.16s 3.68s
% Output   : CNFRefutation 4.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   69 (  15 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :   86 (  31   ~;  36   |;  16   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   31 (   8 sgn  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_ALL,conjecture,
    ? [X2348] : s__instance(X2348,s__Invertebrate),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).

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/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_27371,axiom,
    ! [X857] : s__instance(X857,s__Entity),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_27371) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X2348] : s__instance(X2348,s__Invertebrate),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

fof(c_0_4,negated_conjecture,
    ! [X2349] : ~ s__instance(X2349,s__Invertebrate),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,plain,
    ! [X2456,X2457,X2458,X2459,X2460,X2461,X2462,X2463,X2464] :
      ( ( s__instance(X2459,X2457)
        | ~ s__instance(X2459,X2458)
        | ~ s__instance(X2460,X2456)
        | ~ s__instance(X2461,X2457)
        | ~ s__instance(X2458,s__SetOrClass)
        | ~ s__instance(X2457,s__SetOrClass)
        | ~ s__instance(X2456,s__SetOrClass)
        | X2457 != s__UnionFn(X2458,X2456) )
      & ( s__instance(X2460,X2457)
        | ~ s__instance(X2459,X2458)
        | ~ s__instance(X2460,X2456)
        | ~ s__instance(X2461,X2457)
        | ~ s__instance(X2458,s__SetOrClass)
        | ~ s__instance(X2457,s__SetOrClass)
        | ~ s__instance(X2456,s__SetOrClass)
        | X2457 != s__UnionFn(X2458,X2456) )
      & ( s__instance(X2461,X2458)
        | s__instance(X2461,X2456)
        | ~ s__instance(X2459,X2458)
        | ~ s__instance(X2460,X2456)
        | ~ s__instance(X2461,X2457)
        | ~ s__instance(X2458,s__SetOrClass)
        | ~ s__instance(X2457,s__SetOrClass)
        | ~ s__instance(X2456,s__SetOrClass)
        | X2457 != s__UnionFn(X2458,X2456) )
      & ( s__instance(X2464,s__SetOrClass)
        | X2463 = s__UnionFn(X2464,X2462) )
      & ( s__instance(X2463,s__SetOrClass)
        | X2463 = s__UnionFn(X2464,X2462) )
      & ( s__instance(X2462,s__SetOrClass)
        | X2463 = s__UnionFn(X2464,X2462) )
      & ( s__instance(esk9_3(X2462,X2463,X2464),X2464)
        | X2463 = s__UnionFn(X2464,X2462) )
      & ( s__instance(esk10_3(X2462,X2463,X2464),X2462)
        | X2463 = s__UnionFn(X2464,X2462) )
      & ( s__instance(esk11_3(X2462,X2463,X2464),X2463)
        | X2463 = s__UnionFn(X2464,X2462) )
      & ( ~ s__instance(esk11_3(X2462,X2463,X2464),X2464)
        | ~ s__instance(esk9_3(X2462,X2463,X2464),X2463)
        | ~ s__instance(esk10_3(X2462,X2463,X2464),X2463)
        | X2463 = s__UnionFn(X2464,X2462) )
      & ( ~ s__instance(esk11_3(X2462,X2463,X2464),X2462)
        | ~ s__instance(esk9_3(X2462,X2463,X2464),X2463)
        | ~ s__instance(esk10_3(X2462,X2463,X2464),X2463)
        | X2463 = s__UnionFn(X2464,X2462) ) ),
    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_6,negated_conjecture,
    ~ s__instance(X1,s__Invertebrate),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( s__instance(esk9_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    X1 = s__UnionFn(s__Invertebrate,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

fof(c_0_9,plain,
    ! [X2473] : s__instance(X2473,s__Entity),
    inference(variable_rename,[status(thm)],[kb_SUMO_27371]) ).

cnf(c_0_10,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_8]) ).

cnf(c_0_11,plain,
    s__instance(X1,s__Entity),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_13,plain,
    $false,
    inference(sr,[status(thm)],[c_0_11,c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : CSR084+7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun May 19 02:19:37 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  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
% 4.16/3.68  # Version: 3.1.0
% 4.16/3.68  # Preprocessing class: FMLLSMSLSSSNFFN.
% 4.16/3.68  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 4.16/3.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1490s (5) cores
% 4.16/3.68  # Starting new_bool_3 with 298s (1) cores
% 4.16/3.68  # Starting new_bool_1 with 298s (1) cores
% 4.16/3.68  # Starting sh5l with 298s (1) cores
% 4.16/3.68  # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 10724 completed with status 0
% 4.16/3.68  # Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 4.16/3.68  # Preprocessing class: FMLLSMSLSSSNFFN.
% 4.16/3.68  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 4.16/3.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1490s (5) cores
% 4.16/3.68  # SinE strategy is gf200_h_gu_R03_F100_L20000
% 4.16/3.68  # Search class: FGHSS-FSLM31-MFFFFFNN
% 4.16/3.68  # partial match(1): FGHSM-FSLM31-MFFFFFNN
% 4.16/3.68  # Scheduled 7 strats onto 5 cores with 1490 seconds (1490 total)
% 4.16/3.68  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 671s (1) cores
% 4.16/3.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 150s (1) cores
% 4.16/3.68  # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 135s (1) cores
% 4.16/3.68  # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 4.16/3.68  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 135s (1) cores
% 4.16/3.68  # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 10731 completed with status 0
% 4.16/3.68  # Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 4.16/3.68  # Preprocessing class: FMLLSMSLSSSNFFN.
% 4.16/3.68  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 4.16/3.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1490s (5) cores
% 4.16/3.68  # SinE strategy is gf200_h_gu_R03_F100_L20000
% 4.16/3.68  # Search class: FGHSS-FSLM31-MFFFFFNN
% 4.16/3.68  # partial match(1): FGHSM-FSLM31-MFFFFFNN
% 4.16/3.68  # Scheduled 7 strats onto 5 cores with 1490 seconds (1490 total)
% 4.16/3.68  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 671s (1) cores
% 4.16/3.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 150s (1) cores
% 4.16/3.68  # Preprocessing time       : 0.027 s
% 4.16/3.68  # Presaturation interreduction done
% 4.16/3.68  
% 4.16/3.68  # Proof found!
% 4.16/3.68  # SZS status Theorem
% 4.16/3.68  # SZS output start CNFRefutation
% See solution above
% 4.16/3.68  # Parsed axioms                        : 55594
% 4.16/3.68  # Removed by relevancy pruning/SinE    : 55406
% 4.16/3.68  # Initial clauses                      : 259
% 4.16/3.68  # Removed in clause preprocessing      : 10
% 4.16/3.68  # Initial clauses in saturation        : 249
% 4.16/3.68  # Processed clauses                    : 455
% 4.16/3.68  # ...of these trivial                  : 9
% 4.16/3.68  # ...subsumed                          : 1
% 4.16/3.68  # ...remaining for further processing  : 445
% 4.16/3.68  # Other redundant clauses eliminated   : 0
% 4.16/3.68  # Clauses deleted for lack of memory   : 0
% 4.16/3.68  # Backward-subsumed                    : 73
% 4.16/3.68  # Backward-rewritten                   : 14
% 4.16/3.68  # Generated clauses                    : 1579
% 4.16/3.68  # ...of the previous two non-redundant : 1282
% 4.16/3.68  # ...aggressively subsumed             : 0
% 4.16/3.68  # Contextual simplify-reflections      : 22
% 4.16/3.68  # Paramodulations                      : 1572
% 4.16/3.68  # Factorizations                       : 0
% 4.16/3.68  # NegExts                              : 0
% 4.16/3.68  # Equation resolutions                 : 0
% 4.16/3.68  # Disequality decompositions           : 0
% 4.16/3.68  # Total rewrite steps                  : 317
% 4.16/3.68  # ...of those cached                   : 191
% 4.16/3.68  # Propositional unsat checks           : 0
% 4.16/3.68  #    Propositional check models        : 0
% 4.16/3.68  #    Propositional check unsatisfiable : 0
% 4.16/3.68  #    Propositional clauses             : 0
% 4.16/3.68  #    Propositional clauses after purity: 0
% 4.16/3.68  #    Propositional unsat core size     : 0
% 4.16/3.68  #    Propositional preprocessing time  : 0.000
% 4.16/3.68  #    Propositional encoding time       : 0.000
% 4.16/3.68  #    Propositional solver time         : 0.000
% 4.16/3.68  #    Success case prop preproc time    : 0.000
% 4.16/3.68  #    Success case prop encoding time   : 0.000
% 4.16/3.68  #    Success case prop solver time     : 0.000
% 4.16/3.68  # Current number of processed clauses  : 105
% 4.16/3.68  #    Positive orientable unit clauses  : 102
% 4.16/3.68  #    Positive unorientable unit clauses: 1
% 4.16/3.68  #    Negative unit clauses             : 1
% 4.16/3.68  #    Non-unit-clauses                  : 1
% 4.16/3.68  # Current number of unprocessed clauses: 992
% 4.16/3.68  # ...number of literals in the above   : 1824
% 4.16/3.68  # Current number of archived formulas  : 0
% 4.16/3.68  # Current number of archived clauses   : 340
% 4.16/3.68  # Clause-clause subsumption calls (NU) : 3764
% 4.16/3.68  # Rec. Clause-clause subsumption calls : 716
% 4.16/3.68  # Non-unit clause-clause subsumptions  : 24
% 4.16/3.68  # Unit Clause-clause subsumption calls : 267
% 4.16/3.68  # Rewrite failures with RHS unbound    : 396
% 4.16/3.68  # BW rewrite match attempts            : 1102
% 4.16/3.68  # BW rewrite match successes           : 403
% 4.16/3.68  # Condensation attempts                : 0
% 4.16/3.68  # Condensation successes               : 0
% 4.16/3.68  # Termbank termtop insertions          : 674753
% 4.16/3.68  # Search garbage collected termcells   : 292932
% 4.16/3.68  
% 4.16/3.68  # -------------------------------------------------
% 4.16/3.68  # User time                : 0.456 s
% 4.16/3.68  # System time              : 0.157 s
% 4.16/3.68  # Total time               : 0.614 s
% 4.16/3.68  # Maximum resident set size: 131892 pages
% 4.16/3.68  
% 4.16/3.68  # -------------------------------------------------
% 4.16/3.68  # User time                : 3.343 s
% 4.16/3.68  # System time              : 0.526 s
% 4.16/3.68  # Total time               : 3.870 s
% 4.16/3.68  # Maximum resident set size: 57400 pages
% 4.16/3.68  % E---3.1 exiting
%------------------------------------------------------------------------------