TSTP Solution File: CSR100+7 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR100+7 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 19:18:34 EDT 2024

% Result   : Theorem 11.73s 3.55s
% Output   : CNFRefutation 11.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  10 unt;   0 def)
%            Number of atoms       :   68 (  15 equ)
%            Maximal formula atoms :   45 (   5 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   :   28 (   7 sgn  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_ALL,conjecture,
    ? [X2341] : s__instance(X2341,s__Class31_1),
    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(local_1,axiom,
    s__instance(s__Class31_1,s__Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X2341] : s__instance(X2341,s__Class31_1),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

fof(c_0_4,negated_conjecture,
    ! [X2342] : ~ s__instance(X2342,s__Class31_1),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,plain,
    ! [X2367,X2368,X2369,X2370,X2371,X2372,X2373,X2374,X2375] :
      ( ( s__instance(X2370,X2368)
        | ~ s__instance(X2370,X2369)
        | ~ s__instance(X2371,X2367)
        | ~ s__instance(X2372,X2368)
        | ~ s__instance(X2369,s__SetOrClass)
        | ~ s__instance(X2368,s__SetOrClass)
        | ~ s__instance(X2367,s__SetOrClass)
        | X2368 != s__UnionFn(X2369,X2367) )
      & ( s__instance(X2371,X2368)
        | ~ s__instance(X2370,X2369)
        | ~ s__instance(X2371,X2367)
        | ~ s__instance(X2372,X2368)
        | ~ s__instance(X2369,s__SetOrClass)
        | ~ s__instance(X2368,s__SetOrClass)
        | ~ s__instance(X2367,s__SetOrClass)
        | X2368 != s__UnionFn(X2369,X2367) )
      & ( s__instance(X2372,X2369)
        | s__instance(X2372,X2367)
        | ~ s__instance(X2370,X2369)
        | ~ s__instance(X2371,X2367)
        | ~ s__instance(X2372,X2368)
        | ~ s__instance(X2369,s__SetOrClass)
        | ~ s__instance(X2368,s__SetOrClass)
        | ~ s__instance(X2367,s__SetOrClass)
        | X2368 != s__UnionFn(X2369,X2367) )
      & ( s__instance(X2375,s__SetOrClass)
        | X2374 = s__UnionFn(X2375,X2373) )
      & ( s__instance(X2374,s__SetOrClass)
        | X2374 = s__UnionFn(X2375,X2373) )
      & ( s__instance(X2373,s__SetOrClass)
        | X2374 = s__UnionFn(X2375,X2373) )
      & ( s__instance(esk1_3(X2373,X2374,X2375),X2375)
        | X2374 = s__UnionFn(X2375,X2373) )
      & ( s__instance(esk2_3(X2373,X2374,X2375),X2373)
        | X2374 = s__UnionFn(X2375,X2373) )
      & ( s__instance(esk3_3(X2373,X2374,X2375),X2374)
        | X2374 = s__UnionFn(X2375,X2373) )
      & ( ~ s__instance(esk3_3(X2373,X2374,X2375),X2375)
        | ~ s__instance(esk1_3(X2373,X2374,X2375),X2374)
        | ~ s__instance(esk2_3(X2373,X2374,X2375),X2374)
        | X2374 = s__UnionFn(X2375,X2373) )
      & ( ~ s__instance(esk3_3(X2373,X2374,X2375),X2373)
        | ~ s__instance(esk1_3(X2373,X2374,X2375),X2374)
        | ~ s__instance(esk2_3(X2373,X2374,X2375),X2374)
        | X2374 = s__UnionFn(X2375,X2373) ) ),
    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__Class31_1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( s__instance(esk1_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__Class31_1,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_8]) ).

cnf(c_0_10,plain,
    s__instance(s__Class31_1,s__Class),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_11,negated_conjecture,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_9]) ).

cnf(c_0_12,plain,
    $false,
    inference(sr,[status(thm)],[c_0_10,c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : CSR100+7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 02:26:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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
% 11.73/3.55  # Version: 3.1.0
% 11.73/3.55  # Preprocessing class: FMLLSMSLSSSNFFN.
% 11.73/3.55  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.73/3.55  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 11.73/3.55  # Starting new_bool_3 with 299s (1) cores
% 11.73/3.55  # Starting new_bool_1 with 299s (1) cores
% 11.73/3.55  # Starting sh5l with 299s (1) cores
% 11.73/3.55  # sh5l with pid 4782 completed with status 0
% 11.73/3.55  # Result found by sh5l
% 11.73/3.55  # Preprocessing class: FMLLSMSLSSSNFFN.
% 11.73/3.55  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.73/3.55  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 11.73/3.55  # Starting new_bool_3 with 299s (1) cores
% 11.73/3.55  # Starting new_bool_1 with 299s (1) cores
% 11.73/3.55  # Starting sh5l with 299s (1) cores
% 11.73/3.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 11.73/3.55  # Search class: FGHSM-SMLM33-MFFFFFNN
% 11.73/3.55  # partial match(1): FGHSM-SMLM32-MFFFFFNN
% 11.73/3.55  # Scheduled 13 strats onto 1 cores with 299 seconds (299 total)
% 11.73/3.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 11.73/3.55  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 4826 completed with status 0
% 11.73/3.55  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 11.73/3.55  # Preprocessing class: FMLLSMSLSSSNFFN.
% 11.73/3.55  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.73/3.55  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 11.73/3.55  # Starting new_bool_3 with 299s (1) cores
% 11.73/3.55  # Starting new_bool_1 with 299s (1) cores
% 11.73/3.55  # Starting sh5l with 299s (1) cores
% 11.73/3.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 11.73/3.55  # Search class: FGHSM-SMLM33-MFFFFFNN
% 11.73/3.55  # partial match(1): FGHSM-SMLM32-MFFFFFNN
% 11.73/3.55  # Scheduled 13 strats onto 1 cores with 299 seconds (299 total)
% 11.73/3.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 11.73/3.55  # Preprocessing time       : 0.052 s
% 11.73/3.55  # Presaturation interreduction done
% 11.73/3.55  
% 11.73/3.55  # Proof found!
% 11.73/3.55  # SZS status Theorem
% 11.73/3.55  # SZS output start CNFRefutation
% See solution above
% 11.73/3.55  # Parsed axioms                        : 55597
% 11.73/3.55  # Removed by relevancy pruning/SinE    : 54398
% 11.73/3.55  # Initial clauses                      : 1856
% 11.73/3.55  # Removed in clause preprocessing      : 143
% 11.73/3.55  # Initial clauses in saturation        : 1713
% 11.73/3.55  # Processed clauses                    : 5654
% 11.73/3.55  # ...of these trivial                  : 130
% 11.73/3.55  # ...subsumed                          : 15
% 11.73/3.55  # ...remaining for further processing  : 5509
% 11.73/3.55  # Other redundant clauses eliminated   : 287
% 11.73/3.55  # Clauses deleted for lack of memory   : 0
% 11.73/3.55  # Backward-subsumed                    : 2086
% 11.73/3.55  # Backward-rewritten                   : 0
% 11.73/3.55  # Generated clauses                    : 18493
% 11.73/3.55  # ...of the previous two non-redundant : 17463
% 11.73/3.55  # ...aggressively subsumed             : 0
% 11.73/3.55  # Contextual simplify-reflections      : 189
% 11.73/3.55  # Paramodulations                      : 17848
% 11.73/3.55  # Factorizations                       : 0
% 11.73/3.55  # NegExts                              : 0
% 11.73/3.55  # Equation resolutions                 : 287
% 11.73/3.55  # Disequality decompositions           : 0
% 11.73/3.55  # Total rewrite steps                  : 4314
% 11.73/3.55  # ...of those cached                   : 4055
% 11.73/3.55  # Propositional unsat checks           : 1
% 11.73/3.55  #    Propositional check models        : 1
% 11.73/3.55  #    Propositional check unsatisfiable : 0
% 11.73/3.55  #    Propositional clauses             : 0
% 11.73/3.55  #    Propositional clauses after purity: 0
% 11.73/3.55  #    Propositional unsat core size     : 0
% 11.73/3.55  #    Propositional preprocessing time  : 0.000
% 11.73/3.55  #    Propositional encoding time       : 0.014
% 11.73/3.55  #    Propositional solver time         : 0.014
% 11.73/3.55  #    Success case prop preproc time    : 0.000
% 11.73/3.55  #    Success case prop encoding time   : 0.000
% 11.73/3.55  #    Success case prop solver time     : 0.000
% 11.73/3.55  # Current number of processed clauses  : 1077
% 11.73/3.55  #    Positive orientable unit clauses  : 585
% 11.73/3.55  #    Positive unorientable unit clauses: 1
% 11.73/3.55  #    Negative unit clauses             : 4
% 11.73/3.55  #    Non-unit-clauses                  : 487
% 11.73/3.55  # Current number of unprocessed clauses: 15216
% 11.73/3.55  # ...number of literals in the above   : 33320
% 11.73/3.55  # Current number of archived formulas  : 0
% 11.73/3.55  # Current number of archived clauses   : 4149
% 11.73/3.55  # Clause-clause subsumption calls (NU) : 1106765
% 11.73/3.55  # Rec. Clause-clause subsumption calls : 378200
% 11.73/3.55  # Non-unit clause-clause subsumptions  : 202
% 11.73/3.55  # Unit Clause-clause subsumption calls : 43712
% 11.73/3.55  # Rewrite failures with RHS unbound    : 1880
% 11.73/3.55  # BW rewrite match attempts            : 11114
% 11.73/3.55  # BW rewrite match successes           : 1820
% 11.73/3.55  # Condensation attempts                : 0
% 11.73/3.55  # Condensation successes               : 0
% 11.73/3.55  # Termbank termtop insertions          : 1001434
% 11.73/3.55  # Search garbage collected termcells   : 317708
% 11.73/3.55  
% 11.73/3.55  # -------------------------------------------------
% 11.73/3.55  # User time                : 1.441 s
% 11.73/3.55  # System time              : 0.284 s
% 11.73/3.55  # Total time               : 1.725 s
% 11.73/3.55  # Maximum resident set size: 132640 pages
% 11.73/3.55  
% 11.73/3.55  # -------------------------------------------------
% 11.73/3.55  # User time                : 2.624 s
% 11.73/3.55  # System time              : 0.344 s
% 11.73/3.55  # Total time               : 2.968 s
% 11.73/3.55  # Maximum resident set size: 57424 pages
% 11.73/3.55  % E---3.1 exiting
%------------------------------------------------------------------------------