TSTP Solution File: CSR088+6 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR088+6 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 19:14:21 EDT 2024

% Result   : ContradictoryAxioms 216.61s 28.90s
% Output   : CNFRefutation 216.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   35 (  10 unt;   0 def)
%            Number of atoms       :  129 (  33 equ)
%            Maximal formula atoms :   45 (   3 avg)
%            Number of connectives :  146 (  52   ~;  61   |;  26   &)
%                                         (   1 <=>;   6  =>;   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    :   13 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :   69 (  24 sgn  23   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_49882,axiom,
    ! [X2266] :
      ( s__instance(X2266,s__Train)
     => ? [X1,X15] :
          ( s__instance(X1,s__RollingStock)
          & s__instance(X15,s__RollingStock)
          & X1 != X15 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_49882) ).

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_49908,axiom,
    ! [X2266] :
      ( s__instance(X2266,s__Train)
     => ~ ? [X1,X15] :
            ( s__instance(X1,s__RollingStock)
            & s__instance(X15,s__RollingStock)
            & X1 != X15 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_49908) ).

fof(local_2,axiom,
    s__instance(s__Time15_2,s__TimeInterval),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).

fof(kb_SUMO_1895,axiom,
    s__instance(s__rentalPrice__m,s__QuaternaryPredicate),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_1895) ).

fof(c_0_5,plain,
    ! [X2266] :
      ( s__instance(X2266,s__Train)
     => ? [X1,X15] :
          ( s__instance(X1,s__RollingStock)
          & s__instance(X15,s__RollingStock)
          & X1 != X15 ) ),
    inference(fof_simplification,[status(thm)],[kb_SUMO_49882]) ).

fof(c_0_6,plain,
    ! [X22748] :
      ( ( s__instance(esk2427_0,s__RollingStock)
        | ~ s__instance(X22748,s__Train) )
      & ( s__instance(esk2428_0,s__RollingStock)
        | ~ s__instance(X22748,s__Train) )
      & ( esk2427_0 != esk2428_0
        | ~ s__instance(X22748,s__Train) ) ),
    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)],[c_0_5])])])])])])]) ).

fof(c_0_7,plain,
    ! [X2589,X2590,X2591,X2592,X2593,X2594,X2595,X2596,X2597] :
      ( ( s__instance(X2592,X2590)
        | ~ s__instance(X2592,X2591)
        | ~ s__instance(X2593,X2589)
        | ~ s__instance(X2594,X2590)
        | ~ s__instance(X2591,s__SetOrClass)
        | ~ s__instance(X2590,s__SetOrClass)
        | ~ s__instance(X2589,s__SetOrClass)
        | X2590 != s__UnionFn(X2591,X2589) )
      & ( s__instance(X2593,X2590)
        | ~ s__instance(X2592,X2591)
        | ~ s__instance(X2593,X2589)
        | ~ s__instance(X2594,X2590)
        | ~ s__instance(X2591,s__SetOrClass)
        | ~ s__instance(X2590,s__SetOrClass)
        | ~ s__instance(X2589,s__SetOrClass)
        | X2590 != s__UnionFn(X2591,X2589) )
      & ( s__instance(X2594,X2591)
        | s__instance(X2594,X2589)
        | ~ s__instance(X2592,X2591)
        | ~ s__instance(X2593,X2589)
        | ~ s__instance(X2594,X2590)
        | ~ s__instance(X2591,s__SetOrClass)
        | ~ s__instance(X2590,s__SetOrClass)
        | ~ s__instance(X2589,s__SetOrClass)
        | X2590 != s__UnionFn(X2591,X2589) )
      & ( s__instance(X2597,s__SetOrClass)
        | X2596 = s__UnionFn(X2597,X2595) )
      & ( s__instance(X2596,s__SetOrClass)
        | X2596 = s__UnionFn(X2597,X2595) )
      & ( s__instance(X2595,s__SetOrClass)
        | X2596 = s__UnionFn(X2597,X2595) )
      & ( s__instance(esk35_3(X2595,X2596,X2597),X2597)
        | X2596 = s__UnionFn(X2597,X2595) )
      & ( s__instance(esk36_3(X2595,X2596,X2597),X2595)
        | X2596 = s__UnionFn(X2597,X2595) )
      & ( s__instance(esk37_3(X2595,X2596,X2597),X2596)
        | X2596 = s__UnionFn(X2597,X2595) )
      & ( ~ s__instance(esk37_3(X2595,X2596,X2597),X2597)
        | ~ s__instance(esk35_3(X2595,X2596,X2597),X2596)
        | ~ s__instance(esk36_3(X2595,X2596,X2597),X2596)
        | X2596 = s__UnionFn(X2597,X2595) )
      & ( ~ s__instance(esk37_3(X2595,X2596,X2597),X2595)
        | ~ s__instance(esk35_3(X2595,X2596,X2597),X2596)
        | ~ s__instance(esk36_3(X2595,X2596,X2597),X2596)
        | X2596 = s__UnionFn(X2597,X2595) ) ),
    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_8,plain,
    ( s__instance(esk2427_0,s__RollingStock)
    | ~ s__instance(X1,s__Train) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( s__instance(esk37_3(X1,X2,X3),X2)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( s__instance(esk35_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( s__UnionFn(X1,X2) = s__Train
    | s__instance(esk2427_0,s__RollingStock) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    ( X1 = s__UnionFn(s__Train,X2)
    | s__instance(esk2427_0,s__RollingStock) ),
    inference(spm,[status(thm)],[c_0_8,c_0_10]) ).

cnf(c_0_13,plain,
    ( s__instance(esk2428_0,s__RollingStock)
    | ~ s__instance(X1,s__Train) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_14,plain,
    ! [X2266] :
      ( s__instance(X2266,s__Train)
     => ~ ? [X1,X15] :
            ( s__instance(X1,s__RollingStock)
            & s__instance(X15,s__RollingStock)
            & X1 != X15 ) ),
    inference(fof_simplification,[status(thm)],[kb_SUMO_49908]) ).

cnf(c_0_15,plain,
    ( X1 = s__Train
    | s__instance(esk2427_0,s__RollingStock) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ( s__UnionFn(X1,X2) = s__Train
    | s__instance(esk2428_0,s__RollingStock) ),
    inference(spm,[status(thm)],[c_0_13,c_0_9]) ).

cnf(c_0_17,plain,
    ( X1 = s__UnionFn(s__Train,X2)
    | s__instance(esk2428_0,s__RollingStock) ),
    inference(spm,[status(thm)],[c_0_13,c_0_10]) ).

fof(c_0_18,plain,
    ! [X22751,X22752,X22753] :
      ( ~ s__instance(X22751,s__Train)
      | ~ s__instance(X22752,s__RollingStock)
      | ~ s__instance(X22753,s__RollingStock)
      | X22752 = X22753 ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

cnf(c_0_19,plain,
    ( s__instance(esk2427_0,s__RollingStock)
    | ~ s__instance(X1,X2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_15]) ).

cnf(c_0_20,plain,
    s__instance(s__Time15_2,s__TimeInterval),
    inference(split_conjunct,[status(thm)],[local_2]) ).

cnf(c_0_21,plain,
    ( X1 = s__Train
    | s__instance(esk2428_0,s__RollingStock) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    ( X2 = X3
    | ~ s__instance(X1,s__Train)
    | ~ s__instance(X2,s__RollingStock)
    | ~ s__instance(X3,s__RollingStock) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    s__instance(esk2427_0,s__RollingStock),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    ( s__instance(esk2428_0,s__RollingStock)
    | ~ s__instance(X1,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_21]) ).

cnf(c_0_25,plain,
    ( X1 = esk2427_0
    | ~ s__instance(X1,s__RollingStock)
    | ~ s__instance(X2,s__Train) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,plain,
    s__instance(esk2428_0,s__RollingStock),
    inference(spm,[status(thm)],[c_0_24,c_0_23]) ).

cnf(c_0_27,plain,
    ( esk2427_0 != esk2428_0
    | ~ s__instance(X1,s__Train) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_28,plain,
    ~ s__instance(X1,s__Train),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_29,plain,
    ( s__instance(esk36_3(X1,X2,X3),X1)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_30,plain,
    s__UnionFn(X1,X2) = s__Train,
    inference(spm,[status(thm)],[c_0_28,c_0_9]) ).

cnf(c_0_31,plain,
    ( X1 = s__Train
    | s__instance(esk36_3(X2,X1,X3),X2) ),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,plain,
    s__instance(s__rentalPrice__m,s__QuaternaryPredicate),
    inference(split_conjunct,[status(thm)],[kb_SUMO_1895]) ).

cnf(c_0_33,plain,
    X1 = s__Train,
    inference(spm,[status(thm)],[c_0_28,c_0_31]) ).

cnf(c_0_34,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : CSR088+6 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n002.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 00:49:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.61/28.90  # Version: 3.1.0
% 216.61/28.90  # Preprocessing class: FMLLSMSLSSSNFFN.
% 216.61/28.90  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 216.61/28.90  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 216.61/28.90  # Starting new_bool_3 with 299s (1) cores
% 216.61/28.90  # Starting new_bool_1 with 299s (1) cores
% 216.61/28.90  # Starting sh5l with 299s (1) cores
% 216.61/28.90  # sh5l with pid 24399 completed with status 0
% 216.61/28.90  # Result found by sh5l
% 216.61/28.90  # Preprocessing class: FMLLSMSLSSSNFFN.
% 216.61/28.90  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 216.61/28.90  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 216.61/28.90  # Starting new_bool_3 with 299s (1) cores
% 216.61/28.90  # Starting new_bool_1 with 299s (1) cores
% 216.61/28.90  # Starting sh5l with 299s (1) cores
% 216.61/28.90  # SinE strategy is gf500_gu_R04_F100_L20000
% 216.61/28.90  # Search class: FGHSM-SMLM33-DFFFFFNN
% 216.61/28.90  # Scheduled 6 strats onto 1 cores with 297 seconds (297 total)
% 216.61/28.90  # Starting SAT001_MinMin_p005000_rr with 161s (1) cores
% 216.61/28.90  # SAT001_MinMin_p005000_rr with pid 24407 completed with status 0
% 216.61/28.90  # Result found by SAT001_MinMin_p005000_rr
% 216.61/28.90  # Preprocessing class: FMLLSMSLSSSNFFN.
% 216.61/28.90  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 216.61/28.90  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 216.61/28.90  # Starting new_bool_3 with 299s (1) cores
% 216.61/28.90  # Starting new_bool_1 with 299s (1) cores
% 216.61/28.90  # Starting sh5l with 299s (1) cores
% 216.61/28.90  # SinE strategy is gf500_gu_R04_F100_L20000
% 216.61/28.90  # Search class: FGHSM-SMLM33-DFFFFFNN
% 216.61/28.90  # Scheduled 6 strats onto 1 cores with 297 seconds (297 total)
% 216.61/28.90  # Starting SAT001_MinMin_p005000_rr with 161s (1) cores
% 216.61/28.90  # Preprocessing time       : 0.263 s
% 216.61/28.90  # Presaturation interreduction done
% 216.61/28.90  
% 216.61/28.90  # Proof found!
% 216.61/28.90  # SZS status ContradictoryAxioms
% 216.61/28.90  # SZS output start CNFRefutation
% See solution above
% 216.61/28.90  # Parsed axioms                        : 55590
% 216.61/28.90  # Removed by relevancy pruning/SinE    : 46223
% 216.61/28.90  # Initial clauses                      : 16257
% 216.61/28.90  # Removed in clause preprocessing      : 803
% 216.61/28.90  # Initial clauses in saturation        : 15454
% 216.61/28.90  # Processed clauses                    : 33255
% 216.61/28.90  # ...of these trivial                  : 1117
% 216.61/28.90  # ...subsumed                          : 863
% 216.61/28.90  # ...remaining for further processing  : 31275
% 216.61/28.90  # Other redundant clauses eliminated   : 2674
% 216.61/28.90  # Clauses deleted for lack of memory   : 0
% 216.61/28.90  # Backward-subsumed                    : 69
% 216.61/28.90  # Backward-rewritten                   : 9852
% 216.61/28.90  # Generated clauses                    : 104990
% 216.61/28.90  # ...of the previous two non-redundant : 104005
% 216.61/28.90  # ...aggressively subsumed             : 0
% 216.61/28.90  # Contextual simplify-reflections      : 2584
% 216.61/28.90  # Paramodulations                      : 102335
% 216.61/28.90  # Factorizations                       : 0
% 216.61/28.90  # NegExts                              : 0
% 216.61/28.90  # Equation resolutions                 : 2677
% 216.61/28.90  # Disequality decompositions           : 0
% 216.61/28.90  # Total rewrite steps                  : 4299
% 216.61/28.90  # ...of those cached                   : 0
% 216.61/28.90  # Propositional unsat checks           : 9
% 216.61/28.90  #    Propositional check models        : 6
% 216.61/28.90  #    Propositional check unsatisfiable : 0
% 216.61/28.90  #    Propositional clauses             : 0
% 216.61/28.90  #    Propositional clauses after purity: 0
% 216.61/28.90  #    Propositional unsat core size     : 0
% 216.61/28.90  #    Propositional preprocessing time  : 0.000
% 216.61/28.90  #    Propositional encoding time       : 0.465
% 216.61/28.90  #    Propositional solver time         : 0.237
% 216.61/28.90  #    Success case prop preproc time    : 0.000
% 216.61/28.90  #    Success case prop encoding time   : 0.000
% 216.61/28.90  #    Success case prop solver time     : 0.000
% 216.61/28.90  # Current number of processed clauses  : 3619
% 216.61/28.90  #    Positive orientable unit clauses  : 1786
% 216.61/28.90  #    Positive unorientable unit clauses: 1
% 216.61/28.90  #    Negative unit clauses             : 13
% 216.61/28.90  #    Non-unit-clauses                  : 1819
% 216.61/28.90  # Current number of unprocessed clauses: 41667
% 216.61/28.90  # ...number of literals in the above   : 175610
% 216.61/28.90  # Current number of archived formulas  : 0
% 216.61/28.90  # Current number of archived clauses   : 25215
% 216.61/28.90  # Clause-clause subsumption calls (NU) : 79877903
% 216.61/28.90  # Rec. Clause-clause subsumption calls : 6914626
% 216.61/28.90  # Non-unit clause-clause subsumptions  : 3484
% 216.61/28.90  # Unit Clause-clause subsumption calls : 1884617
% 216.61/28.90  # Rewrite failures with RHS unbound    : 3
% 216.61/28.90  # BW rewrite match attempts            : 20123
% 216.61/28.90  # BW rewrite match successes           : 6427
% 216.61/28.90  # Condensation attempts                : 0
% 216.61/28.90  # Condensation successes               : 0
% 216.61/28.90  # Termbank termtop insertions          : 3974596
% 216.61/28.90  # Search garbage collected termcells   : 501441
% 216.61/28.90  
% 216.61/28.90  # -------------------------------------------------
% 216.61/28.90  # User time                : 25.815 s
% 216.61/28.90  # System time              : 0.913 s
% 216.61/28.90  # Total time               : 26.728 s
% 216.61/28.90  # Maximum resident set size: 167004 pages
% 216.61/28.90  
% 216.61/28.90  # -------------------------------------------------
% 216.61/28.90  # User time                : 26.845 s
% 216.61/28.90  # System time              : 0.977 s
% 216.61/28.90  # Total time               : 27.822 s
% 216.61/28.90  # Maximum resident set size: 57424 pages
% 216.61/28.90  % E---3.1 exiting
% 216.61/28.90  % E exiting
%------------------------------------------------------------------------------