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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:01:57 PM UTC 2026

% Result   : Theorem 0.07s 0.34s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   35 (  22 unt;   0 def)
%            Number of atoms       :   65 (   6 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   55 (  25   ~;  21   |;   3   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   19 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(dog_pet_type,axiom,
    ! [X1] :
      ( dog(X1)
     => pet(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_pet_type) ).

fof(owner_def,axiom,
    ! [X2,X3] :
      ( ( pet(X3)
        & human(X2) )
     => ( owner(X2,X3)
      <=> X2 = owner_of(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_def) ).

fof(odie_type,axiom,
    dog(odie),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_type) ).

fof(cat_pet_type,axiom,
    ! [X1] :
      ( cat(X1)
     => pet(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_pet_type) ).

fof(jon_conjecture,conjecture,
    hates(jon,jon),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_conjecture) ).

fof(cat_chase_axiom,axiom,
    ! [X2,X3] :
      ( ( dog(X3)
        & cat(X2) )
     => ( chased(X3,X2)
       => hates(owner_of(X2),owner_of(X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_chase_axiom) ).

fof(jon_o_owner_axiom,axiom,
    owner(jon,odie),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_o_owner_axiom) ).

fof(jon_type,axiom,
    human(jon),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_type) ).

fof(garfield_type,axiom,
    cat(garfield),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',garfield_type) ).

fof(jon_g_owner_axiom,axiom,
    owner(jon,garfield),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_g_owner_axiom) ).

fof(odie_chase_axiom,axiom,
    chased(odie,garfield),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chase_axiom) ).

fof(c_0_11,plain,
    ! [X14] :
      ( pet(X14)
      | ~ dog(X14) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dog_pet_type])])]) ).

fof(c_0_12,plain,
    ! [X11,X12] :
      ( ( ~ pet(X12)
        | ~ human(X11)
        | owner(X11,X12)
        | X11 != owner_of(X12) )
      & ( ~ pet(X12)
        | ~ human(X11)
        | X11 = owner_of(X12)
        | ~ owner(X11,X12) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owner_def])])])]) ).

cnf(c_0_13,plain,
    ( ~ dog(X1)
    | pet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    dog(odie),
    inference(split_conjunct,[status(thm)],[odie_type]) ).

fof(c_0_15,plain,
    ! [X16] :
      ( pet(X16)
      | ~ cat(X16) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cat_pet_type])])]) ).

fof(c_0_16,negated_conjecture,
    ~ hates(jon,jon),
    inference(assume_negation,[status(cth)],[jon_conjecture]) ).

fof(c_0_17,plain,
    ! [X4,X5] :
      ( hates(owner_of(X4),owner_of(X5))
      | ~ chased(X5,X4)
      | ~ dog(X5)
      | ~ cat(X4) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cat_chase_axiom])])]) ).

cnf(c_0_18,plain,
    ( ~ pet(X2)
    | ~ human(X1)
    | ~ owner(X1,X2)
    | X1 = owner_of(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    owner(jon,odie),
    inference(split_conjunct,[status(thm)],[jon_o_owner_axiom]) ).

cnf(c_0_20,plain,
    human(jon),
    inference(split_conjunct,[status(thm)],[jon_type]) ).

cnf(c_0_21,plain,
    pet(odie),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_22,plain,
    ( ~ cat(X1)
    | pet(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    cat(garfield),
    inference(split_conjunct,[status(thm)],[garfield_type]) ).

fof(c_0_24,negated_conjecture,
    ~ hates(jon,jon),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

cnf(c_0_25,plain,
    ( ~ chased(X2,X1)
    | ~ dog(X2)
    | ~ cat(X1)
    | hates(owner_of(X1),owner_of(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,plain,
    owner_of(odie) = jon,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_27,plain,
    owner(jon,garfield),
    inference(split_conjunct,[status(thm)],[jon_g_owner_axiom]) ).

cnf(c_0_28,plain,
    pet(garfield),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_29,negated_conjecture,
    ~ hates(jon,jon),
    inference(fof_nnf,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    ( ~ cat(X1)
    | ~ chased(odie,X1)
    | hates(owner_of(X1),jon) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_14])]) ).

cnf(c_0_31,plain,
    owner_of(garfield) = jon,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_27]),c_0_20]),c_0_28])]) ).

cnf(c_0_32,plain,
    chased(odie,garfield),
    inference(split_conjunct,[status(thm)],[odie_chase_axiom]) ).

cnf(c_0_33,negated_conjecture,
    ~ hates(jon,jon),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_23])]),c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.02/0.30  % Computer : n012.cluster.edu
% 0.02/0.30  % Model    : x86_64 x86_64
% 0.02/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30  % Memory   : 8046.5625MB
% 0.02/0.30  % OS       : Linux 6.8.0-71-generic
% 0.02/0.30  % CPULimit : 300
% 0.02/0.30  % WCLimit  : 300
% 0.02/0.30  % DateTime : Mon Sep 21 03:52:23 UTC 2026
% 0.02/0.30  % CPUTime  : 
% 0.02/0.30  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33  Running first-order theorem proving
% 0.07/0.33  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
% 0.07/0.34  % Version: 3.5.1
% 0.07/0.34  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34  % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34  % Starting new_bool_1 with 300s (1) cores
% 0.07/0.34  % Starting sh5l with 300s (1) cores
% 0.07/0.34  % new_bool_3 with pid 1504096 completed with status 0
% 0.07/0.34  % Result found by new_bool_3
% 0.07/0.34  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34  % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34  % Search class: FGUSF-FFSM11-SFFFFFNN
% 0.07/0.34  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34  % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34  % SubtermCWHack with pid 1504101 completed with status 0
% 0.07/0.34  % Result found by SubtermCWHack
% 0.07/0.34  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34  % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34  % Search class: FGUSF-FFSM11-SFFFFFNN
% 0.07/0.34  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34  % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34  % Preprocessing time       : 0.001 s
% 0.07/0.34  
% 0.07/0.34  % Proof found!
% 0.07/0.34  % SZS status Theorem
% 0.07/0.34  % SZS output start CNFRefutation
% See solution above
% 0.07/0.34  % Parsed axioms                        : 19
% 0.07/0.34  % Removed by relevancy pruning/SinE    : 0
% 0.07/0.34  % Initial clauses                      : 23
% 0.07/0.34  % Removed in clause preprocessing      : 0
% 0.07/0.34  % Initial clauses in saturation        : 23
% 0.07/0.34  % Processed clauses                    : 37
% 0.07/0.34  % ...of these trivial                  : 0
% 0.07/0.34  % ...subsumed                          : 0
% 0.07/0.34  % ...remaining for further processing  : 37
% 0.07/0.34  % Other redundant clauses eliminated   : 1
% 0.07/0.34  % Clauses deleted for lack of memory   : 0
% 0.07/0.34  % Backward-subsumed                    : 4
% 0.07/0.34  % Backward-rewritten                   : 0
% 0.07/0.34  % Generated clauses                    : 40
% 0.07/0.34  % ...of the previous two non-redundant : 35
% 0.07/0.34  % ...aggressively subsumed             : 0
% 0.07/0.34  % Contextual simplify-reflections      : 1
% 0.07/0.34  % Paramodulations                      : 35
% 0.07/0.34  % Factorizations                       : 4
% 0.07/0.34  % NegExts                              : 0
% 0.07/0.34  % Equation resolutions                 : 1
% 0.07/0.34  % Disequality decompositions           : 0
% 0.07/0.34  % Total rewrite steps                  : 16
% 0.07/0.34  % ...of those cached                   : 6
% 0.07/0.34  % Propositional unsat checks           : 0
% 0.07/0.34  %    Propositional check models        : 0
% 0.07/0.34  %    Propositional check unsatisfiable : 0
% 0.07/0.34  %    Propositional clauses             : 0
% 0.07/0.34  %    Propositional clauses after purity: 0
% 0.07/0.34  %    Propositional unsat core size     : 0
% 0.07/0.34  %    Propositional preprocessing time  : 0.000
% 0.07/0.34  %    Propositional encoding time       : 0.000
% 0.07/0.34  %    Propositional solver time         : 0.000
% 0.07/0.34  %    Success case prop preproc time    : 0.000
% 0.07/0.34  %    Success case prop encoding time   : 0.000
% 0.07/0.34  %    Success case prop solver time     : 0.000
% 0.07/0.34  % Current number of processed clauses  : 32
% 0.07/0.34  %    Positive orientable unit clauses  : 20
% 0.07/0.34  %    Positive unorientable unit clauses: 0
% 0.07/0.34  %    Negative unit clauses             : 1
% 0.07/0.34  %    Non-unit-clauses                  : 11
% 0.07/0.34  % Current number of unprocessed clauses: 4
% 0.07/0.34  % ...number of literals in the above   : 15
% 0.07/0.34  % Current number of archived formulas  : 0
% 0.07/0.34  % Current number of archived clauses   : 4
% 0.07/0.34  % Clause-clause subsumption calls (NU) : 11
% 0.07/0.34  % Rec. Clause-clause subsumption calls : 11
% 0.07/0.34  % Non-unit clause-clause subsumptions  : 1
% 0.07/0.34  % Unit Clause-clause subsumption calls : 9
% 0.07/0.34  % Rewrite failures with RHS unbound    : 0
% 0.07/0.34  % BW rewrite match attempts            : 2
% 0.07/0.34  % BW rewrite match successes           : 2
% 0.07/0.34  % Condensation attempts                : 0
% 0.07/0.34  % Condensation successes               : 0
% 0.07/0.34  % Termbank termtop insertions          : 1275
% 0.07/0.34  % Search garbage collected termcells   : 195
% 0.07/0.34  
% 0.07/0.34  % -------------------------------------------------
% 0.07/0.34  % User time                : 0.003 s
% 0.07/0.34  % System time              : 0.001 s
% 0.07/0.34  % Total time               : 0.004 s
% 0.07/0.34  % Maximum resident set size: 3640 pages
% 0.07/0.34  
% 0.07/0.34  % -------------------------------------------------
% 0.07/0.34  % User time                : 0.003 s
% 0.07/0.34  % System time              : 0.005 s
% 0.07/0.34  % Total time               : 0.008 s
% 0.07/0.34  % Maximum resident set size: 4864 pages
% 0.07/0.34  % E exiting
%------------------------------------------------------------------------------