TSTP Solution File: CSR151^2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : CSR151^2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n016.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  : 600s
% DateTime : Fri Jul 15 21:39:34 EDT 2022

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   91
% Syntax   : Number of formulae    :  103 (  12 unt;  89 typ;   0 def)
%            Number of atoms       :   64 (  12 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  122 (  18   ~;   5   |;   8   &;  91   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  118 ( 118   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   91 (  88 usr;  50 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_num,type,
    num: $tType ).

thf(tp_agent_THFTYPE_i,type,
    agent_THFTYPE_i: $i ).

thf(tp_attribute_THFTYPE_i,type,
    attribute_THFTYPE_i: $i ).

thf(tp_disjointRelation_THFTYPE_IiioI,type,
    disjointRelation_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_disjoint_THFTYPE_IiioI,type,
    disjoint_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_documentation_THFTYPE_i,type,
    documentation_THFTYPE_i: $i ).

thf(tp_domainSubclass_THFTYPE_IIiioIiioI,type,
    domainSubclass_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(tp_domainSubclass_THFTYPE_IiiioI,type,
    domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIIiioIIiioIoIiioI,type,
    domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiiIiioI,type,
    domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiiioIiioI,type,
    domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiioIiioI,type,
    domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IiiioI,type,
    domain_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(tp_duration_THFTYPE_IiioI,type,
    duration_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_equal_THFTYPE_i,type,
    equal_THFTYPE_i: $i ).

thf(tp_greaterThan_THFTYPE_i,type,
    greaterThan_THFTYPE_i: $i ).

thf(tp_holdsDuring_THFTYPE_IiooI,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(tp_instance_THFTYPE_IIIiioIiioIioI,type,
    instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiIioI,type,
    instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiiIioI,type,
    instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiioIioI,type,
    instance_THFTYPE_IIiiioIioI: ( $i > $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiioIioI,type,
    instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiooIioI,type,
    instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IiioI,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_instrument_THFTYPE_i,type,
    instrument_THFTYPE_i: $i ).

thf(tp_lAdditionFn_THFTYPE_i,type,
    lAdditionFn_THFTYPE_i: $i ).

thf(tp_lAsymmetricRelation_THFTYPE_i,type,
    lAsymmetricRelation_THFTYPE_i: $i ).

thf(tp_lBeginFn_THFTYPE_IiiI,type,
    lBeginFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lBill_THFTYPE_i,type,
    lBill_THFTYPE_i: $i ).

thf(tp_lBinaryFunction_THFTYPE_i,type,
    lBinaryFunction_THFTYPE_i: $i ).

thf(tp_lBinaryPredicate_THFTYPE_i,type,
    lBinaryPredicate_THFTYPE_i: $i ).

thf(tp_lCardinalityFn_THFTYPE_IiiI,type,
    lCardinalityFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lDayDuration_THFTYPE_i,type,
    lDayDuration_THFTYPE_i: $i ).

thf(tp_lDay_THFTYPE_i,type,
    lDay_THFTYPE_i: $i ).

thf(tp_lEndFn_THFTYPE_IiiI,type,
    lEndFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lEntity_THFTYPE_i,type,
    lEntity_THFTYPE_i: $i ).

thf(tp_lInheritableRelation_THFTYPE_i,type,
    lInheritableRelation_THFTYPE_i: $i ).

thf(tp_lInteger_THFTYPE_i,type,
    lInteger_THFTYPE_i: $i ).

thf(tp_lIrreflexiveRelation_THFTYPE_i,type,
    lIrreflexiveRelation_THFTYPE_i: $i ).

thf(tp_lMary_THFTYPE_i,type,
    lMary_THFTYPE_i: $i ).

thf(tp_lMeasureFn_THFTYPE_IiiiI,type,
    lMeasureFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_lMonthFn_THFTYPE_i,type,
    lMonthFn_THFTYPE_i: $i ).

thf(tp_lMonth_THFTYPE_i,type,
    lMonth_THFTYPE_i: $i ).

thf(tp_lMultiplicationFn_THFTYPE_i,type,
    lMultiplicationFn_THFTYPE_i: $i ).

thf(tp_lObject_THFTYPE_i,type,
    lObject_THFTYPE_i: $i ).

thf(tp_lProcess_THFTYPE_i,type,
    lProcess_THFTYPE_i: $i ).

thf(tp_lQuantity_THFTYPE_i,type,
    lQuantity_THFTYPE_i: $i ).

thf(tp_lRelationExtendedToQuantities_THFTYPE_i,type,
    lRelationExtendedToQuantities_THFTYPE_i: $i ).

thf(tp_lRelation_THFTYPE_i,type,
    lRelation_THFTYPE_i: $i ).

thf(tp_lSetOrClass_THFTYPE_i,type,
    lSetOrClass_THFTYPE_i: $i ).

thf(tp_lSubtractionFn_THFTYPE_i,type,
    lSubtractionFn_THFTYPE_i: $i ).

thf(tp_lSue_THFTYPE_i,type,
    lSue_THFTYPE_i: $i ).

thf(tp_lTemporalCompositionFn_THFTYPE_IiiiI,type,
    lTemporalCompositionFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_lTemporalCompositionFn_THFTYPE_i,type,
    lTemporalCompositionFn_THFTYPE_i: $i ).

thf(tp_lTemporalRelation_THFTYPE_i,type,
    lTemporalRelation_THFTYPE_i: $i ).

thf(tp_lTernaryPredicate_THFTYPE_i,type,
    lTernaryPredicate_THFTYPE_i: $i ).

thf(tp_lTimeInterval_THFTYPE_i,type,
    lTimeInterval_THFTYPE_i: $i ).

thf(tp_lTotalValuedRelation_THFTYPE_i,type,
    lTotalValuedRelation_THFTYPE_i: $i ).

thf(tp_lTransitiveRelation_THFTYPE_i,type,
    lTransitiveRelation_THFTYPE_i: $i ).

thf(tp_lUnaryFunction_THFTYPE_i,type,
    lUnaryFunction_THFTYPE_i: $i ).

thf(tp_lWhenFn_THFTYPE_IiiI,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lWhenFn_THFTYPE_i,type,
    lWhenFn_THFTYPE_i: $i ).

thf(tp_lYearFn_THFTYPE_IiiI,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lYearFn_THFTYPE_i,type,
    lYearFn_THFTYPE_i: $i ).

thf(tp_lYear_THFTYPE_i,type,
    lYear_THFTYPE_i: $i ).

thf(tp_lessThan_THFTYPE_i,type,
    lessThan_THFTYPE_i: $i ).

thf(tp_likes_THFTYPE_IiioI,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_located_THFTYPE_IiioI,type,
    located_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_meetsTemporally_THFTYPE_IiioI,type,
    meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_minus_THFTYPE_IiiiI,type,
    minus_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_n12_THFTYPE_i,type,
    n12_THFTYPE_i: $i ).

thf(tp_n1_THFTYPE_i,type,
    n1_THFTYPE_i: $i ).

thf(tp_n2009_THFTYPE_i,type,
    n2009_THFTYPE_i: $i ).

thf(tp_n2_THFTYPE_i,type,
    n2_THFTYPE_i: $i ).

thf(tp_n3_THFTYPE_i,type,
    n3_THFTYPE_i: $i ).

thf(tp_orientation_THFTYPE_i,type,
    orientation_THFTYPE_i: $i ).

thf(tp_part_THFTYPE_IiioI,type,
    part_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_patient_THFTYPE_i,type,
    patient_THFTYPE_i: $i ).

thf(tp_rangeSubclass_THFTYPE_IiioI,type,
    rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_range_THFTYPE_IiioI,type,
    range_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IIiioIIiioIoI,type,
    relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IiIiiIoI,type,
    relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IiioI,type,
    relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_result_THFTYPE_i,type,
    result_THFTYPE_i: $i ).

thf(tp_subProcess_THFTYPE_IiioI,type,
    subProcess_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_subclass_THFTYPE_IiioI,type,
    subclass_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_subrelation_THFTYPE_IIioIIioIoI,type,
    subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).

thf(tp_subrelation_THFTYPE_IiioI,type,
    subrelation_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_temporalPart_THFTYPE_IiioI,type,
    temporalPart_THFTYPE_IiioI: $i > $i > $o ).

thf(163,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).

thf(190,conjecture,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(191,negated_conjecture,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[190]) ).

thf(192,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(208,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(212,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[192]) ).

thf(218,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $true ),
    inference(copy,[status(thm)],[208]) ).

thf(234,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[212]) ).

thf(235,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(236,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(242,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(317,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
            | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
    = $false ),
    inference(res,[status(thm)],[242,235]) ).

thf(333,plain,
    $false = $true,
    inference(extuni,[status(esa)],[317]) ).

thf(334,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[333]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR151^2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.11  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sat Jun 11 19:30:11 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  .
% 0.17/0.35  
% 0.17/0.35   No.of.Axioms: 189
% 0.17/0.35  
% 0.17/0.35   Length.of.Defs: 0
% 0.17/0.35  
% 0.17/0.35   Contains.Choice.Funs: false
% 0.17/0.36  .....
% 0.17/0.37  (rf:2,axioms:19,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:191,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.17/0.45  
% 0.17/0.45  ********************************
% 0.17/0.45  *   All subproblems solved!    *
% 0.17/0.45  ********************************
% 0.17/0.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:19,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:333,loop_count:18,foatp_calls:2,translation:fof_full)
% 0.17/0.45  
% 0.17/0.45  %**** Beginning of derivation protocol ****
% 0.17/0.45  % SZS output start CNFRefutation
% See solution above
% 0.17/0.45  
% 0.17/0.45  %**** End of derivation protocol ****
% 0.17/0.45  %**** no. of clauses in derivation: 14 ****
% 0.17/0.45  %**** clause counter: 333 ****
% 0.17/0.45  
% 0.17/0.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:19,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:333,loop_count:18,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------