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E---3.5.1.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB109_15 : TPTP v9.3.1. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 02:38:39 PM UTC 2026

% Result   : CounterSatisfiable 1.10s 0.96s
% Output   : Saturation 1.10s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_9ERROR: Could not build tree for root c_0_17ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tcf(c_0_11,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ male(esk5_1(X3),X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | q2('$ki_local_world',X3)
      | female(X1,esk6_2(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_12,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | male(X1,bob) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_13,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | q2('$ki_local_world',X3)
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | female(X1,esk6_2(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_14,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | male(X1,john) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_15,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | male(X1,paul) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_16,plain,
    ! [X4,X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ q2('$ki_local_world',X3)
      | ~ female(esk4_1(X3),X4)
      | ~ parent(esk4_1(X3),X3,X4)
      | ~ '$ki_exists_in_world_$i'(esk4_1(X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_17,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | parent(X1,bob,ann) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_18,plain,
    ! [X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ q2('$ki_local_world',X3)
      | '$ki_accessible'('$ki_local_world',esk4_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_20,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | parent(X1,bob,mary) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_21,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ female(X1,X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | '$ki_accessible'('$ki_local_world',esk3_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]),
    [final] ).

tcf(c_0_22,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | female(X1,ann) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_24,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | female(X1,mary) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_25,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | female(X1,jane) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_26,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | q2('$ki_local_world',bob)
      | female(X1,esk6_2(bob,X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
    [final] ).

tcf(c_0_27,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | q2('$ki_local_world',john)
      | female(X1,esk6_2(john,X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_13]),
    [final] ).

tcf(c_0_28,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | q2('$ki_local_world',paul)
      | female(X1,esk6_2(paul,X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15]),c_0_13]),
    [final] ).

tcf(c_0_29,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ female(X1,X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ male(esk3_1(X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]),
    [final] ).

tcf(c_0_30,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ q2('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | male(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_32,plain,
    ! [X1: '$ki_world',X3,X2: '$ki_world'] :
      ( ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_exists_in_world_$i'(X1,X3)
      | '$ki_exists_in_world_$i'(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]),
    [final] ).

tcf(c_0_35,plain,
    ! [X1: '$ki_world'] : '$ki_accessible'(X1,esk1_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_23]),
    [final] ).

tcf(c_0_39,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(bob,X1))
      | '$ki_accessible'('$ki_local_world',esk3_1(esk6_2(bob,X1)))
      | q2('$ki_local_world',bob) ),
    inference(spm,[status(thm)],[c_0_21,c_0_26]),
    [final] ).

tcf(c_0_40,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(john,X1))
      | '$ki_accessible'('$ki_local_world',esk3_1(esk6_2(john,X1)))
      | q2('$ki_local_world',john) ),
    inference(spm,[status(thm)],[c_0_21,c_0_27]),
    [final] ).

tcf(c_0_41,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(paul,X1))
      | '$ki_accessible'('$ki_local_world',esk3_1(esk6_2(paul,X1)))
      | q2('$ki_local_world',paul) ),
    inference(spm,[status(thm)],[c_0_21,c_0_28]),
    [final] ).

tcf(c_0_42,plain,
    ! [X3,X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(X3,X1))
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | '$ki_accessible'('$ki_local_world',esk3_1(esk6_2(X3,X1)))
      | q2('$ki_local_world',X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_13]),
    [final] ).

tcf(c_0_43,plain,
    ! [X3,X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',X3)
      | ~ female(X1,X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_21]),
    [final] ).

tcf(c_0_44,plain,
    ( ~ q2('$ki_local_world',bob)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
    | ~ '$ki_exists_in_world_$i'(esk4_1(bob),ann) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_22]),c_0_18]),
    [final] ).

tcf(c_0_45,plain,
    ! [X4,X3] :
      ( ~ q2('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X4)
      | '$ki_exists_in_world_$i'(esk4_1(X3),X4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_18]),
    [final] ).

tcf(c_0_46,plain,
    ( ~ q2('$ki_local_world',bob)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
    | ~ '$ki_exists_in_world_$i'(esk4_1(bob),mary) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_18]),
    [final] ).

tcf(c_0_47,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | parent(X1,john,paul) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_48,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ male(esk5_1(X3),X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | q2('$ki_local_world',X3)
      | '$ki_exists_in_world_$i'(X1,esk6_2(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_49,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | q2('$ki_local_world',X3)
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | '$ki_exists_in_world_$i'(X1,esk6_2(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_50,plain,
    ( ~ '$ki_exists_in_world_$i'('$ki_local_world',ann)
    | '$ki_accessible'('$ki_local_world',esk3_1(ann)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]),
    [final] ).

tcf(c_0_51,plain,
    ( ~ '$ki_exists_in_world_$i'('$ki_local_world',mary)
    | '$ki_accessible'('$ki_local_world',esk3_1(mary)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_35]),
    [final] ).

tcf(c_0_52,plain,
    ( ~ '$ki_exists_in_world_$i'('$ki_local_world',jane)
    | '$ki_accessible'('$ki_local_world',esk3_1(jane)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_35]),
    [final] ).

tcf(c_0_55,plain,
    ! [X3,X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(bob,X1))
      | q2('$ki_local_world',bob)
      | '$ki_exists_in_world_$i'(esk3_1(esk6_2(bob,X1)),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_39]),
    [final] ).

tcf(c_0_56,plain,
    ! [X3,X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(john,X1))
      | q2('$ki_local_world',john)
      | '$ki_exists_in_world_$i'(esk3_1(esk6_2(john,X1)),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_40]),
    [final] ).

tcf(c_0_57,plain,
    ! [X3,X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(paul,X1))
      | q2('$ki_local_world',paul)
      | '$ki_exists_in_world_$i'(esk3_1(esk6_2(paul,X1)),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_41]),
    [final] ).

tcf(c_0_58,plain,
    ! [X4,X3,X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X4)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(X3,X1))
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | q2('$ki_local_world',X3)
      | '$ki_exists_in_world_$i'(esk3_1(esk6_2(X3,X1)),X4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_42]),
    [final] ).

tcf(c_0_59,plain,
    ! [X3,X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',esk6_2(X3,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(X3,X1))
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | q2('$ki_local_world',X3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_13]),
    [final] ).

tcf(c_0_60,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',esk6_2(bob,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(bob,X1))
      | q2('$ki_local_world',bob) ),
    inference(spm,[status(thm)],[c_0_43,c_0_26]),
    [final] ).

tcf(c_0_61,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',esk6_2(john,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(john,X1))
      | q2('$ki_local_world',john) ),
    inference(spm,[status(thm)],[c_0_43,c_0_27]),
    [final] ).

tcf(c_0_62,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',esk6_2(paul,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(paul,X1))
      | q2('$ki_local_world',paul) ),
    inference(spm,[status(thm)],[c_0_43,c_0_28]),
    [final] ).

tcf(c_0_63,plain,
    ( ~ q2('$ki_local_world',bob)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',ann)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]),
    [final] ).

tcf(c_0_64,plain,
    ( ~ q2('$ki_local_world',bob)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',mary)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob) ),
    inference(spm,[status(thm)],[c_0_46,c_0_45]),
    [final] ).

tcf(c_0_65,plain,
    ( ~ q2('$ki_local_world',john)
    | ~ female(esk4_1(john),paul)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
    | ~ '$ki_exists_in_world_$i'(esk4_1(john),paul) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_47]),c_0_18]),
    [final] ).

tcf(c_0_66,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ male(esk5_1(X3),X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | q2('$ki_local_world',X3)
      | parent(X1,X3,esk6_2(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_67,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | q2('$ki_local_world',bob)
      | '$ki_exists_in_world_$i'(X1,esk6_2(bob,X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_12]),c_0_49]),
    [final] ).

tcf(c_0_68,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | q2('$ki_local_world',john)
      | '$ki_exists_in_world_$i'(X1,esk6_2(john,X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_14]),c_0_49]),
    [final] ).

tcf(c_0_69,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | q2('$ki_local_world',paul)
      | '$ki_exists_in_world_$i'(X1,esk6_2(paul,X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_15]),c_0_49]),
    [final] ).

tcf(c_0_70,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | q2('$ki_local_world',X3)
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | parent(X1,X3,esk6_2(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_71,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',ann)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',ann) ),
    inference(spm,[status(thm)],[c_0_43,c_0_22]),
    [final] ).

tcf(c_0_72,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',mary)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',mary) ),
    inference(spm,[status(thm)],[c_0_43,c_0_24]),
    [final] ).

tcf(c_0_73,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',jane)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',jane) ),
    inference(spm,[status(thm)],[c_0_43,c_0_25]),
    [final] ).

tcf(c_0_74,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ female(X1,bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_21]),
    [final] ).

tcf(c_0_75,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ female(X1,john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_14]),c_0_21]),
    [final] ).

tcf(c_0_76,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ female(X1,paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_15]),c_0_21]),
    [final] ).

tcf(c_0_77,plain,
    ! [X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',ann)
      | '$ki_exists_in_world_$i'(esk3_1(ann),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_50]),
    [final] ).

tcf(c_0_78,plain,
    ! [X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',mary)
      | '$ki_exists_in_world_$i'(esk3_1(mary),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_51]),
    [final] ).

tcf(c_0_79,plain,
    ! [X3] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',jane)
      | '$ki_exists_in_world_$i'(esk3_1(jane),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_52]),
    [final] ).

tcf(c_0_80,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ '$ki_exists_in_world_$i'(X1,X3)
      | '$ki_exists_in_world_$i'(esk1_1(X1),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_35]),
    [final] ).

tcf(c_0_81,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | parent(X1,mary,jane) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_82,negated_conjecture,
    ( ~ q2('$ki_local_world',paul)
    | ~ q2('$ki_local_world',john) ),
    inference(split_conjunct,[status(thm)],[c_0_53]),
    [final] ).

tcf(c_0_83,plain,
    ! [X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,esk2_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_54]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB109_15 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37  % Computer : n006.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Mon Sep 21 07:47:59 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.10/0.96  % Version: 3.5.1
% 1.10/0.96  % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.10/0.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.10/0.96  % Starting new_bool_3 with 300s (1) cores
% 1.10/0.96  % Starting new_bool_1 with 300s (1) cores
% 1.10/0.96  % Starting sh5l with 300s (1) cores
% 1.10/0.96  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2350568 completed with status 1
% 1.10/0.96  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.10/0.96  % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.10/0.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.10/0.96  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.10/0.96  % No SInE strategy applied
% 1.10/0.96  % Search class: FGHNS-FFMF21-SFFFFFNN
% 1.10/0.96  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.10/0.96  % Starting SubtermCWHack with 136s (1) cores
% 1.10/0.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.10/0.96  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.10/0.96  % Starting new_bool_3 with 136s (1) cores
% 1.10/0.96  % Starting new_bool_1 with 136s (1) cores
% 1.10/0.96  % SubtermCWHack with pid 2350573 completed with status 1
% 1.10/0.96  % Result found by SubtermCWHack
% 1.10/0.96  % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.10/0.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.96  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.10/0.96  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.10/0.96  % No SInE strategy applied
% 1.10/0.96  % Search class: FGHNS-FFMF21-SFFFFFNN
% 1.10/0.96  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.10/0.96  % Starting SubtermCWHack with 136s (1) cores
% 1.10/0.96  % Preprocessing time       : 0.001 s
% 1.10/0.96  
% 1.10/0.96  % No proof found!
% 1.10/0.96  % SZS status CounterSatisfiable
% 1.10/0.96  % SZS output start Saturation
% See solution above
% 1.10/0.96  % Parsed axioms                        : 21
% 1.10/0.96  % Removed by relevancy pruning/SinE    : 0
% 1.10/0.96  % Initial clauses                      : 39
% 1.10/0.96  % Removed in clause preprocessing      : 14
% 1.10/0.96  % Initial clauses in saturation        : 25
% 1.10/0.96  % Processed clauses                    : 69
% 1.10/0.96  % ...of these trivial                  : 0
% 1.10/0.96  % ...subsumed                          : 1
% 1.10/0.96  % ...remaining for further processing  : 68
% 1.10/0.96  % Other redundant clauses eliminated   : 0
% 1.10/0.96  % Clauses deleted for lack of memory   : 0
% 1.10/0.96  % Backward-subsumed                    : 5
% 1.10/0.96  % Backward-rewritten                   : 0
% 1.10/0.96  % Generated clauses                    : 54
% 1.10/0.96  % ...of the previous two non-redundant : 50
% 1.10/0.96  % ...aggressively subsumed             : 0
% 1.10/0.96  % Contextual simplify-reflections      : 15
% 1.10/0.96  % Paramodulations                      : 54
% 1.10/0.96  % Factorizations                       : 0
% 1.10/0.96  % NegExts                              : 0
% 1.10/0.96  % Equation resolutions                 : 0
% 1.10/0.96  % Disequality decompositions           : 0
% 1.10/0.96  % Total rewrite steps                  : 0
% 1.10/0.96  % ...of those cached                   : 0
% 1.10/0.96  % Propositional unsat checks           : 0
% 1.10/0.96  %    Propositional check models        : 0
% 1.10/0.96  %    Propositional check unsatisfiable : 0
% 1.10/0.96  %    Propositional clauses             : 0
% 1.10/0.96  %    Propositional clauses after purity: 0
% 1.10/0.96  %    Propositional unsat core size     : 0
% 1.10/0.96  %    Propositional preprocessing time  : 0.000
% 1.10/0.96  %    Propositional encoding time       : 0.000
% 1.10/0.96  %    Propositional solver time         : 0.000
% 1.10/0.96  %    Success case prop preproc time    : 0.000
% 1.10/0.96  %    Success case prop encoding time   : 0.000
% 1.10/0.96  %    Success case prop solver time     : 0.000
% 1.10/0.96  % Current number of processed clauses  : 63
% 1.10/0.96  %    Positive orientable unit clauses  : 2
% 1.10/0.96  %    Positive unorientable unit clauses: 0
% 1.10/0.96  %    Negative unit clauses             : 0
% 1.10/0.96  %    Non-unit-clauses                  : 61
% 1.10/0.96  % Current number of unprocessed clauses: 0
% 1.10/0.96  % ...number of literals in the above   : 0
% 1.10/0.96  % Current number of archived formulas  : 0
% 1.10/0.96  % Current number of archived clauses   : 5
% 1.10/0.96  % Clause-clause subsumption calls (NU) : 1717
% 1.10/0.96  % Rec. Clause-clause subsumption calls : 170
% 1.10/0.96  % Non-unit clause-clause subsumptions  : 21
% 1.10/0.96  % Unit Clause-clause subsumption calls : 0
% 1.10/0.96  % Rewrite failures with RHS unbound    : 0
% 1.10/0.96  % BW rewrite match attempts            : 0
% 1.10/0.96  % BW rewrite match successes           : 0
% 1.10/0.96  % Condensation attempts                : 0
% 1.10/0.96  % Condensation successes               : 0
% 1.10/0.96  % Termbank termtop insertions          : 3907
% 1.10/0.96  % Search garbage collected termcells   : 311
% 1.10/0.96  
% 1.10/0.96  % -------------------------------------------------
% 1.10/0.96  % User time                : 0.009 s
% 1.10/0.96  % System time              : 0.004 s
% 1.10/0.96  % Total time               : 0.013 s
% 1.10/0.96  % Maximum resident set size: 3388 pages
% 1.10/0.96  
% 1.10/0.96  % -------------------------------------------------
% 1.10/0.96  % User time                : 0.022 s
% 1.10/0.96  % System time              : 0.010 s
% 1.10/0.96  % Total time               : 0.032 s
% 1.10/0.96  % Maximum resident set size: 4608 pages
% 1.10/0.96  % E exiting
%------------------------------------------------------------------------------