TSTP Solution File: SWB109_15 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWB109_15 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : Tue May 21 04:17:24 EDT 2024

% Result   : CounterSatisfiable 0.20s 0.50s
% Output   : Saturation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_9)

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

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

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

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

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

tcf(c_0_16,plain,
    ! [X1: '$ki_world',X3] :
      ( ~ male(esk3_1(X3),X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ female(X1,X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]),
    [final] ).

tcf(c_0_17,plain,
    ! [X1: '$ki_world',X3] :
      ( male(X1,X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ q2('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_18,plain,
    ! [X1: '$ki_world',X3] :
      ( '$ki_accessible'('$ki_local_world',esk3_1(X3))
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ female(X1,X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]),
    [final] ).

tcf(c_0_19,plain,
    ! [X1: '$ki_world'] :
      ( female(X1,esk6_2(bob,X1))
      | q2('$ki_local_world',bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
    [final] ).

tcf(c_0_20,plain,
    ! [X1: '$ki_world'] :
      ( female(X1,esk6_2(john,X1))
      | q2('$ki_local_world',john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_13]),
    [final] ).

tcf(c_0_21,plain,
    ! [X1: '$ki_world'] :
      ( female(X1,esk6_2(paul,X1))
      | q2('$ki_local_world',paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15]),c_0_13]),
    [final] ).

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

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

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

tcf(c_0_26,plain,
    ! [X4,X3] :
      ( ~ '$ki_exists_in_world_$i'(esk4_1(X3),X4)
      | ~ parent(esk4_1(X3),X3,X4)
      | ~ female(esk4_1(X3),X4)
      | ~ q2('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_27,plain,
    ! [X1: '$ki_world'] :
      ( parent(X1,bob,ann)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_28,plain,
    ! [X3] :
      ( '$ki_accessible'('$ki_local_world',esk4_1(X3))
      | ~ q2('$ki_local_world',X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_30,plain,
    ! [X1: '$ki_world'] :
      ( parent(X1,bob,mary)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_31,plain,
    ! [X3,X1: '$ki_world'] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ female(X1,X3)
      | ~ q2('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',esk3_1(X3))
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]),
    [final] ).

tcf(c_0_32,plain,
    ! [X1: '$ki_world'] :
      ( q2('$ki_local_world',bob)
      | '$ki_accessible'('$ki_local_world',esk3_1(esk6_2(bob,X1)))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(bob,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]),
    [final] ).

tcf(c_0_33,plain,
    ! [X3,X1: '$ki_world'] :
      ( q2('$ki_local_world',X3)
      | '$ki_accessible'('$ki_local_world',esk3_1(esk6_2(X3,X1)))
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(X3,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_13]),
    [final] ).

tcf(c_0_34,plain,
    ! [X1: '$ki_world'] :
      ( q2('$ki_local_world',john)
      | '$ki_accessible'('$ki_local_world',esk3_1(esk6_2(john,X1)))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(john,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_20]),
    [final] ).

tcf(c_0_35,plain,
    ! [X1: '$ki_world'] :
      ( q2('$ki_local_world',paul)
      | '$ki_accessible'('$ki_local_world',esk3_1(esk6_2(paul,X1)))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(paul,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_21]),
    [final] ).

tcf(c_0_37,plain,
    ! [X1: '$ki_world'] : '$ki_accessible'(X1,esk1_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_23]),
    [final] ).

tcf(c_0_41,plain,
    ! [X1: '$ki_world',X3,X2: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(X2,X3)
      | ~ '$ki_exists_in_world_$i'(X1,X3)
      | ~ '$ki_accessible'(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]),
    [final] ).

tcf(c_0_45,plain,
    ! [X1: '$ki_world',X3] :
      ( '$ki_exists_in_world_$i'(X1,esk6_2(X3,X1))
      | q2('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ male(esk5_1(X3),X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_46,plain,
    ! [X1: '$ki_world',X3] :
      ( '$ki_exists_in_world_$i'(X1,esk6_2(X3,X1))
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | q2('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_50,plain,
    ( '$ki_accessible'('$ki_local_world',esk3_1(ann))
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',ann) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]),
    [final] ).

tcf(c_0_51,plain,
    ( '$ki_accessible'('$ki_local_world',esk3_1(mary))
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',mary) ),
    inference(spm,[status(thm)],[c_0_38,c_0_37]),
    [final] ).

tcf(c_0_52,plain,
    ( '$ki_accessible'('$ki_local_world',esk3_1(jane))
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',jane) ),
    inference(spm,[status(thm)],[c_0_39,c_0_37]),
    [final] ).

tcf(c_0_53,plain,
    ( ~ '$ki_exists_in_world_$i'(esk4_1(bob),ann)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
    | ~ q2('$ki_local_world',bob) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_22]),c_0_28]),
    [final] ).

tcf(c_0_54,plain,
    ! [X4,X3] :
      ( '$ki_exists_in_world_$i'(esk4_1(X3),X4)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X4)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ q2('$ki_local_world',X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_28]),
    [final] ).

tcf(c_0_55,plain,
    ( ~ '$ki_exists_in_world_$i'(esk4_1(bob),mary)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
    | ~ q2('$ki_local_world',bob) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_24]),c_0_28]),
    [final] ).

tcf(c_0_56,plain,
    ! [X1: '$ki_world'] :
      ( parent(X1,john,paul)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_59,plain,
    ! [X4,X3,X1: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(esk3_1(esk6_2(X3,X1)),X4)
      | q2('$ki_local_world',X3)
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(X3,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X4)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_33]),
    [final] ).

tcf(c_0_60,plain,
    ! [X3,X1: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(esk3_1(esk6_2(bob,X1)),X3)
      | q2('$ki_local_world',bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(bob,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_32]),
    [final] ).

tcf(c_0_61,plain,
    ! [X3,X1: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(esk3_1(esk6_2(john,X1)),X3)
      | q2('$ki_local_world',john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(john,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_34]),
    [final] ).

tcf(c_0_62,plain,
    ! [X3,X1: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(esk3_1(esk6_2(paul,X1)),X3)
      | q2('$ki_local_world',paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(paul,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_35]),
    [final] ).

tcf(c_0_63,plain,
    ! [X1: '$ki_world'] :
      ( q2('$ki_local_world',bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(bob,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ q2('$ki_local_world',esk6_2(bob,X1))
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_19]),
    [final] ).

tcf(c_0_64,plain,
    ! [X1: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(X1,esk6_2(bob,X1))
      | q2('$ki_local_world',bob)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_12]),c_0_46]),
    [final] ).

tcf(c_0_65,plain,
    ! [X3,X1: '$ki_world'] :
      ( q2('$ki_local_world',X3)
      | '$ki_accessible'('$ki_local_world',esk5_1(X3))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(X3,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3)
      | ~ q2('$ki_local_world',esk6_2(X3,X1))
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_13]),
    [final] ).

tcf(c_0_66,plain,
    ! [X1: '$ki_world'] :
      ( q2('$ki_local_world',john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(john,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ q2('$ki_local_world',esk6_2(john,X1))
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_20]),
    [final] ).

tcf(c_0_67,plain,
    ! [X1: '$ki_world'] :
      ( q2('$ki_local_world',paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',esk6_2(paul,X1))
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ q2('$ki_local_world',esk6_2(paul,X1))
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_21]),
    [final] ).

tcf(c_0_68,plain,
    ! [X1: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(X1,esk6_2(john,X1))
      | q2('$ki_local_world',john)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_14]),c_0_46]),
    [final] ).

tcf(c_0_69,plain,
    ! [X1: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(X1,esk6_2(paul,X1))
      | q2('$ki_local_world',paul)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_15]),c_0_46]),
    [final] ).

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

tcf(c_0_71,plain,
    ! [X1: '$ki_world',X3] :
      ( parent(X1,X3,esk6_2(X3,X1))
      | q2('$ki_local_world',X3)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ male(esk5_1(X3),X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

tcf(c_0_72,plain,
    ! [X3] :
      ( '$ki_exists_in_world_$i'(esk3_1(ann),X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',ann)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_50]),
    [final] ).

tcf(c_0_73,plain,
    ! [X3] :
      ( '$ki_exists_in_world_$i'(esk3_1(mary),X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',mary)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_51]),
    [final] ).

tcf(c_0_74,plain,
    ! [X3] :
      ( '$ki_exists_in_world_$i'(esk3_1(jane),X3)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',jane)
      | ~ '$ki_exists_in_world_$i'('$ki_local_world',X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_52]),
    [final] ).

tcf(c_0_75,plain,
    ( ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',ann)
    | ~ q2('$ki_local_world',bob) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]),
    [final] ).

tcf(c_0_76,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',ann)
      | ~ q2('$ki_local_world',ann)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_50]),c_0_22]),
    [final] ).

tcf(c_0_77,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',mary)
      | ~ q2('$ki_local_world',mary)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_51]),c_0_24]),
    [final] ).

tcf(c_0_78,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',jane)
      | ~ q2('$ki_local_world',jane)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_52]),c_0_25]),
    [final] ).

tcf(c_0_79,plain,
    ( ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',mary)
    | ~ q2('$ki_local_world',bob) ),
    inference(spm,[status(thm)],[c_0_55,c_0_54]),
    [final] ).

tcf(c_0_80,plain,
    ( ~ '$ki_exists_in_world_$i'(esk4_1(john),paul)
    | ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
    | ~ female(esk4_1(john),paul)
    | ~ q2('$ki_local_world',john) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_56]),c_0_28]),
    [final] ).

tcf(c_0_81,plain,
    ! [X1: '$ki_world',X3] :
      ( '$ki_exists_in_world_$i'(esk1_1(X1),X3)
      | ~ '$ki_exists_in_world_$i'(X1,X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_37]),
    [final] ).

tcf(c_0_82,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',bob)
      | ~ female(X1,bob)
      | ~ '$ki_accessible'('$ki_local_world',esk3_1(bob))
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_12]),
    [final] ).

tcf(c_0_83,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',john)
      | ~ female(X1,john)
      | ~ '$ki_accessible'('$ki_local_world',esk3_1(john))
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_14]),
    [final] ).

tcf(c_0_84,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_exists_in_world_$i'('$ki_local_world',paul)
      | ~ female(X1,paul)
      | ~ '$ki_accessible'('$ki_local_world',esk3_1(paul))
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_15]),
    [final] ).

tcf(c_0_85,plain,
    ! [X1: '$ki_world'] :
      ( parent(X1,mary,jane)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

tcf(c_0_86,negated_conjecture,
    ( ~ q2('$ki_local_world',john)
    | ~ q2('$ki_local_world',paul) ),
    inference(split_conjunct,[status(thm)],[c_0_57]),
    [final] ).

tcf(c_0_87,plain,
    ! [X1: '$ki_world'] : '$ki_exists_in_world_$i'(X1,esk2_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_58]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWB109_15 : TPTP v8.2.0. Released v8.2.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n026.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   : Sat May 18 14:12:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21128 completed with status 1
% 0.20/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # No SInE strategy applied
% 0.20/0.50  # Search class: FGHNS-FFMF21-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.50  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.50  # Starting sh5l with 136s (1) cores
% 0.20/0.50  # SAT001_MinMin_p005000_rr_RG with pid 21132 completed with status 1
% 0.20/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # No SInE strategy applied
% 0.20/0.50  # Search class: FGHNS-FFMF21-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # No proof found!
% 0.20/0.50  # SZS status CounterSatisfiable
% 0.20/0.50  # SZS output start Saturation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 21
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.50  # Initial clauses                      : 39
% 0.20/0.50  # Removed in clause preprocessing      : 14
% 0.20/0.50  # Initial clauses in saturation        : 25
% 0.20/0.50  # Processed clauses                    : 101
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 3
% 0.20/0.50  # ...remaining for further processing  : 98
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 10
% 0.20/0.50  # Backward-rewritten                   : 0
% 0.20/0.50  # Generated clauses                    : 64
% 0.20/0.50  # ...of the previous two non-redundant : 60
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 14
% 0.20/0.50  # Paramodulations                      : 64
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 0
% 0.20/0.50  # ...of those cached                   : 0
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 63
% 0.20/0.50  #    Positive orientable unit clauses  : 2
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 0
% 0.20/0.50  #    Non-unit-clauses                  : 61
% 0.20/0.50  # Current number of unprocessed clauses: 0
% 0.20/0.50  # ...number of literals in the above   : 0
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 35
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 2081
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 202
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 27
% 0.20/0.50  # Unit Clause-clause subsumption calls : 0
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 0
% 0.20/0.50  # BW rewrite match successes           : 0
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 4743
% 0.20/0.50  # Search garbage collected termcells   : 311
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.013 s
% 0.20/0.50  # System time              : 0.001 s
% 0.20/0.50  # Total time               : 0.013 s
% 0.20/0.50  # Maximum resident set size: 1772 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.051 s
% 0.20/0.50  # System time              : 0.008 s
% 0.20/0.50  # Total time               : 0.059 s
% 0.20/0.50  # Maximum resident set size: 1716 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.50  % E exiting
%------------------------------------------------------------------------------