TSTP Solution File: SWW958+1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SWW958+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 Jun 24 18:13:09 EDT 2024

% Result   : Theorem 22.53s 4.24s
% Output   : CNFRefutation 22.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  100 (  40 unt;   0 def)
%            Number of atoms       :  195 (  26 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  178 (  83   ~;  76   |;   6   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   5 con; 0-2 aty)
%            Number of variables   :  147 (  13 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax192,axiom,
    ! [X4] : constr_add(X4,constr_ZERO) = X4,
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax192) ).

fof(ax193,axiom,
    ! [X5,X6] : constr_add(X5,X6) = constr_add(X6,X5),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax193) ).

fof(ax194,axiom,
    ! [X7,X8,X9] : constr_add(X7,constr_add(X8,X9)) = constr_add(constr_add(X7,X8),X9),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax194) ).

fof(ax191,axiom,
    ! [X3] : constr_add(X3,constr_neg(X3)) = constr_ZERO,
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax191) ).

fof(ax251,axiom,
    ! [X90,X91] :
      ( ( pred_attacker(X90)
        & pred_attacker(X91) )
     => pred_attacker(constr_add(X90,X91)) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax251) ).

fof(ax271,axiom,
    ! [X98,X99] :
      ( ( pred_attacker(tuple_client_A_in_2(X98))
        & pred_attacker(tuple_client_A_in_1(X99)) )
     => pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X99))) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax271) ).

fof(ax245,axiom,
    ! [X82] :
      ( pred_attacker(X82)
     => pred_attacker(tuple_client_A_in_2(X82)) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax245) ).

fof(ax272,axiom,
    ! [X100,X101,X102] :
      ( ( pred_attacker(tuple_client_A_in_4(X101,X100))
        & pred_attacker(tuple_client_A_in_2(X101))
        & pred_attacker(tuple_client_A_in_1(X102)) )
     => pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X100,name_skA),constr_neg(name_Na)))) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax272) ).

fof(ax242,axiom,
    ! [X76,X77] :
      ( ( pred_attacker(X76)
        & pred_attacker(X77) )
     => pred_attacker(tuple_client_A_in_4(X76,X77)) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax242) ).

fof(ax246,axiom,
    ! [X83] :
      ( pred_attacker(tuple_client_A_in_2(X83))
     => pred_attacker(X83) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax246) ).

fof(ax205,axiom,
    ! [X19] :
      ( pred_attacker(X19)
     => pred_attacker(constr_neg(X19)) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax205) ).

fof(ax266,axiom,
    ! [X97] : pred_attacker(name_new0x2Dname(X97)),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax266) ).

fof(ax250,axiom,
    ! [X88,X89] :
      ( ( pred_attacker(X88)
        & pred_attacker(X89) )
     => pred_attacker(constr_adec(X88,X89)) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax250) ).

fof(ax190,axiom,
    ! [X1,X2] : constr_adec(constr_aenc(X2,constr_pkey(X1)),X1) = X2,
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax190) ).

fof(ax241,axiom,
    ! [X74,X75] :
      ( pred_attacker(tuple_client_A_out_3(X74,X75))
     => pred_attacker(X75) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax241) ).

fof(ax247,axiom,
    ! [X84] :
      ( pred_attacker(X84)
     => pred_attacker(tuple_client_A_in_1(X84)) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax247) ).

fof(ax196,axiom,
    ! [X10] :
      ( pred_attacker(X10)
     => pred_attacker(constr_pkey(X10)) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax196) ).

fof(co0,conjecture,
    pred_attacker(name_Sa),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',co0) ).

fof(ax238,axiom,
    ! [X69] :
      ( pred_attacker(tuple_client_A_out_5(X69))
     => pred_attacker(X69) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax238) ).

fof(ax204,axiom,
    ! [X18] :
      ( pred_attacker(tuple_out_1(X18))
     => pred_attacker(X18) ),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax204) ).

fof(ax267,axiom,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    file('/export/starexec/sandbox/tmp/tmp.HT3kS98kXF/E---3.1_22143.p',ax267) ).

fof(c_0_21,plain,
    ! [X115] : constr_add(X115,constr_ZERO) = X115,
    inference(variable_rename,[status(thm)],[ax192]) ).

fof(c_0_22,plain,
    ! [X116,X117] : constr_add(X116,X117) = constr_add(X117,X116),
    inference(variable_rename,[status(thm)],[ax193]) ).

fof(c_0_23,plain,
    ! [X118,X119,X120] : constr_add(X118,constr_add(X119,X120)) = constr_add(constr_add(X118,X119),X120),
    inference(variable_rename,[status(thm)],[ax194]) ).

fof(c_0_24,plain,
    ! [X114] : constr_add(X114,constr_neg(X114)) = constr_ZERO,
    inference(variable_rename,[status(thm)],[ax191]) ).

cnf(c_0_25,plain,
    constr_add(X1,constr_ZERO) = X1,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    constr_add(X1,X2) = constr_add(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,plain,
    constr_add(X1,constr_add(X2,X3)) = constr_add(constr_add(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,plain,
    constr_add(X1,constr_neg(X1)) = constr_ZERO,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,plain,
    constr_add(constr_ZERO,X1) = X1,
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,plain,
    constr_add(X1,constr_add(constr_neg(X1),X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_31,plain,
    constr_neg(constr_neg(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_25]) ).

fof(c_0_32,plain,
    ! [X201,X202] :
      ( ~ pred_attacker(X201)
      | ~ pred_attacker(X202)
      | pred_attacker(constr_add(X201,X202)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax251])])]) ).

cnf(c_0_33,plain,
    constr_add(constr_neg(X1),constr_add(X1,X2)) = X2,
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    constr_add(X1,constr_add(X2,constr_neg(constr_add(X1,X2)))) = constr_ZERO,
    inference(spm,[status(thm)],[c_0_28,c_0_27]) ).

fof(c_0_35,plain,
    ! [X209,X210] :
      ( ~ pred_attacker(tuple_client_A_in_2(X209))
      | ~ pred_attacker(tuple_client_A_in_1(X210))
      | pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X210))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax271])])]) ).

fof(c_0_36,plain,
    ! [X193] :
      ( ~ pred_attacker(X193)
      | pred_attacker(tuple_client_A_in_2(X193)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax245])])]) ).

fof(c_0_37,plain,
    ! [X211,X212,X213] :
      ( ~ pred_attacker(tuple_client_A_in_4(X212,X211))
      | ~ pred_attacker(tuple_client_A_in_2(X212))
      | ~ pred_attacker(tuple_client_A_in_1(X213))
      | pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X211,name_skA),constr_neg(name_Na)))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax272])])]) ).

fof(c_0_38,plain,
    ! [X187,X188] :
      ( ~ pred_attacker(X187)
      | ~ pred_attacker(X188)
      | pred_attacker(tuple_client_A_in_4(X187,X188)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax242])])]) ).

fof(c_0_39,plain,
    ! [X194] :
      ( ~ pred_attacker(tuple_client_A_in_2(X194))
      | pred_attacker(X194) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax246])])]) ).

cnf(c_0_40,plain,
    ( pred_attacker(constr_add(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,plain,
    constr_add(X1,constr_neg(constr_add(X2,X1))) = constr_neg(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]) ).

fof(c_0_42,plain,
    ! [X130] :
      ( ~ pred_attacker(X130)
      | pred_attacker(constr_neg(X130)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax205])])]) ).

cnf(c_0_43,plain,
    constr_add(X1,constr_add(X2,constr_neg(X1))) = X2,
    inference(spm,[status(thm)],[c_0_30,c_0_26]) ).

cnf(c_0_44,plain,
    ( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X2)))
    | ~ pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(tuple_client_A_in_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_45,plain,
    ( pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_46,plain,
    ! [X208] : pred_attacker(name_new0x2Dname(X208)),
    inference(variable_rename,[status(thm)],[ax266]) ).

cnf(c_0_47,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X2,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(tuple_client_A_in_4(X1,X2))
    | ~ pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(tuple_client_A_in_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_48,plain,
    ( pred_attacker(tuple_client_A_in_4(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_49,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_50,plain,
    ( pred_attacker(constr_neg(X1))
    | ~ pred_attacker(constr_neg(constr_add(X1,X2)))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_51,plain,
    ( pred_attacker(constr_neg(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,plain,
    constr_add(constr_neg(X1),constr_add(X2,X1)) = X2,
    inference(spm,[status(thm)],[c_0_43,c_0_31]) ).

fof(c_0_53,plain,
    ! [X199,X200] :
      ( ~ pred_attacker(X199)
      | ~ pred_attacker(X200)
      | pred_attacker(constr_adec(X199,X200)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax250])])]) ).

fof(c_0_54,plain,
    ! [X112,X113] : constr_adec(constr_aenc(X113,constr_pkey(X112)),X112) = X113,
    inference(variable_rename,[status(thm)],[ax190]) ).

fof(c_0_55,plain,
    ! [X185,X186] :
      ( ~ pred_attacker(tuple_client_A_out_3(X185,X186))
      | pred_attacker(X186) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax241])])]) ).

cnf(c_0_56,plain,
    ( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
    | ~ pred_attacker(tuple_client_A_in_1(X1))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_57,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_58,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(tuple_client_A_in_2(X2))
    | ~ pred_attacker(tuple_client_A_in_1(X3))
    | ~ pred_attacker(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

fof(c_0_59,plain,
    ! [X195] :
      ( ~ pred_attacker(X195)
      | pred_attacker(tuple_client_A_in_1(X195)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax247])])]) ).

cnf(c_0_60,plain,
    ( pred_attacker(constr_neg(X1))
    | ~ pred_attacker(constr_add(X1,X2))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_61,plain,
    constr_add(constr_neg(X1),constr_neg(X2)) = constr_neg(constr_add(X2,X1)),
    inference(spm,[status(thm)],[c_0_33,c_0_41]) ).

cnf(c_0_62,plain,
    constr_add(X1,constr_neg(constr_add(X1,X2))) = constr_neg(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_52]),c_0_26]) ).

cnf(c_0_63,plain,
    ( pred_attacker(constr_adec(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_64,plain,
    constr_adec(constr_aenc(X1,constr_pkey(X2)),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_65,plain,
    ( pred_attacker(X2)
    | ~ pred_attacker(tuple_client_A_out_3(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_66,plain,
    ( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
    | ~ pred_attacker(tuple_client_A_in_1(X1)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_67,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(tuple_client_A_in_1(X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_45]) ).

cnf(c_0_68,plain,
    ( pred_attacker(tuple_client_A_in_1(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_69,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_neg(constr_add(X2,X1)))
    | ~ pred_attacker(constr_neg(X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_31]) ).

cnf(c_0_70,plain,
    constr_neg(constr_add(constr_neg(X1),X2)) = constr_add(X1,constr_neg(X2)),
    inference(spm,[status(thm)],[c_0_30,c_0_62]) ).

cnf(c_0_71,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_aenc(X1,constr_pkey(X2)))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_72,plain,
    ( pred_attacker(constr_aenc(constr_add(name_Na,name_Sa),X1))
    | ~ pred_attacker(tuple_client_A_in_1(X1)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_73,plain,
    ! [X121] :
      ( ~ pred_attacker(X121)
      | pred_attacker(constr_pkey(X121)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax196])])]) ).

cnf(c_0_74,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_75,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_add(X2,constr_neg(X1)))
    | ~ pred_attacker(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_31]) ).

cnf(c_0_76,plain,
    ( pred_attacker(constr_add(name_Na,name_Sa))
    | ~ pred_attacker(tuple_client_A_in_1(constr_pkey(X1)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_77,plain,
    ( pred_attacker(constr_pkey(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

fof(c_0_78,negated_conjecture,
    ~ pred_attacker(name_Sa),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).

fof(c_0_79,plain,
    ! [X180] :
      ( ~ pred_attacker(tuple_client_A_out_5(X180))
      | pred_attacker(X180) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax238])])]) ).

cnf(c_0_80,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_74,c_0_57]) ).

cnf(c_0_81,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_add(constr_neg(X1),X2))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_26]) ).

cnf(c_0_82,plain,
    ( pred_attacker(constr_add(name_Na,name_Sa))
    | ~ pred_attacker(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_68]),c_0_77]) ).

fof(c_0_83,negated_conjecture,
    ~ pred_attacker(name_Sa),
    inference(fof_nnf,[status(thm)],[c_0_78]) ).

cnf(c_0_84,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_out_5(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_85,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_57]) ).

cnf(c_0_86,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_add(X2,X1))
    | ~ pred_attacker(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_43]),c_0_31]) ).

cnf(c_0_87,plain,
    pred_attacker(constr_add(name_Na,name_Sa)),
    inference(spm,[status(thm)],[c_0_82,c_0_57]) ).

cnf(c_0_88,negated_conjecture,
    ~ pred_attacker(name_Sa),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_89,plain,
    ( pred_attacker(constr_neg(X1))
    | ~ pred_attacker(constr_add(X2,X1))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_26]) ).

cnf(c_0_90,plain,
    ( pred_attacker(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_91,plain,
    ~ pred_attacker(name_Na),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_92,plain,
    ( ~ pred_attacker(constr_adec(X1,name_skA))
    | ~ pred_attacker(X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_31]),c_0_91]) ).

fof(c_0_93,plain,
    ! [X129] :
      ( ~ pred_attacker(tuple_out_1(X129))
      | pred_attacker(X129) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax204])])]) ).

cnf(c_0_94,plain,
    ( ~ pred_attacker(constr_aenc(X1,constr_pkey(name_skA)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_64]) ).

cnf(c_0_95,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_out_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_96,plain,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    inference(split_conjunct,[status(thm)],[ax267]) ).

cnf(c_0_97,plain,
    ~ pred_attacker(tuple_client_A_in_1(constr_pkey(name_skA))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_72]),c_0_87])]) ).

cnf(c_0_98,plain,
    pred_attacker(constr_pkey(name_skA)),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_99,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_68]),c_0_98])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW958+1 : TPTP v8.2.0. Released v7.4.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Wed Jun 19 08:25:39 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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/tmp/tmp.HT3kS98kXF/E---3.1_22143.p
% 22.53/4.24  # Version: 3.2.0
% 22.53/4.24  # Preprocessing class: FSLSSMSMSSSNFFN.
% 22.53/4.24  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.53/4.24  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 22.53/4.24  # Starting new_bool_3 with 300s (1) cores
% 22.53/4.24  # Starting new_bool_1 with 300s (1) cores
% 22.53/4.24  # Starting sh5l with 300s (1) cores
% 22.53/4.24  # new_bool_1 with pid 22231 completed with status 8
% 22.53/4.24  # new_bool_3 with pid 22230 completed with status 8
% 22.53/4.24  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 22229 completed with status 0
% 22.53/4.24  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 22.53/4.24  # Preprocessing class: FSLSSMSMSSSNFFN.
% 22.53/4.24  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.53/4.24  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 22.53/4.24  # No SInE strategy applied
% 22.53/4.24  # Search class: FHUSM-FFMM21-MFFFFFNN
% 22.53/4.24  # partial match(1): FHUSM-FFMF21-MFFFFFNN
% 22.53/4.24  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 22.53/4.24  # Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with 797s (1) cores
% 22.53/4.24  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 22.53/4.24  # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 22.53/4.24  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 22.53/4.24  # Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 22.53/4.24  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 22242 completed with status 0
% 22.53/4.24  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 22.53/4.24  # Preprocessing class: FSLSSMSMSSSNFFN.
% 22.53/4.24  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.53/4.24  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 22.53/4.24  # No SInE strategy applied
% 22.53/4.24  # Search class: FHUSM-FFMM21-MFFFFFNN
% 22.53/4.24  # partial match(1): FHUSM-FFMF21-MFFFFFNN
% 22.53/4.24  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 22.53/4.24  # Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with 797s (1) cores
% 22.53/4.24  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 22.53/4.24  # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 22.53/4.24  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 22.53/4.24  # Preprocessing time       : 0.003 s
% 22.53/4.24  # Presaturation interreduction done
% 22.53/4.24  
% 22.53/4.24  # Proof found!
% 22.53/4.24  # SZS status Theorem
% 22.53/4.24  # SZS output start CNFRefutation
% See solution above
% 22.53/4.24  # Parsed axioms                        : 277
% 22.53/4.24  # Removed by relevancy pruning/SinE    : 0
% 22.53/4.24  # Initial clauses                      : 277
% 22.53/4.24  # Removed in clause preprocessing      : 0
% 22.53/4.24  # Initial clauses in saturation        : 277
% 22.53/4.24  # Processed clauses                    : 32284
% 22.53/4.24  # ...of these trivial                  : 4693
% 22.53/4.24  # ...subsumed                          : 25334
% 22.53/4.24  # ...remaining for further processing  : 2257
% 22.53/4.24  # Other redundant clauses eliminated   : 0
% 22.53/4.24  # Clauses deleted for lack of memory   : 0
% 22.53/4.24  # Backward-subsumed                    : 29
% 22.53/4.24  # Backward-rewritten                   : 29
% 22.53/4.24  # Generated clauses                    : 332534
% 22.53/4.24  # ...of the previous two non-redundant : 319673
% 22.53/4.24  # ...aggressively subsumed             : 0
% 22.53/4.24  # Contextual simplify-reflections      : 5
% 22.53/4.24  # Paramodulations                      : 332534
% 22.53/4.24  # Factorizations                       : 0
% 22.53/4.24  # NegExts                              : 0
% 22.53/4.24  # Equation resolutions                 : 0
% 22.53/4.24  # Disequality decompositions           : 0
% 22.53/4.24  # Total rewrite steps                  : 562645
% 22.53/4.24  # ...of those cached                   : 496829
% 22.53/4.24  # Propositional unsat checks           : 0
% 22.53/4.24  #    Propositional check models        : 0
% 22.53/4.24  #    Propositional check unsatisfiable : 0
% 22.53/4.24  #    Propositional clauses             : 0
% 22.53/4.24  #    Propositional clauses after purity: 0
% 22.53/4.24  #    Propositional unsat core size     : 0
% 22.53/4.24  #    Propositional preprocessing time  : 0.000
% 22.53/4.24  #    Propositional encoding time       : 0.000
% 22.53/4.24  #    Propositional solver time         : 0.000
% 22.53/4.24  #    Success case prop preproc time    : 0.000
% 22.53/4.24  #    Success case prop encoding time   : 0.000
% 22.53/4.24  #    Success case prop solver time     : 0.000
% 22.53/4.24  # Current number of processed clauses  : 1922
% 22.53/4.24  #    Positive orientable unit clauses  : 113
% 22.53/4.24  #    Positive unorientable unit clauses: 4
% 22.53/4.24  #    Negative unit clauses             : 195
% 22.53/4.24  #    Non-unit-clauses                  : 1610
% 22.53/4.24  # Current number of unprocessed clauses: 286251
% 22.53/4.24  # ...number of literals in the above   : 1090355
% 22.53/4.24  # Current number of archived formulas  : 0
% 22.53/4.24  # Current number of archived clauses   : 335
% 22.53/4.24  # Clause-clause subsumption calls (NU) : 5321023
% 22.53/4.24  # Rec. Clause-clause subsumption calls : 1494830
% 22.53/4.24  # Non-unit clause-clause subsumptions  : 18473
% 22.53/4.24  # Unit Clause-clause subsumption calls : 4168
% 22.53/4.24  # Rewrite failures with RHS unbound    : 0
% 22.53/4.24  # BW rewrite match attempts            : 1971
% 22.53/4.24  # BW rewrite match successes           : 71
% 22.53/4.24  # Condensation attempts                : 0
% 22.53/4.24  # Condensation successes               : 0
% 22.53/4.24  # Termbank termtop insertions          : 5957343
% 22.53/4.24  # Search garbage collected termcells   : 1572
% 22.53/4.24  
% 22.53/4.24  # -------------------------------------------------
% 22.53/4.24  # User time                : 3.514 s
% 22.53/4.24  # System time              : 0.143 s
% 22.53/4.24  # Total time               : 3.657 s
% 22.53/4.24  # Maximum resident set size: 2364 pages
% 22.53/4.24  
% 22.53/4.24  # -------------------------------------------------
% 22.53/4.24  # User time                : 17.885 s
% 22.53/4.24  # System time              : 0.785 s
% 22.53/4.24  # Total time               : 18.670 s
% 22.53/4.24  # Maximum resident set size: 1900 pages
% 22.53/4.24  % E---3.1 exiting
% 22.53/4.24  % E exiting
%------------------------------------------------------------------------------