TSTP Solution File: SWV198+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV198+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n015.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 : Wed Jul 20 18:15:33 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   80 (  45 unt;   0 def)
%            Number of atoms       :  340 ( 179 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  337 (  77   ~;  87   |; 156   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  18 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0009,conjecture,
    ( ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n0)
      & leq(pv5,n998)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n2)
            & leq(X18,pred(pv5)) )
         => a_select3(u_defuse,X14,X18) = use )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,pred(pv5)) )
         => a_select3(z_defuse,X4,X20) = use ) )
   => ! [X21,X22] :
        ( ( leq(n0,X21)
          & leq(n0,X22)
          & leq(X21,n2)
          & leq(X22,pv5) )
       => a_select3(u_defuse,X21,X22) = use ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_inuse_0009) ).

fof(succ_plus_1_r,axiom,
    ! [X1] : plus(X1,n1) = succ(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).

fof(finite_domain_0,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n0) )
     => X1 = n0 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',finite_domain_0) ).

fof(successor_2,axiom,
    succ(succ(n0)) = n2,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_2) ).

fof(successor_1,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_1) ).

fof(leq_succ,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
     => leq(X1,succ(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).

fof(successor_3,axiom,
    succ(succ(succ(n0))) = n3,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',successor_3) ).

fof(transitivity_leq,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

fof(finite_domain_3,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n3) )
     => ( X1 = n0
        | X1 = n1
        | X1 = n2
        | X1 = n3 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',finite_domain_3) ).

fof(leq_succ_gt,axiom,
    ! [X1,X2] :
      ( leq(succ(X1),X2)
     => gt(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).

fof(irreflexivity_gt,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

fof(c_0_11,plain,
    ( epred1_0
  <=> ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n0)
      & leq(pv5,n998)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n2)
            & leq(X18,pred(pv5)) )
         => a_select3(u_defuse,X14,X18) = use )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,pred(pv5)) )
         => a_select3(z_defuse,X4,X20) = use ) ) ),
    introduced(definition) ).

fof(c_0_12,plain,
    ( epred1_0
   => ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n0)
      & leq(pv5,n998)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n2)
            & leq(X18,pred(pv5)) )
         => a_select3(u_defuse,X14,X18) = use )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,pred(pv5)) )
         => a_select3(z_defuse,X4,X20) = use ) ) ),
    inference(split_equiv,[status(thm)],[c_0_11]) ).

fof(c_0_13,negated_conjecture,
    ~ ( epred1_0
     => ! [X21,X22] :
          ( ( leq(n0,X21)
            & leq(n0,X22)
            & leq(X21,n2)
            & leq(X22,pv5) )
         => a_select3(u_defuse,X21,X22) = use ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0009]),c_0_11]) ).

fof(c_0_14,plain,
    ! [X21,X22,X23,X24] :
      ( ( a_select2(rho_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n0,n0) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n1,n0) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n2,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n5) = use
        | ~ epred1_0 )
      & ( leq(n0,pv5)
        | ~ epred1_0 )
      & ( leq(pv5,n0)
        | ~ epred1_0 )
      & ( leq(pv5,n998)
        | ~ epred1_0 )
      & ( ~ leq(n0,X21)
        | ~ leq(n0,X22)
        | ~ leq(X21,n2)
        | ~ leq(X22,pred(pv5))
        | a_select3(u_defuse,X21,X22) = use
        | ~ epred1_0 )
      & ( ~ leq(n0,X23)
        | ~ leq(n0,X24)
        | ~ leq(X23,n2)
        | ~ leq(X24,pred(pv5))
        | a_select3(z_defuse,X23,X24) = use
        | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])]) ).

fof(c_0_15,negated_conjecture,
    ( epred1_0
    & leq(n0,esk1_0)
    & leq(n0,esk2_0)
    & leq(esk1_0,n2)
    & leq(esk2_0,pv5)
    & a_select3(u_defuse,esk1_0,esk2_0) != use ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

fof(c_0_16,plain,
    ! [X2] : plus(X2,n1) = succ(X2),
    inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).

fof(c_0_17,plain,
    ! [X2] :
      ( ~ leq(n0,X2)
      | ~ leq(X2,n0)
      | X2 = n0 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])]) ).

cnf(c_0_18,plain,
    ( leq(pv5,n0)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( leq(n0,pv5)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    succ(succ(n0)) = n2,
    inference(split_conjunct,[status(thm)],[successor_2]) ).

cnf(c_0_22,plain,
    plus(X1,n1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[successor_1]) ).

cnf(c_0_24,plain,
    ( X1 = n0
    | ~ leq(X1,n0)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    leq(pv5,n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

cnf(c_0_26,plain,
    leq(n0,pv5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_19])]) ).

fof(c_0_27,plain,
    ! [X3,X4] :
      ( ~ leq(X3,X4)
      | leq(X3,succ(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).

cnf(c_0_28,plain,
    succ(succ(succ(n0))) = n3,
    inference(split_conjunct,[status(thm)],[successor_3]) ).

cnf(c_0_29,plain,
    plus(plus(n0,n1),n1) = n2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).

cnf(c_0_30,plain,
    plus(n0,n1) = n1,
    inference(rw,[status(thm)],[c_0_23,c_0_22]) ).

cnf(c_0_31,plain,
    n0 = pv5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_32,negated_conjecture,
    leq(n0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_33,plain,
    ( leq(X1,succ(X2))
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    plus(plus(plus(n0,n1),n1),n1) = n3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_22]),c_0_22]),c_0_22]) ).

cnf(c_0_35,plain,
    plus(n1,n1) = n2,
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_36,plain,
    ! [X4,X5,X6] :
      ( ~ leq(X4,X5)
      | ~ leq(X5,X6)
      | leq(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).

cnf(c_0_37,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_38,plain,
    ( a_select3(u_defuse,n1,n0) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_39,plain,
    ! [X2] :
      ( ~ leq(n0,X2)
      | ~ leq(X2,n3)
      | X2 = n0
      | X2 = n1
      | X2 = n2
      | X2 = n3 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_3])]) ).

cnf(c_0_40,plain,
    ( X1 = pv5
    | ~ leq(X1,pv5)
    | ~ leq(pv5,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_31]),c_0_31]),c_0_31]) ).

cnf(c_0_41,negated_conjecture,
    leq(esk2_0,pv5),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_42,negated_conjecture,
    leq(pv5,esk2_0),
    inference(rw,[status(thm)],[c_0_32,c_0_31]) ).

cnf(c_0_43,plain,
    ( leq(X1,plus(X2,n1))
    | ~ leq(X1,X2) ),
    inference(rw,[status(thm)],[c_0_33,c_0_22]) ).

cnf(c_0_44,plain,
    plus(n2,n1) = n3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_30]),c_0_35]) ).

cnf(c_0_45,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    leq(pv5,esk1_0),
    inference(rw,[status(thm)],[c_0_37,c_0_31]) ).

fof(c_0_47,plain,
    ! [X3,X4] :
      ( ~ leq(succ(X3),X4)
      | gt(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).

cnf(c_0_48,plain,
    ( a_select3(u_defuse,n2,n0) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_49,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_19])]) ).

cnf(c_0_50,plain,
    ( X1 = n3
    | X1 = n2
    | X1 = n1
    | X1 = n0
    | ~ leq(X1,n3)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_51,negated_conjecture,
    pv5 = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_52,plain,
    ( leq(X1,n3)
    | ~ leq(X1,n2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    leq(esk1_0,n2),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_54,negated_conjecture,
    ( leq(X1,esk1_0)
    | ~ leq(X1,pv5) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_55,plain,
    ! [X2] : ~ gt(X2,X2),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[irreflexivity_gt])]) ).

cnf(c_0_56,plain,
    ( gt(X1,X2)
    | ~ leq(succ(X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_19])]) ).

cnf(c_0_58,plain,
    a_select3(u_defuse,n1,pv5) = use,
    inference(rw,[status(thm)],[c_0_49,c_0_31]) ).

cnf(c_0_59,plain,
    ( X1 = esk2_0
    | X1 = n1
    | X1 = n2
    | X1 = n3
    | ~ leq(X1,n3)
    | ~ leq(esk2_0,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_31]),c_0_31]),c_0_51]),c_0_51]) ).

cnf(c_0_60,negated_conjecture,
    leq(esk1_0,n3),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    leq(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_54,c_0_41]) ).

cnf(c_0_62,plain,
    ( a_select3(u_defuse,n0,n0) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_63,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_64,plain,
    ( gt(X1,X2)
    | ~ leq(plus(X2,n1),X1) ),
    inference(rw,[status(thm)],[c_0_56,c_0_22]) ).

cnf(c_0_65,plain,
    a_select3(u_defuse,n2,pv5) = use,
    inference(rw,[status(thm)],[c_0_57,c_0_31]) ).

cnf(c_0_66,plain,
    a_select3(u_defuse,n1,esk2_0) = use,
    inference(rw,[status(thm)],[c_0_58,c_0_51]) ).

cnf(c_0_67,negated_conjecture,
    ( n3 = esk1_0
    | n2 = esk1_0
    | n1 = esk1_0
    | esk2_0 = esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_68,negated_conjecture,
    a_select3(u_defuse,esk1_0,esk2_0) != use,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_69,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_19])]) ).

cnf(c_0_70,plain,
    ~ leq(plus(X1,n1),X1),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,plain,
    a_select3(u_defuse,n2,esk2_0) = use,
    inference(rw,[status(thm)],[c_0_65,c_0_51]) ).

cnf(c_0_72,plain,
    ( esk2_0 = esk1_0
    | n2 = esk1_0
    | n3 = esk1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_73,plain,
    a_select3(u_defuse,pv5,pv5) = use,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_31]),c_0_31]) ).

cnf(c_0_74,plain,
    ~ leq(n3,n2),
    inference(spm,[status(thm)],[c_0_70,c_0_44]) ).

cnf(c_0_75,plain,
    ( n3 = esk1_0
    | esk2_0 = esk1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_68]) ).

cnf(c_0_76,plain,
    a_select3(u_defuse,esk2_0,esk2_0) = use,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_51]),c_0_51]) ).

cnf(c_0_77,plain,
    esk2_0 = esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_53])]) ).

cnf(c_0_78,plain,
    a_select3(u_defuse,esk1_0,esk1_0) = use,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77]),c_0_77]) ).

cnf(c_0_79,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_77]),c_0_78])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV198+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 15:44:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.019 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 80
% 0.24/1.42  # Proof object clause steps            : 57
% 0.24/1.42  # Proof object formula steps           : 23
% 0.24/1.42  # Proof object conjectures             : 17
% 0.24/1.42  # Proof object clause conjectures      : 14
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 21
% 0.24/1.42  # Proof object initial formulas used   : 11
% 0.24/1.42  # Proof object generating inferences   : 12
% 0.24/1.42  # Proof object simplifying inferences  : 53
% 0.24/1.43  # Training examples: 0 positive, 0 negative
% 0.24/1.43  # Parsed axioms                        : 92
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 26
% 0.24/1.43  # Initial clauses                      : 106
% 0.24/1.43  # Removed in clause preprocessing      : 1
% 0.24/1.43  # Initial clauses in saturation        : 105
% 0.24/1.43  # Processed clauses                    : 1534
% 0.24/1.43  # ...of these trivial                  : 91
% 0.24/1.43  # ...subsumed                          : 776
% 0.24/1.43  # ...remaining for further processing  : 666
% 0.24/1.43  # Other redundant clauses eliminated   : 0
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 44
% 0.24/1.43  # Backward-rewritten                   : 233
% 0.24/1.43  # Generated clauses                    : 5507
% 0.24/1.43  # ...of the previous two non-trivial   : 3942
% 0.24/1.43  # Contextual simplify-reflections      : 34
% 0.24/1.43  # Paramodulations                      : 5501
% 0.24/1.43  # Factorizations                       : 4
% 0.24/1.43  # Equation resolutions                 : 0
% 0.24/1.43  # Current number of processed clauses  : 387
% 0.24/1.43  #    Positive orientable unit clauses  : 171
% 0.24/1.43  #    Positive unorientable unit clauses: 5
% 0.24/1.43  #    Negative unit clauses             : 65
% 0.24/1.43  #    Non-unit-clauses                  : 146
% 0.24/1.43  # Current number of unprocessed clauses: 1501
% 0.24/1.43  # ...number of literals in the above   : 3384
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 280
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 4618
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 4062
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 291
% 0.24/1.43  # Unit Clause-clause subsumption calls : 3641
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 82
% 0.24/1.43  # BW rewrite match successes           : 73
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 48244
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.114 s
% 0.24/1.43  # System time              : 0.004 s
% 0.24/1.43  # Total time               : 0.118 s
% 0.24/1.43  # Maximum resident set size: 5880 pages
%------------------------------------------------------------------------------