↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV205+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 02:53:57 PM UTC 2026

% Result   : Theorem 0.15s 0.48s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   33 (  12 unt;   0 def)
%            Number of atoms       :  298 ( 201 equ)
%            Maximal formula atoms :   66 (   9 avg)
%            Number of connectives :  316 (  51   ~;  77   |; 171   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-3 aty)
%            Number of variables   :   26 (   0 sgn  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0016,conjecture,
    ( ( ! [X4,X20] :
          ( ( leq(X20,n998)
            & leq(X4,n2)
            & leq(n0,X20)
            & leq(n0,X4) )
         => a_select3(z_defuse,X4,X20) = use )
      & ! [X14,X18] :
          ( ( leq(X18,n998)
            & leq(X14,n2)
            & leq(n0,X18)
            & leq(n0,X14) )
         => a_select3(u_defuse,X14,X18) = use )
      & a_select2(xinit_noise_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n0) = use )
   => ! [X21] :
        ( ( leq(X21,n5)
          & leq(n0,X21) )
       => a_select2(sigma_defuse,X21) = use ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0016) ).

fof(finite_domain_5,axiom,
    ! [X1] :
      ( ( leq(X1,n5)
        & leq(n0,X1) )
     => ( X1 = n5
        | X1 = n4
        | X1 = n3
        | X1 = n2
        | X1 = n1
        | X1 = n0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).

fof(c_0_2,negated_conjecture,
    ~ ( ( ! [X4,X20] :
            ( ( leq(X20,n998)
              & leq(X4,n2)
              & leq(n0,X20)
              & leq(n0,X4) )
           => a_select3(z_defuse,X4,X20) = use )
        & ! [X14,X18] :
            ( ( leq(X18,n998)
              & leq(X14,n2)
              & leq(n0,X18)
              & leq(n0,X14) )
           => a_select3(u_defuse,X14,X18) = use )
        & a_select2(xinit_noise_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n0) = use )
     => ! [X21] :
          ( ( leq(X21,n5)
            & leq(n0,X21) )
         => a_select2(sigma_defuse,X21) = use ) ),
    inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0016]) ).

fof(c_0_3,plain,
    ( epred2_0
  <=> ( ! [X4,X20] :
          ( ( leq(X20,n998)
            & leq(X4,n2)
            & leq(n0,X20)
            & leq(n0,X4) )
         => a_select3(z_defuse,X4,X20) = use )
      & ! [X14,X18] :
          ( ( leq(X18,n998)
            & leq(X14,n2)
            & leq(n0,X18)
            & leq(n0,X14) )
         => a_select3(u_defuse,X14,X18) = use )
      & a_select2(xinit_noise_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n0) = use ) ),
    introduced(definition) ).

fof(c_0_4,negated_conjecture,
    ~ ( epred2_0
     => ! [X21] :
          ( ( leq(X21,n5)
            & leq(n0,X21) )
         => a_select2(sigma_defuse,X21) = use ) ),
    inference(apply_def,[status(thm)],[c_0_2,c_0_3]) ).

fof(c_0_5,plain,
    ( epred2_0
   => ( ! [X4,X20] :
          ( ( leq(X20,n998)
            & leq(X4,n2)
            & leq(n0,X20)
            & leq(n0,X4) )
         => a_select3(z_defuse,X4,X20) = use )
      & ! [X14,X18] :
          ( ( leq(X18,n998)
            & leq(X14,n2)
            & leq(n0,X18)
            & leq(n0,X14) )
         => a_select3(u_defuse,X14,X18) = use )
      & a_select2(xinit_noise_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n0) = use ) ),
    inference(split_equiv,[status(thm)],[c_0_3]) ).

fof(c_0_6,plain,
    ! [X188] :
      ( X188 = n5
      | X188 = n4
      | X188 = n3
      | X188 = n2
      | X188 = n1
      | X188 = n0
      | ~ leq(X188,n5)
      | ~ leq(n0,X188) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_5])])]) ).

fof(c_0_7,negated_conjecture,
    ( a_select2(sigma_defuse,esk24_0) != use
    & leq(esk24_0,n5)
    & leq(n0,esk24_0)
    & epred2_0 ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

fof(c_0_8,plain,
    ! [X201,X202,X203,X204] :
      ( ( ~ epred2_0
        | a_select3(z_defuse,X203,X204) = use
        | ~ leq(X204,n998)
        | ~ leq(X203,n2)
        | ~ leq(n0,X204)
        | ~ leq(n0,X203) )
      & ( ~ epred2_0
        | a_select3(u_defuse,X201,X202) = use
        | ~ leq(X202,n998)
        | ~ leq(X201,n2)
        | ~ leq(n0,X202)
        | ~ leq(n0,X201) )
      & ( ~ epred2_0
        | a_select2(xinit_noise_defuse,n5) = use )
      & ( ~ epred2_0
        | a_select2(xinit_noise_defuse,n4) = use )
      & ( ~ epred2_0
        | a_select2(xinit_noise_defuse,n3) = use )
      & ( ~ epred2_0
        | a_select2(xinit_noise_defuse,n2) = use )
      & ( ~ epred2_0
        | a_select2(xinit_noise_defuse,n1) = use )
      & ( ~ epred2_0
        | a_select2(xinit_noise_defuse,n0) = use )
      & ( ~ epred2_0
        | a_select2(xinit_mean_defuse,n5) = use )
      & ( ~ epred2_0
        | a_select2(xinit_mean_defuse,n4) = use )
      & ( ~ epred2_0
        | a_select2(xinit_mean_defuse,n3) = use )
      & ( ~ epred2_0
        | a_select2(xinit_mean_defuse,n2) = use )
      & ( ~ epred2_0
        | a_select2(xinit_mean_defuse,n1) = use )
      & ( ~ epred2_0
        | a_select2(xinit_mean_defuse,n0) = use )
      & ( ~ epred2_0
        | a_select2(xinit_defuse,n5) = use )
      & ( ~ epred2_0
        | a_select2(xinit_defuse,n4) = use )
      & ( ~ epred2_0
        | a_select2(xinit_defuse,n3) = use )
      & ( ~ epred2_0
        | a_select3(u_defuse,n2,n0) = use )
      & ( ~ epred2_0
        | a_select3(u_defuse,n1,n0) = use )
      & ( ~ epred2_0
        | a_select3(u_defuse,n0,n0) = use )
      & ( ~ epred2_0
        | a_select2(sigma_defuse,n5) = use )
      & ( ~ epred2_0
        | a_select2(sigma_defuse,n4) = use )
      & ( ~ epred2_0
        | a_select2(sigma_defuse,n3) = use )
      & ( ~ epred2_0
        | a_select2(sigma_defuse,n2) = use )
      & ( ~ epred2_0
        | a_select2(sigma_defuse,n1) = use )
      & ( ~ epred2_0
        | a_select2(sigma_defuse,n0) = use )
      & ( ~ epred2_0
        | a_select2(rho_defuse,n2) = use )
      & ( ~ epred2_0
        | a_select2(rho_defuse,n1) = use )
      & ( ~ epred2_0
        | a_select2(rho_defuse,n0) = use ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).

cnf(c_0_9,plain,
    ( ~ leq(X1,n5)
    | ~ leq(n0,X1)
    | X1 = n5
    | X1 = n4
    | X1 = n3
    | X1 = n2
    | X1 = n1
    | X1 = n0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    leq(esk24_0,n5),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    leq(n0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( ~ epred2_0
    | a_select2(sigma_defuse,n5) = use ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    epred2_0,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    a_select2(sigma_defuse,esk24_0) != use,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    ( esk24_0 = n0
    | esk24_0 = n1
    | esk24_0 = n2
    | esk24_0 = n3
    | esk24_0 = n4
    | esk24_0 = n5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_16,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_17,plain,
    ( ~ epred2_0
    | a_select2(sigma_defuse,n4) = use ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,negated_conjecture,
    ( esk24_0 = n4
    | esk24_0 = n3
    | esk24_0 = n2
    | esk24_0 = n1
    | esk24_0 = n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_19,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13])]) ).

cnf(c_0_20,plain,
    ( ~ epred2_0
    | a_select2(sigma_defuse,n3) = use ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    ( esk24_0 = n0
    | esk24_0 = n1
    | esk24_0 = n2
    | esk24_0 = n3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_18]),c_0_19])]) ).

cnf(c_0_22,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_13])]) ).

cnf(c_0_23,plain,
    ( ~ epred2_0
    | a_select2(sigma_defuse,n2) = use ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_24,negated_conjecture,
    ( esk24_0 = n2
    | esk24_0 = n1
    | esk24_0 = n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_21]),c_0_22])]) ).

cnf(c_0_25,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_13])]) ).

cnf(c_0_26,plain,
    ( ~ epred2_0
    | a_select2(sigma_defuse,n1) = use ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,negated_conjecture,
    ( esk24_0 = n0
    | esk24_0 = n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_24]),c_0_25])]) ).

cnf(c_0_28,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_13])]) ).

cnf(c_0_29,plain,
    ( ~ epred2_0
    | a_select2(sigma_defuse,n0) = use ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_30,negated_conjecture,
    esk24_0 = n0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_27]),c_0_28])]) ).

cnf(c_0_31,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_13])]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_30]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV205+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n013.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 08:34:06 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  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
% 0.15/0.48  % Version: 3.5.1
% 0.15/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48  % Starting sh5l with 300s (1) cores
% 0.15/0.48  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 374765 completed with status 0
% 0.15/0.48  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.48  % No SInE strategy applied
% 0.15/0.48  % Search class: FGUSM-FSLM33-DFFFFFNN
% 0.15/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.48  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 0.15/0.48  % Starting new_bool_3 with 169s (1) cores
% 0.15/0.48  % Starting new_bool_1 with 169s (1) cores
% 0.15/0.48  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 374773 completed with status 0
% 0.15/0.48  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.48  % No SInE strategy applied
% 0.15/0.48  % Search class: FGUSM-FSLM33-DFFFFFNN
% 0.15/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.48  % Preprocessing time       : 0.005 s
% 0.15/0.48  % Presaturation interreduction done
% 0.15/0.48  
% 0.15/0.48  % Proof found!
% 0.15/0.48  % SZS status Theorem
% 0.15/0.48  % SZS output start CNFRefutation
% See solution above
% 0.15/0.48  % Parsed axioms                        : 92
% 0.15/0.48  % Removed by relevancy pruning/SinE    : 0
% 0.15/0.48  % Initial clauses                      : 232
% 0.15/0.48  % Removed in clause preprocessing      : 2
% 0.15/0.48  % Initial clauses in saturation        : 230
% 0.15/0.48  % Processed clauses                    : 398
% 0.15/0.48  % ...of these trivial                  : 0
% 0.15/0.48  % ...subsumed                          : 1
% 0.15/0.48  % ...remaining for further processing  : 397
% 0.15/0.48  % Other redundant clauses eliminated   : 5
% 0.15/0.48  % Clauses deleted for lack of memory   : 0
% 0.15/0.48  % Backward-subsumed                    : 4
% 0.15/0.48  % Backward-rewritten                   : 7
% 0.15/0.48  % Generated clauses                    : 331
% 0.15/0.48  % ...of the previous two non-redundant : 296
% 0.15/0.48  % ...aggressively subsumed             : 0
% 0.15/0.48  % Contextual simplify-reflections      : 0
% 0.15/0.48  % Paramodulations                      : 310
% 0.15/0.48  % Factorizations                       : 17
% 0.15/0.48  % NegExts                              : 0
% 0.15/0.48  % Equation resolutions                 : 5
% 0.15/0.48  % Disequality decompositions           : 0
% 0.15/0.48  % Total rewrite steps                  : 146
% 0.15/0.48  % ...of those cached                   : 102
% 0.15/0.48  % Propositional unsat checks           : 0
% 0.15/0.48  %    Propositional check models        : 0
% 0.15/0.48  %    Propositional check unsatisfiable : 0
% 0.15/0.48  %    Propositional clauses             : 0
% 0.15/0.48  %    Propositional clauses after purity: 0
% 0.15/0.48  %    Propositional unsat core size     : 0
% 0.15/0.48  %    Propositional preprocessing time  : 0.000
% 0.15/0.48  %    Propositional encoding time       : 0.000
% 0.15/0.48  %    Propositional solver time         : 0.000
% 0.15/0.48  %    Success case prop preproc time    : 0.000
% 0.15/0.48  %    Success case prop encoding time   : 0.000
% 0.15/0.48  %    Success case prop solver time     : 0.000
% 0.15/0.48  % Current number of processed clauses  : 154
% 0.15/0.48  %    Positive orientable unit clauses  : 101
% 0.15/0.48  %    Positive unorientable unit clauses: 1
% 0.15/0.48  %    Negative unit clauses             : 2
% 0.15/0.48  %    Non-unit-clauses                  : 50
% 0.15/0.48  % Current number of unprocessed clauses: 357
% 0.15/0.48  % ...number of literals in the above   : 1427
% 0.15/0.48  % Current number of archived formulas  : 0
% 0.15/0.48  % Current number of archived clauses   : 243
% 0.15/0.48  % Clause-clause subsumption calls (NU) : 10332
% 0.15/0.48  % Rec. Clause-clause subsumption calls : 1236
% 0.15/0.48  % Non-unit clause-clause subsumptions  : 5
% 0.15/0.48  % Unit Clause-clause subsumption calls : 78
% 0.15/0.48  % Rewrite failures with RHS unbound    : 0
% 0.15/0.48  % BW rewrite match attempts            : 19
% 0.15/0.48  % BW rewrite match successes           : 13
% 0.15/0.48  % Condensation attempts                : 0
% 0.15/0.48  % Condensation successes               : 0
% 0.15/0.48  % Termbank termtop insertions          : 22220
% 0.15/0.48  % Search garbage collected termcells   : 2286
% 0.15/0.48  
% 0.15/0.48  % -------------------------------------------------
% 0.15/0.48  % User time                : 0.047 s
% 0.15/0.48  % System time              : 0.007 s
% 0.15/0.48  % Total time               : 0.054 s
% 0.15/0.48  % Maximum resident set size: 4216 pages
% 0.15/0.48  
% 0.15/0.48  % -------------------------------------------------
% 0.15/0.48  % User time                : 0.175 s
% 0.15/0.48  % System time              : 0.029 s
% 0.15/0.48  % Total time               : 0.204 s
% 0.15/0.48  % Maximum resident set size: 4608 pages
% 0.15/0.48  % E exiting
%------------------------------------------------------------------------------