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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL493+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:12:54 PM UTC 2026

% Result   : Theorem 0.14s 0.47s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   77 (  41 unt;   0 def)
%            Number of atoms       :  135 (  22 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :  101 (  43   ~;  39   |;   8   &)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   13 (  11 usr;  11 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  11 con; 0-2 aty)
%            Number of variables   :  108 (   6 sgn  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(r5,axiom,
    ( r5
  <=> ! [X4,X5,X6] : is_a_theorem(implies(implies(X5,X6),implies(or(X4,X5),or(X4,X6)))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r5) ).

fof(op_implies_or,axiom,
    ( op_implies_or
   => ! [X1,X2] : implies(X1,X2) = or(not(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_implies_or) ).

fof(modus_ponens,axiom,
    ( modus_ponens
  <=> ! [X1,X2] :
        ( ( is_a_theorem(implies(X1,X2))
          & is_a_theorem(X1) )
       => is_a_theorem(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',modus_ponens) ).

fof(principia_r5,axiom,
    r5,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_r5) ).

fof(principia_op_implies_or,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_op_implies_or) ).

fof(op_and,axiom,
    ( op_and
   => ! [X1,X2] : and(X1,X2) = not(or(not(X1),not(X2))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_and) ).

fof(op_implies_and,axiom,
    ( op_implies_and
   => ! [X1,X2] : implies(X1,X2) = not(and(X1,not(X2))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).

fof(principia_modus_ponens,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_modus_ponens) ).

fof(r2,axiom,
    ( r2
  <=> ! [X4,X5] : is_a_theorem(implies(X5,or(X4,X5))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r2) ).

fof(op_or,axiom,
    ( op_or
   => ! [X1,X2] : or(X1,X2) = not(and(not(X1),not(X2))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_or) ).

fof(principia_op_and,axiom,
    op_and,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_op_and) ).

fof(hilbert_op_implies_and,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).

fof(hilbert_equivalence_1,conjecture,
    equivalence_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_equivalence_1) ).

fof(r3,axiom,
    ( r3
  <=> ! [X4,X5] : is_a_theorem(implies(or(X4,X5),or(X5,X4))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r3) ).

fof(principia_r2,axiom,
    r2,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_r2) ).

fof(hilbert_op_or,axiom,
    op_or,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).

fof(op_equiv,axiom,
    ( op_equiv
   => ! [X1,X2] : equiv(X1,X2) = and(implies(X1,X2),implies(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_equiv) ).

fof(principia_r3,axiom,
    r3,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_r3) ).

fof(equivalence_1,axiom,
    ( equivalence_1
  <=> ! [X1,X2] : is_a_theorem(implies(equiv(X1,X2),implies(X1,X2))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',equivalence_1) ).

fof(principia_op_equiv,axiom,
    op_equiv,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_op_equiv) ).

fof(c_0_20,plain,
    ! [X111,X112,X113] :
      ( ( r5
        | ~ is_a_theorem(implies(implies(esk54_0,esk55_0),implies(or(esk53_0,esk54_0),or(esk53_0,esk55_0)))) )
      & ( is_a_theorem(implies(implies(X112,X113),implies(or(X111,X112),or(X111,X113))))
        | ~ r5 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r5])])])])]) ).

fof(c_0_21,plain,
    ! [X123,X124] :
      ( implies(X123,X124) = or(not(X123),X124)
      | ~ op_implies_or ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_or])])])]) ).

fof(c_0_22,plain,
    ! [X7,X8] :
      ( ( modus_ponens
        | ~ is_a_theorem(esk2_0) )
      & ( modus_ponens
        | is_a_theorem(implies(esk1_0,esk2_0)) )
      & ( modus_ponens
        | is_a_theorem(esk1_0) )
      & ( is_a_theorem(X8)
        | ~ is_a_theorem(implies(X7,X8))
        | ~ is_a_theorem(X7)
        | ~ modus_ponens ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[modus_ponens])])])])])]) ).

cnf(c_0_23,plain,
    ( ~ r5
    | is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,plain,
    r5,
    inference(split_conjunct,[status(thm)],[principia_r5]) ).

cnf(c_0_25,plain,
    ( ~ op_implies_or
    | implies(X1,X2) = or(not(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    op_implies_or,
    inference(split_conjunct,[status(thm)],[principia_op_implies_or]) ).

fof(c_0_27,plain,
    ! [X119,X120] :
      ( and(X119,X120) = not(or(not(X119),not(X120)))
      | ~ op_and ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_and])])])]) ).

fof(c_0_28,plain,
    ! [X121,X122] :
      ( implies(X121,X122) = not(and(X121,not(X122)))
      | ~ op_implies_and ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_and])])])]) ).

cnf(c_0_29,plain,
    ( ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1)
    | ~ modus_ponens
    | is_a_theorem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    modus_ponens,
    inference(split_conjunct,[status(thm)],[principia_modus_ponens]) ).

cnf(c_0_31,plain,
    is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_32,plain,
    or(not(X1),X2) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

fof(c_0_33,plain,
    ! [X97,X98] :
      ( ( r2
        | ~ is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0))) )
      & ( is_a_theorem(implies(X98,or(X97,X98)))
        | ~ r2 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r2])])])])]) ).

fof(c_0_34,plain,
    ! [X117,X118] :
      ( or(X117,X118) = not(and(not(X117),not(X118)))
      | ~ op_or ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_or])])])]) ).

cnf(c_0_35,plain,
    ( ~ op_and
    | and(X1,X2) = not(or(not(X1),not(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,plain,
    op_and,
    inference(split_conjunct,[status(thm)],[principia_op_and]) ).

cnf(c_0_37,plain,
    ( ~ op_implies_and
    | implies(X1,X2) = not(and(X1,not(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    op_implies_and,
    inference(split_conjunct,[status(thm)],[hilbert_op_implies_and]) ).

fof(c_0_39,negated_conjecture,
    ~ equivalence_1,
    inference(assume_negation,[status(cth)],[hilbert_equivalence_1]) ).

fof(c_0_40,plain,
    ! [X101,X102] :
      ( ( r3
        | ~ is_a_theorem(implies(or(esk48_0,esk49_0),or(esk49_0,esk48_0))) )
      & ( is_a_theorem(implies(or(X101,X102),or(X102,X101)))
        | ~ r3 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r3])])])])]) ).

cnf(c_0_41,plain,
    ( ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1))
    | is_a_theorem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

cnf(c_0_42,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).

cnf(c_0_43,plain,
    ( ~ r2
    | is_a_theorem(implies(X1,or(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_44,plain,
    r2,
    inference(split_conjunct,[status(thm)],[principia_r2]) ).

cnf(c_0_45,plain,
    ( ~ op_or
    | or(X1,X2) = not(and(not(X1),not(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_46,plain,
    and(X1,X2) = not(implies(X1,not(X2))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_32]),c_0_36])]) ).

cnf(c_0_47,plain,
    op_or,
    inference(split_conjunct,[status(thm)],[hilbert_op_or]) ).

cnf(c_0_48,plain,
    not(and(X1,not(X2))) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).

fof(c_0_49,plain,
    ! [X125,X126] :
      ( equiv(X125,X126) = and(implies(X125,X126),implies(X126,X125))
      | ~ op_equiv ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_equiv])])])]) ).

fof(c_0_50,negated_conjecture,
    ~ equivalence_1,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

cnf(c_0_51,plain,
    ( ~ r3
    | is_a_theorem(implies(or(X1,X2),or(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_52,plain,
    r3,
    inference(split_conjunct,[status(thm)],[principia_r3]) ).

cnf(c_0_53,plain,
    ( ~ is_a_theorem(implies(X2,X3))
    | is_a_theorem(implies(implies(X1,X2),implies(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_54,plain,
    is_a_theorem(implies(X1,or(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

cnf(c_0_55,plain,
    not(not(implies(not(X1),not(not(X2))))) = or(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).

cnf(c_0_56,plain,
    not(not(implies(X1,not(not(X2))))) = implies(X1,X2),
    inference(rw,[status(thm)],[c_0_48,c_0_46]) ).

fof(c_0_57,plain,
    ! [X59,X60] :
      ( ( equivalence_1
        | ~ is_a_theorem(implies(equiv(esk27_0,esk28_0),implies(esk27_0,esk28_0))) )
      & ( is_a_theorem(implies(equiv(X59,X60),implies(X59,X60)))
        | ~ equivalence_1 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equivalence_1])])])])]) ).

cnf(c_0_58,plain,
    ( ~ op_equiv
    | equiv(X1,X2) = and(implies(X1,X2),implies(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_59,plain,
    op_equiv,
    inference(split_conjunct,[status(thm)],[principia_op_equiv]) ).

fof(c_0_60,negated_conjecture,
    ~ equivalence_1,
    inference(fof_nnf,[status(thm)],[c_0_50]) ).

cnf(c_0_61,plain,
    is_a_theorem(implies(or(X1,X2),or(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_62,plain,
    ( ~ is_a_theorem(implies(X3,X2))
    | ~ is_a_theorem(implies(X1,X3))
    | is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_53]) ).

cnf(c_0_63,plain,
    is_a_theorem(implies(X1,implies(X2,X1))),
    inference(spm,[status(thm)],[c_0_54,c_0_32]) ).

cnf(c_0_64,plain,
    implies(not(X1),X2) = or(X1,X2),
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_65,plain,
    ( ~ is_a_theorem(implies(equiv(esk27_0,esk28_0),implies(esk27_0,esk28_0)))
    | equivalence_1 ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_66,plain,
    equiv(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).

cnf(c_0_67,negated_conjecture,
    ~ equivalence_1,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_68,plain,
    ( ~ is_a_theorem(or(X2,X1))
    | is_a_theorem(or(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_61]) ).

cnf(c_0_69,plain,
    ( ~ is_a_theorem(implies(implies(X3,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_70,plain,
    is_a_theorem(implies(implies(not(X1),X2),or(X2,X1))),
    inference(spm,[status(thm)],[c_0_61,c_0_64]) ).

cnf(c_0_71,plain,
    ~ is_a_theorem(implies(and(implies(esk27_0,esk28_0),implies(esk28_0,esk27_0)),implies(esk27_0,esk28_0))),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_72,plain,
    ( ~ is_a_theorem(implies(not(X2),X1))
    | is_a_theorem(or(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_64]) ).

cnf(c_0_73,plain,
    is_a_theorem(implies(X1,or(X1,X2))),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_74,plain,
    ~ is_a_theorem(or(implies(implies(esk27_0,esk28_0),not(implies(esk28_0,esk27_0))),implies(esk27_0,esk28_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_46]),c_0_64]) ).

cnf(c_0_75,plain,
    is_a_theorem(or(implies(X1,X2),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_32]) ).

cnf(c_0_76,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL493+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.34  % Computer : n009.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8046.5625MB
% 0.09/0.34  % OS       : Linux 6.8.0-71-generic
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Mon Sep 21 00:35:42 UTC 2026
% 0.09/0.34  % CPUTime  : 
% 0.09/0.34  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38  Running first-order theorem proving
% 0.09/0.39  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
% 0.14/0.47  % Version: 3.5.1
% 0.14/0.47  % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.14/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.14/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.47  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.47  % Starting sh5l with 300s (1) cores
% 0.14/0.47  % new_bool_1 with pid 465061 completed with status 9
% 0.14/0.47  % new_bool_3 with pid 465060 completed with status 9
% 0.14/0.47  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 465059 completed with status 0
% 0.14/0.47  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.14/0.47  % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.14/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.14/0.47  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.47  % No SInE strategy applied
% 0.14/0.47  % Search class: FGUSF-FFMM21-MFFFFFNN
% 0.14/0.47  % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.47  % Starting SubtermCWHack with 151s (1) cores
% 0.14/0.47  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 0.14/0.47  % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 0.14/0.47  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 151s (1) cores
% 0.14/0.47  % Starting U----_207d_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.47  % G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 465072 completed with status 0
% 0.14/0.47  % Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 0.14/0.47  % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.14/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.14/0.47  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.47  % No SInE strategy applied
% 0.14/0.47  % Search class: FGUSF-FFMM21-MFFFFFNN
% 0.14/0.47  % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.47  % Starting SubtermCWHack with 151s (1) cores
% 0.14/0.47  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 0.14/0.47  % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 0.14/0.47  % Preprocessing time       : 0.004 s
% 0.14/0.47  % Presaturation interreduction done
% 0.14/0.47  
% 0.14/0.47  % Proof found!
% 0.14/0.47  % SZS status Theorem
% 0.14/0.47  % SZS output start CNFRefutation
% See solution above
% 0.14/0.47  % Parsed axioms                        : 45
% 0.14/0.47  % Removed by relevancy pruning/SinE    : 0
% 0.14/0.47  % Initial clauses                      : 74
% 0.14/0.47  % Removed in clause preprocessing      : 0
% 0.14/0.47  % Initial clauses in saturation        : 74
% 0.14/0.47  % Processed clauses                    : 394
% 0.14/0.47  % ...of these trivial                  : 25
% 0.14/0.47  % ...subsumed                          : 139
% 0.14/0.47  % ...remaining for further processing  : 230
% 0.14/0.47  % Other redundant clauses eliminated   : 0
% 0.14/0.47  % Clauses deleted for lack of memory   : 0
% 0.14/0.47  % Backward-subsumed                    : 0
% 0.14/0.47  % Backward-rewritten                   : 26
% 0.14/0.47  % Generated clauses                    : 1076
% 0.14/0.47  % ...of the previous two non-redundant : 976
% 0.14/0.47  % ...aggressively subsumed             : 0
% 0.14/0.47  % Contextual simplify-reflections      : 0
% 0.14/0.47  % Paramodulations                      : 1076
% 0.14/0.47  % Factorizations                       : 0
% 0.14/0.47  % NegExts                              : 0
% 0.14/0.47  % Equation resolutions                 : 0
% 0.14/0.47  % Disequality decompositions           : 0
% 0.14/0.47  % Total rewrite steps                  : 369
% 0.14/0.47  % ...of those cached                   : 151
% 0.14/0.47  % Propositional unsat checks           : 0
% 0.14/0.47  %    Propositional check models        : 0
% 0.14/0.47  %    Propositional check unsatisfiable : 0
% 0.14/0.47  %    Propositional clauses             : 0
% 0.14/0.47  %    Propositional clauses after purity: 0
% 0.14/0.47  %    Propositional unsat core size     : 0
% 0.14/0.47  %    Propositional preprocessing time  : 0.000
% 0.14/0.47  %    Propositional encoding time       : 0.000
% 0.14/0.47  %    Propositional solver time         : 0.000
% 0.14/0.47  %    Success case prop preproc time    : 0.000
% 0.14/0.47  %    Success case prop encoding time   : 0.000
% 0.14/0.47  %    Success case prop solver time     : 0.000
% 0.14/0.47  % Current number of processed clauses  : 143
% 0.14/0.47  %    Positive orientable unit clauses  : 55
% 0.14/0.47  %    Positive unorientable unit clauses: 2
% 0.14/0.47  %    Negative unit clauses             : 5
% 0.14/0.47  %    Non-unit-clauses                  : 81
% 0.14/0.47  % Current number of unprocessed clauses: 713
% 0.14/0.47  % ...number of literals in the above   : 1184
% 0.14/0.47  % Current number of archived formulas  : 0
% 0.14/0.47  % Current number of archived clauses   : 87
% 0.14/0.47  % Clause-clause subsumption calls (NU) : 848
% 0.14/0.47  % Rec. Clause-clause subsumption calls : 845
% 0.14/0.47  % Non-unit clause-clause subsumptions  : 136
% 0.14/0.47  % Unit Clause-clause subsumption calls : 205
% 0.14/0.47  % Rewrite failures with RHS unbound    : 0
% 0.14/0.47  % BW rewrite match attempts            : 182
% 0.14/0.47  % BW rewrite match successes           : 32
% 0.14/0.47  % Condensation attempts                : 0
% 0.14/0.47  % Condensation successes               : 0
% 0.14/0.47  % Termbank termtop insertions          : 17347
% 0.14/0.47  % Search garbage collected termcells   : 1092
% 0.14/0.47  
% 0.14/0.47  % -------------------------------------------------
% 0.14/0.47  % User time                : 0.052 s
% 0.14/0.47  % System time              : 0.007 s
% 0.14/0.47  % Total time               : 0.059 s
% 0.14/0.47  % Maximum resident set size: 3688 pages
% 0.14/0.47  
% 0.14/0.47  % -------------------------------------------------
% 0.14/0.47  % User time                : 0.247 s
% 0.14/0.47  % System time              : 0.069 s
% 0.14/0.47  % Total time               : 0.316 s
% 0.14/0.47  % Maximum resident set size: 4864 pages
% 0.14/0.47  % E exiting
%------------------------------------------------------------------------------