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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : ALG210+2 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:08:15 PM UTC 2026

% Result   : Theorem 1.34s 1.75s
% Output   : CNFRefutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   72 (  51 unt;   0 def)
%            Number of atoms       :  106 (  70 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   60 (  26   ~;  21   |;  10   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   51 (   0 sgn  16   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X2] :
      ( element(X2)
    <=> ? [X3] :
          ( times(X2,X3) = X2
          & times(X2,X2) = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(conjecture_1,conjecture,
    ! [X1,X2,X3] :
      ( ( element(X1)
        & element(X2)
        & X3 = times(X1,X2) )
     => element(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).

fof(axiom_1,axiom,
    ! [X1,X2,X3] : times(times(X1,X2),X3) = times(X2,times(X3,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(c_0_3,plain,
    ! [X15,X17,X18] :
      ( ( times(X15,esk1_1(X15)) = X15
        | ~ element(X15) )
      & ( times(X15,X15) = esk1_1(X15)
        | ~ element(X15) )
      & ( times(X17,X18) != X17
        | times(X17,X17) != X18
        | element(X17) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])])]) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( element(X1)
          & element(X2)
          & X3 = times(X1,X2) )
       => element(X3) ),
    inference(assume_negation,[status(cth)],[conjecture_1]) ).

cnf(c_0_5,plain,
    ( times(X1,esk1_1(X1)) = X1
    | ~ element(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( times(X1,X1) = esk1_1(X1)
    | ~ element(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_7,negated_conjecture,
    ( element(esk2_0)
    & element(esk3_0)
    & esk4_0 = times(esk2_0,esk3_0)
    & ~ element(esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_8,plain,
    ! [X12,X13,X14] : times(times(X12,X13),X14) = times(X13,times(X14,X12)),
    inference(variable_rename,[status(thm)],[axiom_1]) ).

cnf(c_0_9,plain,
    ( element(X1)
    | times(X1,X2) != X1
    | times(X1,X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,plain,
    ( times(X1,times(X1,X1)) = X1
    | ~ element(X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    element(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    times(times(X1,X2),X3) = times(X2,times(X3,X1)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    esk4_0 = times(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,plain,
    ( element(X1)
    | times(X1,times(X1,X1)) != X1 ),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    element(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    times(esk3_0,times(esk3_0,esk3_0)) = esk3_0,
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    times(esk3_0,times(X1,esk2_0)) = times(esk4_0,X1),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    ( element(times(X1,X2))
    | times(X2,times(X1,times(X1,times(X2,times(X2,X1))))) != times(X1,X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    times(esk2_0,times(esk2_0,esk2_0)) = esk2_0,
    inference(spm,[status(thm)],[c_0_10,c_0_15]) ).

cnf(c_0_20,plain,
    ( times(esk1_1(X1),times(X2,X1)) = times(X1,X2)
    | ~ element(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_5]) ).

cnf(c_0_21,negated_conjecture,
    times(esk3_0,times(esk3_0,times(esk3_0,X1))) = times(esk3_0,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_16]),c_0_12]),c_0_12]) ).

cnf(c_0_22,negated_conjecture,
    times(esk3_0,esk1_1(esk2_0)) = times(esk4_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_6]),c_0_15])]) ).

cnf(c_0_23,plain,
    ( times(X1,times(X1,times(X2,X2))) = esk1_1(times(X2,X1))
    | ~ element(times(X2,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_12]),c_0_12]) ).

cnf(c_0_24,negated_conjecture,
    element(times(esk2_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_19])]) ).

cnf(c_0_25,negated_conjecture,
    ( times(esk1_1(times(esk2_0,esk2_0)),esk2_0) = esk2_0
    | ~ element(times(esk2_0,esk2_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_19]),c_0_12]),c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    times(esk2_0,times(esk3_0,times(X1,X2))) = times(X1,times(X2,esk4_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_17]),c_0_12]),c_0_12]),c_0_12]) ).

cnf(c_0_27,negated_conjecture,
    times(esk3_0,times(esk4_0,esk3_0)) = times(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_21,c_0_17]) ).

cnf(c_0_28,negated_conjecture,
    times(esk3_0,times(esk4_0,esk4_0)) = times(esk4_0,esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_17]) ).

cnf(c_0_29,negated_conjecture,
    esk1_1(times(esk2_0,esk2_0)) = times(esk2_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_24])]) ).

cnf(c_0_30,negated_conjecture,
    ( times(esk4_0,esk1_1(times(esk2_0,esk2_0))) = times(esk3_0,esk2_0)
    | ~ element(times(esk2_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_25]) ).

cnf(c_0_31,plain,
    ( times(esk1_1(X1),X2) = times(X1,times(X2,X1))
    | ~ element(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_6]) ).

cnf(c_0_32,negated_conjecture,
    times(esk2_0,times(esk3_0,esk2_0)) = times(esk4_0,times(esk3_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,plain,
    times(X1,times(X2,times(X3,X4))) = times(X3,times(X4,times(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).

cnf(c_0_34,negated_conjecture,
    times(esk2_0,times(esk4_0,esk3_0)) = times(esk4_0,esk4_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_17]),c_0_12]),c_0_28]),c_0_17]) ).

cnf(c_0_35,negated_conjecture,
    times(esk3_0,times(esk3_0,esk4_0)) = esk4_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_13]) ).

cnf(c_0_36,negated_conjecture,
    esk1_1(esk1_1(esk2_0)) = esk1_1(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_6]),c_0_15])]) ).

cnf(c_0_37,negated_conjecture,
    element(esk1_1(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_6]),c_0_15])]) ).

cnf(c_0_38,negated_conjecture,
    times(esk4_0,esk1_1(times(esk2_0,esk2_0))) = times(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_24])]) ).

cnf(c_0_39,negated_conjecture,
    times(esk1_1(esk2_0),esk3_0) = times(esk4_0,times(esk3_0,esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_15])]) ).

cnf(c_0_40,negated_conjecture,
    times(esk1_1(esk3_0),esk4_0) = times(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_11])]) ).

cnf(c_0_41,negated_conjecture,
    times(esk2_0,times(esk4_0,esk4_0)) = times(esk4_0,times(esk4_0,esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_32]),c_0_26]),c_0_12]),c_0_33]),c_0_28]),c_0_12]),c_0_34]) ).

cnf(c_0_42,negated_conjecture,
    times(esk2_0,esk4_0) = times(esk4_0,esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_35]),c_0_28]) ).

cnf(c_0_43,plain,
    ( times(esk1_1(X1),esk1_1(X1)) = times(X1,X1)
    | ~ element(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_6]) ).

cnf(c_0_44,negated_conjecture,
    times(esk1_1(esk2_0),esk1_1(esk2_0)) = esk1_1(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_36]),c_0_37])]) ).

cnf(c_0_45,negated_conjecture,
    times(esk4_0,times(esk2_0,esk2_0)) = times(esk3_0,esk2_0),
    inference(rw,[status(thm)],[c_0_38,c_0_29]) ).

cnf(c_0_46,plain,
    ( times(X1,times(esk1_1(times(X2,X1)),X2)) = times(X2,X1)
    | ~ element(times(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_12]) ).

cnf(c_0_47,negated_conjecture,
    times(esk3_0,times(esk4_0,times(esk4_0,esk3_0))) = times(esk2_0,times(esk3_0,esk4_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_35]),c_0_12]) ).

cnf(c_0_48,negated_conjecture,
    times(esk3_0,times(esk4_0,times(esk3_0,esk2_0))) = times(esk4_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_39]),c_0_33]),c_0_40]),c_0_22]),c_0_11])]) ).

cnf(c_0_49,negated_conjecture,
    ( element(times(esk4_0,esk3_0))
    | times(esk3_0,times(esk4_0,times(esk4_0,esk4_0))) != times(esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_35]) ).

cnf(c_0_50,negated_conjecture,
    times(esk3_0,times(esk4_0,times(esk4_0,esk4_0))) = times(esk4_0,times(esk4_0,esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_28]),c_0_17]),c_0_12]),c_0_41]) ).

cnf(c_0_51,negated_conjecture,
    times(esk3_0,times(X1,times(esk2_0,X2))) = times(esk4_0,times(X2,X1)),
    inference(spm,[status(thm)],[c_0_17,c_0_12]) ).

cnf(c_0_52,negated_conjecture,
    times(esk2_0,times(X1,esk4_0)) = times(esk4_0,times(X1,esk2_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_42]),c_0_12]) ).

cnf(c_0_53,negated_conjecture,
    times(esk2_0,esk2_0) = esk1_1(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_15])]) ).

cnf(c_0_54,negated_conjecture,
    times(esk4_0,esk1_1(esk2_0)) = times(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_6]),c_0_15])]) ).

cnf(c_0_55,negated_conjecture,
    times(esk2_0,times(esk4_0,esk2_0)) = times(esk4_0,times(esk4_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_26,c_0_28]) ).

cnf(c_0_56,negated_conjecture,
    times(esk3_0,esk1_1(esk3_0)) = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_16]),c_0_12]),c_0_12]),c_0_21]),c_0_11])]) ).

cnf(c_0_57,negated_conjecture,
    times(esk2_0,times(esk3_0,esk4_0)) = times(esk4_0,esk4_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_47]),c_0_33]),c_0_48]),c_0_17]) ).

cnf(c_0_58,negated_conjecture,
    ( element(times(esk4_0,esk3_0))
    | times(esk4_0,times(esk4_0,esk2_0)) != times(esk4_0,esk3_0) ),
    inference(rw,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    times(esk4_0,times(esk4_0,esk2_0)) = times(esk4_0,esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]),c_0_17]) ).

cnf(c_0_60,negated_conjecture,
    ~ element(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_61,negated_conjecture,
    times(esk2_0,times(X1,esk2_0)) = times(esk1_1(esk2_0),X1),
    inference(spm,[status(thm)],[c_0_12,c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    times(esk1_1(esk2_0),esk4_0) = times(esk4_0,times(esk4_0,esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_55]),c_0_15])]) ).

cnf(c_0_63,plain,
    ( times(X1,times(X2,times(X2,times(X1,times(X1,X2))))) = times(X2,X1)
    | ~ element(times(X2,X1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).

cnf(c_0_64,negated_conjecture,
    times(esk2_0,times(esk3_0,esk3_0)) = times(esk4_0,esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_56]),c_0_40]),c_0_17]) ).

cnf(c_0_65,negated_conjecture,
    times(esk4_0,times(esk3_0,esk2_0)) = times(esk4_0,esk4_0),
    inference(rw,[status(thm)],[c_0_57,c_0_52]) ).

cnf(c_0_66,negated_conjecture,
    element(times(esk4_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).

cnf(c_0_67,negated_conjecture,
    times(esk4_0,times(esk4_0,esk4_0)) != esk4_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_35]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_33]),c_0_35]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_16]),c_0_12]),c_0_12]),c_0_12]),c_0_33]),c_0_28]),c_0_17]),c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    times(esk4_0,times(esk4_0,esk4_0)) = times(esk3_0,esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_42]),c_0_61]),c_0_62]),c_0_53]),c_0_54]) ).

cnf(c_0_69,negated_conjecture,
    times(esk4_0,esk3_0) = times(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_12]),c_0_13]),c_0_12]),c_0_12]),c_0_33]),c_0_35]),c_0_52]),c_0_65]),c_0_52]),c_0_59]),c_0_12]),c_0_12]),c_0_35]),c_0_66])]) ).

cnf(c_0_70,negated_conjecture,
    times(esk3_0,esk2_0) != esk4_0,
    inference(rw,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_69]),c_0_35]),c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG210+2 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n023.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 10:25:24 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.34/1.75  % Version  : CSE_E---1.7
% 1.34/1.75  % Problem  : theBenchmark.p
% 1.34/1.75  % SZS status Theorem for theBenchmark.p
% 1.34/1.75  % SZS output start CNFRefutation
% See solution above
% 1.34/1.75  % Total time : 1.370s
%------------------------------------------------------------------------------