TSTP Solution File: GRP775+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRP775+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 May 20 20:51:15 EDT 2024

% Result   : Theorem 0.14s 0.49s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   78 (  26 unt;   0 def)
%            Number of atoms       :  170 (  90 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  167 (  75   ~;  74   |;  13   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  132 (   0 sgn  27   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sos01,axiom,
    ! [X1,X2,X3] : product(product(X3,X2),X1) = product(X3,product(X2,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).

fof(sos02,axiom,
    ! [X3] : product(X3,X3) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).

fof(sos04,axiom,
    ! [X6,X7] :
      ( r(X6,X7)
    <=> ( product(X6,X7) = X7
        & product(X7,X6) = X6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).

fof(sos05,axiom,
    ! [X8,X9] :
      ( d(X8,X9)
    <=> ? [X10] :
          ( r(X8,X10)
          & l(X10,X9) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).

fof(sos03,axiom,
    ! [X4,X5] :
      ( l(X4,X5)
    <=> ( product(X4,X5) = X4
        & product(X5,X4) = X5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).

fof(goals,conjecture,
    ! [X11,X12] :
      ( d(X11,X12)
    <=> ( product(X11,product(X12,X11)) = X11
        & product(X12,product(X11,X12)) = X12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(c_0_6,plain,
    ! [X15,X16,X17] : product(product(X17,X16),X15) = product(X17,product(X16,X15)),
    inference(variable_rename,[status(thm)],[sos01]) ).

fof(c_0_7,plain,
    ! [X18] : product(X18,X18) = X18,
    inference(variable_rename,[status(thm)],[sos02]) ).

cnf(c_0_8,plain,
    product(product(X1,X2),X3) = product(X1,product(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    product(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_10,plain,
    ! [X27,X28] :
      ( ( product(X27,X28) = X28
        | ~ r(X27,X28) )
      & ( product(X28,X27) = X27
        | ~ r(X27,X28) )
      & ( product(X27,X28) != X28
        | product(X28,X27) != X27
        | r(X27,X28) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos04])])])]) ).

fof(c_0_11,plain,
    ! [X19,X20,X22,X23,X24] :
      ( ( r(X19,esk3_2(X19,X20))
        | ~ d(X19,X20) )
      & ( l(esk3_2(X19,X20),X20)
        | ~ d(X19,X20) )
      & ( ~ r(X22,X24)
        | ~ l(X24,X23)
        | d(X22,X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[sos05])])])])])])]) ).

cnf(c_0_12,plain,
    product(X1,product(X1,X2)) = product(X1,X2),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( product(X1,X2) = X2
    | ~ r(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( r(X1,esk3_2(X1,X2))
    | ~ d(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,plain,
    ! [X25,X26] :
      ( ( product(X25,X26) = X25
        | ~ l(X25,X26) )
      & ( product(X26,X25) = X26
        | ~ l(X25,X26) )
      & ( product(X25,X26) != X25
        | product(X26,X25) != X26
        | l(X25,X26) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos03])])])]) ).

cnf(c_0_16,plain,
    product(X1,product(X2,product(X1,product(X2,X3)))) = product(X1,product(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_12]),c_0_8]),c_0_8]) ).

cnf(c_0_17,plain,
    ( product(X1,esk3_2(X1,X2)) = esk3_2(X1,X2)
    | ~ d(X1,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    ( product(X1,X2) = X1
    | ~ l(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,plain,
    ( l(esk3_2(X1,X2),X2)
    | ~ d(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_20,negated_conjecture,
    ~ ! [X11,X12] :
        ( d(X11,X12)
      <=> ( product(X11,product(X12,X11)) = X11
          & product(X12,product(X11,X12)) = X12 ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_21,plain,
    ( product(X1,product(X2,product(X1,esk3_2(X2,X3)))) = product(X1,esk3_2(X2,X3))
    | ~ d(X2,X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    ( product(X1,esk3_2(X2,X1)) = X1
    | ~ d(X2,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_23,negated_conjecture,
    ( ( ~ d(esk1_0,esk2_0)
      | product(esk1_0,product(esk2_0,esk1_0)) != esk1_0
      | product(esk2_0,product(esk1_0,esk2_0)) != esk2_0 )
    & ( product(esk1_0,product(esk2_0,esk1_0)) = esk1_0
      | d(esk1_0,esk2_0) )
    & ( product(esk2_0,product(esk1_0,esk2_0)) = esk2_0
      | d(esk1_0,esk2_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).

cnf(c_0_24,plain,
    ( product(X1,product(X2,X1)) = X1
    | ~ d(X2,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( product(esk2_0,product(esk1_0,esk2_0)) = esk2_0
    | d(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_26,plain,
    ( d(X1,X3)
    | ~ r(X1,X2)
    | ~ l(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_27,plain,
    ( r(X1,X2)
    | product(X1,X2) != X2
    | product(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_28,negated_conjecture,
    product(esk2_0,product(esk1_0,esk2_0)) = esk2_0,
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,plain,
    ( d(X1,X2)
    | product(X3,X1) != X1
    | product(X1,X3) != X3
    | ~ l(X3,X2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    product(esk2_0,product(esk1_0,product(esk2_0,X1))) = product(esk2_0,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_28]),c_0_8]) ).

cnf(c_0_31,plain,
    ( d(product(X1,X2),X3)
    | product(X1,product(X2,X1)) != X1
    | ~ l(X1,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_8]) ).

cnf(c_0_32,plain,
    product(X1,product(X2,product(X1,X2))) = product(X1,X2),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_33,negated_conjecture,
    ( product(esk2_0,product(esk1_0,esk3_2(esk2_0,X1))) = esk3_2(esk2_0,X1)
    | ~ d(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_17]) ).

cnf(c_0_34,plain,
    ( d(product(X1,product(X2,X1)),X3)
    | ~ l(product(X1,X2),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_12]),c_0_8]),c_0_9])]) ).

cnf(c_0_35,plain,
    product(X1,product(X2,product(X3,product(X1,product(X2,X3))))) = product(X1,product(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_32]),c_0_8]),c_0_8]) ).

cnf(c_0_36,plain,
    ( product(X1,product(esk3_2(X2,X1),X3)) = product(X1,X3)
    | ~ d(X2,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_22]) ).

cnf(c_0_37,negated_conjecture,
    ( esk3_2(esk2_0,esk1_0) = product(esk2_0,esk1_0)
    | ~ d(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_22]) ).

cnf(c_0_38,plain,
    ( d(product(X1,product(X2,product(X3,product(X1,X2)))),X4)
    | ~ l(product(X1,product(X2,X3)),X4) ),
    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_34,c_0_35]),c_0_8]),c_0_8]),c_0_9]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    ( product(esk1_0,product(esk2_0,product(esk1_0,X1))) = product(esk1_0,X1)
    | ~ d(esk2_0,esk1_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_8]) ).

cnf(c_0_40,plain,
    ( product(X1,X2) = X2
    | ~ r(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_41,negated_conjecture,
    ( d(esk1_0,X1)
    | ~ d(esk2_0,esk1_0)
    | ~ l(product(esk1_0,esk2_0),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_9]),c_0_9]),c_0_12]) ).

cnf(c_0_42,plain,
    ( l(X1,X2)
    | product(X1,X2) != X1
    | product(X2,X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_43,negated_conjecture,
    ( d(esk2_0,X1)
    | ~ l(product(esk2_0,esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_28]) ).

cnf(c_0_44,plain,
    product(X1,product(X2,product(X3,product(X1,product(X2,product(X3,X4)))))) = product(X1,product(X2,product(X3,X4))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_8]),c_0_8]) ).

cnf(c_0_45,plain,
    ( product(esk3_2(X1,X2),X1) = X1
    | ~ d(X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_14]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ d(esk1_0,esk2_0)
    | product(esk1_0,product(esk2_0,esk1_0)) != esk1_0
    | product(esk2_0,product(esk1_0,esk2_0)) != esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_47,negated_conjecture,
    ( d(esk1_0,X1)
    | product(esk1_0,product(esk2_0,X1)) != product(esk1_0,esk2_0)
    | product(X1,product(esk1_0,esk2_0)) != X1
    | ~ d(esk2_0,esk1_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_8]) ).

cnf(c_0_48,negated_conjecture,
    ( d(esk2_0,X1)
    | product(esk2_0,product(esk1_0,X1)) != product(esk2_0,esk1_0)
    | product(X1,product(esk2_0,esk1_0)) != X1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_8]) ).

cnf(c_0_49,negated_conjecture,
    product(X1,product(esk2_0,product(esk1_0,product(X1,product(esk2_0,X2))))) = product(X1,product(esk2_0,X2)),
    inference(spm,[status(thm)],[c_0_44,c_0_30]) ).

cnf(c_0_50,plain,
    product(X1,product(X2,product(X3,product(X2,product(X1,product(X2,X3)))))) = product(X1,product(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_9]),c_0_8]) ).

cnf(c_0_51,negated_conjecture,
    product(X1,product(esk2_0,product(esk1_0,product(X1,esk2_0)))) = product(X1,esk2_0),
    inference(spm,[status(thm)],[c_0_44,c_0_28]) ).

cnf(c_0_52,plain,
    ( product(esk3_2(X1,X2),product(X1,X3)) = product(X1,X3)
    | ~ d(X1,X2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    ( product(esk1_0,product(esk2_0,esk1_0)) != esk1_0
    | ~ d(esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_28])]) ).

cnf(c_0_54,negated_conjecture,
    ( d(esk1_0,X1)
    | product(esk1_0,product(esk2_0,X1)) != product(esk1_0,esk2_0)
    | product(esk1_0,product(esk2_0,esk1_0)) != esk1_0
    | product(X1,product(esk1_0,esk2_0)) != X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_9])]) ).

cnf(c_0_55,negated_conjecture,
    product(X1,product(esk2_0,product(X1,product(esk1_0,product(X1,esk2_0))))) = product(X1,esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).

cnf(c_0_56,plain,
    ( product(X1,X2) = X1
    | ~ l(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_57,plain,
    ( product(X1,product(esk3_2(X2,X3),product(X1,product(X2,X4)))) = product(X1,product(X2,X4))
    | ~ d(X2,X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    ( product(esk1_0,product(esk2_0,esk1_0)) = esk1_0
    | d(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_59,negated_conjecture,
    product(esk1_0,product(esk2_0,esk1_0)) != esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_9]),c_0_28])]) ).

cnf(c_0_60,negated_conjecture,
    product(esk2_0,product(X1,product(esk1_0,product(X1,esk2_0)))) = product(esk2_0,product(X1,esk2_0)),
    inference(spm,[status(thm)],[c_0_16,c_0_55]) ).

cnf(c_0_61,plain,
    ( product(esk3_2(X1,X2),X2) = esk3_2(X1,X2)
    | ~ d(X1,X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_19]) ).

cnf(c_0_62,negated_conjecture,
    ( product(esk2_0,product(esk3_2(esk1_0,X1),esk2_0)) = esk2_0
    | ~ d(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_28]) ).

cnf(c_0_63,negated_conjecture,
    d(esk1_0,esk2_0),
    inference(sr,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,plain,
    ( product(X1,product(esk3_2(X1,X2),X3)) = product(esk3_2(X1,X2),X3)
    | ~ d(X1,X2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_17]) ).

cnf(c_0_65,negated_conjecture,
    ( product(esk2_0,product(esk3_2(esk2_0,X1),product(esk1_0,esk2_0))) = esk2_0
    | ~ d(esk2_0,X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_45]),c_0_9]) ).

cnf(c_0_66,plain,
    ( product(esk3_2(X1,X2),product(X2,esk3_2(X1,X2))) = esk3_2(X1,X2)
    | ~ d(X1,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    product(esk2_0,esk3_2(esk1_0,esk2_0)) = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_63])]) ).

cnf(c_0_68,negated_conjecture,
    ( product(esk3_2(esk2_0,X1),product(esk1_0,esk2_0)) = esk2_0
    | ~ d(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,plain,
    ( d(X1,X2)
    | ~ l(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_9]),c_0_9])]) ).

cnf(c_0_70,negated_conjecture,
    product(esk3_2(esk1_0,esk2_0),esk2_0) = esk3_2(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_63])]) ).

cnf(c_0_71,negated_conjecture,
    ( product(X1,product(esk1_0,esk2_0)) = product(X1,esk2_0)
    | ~ d(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_68]) ).

cnf(c_0_72,plain,
    ( d(X1,X2)
    | product(X2,X1) != X2
    | product(X1,X2) != X1 ),
    inference(spm,[status(thm)],[c_0_69,c_0_42]) ).

cnf(c_0_73,negated_conjecture,
    product(esk3_2(esk1_0,esk2_0),product(esk2_0,X1)) = product(esk3_2(esk1_0,esk2_0),X1),
    inference(spm,[status(thm)],[c_0_8,c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    ( product(X1,product(esk1_0,esk2_0)) = product(X1,esk2_0)
    | product(esk2_0,X1) != esk2_0
    | product(X1,esk2_0) != X1 ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    product(esk3_2(esk1_0,esk2_0),product(esk1_0,esk2_0)) = esk3_2(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_9]),c_0_70]),c_0_9])]) ).

cnf(c_0_76,negated_conjecture,
    esk3_2(esk1_0,esk2_0) = product(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_75]),c_0_63])]) ).

cnf(c_0_77,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_76]),c_0_8]),c_0_63])]),c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem    : GRP775+1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 06:13:37 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.14/0.38  Running first-order theorem proving
% 0.14/0.38  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
% 0.14/0.49  # Version: 3.1.0
% 0.14/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.49  # Starting sh5l with 300s (1) cores
% 0.14/0.49  # new_bool_1 with pid 17686 completed with status 0
% 0.14/0.49  # Result found by new_bool_1
% 0.14/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.49  # Search class: FGHSS-FFSF22-SFFFFFNN
% 0.14/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.49  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.14/0.49  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 17690 completed with status 0
% 0.14/0.49  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.14/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.49  # Search class: FGHSS-FFSF22-SFFFFFNN
% 0.14/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.49  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.14/0.49  # Preprocessing time       : 0.001 s
% 0.14/0.49  # Presaturation interreduction done
% 0.14/0.49  
% 0.14/0.49  # Proof found!
% 0.14/0.49  # SZS status Theorem
% 0.14/0.49  # SZS output start CNFRefutation
% See solution above
% 0.14/0.49  # Parsed axioms                        : 6
% 0.14/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.49  # Initial clauses                      : 14
% 0.14/0.49  # Removed in clause preprocessing      : 0
% 0.14/0.49  # Initial clauses in saturation        : 14
% 0.14/0.49  # Processed clauses                    : 1072
% 0.14/0.49  # ...of these trivial                  : 48
% 0.14/0.49  # ...subsumed                          : 774
% 0.14/0.49  # ...remaining for further processing  : 250
% 0.14/0.49  # Other redundant clauses eliminated   : 0
% 0.14/0.49  # Clauses deleted for lack of memory   : 0
% 0.14/0.49  # Backward-subsumed                    : 44
% 0.14/0.49  # Backward-rewritten                   : 25
% 0.14/0.49  # Generated clauses                    : 10110
% 0.14/0.49  # ...of the previous two non-redundant : 7786
% 0.14/0.49  # ...aggressively subsumed             : 0
% 0.14/0.49  # Contextual simplify-reflections      : 3
% 0.14/0.49  # Paramodulations                      : 10109
% 0.14/0.49  # Factorizations                       : 0
% 0.14/0.49  # NegExts                              : 0
% 0.14/0.49  # Equation resolutions                 : 0
% 0.14/0.49  # Disequality decompositions           : 0
% 0.14/0.49  # Total rewrite steps                  : 19934
% 0.14/0.49  # ...of those cached                   : 16035
% 0.14/0.49  # Propositional unsat checks           : 0
% 0.14/0.49  #    Propositional check models        : 0
% 0.14/0.49  #    Propositional check unsatisfiable : 0
% 0.14/0.49  #    Propositional clauses             : 0
% 0.14/0.49  #    Propositional clauses after purity: 0
% 0.14/0.49  #    Propositional unsat core size     : 0
% 0.14/0.49  #    Propositional preprocessing time  : 0.000
% 0.14/0.49  #    Propositional encoding time       : 0.000
% 0.14/0.49  #    Propositional solver time         : 0.000
% 0.14/0.49  #    Success case prop preproc time    : 0.000
% 0.14/0.49  #    Success case prop encoding time   : 0.000
% 0.14/0.49  #    Success case prop solver time     : 0.000
% 0.14/0.49  # Current number of processed clauses  : 166
% 0.14/0.49  #    Positive orientable unit clauses  : 32
% 0.14/0.49  #    Positive unorientable unit clauses: 0
% 0.14/0.49  #    Negative unit clauses             : 2
% 0.14/0.49  #    Non-unit-clauses                  : 132
% 0.14/0.49  # Current number of unprocessed clauses: 6597
% 0.14/0.49  # ...number of literals in the above   : 19182
% 0.14/0.49  # Current number of archived formulas  : 0
% 0.14/0.49  # Current number of archived clauses   : 84
% 0.14/0.49  # Clause-clause subsumption calls (NU) : 5622
% 0.14/0.49  # Rec. Clause-clause subsumption calls : 5026
% 0.14/0.49  # Non-unit clause-clause subsumptions  : 796
% 0.14/0.49  # Unit Clause-clause subsumption calls : 80
% 0.14/0.49  # Rewrite failures with RHS unbound    : 0
% 0.14/0.49  # BW rewrite match attempts            : 158
% 0.14/0.49  # BW rewrite match successes           : 11
% 0.14/0.49  # Condensation attempts                : 0
% 0.14/0.49  # Condensation successes               : 0
% 0.14/0.49  # Termbank termtop insertions          : 178503
% 0.14/0.49  # Search garbage collected termcells   : 196
% 0.14/0.49  
% 0.14/0.49  # -------------------------------------------------
% 0.14/0.49  # User time                : 0.099 s
% 0.14/0.49  # System time              : 0.005 s
% 0.14/0.49  # Total time               : 0.104 s
% 0.14/0.49  # Maximum resident set size: 1732 pages
% 0.14/0.49  
% 0.14/0.49  # -------------------------------------------------
% 0.14/0.49  # User time                : 0.100 s
% 0.14/0.49  # System time              : 0.007 s
% 0.14/0.49  # Total time               : 0.106 s
% 0.14/0.49  # Maximum resident set size: 1696 pages
% 0.14/0.49  % E---3.1 exiting
% 0.14/0.49  % E exiting
%------------------------------------------------------------------------------