TSTP Solution File: SCT122+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SCT122+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 21 02:44:58 EDT 2024

% Result   : Theorem 109.28s 14.39s
% Output   : CNFRefutation 109.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   80 (  28 unt;   0 def)
%            Number of atoms       :  214 (  25 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  218 (  84   ~;  83   |;  25   &)
%                                         (   9 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-5 aty)
%            Number of functors    :   20 (  20 usr;   8 con; 0-4 aty)
%            Number of variables   :  185 (  24 sgn  99   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_insert__code,axiom,
    ! [X4,X7,X17,X5] :
      ( hBOOL(hAPP(c_Set_Oinsert(X5,X17,X7),X4))
    <=> ( X17 = X4
        | hBOOL(hAPP(X7,X4)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__code) ).

fof(fact_insert__absorb,axiom,
    ! [X7,X13,X5] :
      ( c_member(X5,X13,X7)
     => c_Set_Oinsert(X5,X13,X7) = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__absorb) ).

fof(fact_irrefl__def,axiom,
    ! [X6,X5] :
      ( c_Relation_Oirrefl(X5,X6)
    <=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_irrefl__def) ).

fof(fact_mem__def,axiom,
    ! [X7,X4,X5] :
      ( c_member(X5,X4,X7)
    <=> hBOOL(hAPP(X7,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).

fof(conj_2,hypothesis,
    ( ! [X3] :
        ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X3))
        & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X3))
        & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X3)) )
   => ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
      & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
      & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

fof(conj_0,hypothesis,
    ! [X3] :
      ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X3))
      & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X3))
      & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(conj_1,hypothesis,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(fact_trancl__id,axiom,
    ! [X6,X5] :
      ( c_Relation_Otrans(X5,X6)
     => c_Transitive__Closure_Otrancl(X5,X6) = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_trancl__id) ).

fof(conj_3,hypothesis,
    ( ! [X3] :
        ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X3))
        & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X3))
        & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X3)) )
   => ! [X38,X39] :
        ( X38 != X39
       => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X38,X39),hAPP(v_P,v_i))
         => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X38,X39),v_F(v_P)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

fof(fact_r__r__into__trancl,axiom,
    ! [X11,X19,X12,X13,X5] :
      ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X12),X19)
     => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X12,X11),X19)
       => c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X13,X11),c_Transitive__Closure_Otrancl(X5,X19)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_r__r__into__trancl) ).

fof(fact_total__on__def,axiom,
    ! [X6,X7,X5] :
      ( c_Relation_Ototal__on(X5,X7,X6)
    <=> ! [X3] :
          ( c_member(X5,X3,X7)
         => ! [X8] :
              ( c_member(X5,X8,X7)
             => ( X3 != X8
               => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X8),X6)
                  | c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X8,X3),X6) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_total__on__def) ).

fof(fact_top1I,axiom,
    ! [X4,X5] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_top1I) ).

fof(fact_acyclic__def,axiom,
    ! [X6,X5] :
      ( c_Wellfounded_Oacyclic(X5,X6)
    <=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),c_Transitive__Closure_Otrancl(X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_acyclic__def) ).

fof(conj_4,conjecture,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

fof(fact_in__rel__def,axiom,
    ! [X17,X4,X19,X18,X5] :
      ( c_FunDef_Oin__rel(X5,X18,X19,X4,X17)
    <=> c_member(tc_prod(X5,X18),c_Product__Type_OPair(X5,X18,X4,X17),X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_in__rel__def) ).

fof(c_0_15,plain,
    ! [X955,X956,X957,X958] :
      ( ( ~ hBOOL(hAPP(c_Set_Oinsert(X958,X957,X956),X955))
        | X957 = X955
        | hBOOL(hAPP(X956,X955)) )
      & ( X957 != X955
        | hBOOL(hAPP(c_Set_Oinsert(X958,X957,X956),X955)) )
      & ( ~ hBOOL(hAPP(X956,X955))
        | hBOOL(hAPP(c_Set_Oinsert(X958,X957,X956),X955)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__code])])])]) ).

cnf(c_0_16,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_17,plain,
    ! [X944,X945,X946] :
      ( ~ c_member(X946,X945,X944)
      | c_Set_Oinsert(X946,X945,X944) = X944 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__absorb])])]) ).

fof(c_0_18,plain,
    ! [X6,X5] :
      ( c_Relation_Oirrefl(X5,X6)
    <=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),X6) ),
    inference(fof_simplification,[status(thm)],[fact_irrefl__def]) ).

fof(c_0_19,plain,
    ! [X151,X152,X153] :
      ( ( ~ c_member(X153,X152,X151)
        | hBOOL(hAPP(X151,X152)) )
      & ( ~ hBOOL(hAPP(X151,X152))
        | c_member(X153,X152,X151) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).

cnf(c_0_20,plain,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X2)),
    inference(er,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X3
    | ~ c_member(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,hypothesis,
    ( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk87_0)) )
    & ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk87_0)) )
    & ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk87_0)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_2])])])])]) ).

fof(c_0_23,hypothesis,
    ! [X2030] :
      ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2030))
      & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2030))
      & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X2030)) ),
    inference(variable_rename,[status(thm)],[conj_0]) ).

fof(c_0_24,plain,
    ! [X83,X84,X85,X86,X87] :
      ( ( ~ c_Relation_Oirrefl(X84,X83)
        | ~ c_member(tc_prod(X84,X84),c_Product__Type_OPair(X84,X84,X85,X85),X83) )
      & ( c_member(tc_prod(X87,X87),c_Product__Type_OPair(X87,X87,esk2_2(X86,X87),esk2_2(X86,X87)),X86)
        | c_Relation_Oirrefl(X87,X86) ) ),
    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)],[c_0_18])])])])])]) ).

cnf(c_0_25,plain,
    ( c_member(X3,X2,X1)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_member(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,hypothesis,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

fof(c_0_28,plain,
    ! [X700,X701] :
      ( ~ c_Relation_Otrans(X701,X700)
      | c_Transitive__Closure_Otrancl(X701,X700) = X700 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trancl__id])])]) ).

cnf(c_0_29,hypothesis,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk87_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,hypothesis,
    c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,hypothesis,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,hypothesis,
    c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X1)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_33,hypothesis,
    ( ! [X3] :
        ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X3))
        & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X3))
        & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X3)) )
   => ! [X38,X39] :
        ( X38 != X39
       => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X38,X39),hAPP(v_P,v_i))
         => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X38,X39),v_F(v_P)) ) ) ),
    inference(fof_simplification,[status(thm)],[conj_3]) ).

cnf(c_0_34,plain,
    ( ~ c_Relation_Oirrefl(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,plain,
    c_member(X1,X2,c_Set_Oinsert(X3,X2,X4)),
    inference(spm,[status(thm)],[c_0_25,c_0_20]) ).

fof(c_0_36,plain,
    ! [X704,X705,X706,X707,X708] :
      ( ~ c_member(tc_prod(X708,X708),c_Product__Type_OPair(X708,X708,X707,X706),X705)
      | ~ c_member(tc_prod(X708,X708),c_Product__Type_OPair(X708,X708,X706,X704),X705)
      | c_member(tc_prod(X708,X708),c_Product__Type_OPair(X708,X708,X707,X704),c_Transitive__Closure_Otrancl(X708,X705)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_r__r__into__trancl])])]) ).

cnf(c_0_37,hypothesis,
    hBOOL(hAPP(v_F(v_P),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b))),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_38,plain,
    ( c_Transitive__Closure_Otrancl(X1,X2) = X2
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39,hypothesis,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]) ).

fof(c_0_40,hypothesis,
    ! [X2033,X2034] :
      ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk88_0))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk88_0))
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk88_0))
      | X2033 = X2034
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2033,X2034),hAPP(v_P,v_i))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2033,X2034),v_F(v_P)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).

cnf(c_0_41,plain,
    ~ c_Relation_Oirrefl(X1,c_Set_Oinsert(X2,c_Product__Type_OPair(X1,X1,X3,X3),X4)),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4))
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,hypothesis,
    c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
    inference(spm,[status(thm)],[c_0_25,c_0_37]) ).

cnf(c_0_44,hypothesis,
    c_Transitive__Closure_Otrancl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) = v_F(v_P),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,hypothesis,
    ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk87_0))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk87_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_46,hypothesis,
    ( X1 = X2
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk88_0))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk88_0))
    | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk88_0))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i)) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_47,plain,
    ! [X6,X7,X5] :
      ( c_Relation_Ototal__on(X5,X7,X6)
    <=> ! [X3] :
          ( c_member(X5,X3,X7)
         => ! [X8] :
              ( c_member(X5,X8,X7)
             => ( X3 != X8
               => ( c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X8),X6)
                  | c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X8,X3),X6) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_total__on__def]) ).

fof(c_0_48,plain,
    ! [X114,X115] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X115,tc_HOL_Obool)),X114)),
    inference(variable_rename,[status(thm)],[fact_top1I]) ).

fof(c_0_49,plain,
    ! [X6,X5] :
      ( c_Wellfounded_Oacyclic(X5,X6)
    <=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),c_Transitive__Closure_Otrancl(X5,X6)) ),
    inference(fof_simplification,[status(thm)],[fact_acyclic__def]) ).

cnf(c_0_50,plain,
    ( ~ c_Relation_Oirrefl(X1,X2)
    | ~ c_member(X3,c_Product__Type_OPair(X1,X1,X4,X4),X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_21]) ).

cnf(c_0_51,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_b),v_F(v_P))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_a),v_F(v_P)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_52,hypothesis,
    c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_53,plain,
    ( c_member(X1,X2,X3)
    | ~ c_member(X4,X2,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_21]) ).

cnf(c_0_54,hypothesis,
    ( X1 = X2
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_30]),c_0_31]),c_0_32])]) ).

fof(c_0_55,plain,
    ! [X89,X90,X91,X92,X93,X94,X95,X96] :
      ( ( ~ c_Relation_Ototal__on(X91,X90,X89)
        | ~ c_member(X91,X92,X90)
        | ~ c_member(X91,X93,X90)
        | X92 = X93
        | c_member(tc_prod(X91,X91),c_Product__Type_OPair(X91,X91,X92,X93),X89)
        | c_member(tc_prod(X91,X91),c_Product__Type_OPair(X91,X91,X93,X92),X89) )
      & ( c_member(X96,esk3_3(X94,X95,X96),X95)
        | c_Relation_Ototal__on(X96,X95,X94) )
      & ( c_member(X96,esk4_3(X94,X95,X96),X95)
        | c_Relation_Ototal__on(X96,X95,X94) )
      & ( esk3_3(X94,X95,X96) != esk4_3(X94,X95,X96)
        | c_Relation_Ototal__on(X96,X95,X94) )
      & ( ~ c_member(tc_prod(X96,X96),c_Product__Type_OPair(X96,X96,esk3_3(X94,X95,X96),esk4_3(X94,X95,X96)),X94)
        | c_Relation_Ototal__on(X96,X95,X94) )
      & ( ~ c_member(tc_prod(X96,X96),c_Product__Type_OPair(X96,X96,esk4_3(X94,X95,X96),esk3_3(X94,X95,X96)),X94)
        | c_Relation_Ototal__on(X96,X95,X94) ) ),
    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)],[c_0_47])])])])])])]) ).

cnf(c_0_56,plain,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

fof(c_0_57,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_4])]) ).

fof(c_0_58,plain,
    ! [X856,X857,X858,X859,X860] :
      ( ( ~ c_Wellfounded_Oacyclic(X857,X856)
        | ~ c_member(tc_prod(X857,X857),c_Product__Type_OPair(X857,X857,X858,X858),c_Transitive__Closure_Otrancl(X857,X856)) )
      & ( c_member(tc_prod(X860,X860),c_Product__Type_OPair(X860,X860,esk67_2(X859,X860),esk67_2(X859,X860)),c_Transitive__Closure_Otrancl(X860,X859))
        | c_Wellfounded_Oacyclic(X860,X859) ) ),
    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)],[c_0_49])])])])])]) ).

fof(c_0_59,plain,
    ! [X154,X155,X156,X157,X158] :
      ( ( ~ c_FunDef_Oin__rel(X158,X157,X156,X155,X154)
        | c_member(tc_prod(X158,X157),c_Product__Type_OPair(X158,X157,X155,X154),X156) )
      & ( ~ c_member(tc_prod(X158,X157),c_Product__Type_OPair(X158,X157,X155,X154),X156)
        | c_FunDef_Oin__rel(X158,X157,X156,X155,X154) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_in__rel__def])])]) ).

cnf(c_0_60,hypothesis,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).

cnf(c_0_61,hypothesis,
    ( X1 = X2
    | c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_62,plain,
    ( X4 = X5
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X5),X3)
    | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X4),X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_member(X1,X4,X2)
    | ~ c_member(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,plain,
    c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),
    inference(spm,[status(thm)],[c_0_25,c_0_56]) ).

fof(c_0_64,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(fof_nnf,[status(thm)],[c_0_57]) ).

cnf(c_0_65,plain,
    ( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk67_2(X2,X1),esk67_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2))
    | c_Wellfounded_Oacyclic(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_66,plain,
    ( c_FunDef_Oin__rel(X1,X2,X5,X3,X4)
    | ~ c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_67,hypothesis,
    ( v_b = v_a
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),hAPP(v_P,v_i)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_68,hypothesis,
    ( X1 = X2
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,X3))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),hAPP(v_P,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_32]),c_0_63]),c_0_63])]) ).

cnf(c_0_69,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_70,plain,
    ( ~ c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),c_Transitive__Closure_Otrancl(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_71,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Relation_Oirrefl(X1,c_Transitive__Closure_Otrancl(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_65]) ).

cnf(c_0_72,hypothesis,
    c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P),v_a,v_b),
    inference(spm,[status(thm)],[c_0_66,c_0_43]) ).

cnf(c_0_73,hypothesis,
    v_b = v_a,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_74,hypothesis,
    ( ~ c_Wellfounded_Oacyclic(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_F(v_P)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_44]) ).

cnf(c_0_75,hypothesis,
    c_Wellfounded_Oacyclic(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_44]),c_0_52])]) ).

cnf(c_0_76,plain,
    ( c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X4,X5),X3)
    | ~ c_FunDef_Oin__rel(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_77,hypothesis,
    c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P),v_a,v_a),
    inference(rw,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_78,hypothesis,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_F(v_P)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).

cnf(c_0_79,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SCT122+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n008.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon May 20 00:09:38 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 109.28/14.39  # Version: 3.1.0
% 109.28/14.39  # Preprocessing class: FSLSSMSSSSSNFFN.
% 109.28/14.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.28/14.39  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 109.28/14.39  # Starting new_bool_3 with 300s (1) cores
% 109.28/14.39  # Starting new_bool_1 with 300s (1) cores
% 109.28/14.39  # Starting sh5l with 300s (1) cores
% 109.28/14.39  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 32101 completed with status 0
% 109.28/14.39  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 109.28/14.39  # Preprocessing class: FSLSSMSSSSSNFFN.
% 109.28/14.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.28/14.39  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 109.28/14.39  # No SInE strategy applied
% 109.28/14.39  # Search class: FGHSM-FSLM33-DFFFFFNN
% 109.28/14.39  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 109.28/14.39  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 109.28/14.39  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 109.28/14.39  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 109.28/14.39  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 109.28/14.39  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 109.28/14.39  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 32112 completed with status 0
% 109.28/14.39  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 109.28/14.39  # Preprocessing class: FSLSSMSSSSSNFFN.
% 109.28/14.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.28/14.39  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 109.28/14.39  # No SInE strategy applied
% 109.28/14.39  # Search class: FGHSM-FSLM33-DFFFFFNN
% 109.28/14.39  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 109.28/14.39  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 109.28/14.39  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 109.28/14.39  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 109.28/14.39  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 109.28/14.39  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 109.28/14.39  # Preprocessing time       : 0.011 s
% 109.28/14.39  # Presaturation interreduction done
% 109.28/14.39  
% 109.28/14.39  # Proof found!
% 109.28/14.39  # SZS status Theorem
% 109.28/14.39  # SZS output start CNFRefutation
% See solution above
% 109.28/14.39  # Parsed axioms                        : 527
% 109.28/14.39  # Removed by relevancy pruning/SinE    : 0
% 109.28/14.39  # Initial clauses                      : 790
% 109.28/14.39  # Removed in clause preprocessing      : 33
% 109.28/14.39  # Initial clauses in saturation        : 757
% 109.28/14.39  # Processed clauses                    : 18751
% 109.28/14.39  # ...of these trivial                  : 3018
% 109.28/14.39  # ...subsumed                          : 8768
% 109.28/14.39  # ...remaining for further processing  : 6965
% 109.28/14.39  # Other redundant clauses eliminated   : 1340
% 109.28/14.39  # Clauses deleted for lack of memory   : 0
% 109.28/14.39  # Backward-subsumed                    : 502
% 109.28/14.39  # Backward-rewritten                   : 433
% 109.28/14.39  # Generated clauses                    : 974094
% 109.28/14.39  # ...of the previous two non-redundant : 873136
% 109.28/14.39  # ...aggressively subsumed             : 0
% 109.28/14.39  # Contextual simplify-reflections      : 10
% 109.28/14.39  # Paramodulations                      : 972748
% 109.28/14.39  # Factorizations                       : 2
% 109.28/14.39  # NegExts                              : 0
% 109.28/14.39  # Equation resolutions                 : 1355
% 109.28/14.39  # Disequality decompositions           : 0
% 109.28/14.39  # Total rewrite steps                  : 231927
% 109.28/14.39  # ...of those cached                   : 197521
% 109.28/14.39  # Propositional unsat checks           : 0
% 109.28/14.39  #    Propositional check models        : 0
% 109.28/14.39  #    Propositional check unsatisfiable : 0
% 109.28/14.39  #    Propositional clauses             : 0
% 109.28/14.39  #    Propositional clauses after purity: 0
% 109.28/14.39  #    Propositional unsat core size     : 0
% 109.28/14.39  #    Propositional preprocessing time  : 0.000
% 109.28/14.39  #    Propositional encoding time       : 0.000
% 109.28/14.39  #    Propositional solver time         : 0.000
% 109.28/14.39  #    Success case prop preproc time    : 0.000
% 109.28/14.39  #    Success case prop encoding time   : 0.000
% 109.28/14.39  #    Success case prop solver time     : 0.000
% 109.28/14.39  # Current number of processed clauses  : 5351
% 109.28/14.39  #    Positive orientable unit clauses  : 2945
% 109.28/14.39  #    Positive unorientable unit clauses: 11
% 109.28/14.39  #    Negative unit clauses             : 278
% 109.28/14.39  #    Non-unit-clauses                  : 2117
% 109.28/14.39  # Current number of unprocessed clauses: 837663
% 109.28/14.39  # ...number of literals in the above   : 1804270
% 109.28/14.39  # Current number of archived formulas  : 0
% 109.28/14.39  # Current number of archived clauses   : 1549
% 109.28/14.39  # Clause-clause subsumption calls (NU) : 855483
% 109.28/14.39  # Rec. Clause-clause subsumption calls : 521936
% 109.28/14.39  # Non-unit clause-clause subsumptions  : 5346
% 109.28/14.39  # Unit Clause-clause subsumption calls : 75960
% 109.28/14.39  # Rewrite failures with RHS unbound    : 309
% 109.28/14.39  # BW rewrite match attempts            : 631196
% 109.28/14.39  # BW rewrite match successes           : 534
% 109.28/14.39  # Condensation attempts                : 0
% 109.28/14.39  # Condensation successes               : 0
% 109.28/14.39  # Termbank termtop insertions          : 15779757
% 109.28/14.39  # Search garbage collected termcells   : 11507
% 109.28/14.39  
% 109.28/14.39  # -------------------------------------------------
% 109.28/14.39  # User time                : 12.991 s
% 109.28/14.39  # System time              : 0.547 s
% 109.28/14.39  # Total time               : 13.538 s
% 109.28/14.39  # Maximum resident set size: 5440 pages
% 109.28/14.39  
% 109.28/14.39  # -------------------------------------------------
% 109.28/14.39  # User time                : 65.799 s
% 109.28/14.39  # System time              : 2.016 s
% 109.28/14.39  # Total time               : 67.815 s
% 109.28/14.39  # Maximum resident set size: 2424 pages
% 109.28/14.39  % E---3.1 exiting
% 109.28/14.39  % E exiting
%------------------------------------------------------------------------------