TSTP Solution File: SCT120+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SCT120+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 02:45:49 EDT 2024

% Result   : Theorem 117.90s 15.57s
% Output   : CNFRefutation 117.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   78 (  28 unt;   0 def)
%            Number of atoms       :  209 (  24 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  213 (  82   ~;  80   |;  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    :   24 (  24 usr;   6 con; 0-4 aty)
%            Number of variables   :  186 (  21 sgn 104   !;   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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).

fof(conj_0,hypothesis,
    ! [X3] :
      ( ! [X8] :
          ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X3,X8))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X3,X8))
          & 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(X3,X8)) )
     => ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X3))
        & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(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)),v_F(X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

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)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

fof(conj_3,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/sandbox2/benchmark/theBenchmark.p',conj_3) ).

fof(fact_trancl__id,axiom,
    ! [X6,X5] :
      ( c_Relation_Otrans(X5,X6)
     => c_Transitive__Closure_Otrancl(X5,X6) = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trancl__id) ).

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/sandbox2/benchmark/theBenchmark.p',fact_r__r__into__trancl) ).

fof(conj_1,hypothesis,
    ! [X78] :
      ( ! [X3] :
          ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X78,X3))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X78,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(X78,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(X78,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(X78)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_in__rel__def) ).

fof(c_0_15,plain,
    ! [X956,X957,X958,X959] :
      ( ( ~ hBOOL(hAPP(c_Set_Oinsert(X959,X958,X957),X956))
        | X958 = X956
        | hBOOL(hAPP(X957,X956)) )
      & ( X958 != X956
        | hBOOL(hAPP(c_Set_Oinsert(X959,X958,X957),X956)) )
      & ( ~ hBOOL(hAPP(X957,X956))
        | hBOOL(hAPP(c_Set_Oinsert(X959,X958,X957),X956)) ) ),
    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,
    ! [X945,X946,X947] :
      ( ~ c_member(X947,X946,X945)
      | c_Set_Oinsert(X947,X946,X945) = X945 ),
    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,
    ! [X152,X153,X154] :
      ( ( ~ c_member(X154,X153,X152)
        | hBOOL(hAPP(X152,X153)) )
      & ( ~ hBOOL(hAPP(X152,X153))
        | c_member(X154,X153,X152) ) ),
    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,
    ! [X2031] :
      ( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X2031))
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2031,esk87_1(X2031)))
        | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2031,esk88_1(X2031)))
        | ~ 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(X2031,esk89_1(X2031))) )
      & ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X2031))
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2031,esk87_1(X2031)))
        | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2031,esk88_1(X2031)))
        | ~ 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(X2031,esk89_1(X2031))) )
      & ( 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(X2031))
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2031,esk87_1(X2031)))
        | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2031,esk88_1(X2031)))
        | ~ 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(X2031,esk89_1(X2031))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])])])]) ).

fof(c_0_23,hypothesis,
    ! [X2041] :
      ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2041))
      & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2041))
      & 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,X2041)) ),
    inference(variable_rename,[status(thm)],[conj_2]) ).

fof(c_0_24,plain,
    ! [X84,X85,X86,X87,X88] :
      ( ( ~ c_Relation_Oirrefl(X85,X84)
        | ~ c_member(tc_prod(X85,X85),c_Product__Type_OPair(X85,X85,X86,X86),X84) )
      & ( c_member(tc_prod(X88,X88),c_Product__Type_OPair(X88,X88,esk2_2(X87,X88),esk2_2(X87,X88)),X87)
        | c_Relation_Oirrefl(X88,X87) ) ),
    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_3]) ).

fof(c_0_28,plain,
    ! [X701,X702] :
      ( ~ c_Relation_Otrans(X702,X701)
      | c_Transitive__Closure_Otrancl(X702,X701) = X701 ),
    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(X1))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk87_1(X1)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk88_1(X1)))
    | ~ 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(X1,esk89_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,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]) ).

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_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,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_34,plain,
    c_member(X1,X2,c_Set_Oinsert(X3,X2,X4)),
    inference(spm,[status(thm)],[c_0_25,c_0_20]) ).

fof(c_0_35,plain,
    ! [X705,X706,X707,X708,X709] :
      ( ~ c_member(tc_prod(X709,X709),c_Product__Type_OPair(X709,X709,X708,X707),X706)
      | ~ c_member(tc_prod(X709,X709),c_Product__Type_OPair(X709,X709,X707,X705),X706)
      | c_member(tc_prod(X709,X709),c_Product__Type_OPair(X709,X709,X708,X705),c_Transitive__Closure_Otrancl(X709,X706)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_r__r__into__trancl])])]) ).

cnf(c_0_36,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_37,plain,
    ( c_Transitive__Closure_Otrancl(X1,X2) = X2
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,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(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]) ).

fof(c_0_39,hypothesis,
    ! [X78] :
      ( ! [X3] :
          ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X78,X3))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X78,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(X78,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(X78,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(X78)) ) ) ),
    inference(fof_simplification,[status(thm)],[conj_1]) ).

cnf(c_0_40,plain,
    ~ c_Relation_Oirrefl(X1,c_Set_Oinsert(X2,c_Product__Type_OPair(X1,X1,X3,X3),X4)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,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_35]) ).

cnf(c_0_42,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_36]) ).

cnf(c_0_43,hypothesis,
    c_Transitive__Closure_Otrancl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) = v_F(v_P),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,hypothesis,
    ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X1))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk87_1(X1)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk88_1(X1)))
    | ~ 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(X1,esk89_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_45,hypothesis,
    ! [X2035,X2039,X2040] :
      ( ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2035,esk90_1(X2035)))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2035,esk91_1(X2035)))
      | ~ 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(X2035,esk92_1(X2035)))
      | X2039 = X2040
      | ~ 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,X2039,X2040),hAPP(X2035,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,X2039,X2040),v_F(X2035)) ),
    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_39])])])])])]) ).

fof(c_0_46,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_47,plain,
    ! [X115,X116] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X116,tc_HOL_Obool)),X115)),
    inference(variable_rename,[status(thm)],[fact_top1I]) ).

fof(c_0_48,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_49,plain,
    ( ~ c_Relation_Oirrefl(X1,X2)
    | ~ c_member(X3,c_Product__Type_OPair(X1,X1,X4,X4),X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_21]) ).

cnf(c_0_50,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_41,c_0_42]),c_0_43]) ).

cnf(c_0_51,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(spm,[status(thm)],[c_0_44,c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_52,hypothesis,
    ( X2 = 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,X3),v_F(X1))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk90_1(X1)))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk91_1(X1)))
    | ~ 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(X1,esk92_1(X1)))
    | ~ 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,X3),hAPP(X1,v_i)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_53,plain,
    ! [X90,X91,X92,X93,X94,X95,X96,X97] :
      ( ( ~ c_Relation_Ototal__on(X92,X91,X90)
        | ~ c_member(X92,X93,X91)
        | ~ c_member(X92,X94,X91)
        | X93 = X94
        | c_member(tc_prod(X92,X92),c_Product__Type_OPair(X92,X92,X93,X94),X90)
        | c_member(tc_prod(X92,X92),c_Product__Type_OPair(X92,X92,X94,X93),X90) )
      & ( c_member(X97,esk3_3(X95,X96,X97),X96)
        | c_Relation_Ototal__on(X97,X96,X95) )
      & ( c_member(X97,esk4_3(X95,X96,X97),X96)
        | c_Relation_Ototal__on(X97,X96,X95) )
      & ( esk3_3(X95,X96,X97) != esk4_3(X95,X96,X97)
        | c_Relation_Ototal__on(X97,X96,X95) )
      & ( ~ c_member(tc_prod(X97,X97),c_Product__Type_OPair(X97,X97,esk3_3(X95,X96,X97),esk4_3(X95,X96,X97)),X95)
        | c_Relation_Ototal__on(X97,X96,X95) )
      & ( ~ c_member(tc_prod(X97,X97),c_Product__Type_OPair(X97,X97,esk4_3(X95,X96,X97),esk3_3(X95,X96,X97)),X95)
        | c_Relation_Ototal__on(X97,X96,X95) ) ),
    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_46])])])])])])]) ).

cnf(c_0_54,plain,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_55,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_56,plain,
    ! [X857,X858,X859,X860,X861] :
      ( ( ~ c_Wellfounded_Oacyclic(X858,X857)
        | ~ c_member(tc_prod(X858,X858),c_Product__Type_OPair(X858,X858,X859,X859),c_Transitive__Closure_Otrancl(X858,X857)) )
      & ( c_member(tc_prod(X861,X861),c_Product__Type_OPair(X861,X861,esk67_2(X860,X861),esk67_2(X860,X861)),c_Transitive__Closure_Otrancl(X861,X860))
        | c_Wellfounded_Oacyclic(X861,X860) ) ),
    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_48])])])])])]) ).

fof(c_0_57,plain,
    ! [X155,X156,X157,X158,X159] :
      ( ( ~ c_FunDef_Oin__rel(X159,X158,X157,X156,X155)
        | c_member(tc_prod(X159,X158),c_Product__Type_OPair(X159,X158,X156,X155),X157) )
      & ( ~ c_member(tc_prod(X159,X158),c_Product__Type_OPair(X159,X158,X156,X155),X157)
        | c_FunDef_Oin__rel(X159,X158,X157,X156,X155) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_in__rel__def])])]) ).

cnf(c_0_58,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_49,c_0_50]),c_0_51])]) ).

cnf(c_0_59,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(spm,[status(thm)],[c_0_52,c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_60,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_53]) ).

cnf(c_0_61,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_54]) ).

fof(c_0_62,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_55]) ).

cnf(c_0_63,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_56]) ).

cnf(c_0_64,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_57]) ).

cnf(c_0_65,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_58,c_0_59]) ).

cnf(c_0_66,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_60,c_0_30]),c_0_61]),c_0_61])]) ).

cnf(c_0_67,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_62]) ).

cnf(c_0_68,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_56]) ).

cnf(c_0_69,plain,
    ( c_Wellfounded_Oacyclic(X1,X2)
    | ~ c_Relation_Oirrefl(X1,c_Transitive__Closure_Otrancl(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_63]) ).

cnf(c_0_70,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_64,c_0_42]) ).

cnf(c_0_71,hypothesis,
    v_b = v_a,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_72,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_68,c_0_43]) ).

cnf(c_0_73,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_69,c_0_43]),c_0_51])]) ).

cnf(c_0_74,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_57]) ).

cnf(c_0_75,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_70,c_0_71]) ).

cnf(c_0_76,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_72,c_0_73])]) ).

cnf(c_0_77,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem    : SCT120+1 : TPTP v8.2.0. Released v5.2.0.
% 0.09/0.16  % Command    : run_E %s %d THM
% 0.17/0.39  % Computer : n020.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Sun May 19 23:54:08 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.38/0.54  Running first-order model finding
% 0.38/0.54  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 117.90/15.57  # Version: 3.1.0
% 117.90/15.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 117.90/15.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.90/15.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 117.90/15.57  # Starting new_bool_3 with 300s (1) cores
% 117.90/15.57  # Starting new_bool_1 with 300s (1) cores
% 117.90/15.57  # Starting sh5l with 300s (1) cores
% 117.90/15.57  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 19808 completed with status 0
% 117.90/15.57  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 117.90/15.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 117.90/15.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.90/15.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 117.90/15.57  # No SInE strategy applied
% 117.90/15.57  # Search class: FGHSM-FSLM33-DFFFFFNN
% 117.90/15.57  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 117.90/15.57  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 117.90/15.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 117.90/15.57  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 117.90/15.57  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 117.90/15.57  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 117.90/15.57  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 19819 completed with status 0
% 117.90/15.57  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 117.90/15.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 117.90/15.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.90/15.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 117.90/15.57  # No SInE strategy applied
% 117.90/15.57  # Search class: FGHSM-FSLM33-DFFFFFNN
% 117.90/15.57  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 117.90/15.57  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 117.90/15.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 117.90/15.57  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 117.90/15.57  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 117.90/15.57  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 117.90/15.57  # Preprocessing time       : 0.013 s
% 117.90/15.57  # Presaturation interreduction done
% 117.90/15.57  
% 117.90/15.57  # Proof found!
% 117.90/15.57  # SZS status Theorem
% 117.90/15.57  # SZS output start CNFRefutation
% See solution above
% 117.90/15.57  # Parsed axioms                        : 527
% 117.90/15.57  # Removed by relevancy pruning/SinE    : 0
% 117.90/15.57  # Initial clauses                      : 790
% 117.90/15.57  # Removed in clause preprocessing      : 33
% 117.90/15.57  # Initial clauses in saturation        : 757
% 117.90/15.57  # Processed clauses                    : 18920
% 117.90/15.57  # ...of these trivial                  : 2996
% 117.90/15.57  # ...subsumed                          : 9169
% 117.90/15.57  # ...remaining for further processing  : 6755
% 117.90/15.57  # Other redundant clauses eliminated   : 3583
% 117.90/15.57  # Clauses deleted for lack of memory   : 0
% 117.90/15.57  # Backward-subsumed                    : 510
% 117.90/15.57  # Backward-rewritten                   : 396
% 117.90/15.57  # Generated clauses                    : 1124888
% 117.90/15.57  # ...of the previous two non-redundant : 1025543
% 117.90/15.57  # ...aggressively subsumed             : 0
% 117.90/15.57  # Contextual simplify-reflections      : 10
% 117.90/15.57  # Paramodulations                      : 1121287
% 117.90/15.57  # Factorizations                       : 14
% 117.90/15.57  # NegExts                              : 0
% 117.90/15.57  # Equation resolutions                 : 3598
% 117.90/15.57  # Disequality decompositions           : 0
% 117.90/15.57  # Total rewrite steps                  : 177760
% 117.90/15.57  # ...of those cached                   : 142578
% 117.90/15.57  # Propositional unsat checks           : 0
% 117.90/15.57  #    Propositional check models        : 0
% 117.90/15.57  #    Propositional check unsatisfiable : 0
% 117.90/15.57  #    Propositional clauses             : 0
% 117.90/15.57  #    Propositional clauses after purity: 0
% 117.90/15.57  #    Propositional unsat core size     : 0
% 117.90/15.57  #    Propositional preprocessing time  : 0.000
% 117.90/15.57  #    Propositional encoding time       : 0.000
% 117.90/15.57  #    Propositional solver time         : 0.000
% 117.90/15.57  #    Success case prop preproc time    : 0.000
% 117.90/15.57  #    Success case prop encoding time   : 0.000
% 117.90/15.57  #    Success case prop solver time     : 0.000
% 117.90/15.57  # Current number of processed clauses  : 5170
% 117.90/15.57  #    Positive orientable unit clauses  : 2817
% 117.90/15.57  #    Positive unorientable unit clauses: 11
% 117.90/15.57  #    Negative unit clauses             : 298
% 117.90/15.57  #    Non-unit-clauses                  : 2044
% 117.90/15.57  # Current number of unprocessed clauses: 988987
% 117.90/15.57  # ...number of literals in the above   : 2350715
% 117.90/15.57  # Current number of archived formulas  : 0
% 117.90/15.57  # Current number of archived clauses   : 1520
% 117.90/15.57  # Clause-clause subsumption calls (NU) : 866803
% 117.90/15.57  # Rec. Clause-clause subsumption calls : 517124
% 117.90/15.57  # Non-unit clause-clause subsumptions  : 5833
% 117.90/15.57  # Unit Clause-clause subsumption calls : 76392
% 117.90/15.57  # Rewrite failures with RHS unbound    : 315
% 117.90/15.57  # BW rewrite match attempts            : 566704
% 117.90/15.57  # BW rewrite match successes           : 503
% 117.90/15.57  # Condensation attempts                : 0
% 117.90/15.57  # Condensation successes               : 0
% 117.90/15.57  # Termbank termtop insertions          : 18833636
% 117.90/15.57  # Search garbage collected termcells   : 11551
% 117.90/15.57  
% 117.90/15.57  # -------------------------------------------------
% 117.90/15.57  # User time                : 13.986 s
% 117.90/15.57  # System time              : 0.586 s
% 117.90/15.57  # Total time               : 14.572 s
% 117.90/15.57  # Maximum resident set size: 5424 pages
% 117.90/15.57  
% 117.90/15.57  # -------------------------------------------------
% 117.90/15.57  # User time                : 70.889 s
% 117.90/15.57  # System time              : 2.178 s
% 117.90/15.57  # Total time               : 73.067 s
% 117.90/15.57  # Maximum resident set size: 2424 pages
% 117.90/15.57  % E---3.1 exiting
%------------------------------------------------------------------------------