TSTP Solution File: SCT077-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SCT077-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:17:16 EDT 2023

% Result   : Unsatisfiable 36.78s 5.17s
% Output   : CNFRefutation 36.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   54 (  48 unt;   0 nHn;  14 RR)
%            Number of literals    :   64 (  38 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   15 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  10 con; 0-3 aty)
%            Number of variables   :  142 (  31 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Collect__mem__eq_0,axiom,
    hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_Collect__mem__eq_0) ).

cnf(cls_Collect__def_0,axiom,
    hAPP(c_Collect(X1),X2) = X2,
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_Collect__def_0) ).

cnf(cls_vimage__Collect__eq_0,axiom,
    hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Collect(X3),X4)) = hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(X3,tc_bool,X2),X4),X1)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_vimage__Collect__eq_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(hAPP(c_COMBB(tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_HOL_Oord__class_Oless(tc_nat)),v_h____)),v_n))),v_Lab____)),v_Lba____)),hAPP(c_Collect(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_bool,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_All(tc_Arrow__Order__Mirabelle_Oindi)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_implies),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_bool),c_in(tc_Arrow__Order__Mirabelle_Oindi)),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)))))),hAPP(hAPP(c_COMBC(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool)),tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),c_Arrow__Order__Mirabelle_OLin)))))),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_conjecture_0) ).

cnf(cls_COMBC__def_0,axiom,
    hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_COMBC__def_0) ).

cnf(cls_vimage__def_0,axiom,
    hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(c_Collect(X2),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_bool),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),tc_bool),X2),c_in(X3)),X1)),X4)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_vimage__def_0) ).

cnf(cls_Collect__imp__eq_0,axiom,
    hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2)),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2))),hAPP(c_Collect(X1),X3)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_Collect__imp__eq_0) ).

cnf(cls_vimage__if_0,axiom,
    ( hAPP(c_Set_Ovimage(hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBC(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(X2,tc_fun(X2,X2)),X1),c_HOL_OIf(X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3))),X4)),X5),X1,X2),X6) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X6))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X6)) ),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_vimage__if_0) ).

cnf(cls_INTER__def_0,axiom,
    hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4) = hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,tc_bool),tc_bool),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool)),X2),c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1)),c_in(X2))),X4)))),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_INTER__def_0) ).

cnf(cls_COMBB__def_0,axiom,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_COMBB__def_0) ).

cnf(cls_Compl__UNIV__eq_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_Compl__UNIV__eq_0) ).

cnf(cls_Un__empty__left_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = X2,
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_Un__empty__left_0) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_mem__def_0) ).

cnf(cls_CHAINED_0,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_CHAINED_0) ).

cnf(cls_CHAINED_0_01,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lab____),c_Arrow__Order__Mirabelle_OLin)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_CHAINED_0_01) ).

cnf(cls_Compl__empty__eq_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_Compl__empty__eq_0) ).

cnf(cls_Un__UNIV__left_0,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_Un__UNIV__left_0) ).

cnf(cls_INT__empty_0,axiom,
    hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_INT__empty_0) ).

cnf(cls_top1I_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
    file('/export/starexec/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p',cls_top1I_0) ).

cnf(c_0_19,axiom,
    hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)) = X2,
    cls_Collect__mem__eq_0 ).

cnf(c_0_20,axiom,
    hAPP(c_Collect(X1),X2) = X2,
    cls_Collect__def_0 ).

cnf(c_0_21,axiom,
    hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Collect(X3),X4)) = hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(X3,tc_bool,X2),X4),X1)),
    cls_vimage__Collect__eq_0 ).

cnf(c_0_22,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(hAPP(c_COMBB(tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_HOL_Oord__class_Oless(tc_nat)),v_h____)),v_n))),v_Lab____)),v_Lba____)),hAPP(c_Collect(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_bool,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_All(tc_Arrow__Order__Mirabelle_Oindi)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_implies),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_bool),c_in(tc_Arrow__Order__Mirabelle_Oindi)),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)))))),hAPP(hAPP(c_COMBC(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool)),tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),c_Arrow__Order__Mirabelle_OLin)))))),
    cls_conjecture_0 ).

cnf(c_0_23,plain,
    hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2) = X2,
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,axiom,
    hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
    cls_COMBC__def_0 ).

cnf(c_0_25,axiom,
    hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(c_Collect(X2),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_bool),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),tc_bool),X2),c_in(X3)),X1)),X4)),
    cls_vimage__def_0 ).

cnf(c_0_26,plain,
    hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(hAPP(c_COMBB(X3,tc_bool,X2),X4),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_20]),c_0_20]) ).

cnf(c_0_27,axiom,
    hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2)),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2))),hAPP(c_Collect(X1),X3)),
    cls_Collect__imp__eq_0 ).

cnf(c_0_28,axiom,
    ( hAPP(c_Set_Ovimage(hAPP(hAPP(c_COMBC(X1,X2,X2),hAPP(hAPP(c_COMBC(X1,X2,tc_fun(X2,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(X2,tc_fun(X2,X2)),X1),c_HOL_OIf(X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3))),X4)),X5),X1,X2),X6) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X6))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X6)) ),
    cls_vimage__if_0 ).

cnf(c_0_29,axiom,
    hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4) = hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,tc_bool),tc_bool),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool)),X2),c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1)),c_in(X2))),X4)))),
    cls_INTER__def_0 ).

cnf(c_0_30,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(hAPP(c_COMBB(tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_HOL_Oord__class_Oless(tc_nat)),v_h____)),v_n))),v_Lab____)),v_Lba____)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_bool,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_All(tc_Arrow__Order__Mirabelle_Oindi)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_implies),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))))),hAPP(hAPP(c_COMBC(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool)),tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),c_Arrow__Order__Mirabelle_OLin))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_20]) ).

cnf(c_0_31,plain,
    hAPP(hAPP(c_in(X1),X2),X3) = hAPP(X3,X2),
    inference(spm,[status(thm)],[c_0_24,c_0_23]) ).

cnf(c_0_32,axiom,
    hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
    cls_COMBB__def_0 ).

cnf(c_0_33,plain,
    hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_bool),hAPP(hAPP(c_COMBB(X2,tc_fun(tc_fun(X2,tc_bool),tc_bool),X1),c_in(X2)),X3)),X4) = hAPP(hAPP(c_COMBB(X2,tc_bool,X1),X4),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_20]),c_0_26]) ).

cnf(c_0_34,plain,
    hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_20]),c_0_20]),c_0_20]) ).

cnf(c_0_35,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Compl__UNIV__eq_0 ).

cnf(c_0_36,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = X2,
    cls_Un__empty__left_0 ).

cnf(c_0_37,plain,
    ( hAPP(hAPP(c_COMBB(X1,tc_bool,X2),X3),hAPP(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBC(X2,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),c_HOL_OIf(X1)),X4)),X5)),X6)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X6),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_23]),c_0_26]) ).

cnf(c_0_38,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    cls_mem__def_0 ).

cnf(c_0_39,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
    cls_CHAINED_0 ).

cnf(c_0_40,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lab____),c_Arrow__Order__Mirabelle_OLin)),
    cls_CHAINED_0_01 ).

cnf(c_0_41,plain,
    hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X3))),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,tc_bool),tc_bool),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool)),X2),c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1)),c_in(X2))),X4))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_23]),c_0_20]) ).

cnf(c_0_42,negated_conjecture,
    ~ hBOOL(hAPP(c_All(tc_Arrow__Order__Mirabelle_Oindi),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool,tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OLin),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(hAPP(c_COMBB(tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_HOL_Oord__class_Oless(tc_nat)),v_h____)),v_n))),v_Lab____)),v_Lba____)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_32]),c_0_24]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]) ).

cnf(c_0_43,plain,
    ( hAPP(hAPP(c_COMBB(X1,tc_bool,X2),X3),hAPP(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBC(X2,X1,tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(X1,tc_fun(X1,X1)),X2),c_HOL_OIf(X1)),X4)),X5)),X6)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(X3,X6))
    | ~ hBOOL(hAPP(X3,X5)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_31]),c_0_31]) ).

cnf(c_0_44,plain,
    hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_Lba____)),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,plain,
    hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_Lab____)),
    inference(spm,[status(thm)],[c_0_38,c_0_40]) ).

cnf(c_0_46,plain,
    hAPP(c_All(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X1),hAPP(c_in(X3),X4)),X5))) = hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X3,tc_bool)),X2),X5),X4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_41]),c_0_32]),c_0_24]),c_0_32]),c_0_34]) ).

cnf(c_0_47,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    cls_Compl__empty__eq_0 ).

cnf(c_0_48,axiom,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    cls_Un__UNIV__left_0 ).

cnf(c_0_49,axiom,
    hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    cls_INT__empty_0 ).

cnf(c_0_50,negated_conjecture,
    ~ hBOOL(hAPP(c_All(tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45])]) ).

cnf(c_0_51,plain,
    hAPP(c_All(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).

cnf(c_0_52,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
    cls_top1I_0 ).

cnf(c_0_53,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SCT077-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 11:51:00 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.50  Running first-order model finding
% 0.16/0.50  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.GOJlZa66Wy/E---3.1_3109.p
% 36.78/5.17  # Version: 3.1pre001
% 36.78/5.17  # Preprocessing class: FSLMSMSMSSSNFFN.
% 36.78/5.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.78/5.17  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 36.78/5.17  # Starting new_bool_3 with 600s (2) cores
% 36.78/5.17  # Starting new_bool_1 with 300s (1) cores
% 36.78/5.17  # Starting sh5l with 300s (1) cores
% 36.78/5.17  # new_bool_1 with pid 3188 completed with status 0
% 36.78/5.17  # Result found by new_bool_1
% 36.78/5.17  # Preprocessing class: FSLMSMSMSSSNFFN.
% 36.78/5.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.78/5.17  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 36.78/5.17  # Starting new_bool_3 with 600s (2) cores
% 36.78/5.17  # Starting new_bool_1 with 300s (1) cores
% 36.78/5.17  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 36.78/5.17  # Search class: FGHSM-FSLM31-DFFFFFNN
% 36.78/5.17  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 36.78/5.17  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 36.78/5.17  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3196 completed with status 0
% 36.78/5.17  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 36.78/5.17  # Preprocessing class: FSLMSMSMSSSNFFN.
% 36.78/5.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.78/5.17  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 36.78/5.17  # Starting new_bool_3 with 600s (2) cores
% 36.78/5.17  # Starting new_bool_1 with 300s (1) cores
% 36.78/5.17  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 36.78/5.17  # Search class: FGHSM-FSLM31-DFFFFFNN
% 36.78/5.17  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 36.78/5.17  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 36.78/5.17  # Preprocessing time       : 0.007 s
% 36.78/5.17  # Presaturation interreduction done
% 36.78/5.17  
% 36.78/5.17  # Proof found!
% 36.78/5.17  # SZS status Unsatisfiable
% 36.78/5.17  # SZS output start CNFRefutation
% See solution above
% 36.78/5.17  # Parsed axioms                        : 688
% 36.78/5.17  # Removed by relevancy pruning/SinE    : 225
% 36.78/5.17  # Initial clauses                      : 463
% 36.78/5.17  # Removed in clause preprocessing      : 0
% 36.78/5.17  # Initial clauses in saturation        : 463
% 36.78/5.17  # Processed clauses                    : 13504
% 36.78/5.17  # ...of these trivial                  : 293
% 36.78/5.17  # ...subsumed                          : 10531
% 36.78/5.17  # ...remaining for further processing  : 2680
% 36.78/5.17  # Other redundant clauses eliminated   : 714
% 36.78/5.17  # Clauses deleted for lack of memory   : 0
% 36.78/5.17  # Backward-subsumed                    : 84
% 36.78/5.17  # Backward-rewritten                   : 66
% 36.78/5.17  # Generated clauses                    : 147031
% 36.78/5.17  # ...of the previous two non-redundant : 132997
% 36.78/5.17  # ...aggressively subsumed             : 0
% 36.78/5.17  # Contextual simplify-reflections      : 0
% 36.78/5.17  # Paramodulations                      : 146294
% 36.78/5.17  # Factorizations                       : 16
% 36.78/5.17  # NegExts                              : 0
% 36.78/5.17  # Equation resolutions                 : 721
% 36.78/5.17  # Total rewrite steps                  : 86147
% 36.78/5.17  # Propositional unsat checks           : 0
% 36.78/5.17  #    Propositional check models        : 0
% 36.78/5.17  #    Propositional check unsatisfiable : 0
% 36.78/5.17  #    Propositional clauses             : 0
% 36.78/5.17  #    Propositional clauses after purity: 0
% 36.78/5.17  #    Propositional unsat core size     : 0
% 36.78/5.17  #    Propositional preprocessing time  : 0.000
% 36.78/5.17  #    Propositional encoding time       : 0.000
% 36.78/5.17  #    Propositional solver time         : 0.000
% 36.78/5.17  #    Success case prop preproc time    : 0.000
% 36.78/5.17  #    Success case prop encoding time   : 0.000
% 36.78/5.17  #    Success case prop solver time     : 0.000
% 36.78/5.17  # Current number of processed clauses  : 2179
% 36.78/5.17  #    Positive orientable unit clauses  : 420
% 36.78/5.17  #    Positive unorientable unit clauses: 24
% 36.78/5.17  #    Negative unit clauses             : 194
% 36.78/5.17  #    Non-unit-clauses                  : 1541
% 36.78/5.17  # Current number of unprocessed clauses: 119834
% 36.78/5.17  # ...number of literals in the above   : 243522
% 36.78/5.17  # Current number of archived formulas  : 0
% 36.78/5.17  # Current number of archived clauses   : 499
% 36.78/5.17  # Clause-clause subsumption calls (NU) : 285714
% 36.78/5.17  # Rec. Clause-clause subsumption calls : 212048
% 36.78/5.17  # Non-unit clause-clause subsumptions  : 6467
% 36.78/5.17  # Unit Clause-clause subsumption calls : 9882
% 36.78/5.17  # Rewrite failures with RHS unbound    : 0
% 36.78/5.17  # BW rewrite match attempts            : 37655
% 36.78/5.17  # BW rewrite match successes           : 414
% 36.78/5.17  # Condensation attempts                : 0
% 36.78/5.17  # Condensation successes               : 0
% 36.78/5.17  # Termbank termtop insertions          : 6298066
% 36.78/5.17  
% 36.78/5.17  # -------------------------------------------------
% 36.78/5.17  # User time                : 4.421 s
% 36.78/5.17  # System time              : 0.130 s
% 36.78/5.17  # Total time               : 4.550 s
% 36.78/5.17  # Maximum resident set size: 2972 pages
% 36.78/5.17  
% 36.78/5.17  # -------------------------------------------------
% 36.78/5.17  # User time                : 4.434 s
% 36.78/5.17  # System time              : 0.131 s
% 36.78/5.17  # Total time               : 4.565 s
% 36.78/5.17  # Maximum resident set size: 2324 pages
% 36.78/5.17  % E---3.1 exiting
%------------------------------------------------------------------------------