TSTP Solution File: SWW356+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW356+1 : TPTP v8.1.2. 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:11:07 EDT 2023
% Result : ContradictoryAxioms 21.80s 4.52s
% Output : CNFRefutation 21.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 59 ( 37 unt; 0 def)
% Number of atoms : 109 ( 24 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 89 ( 39 ~; 34 |; 7 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 129 ( 15 sgn; 71 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_not__less__iff__gr__or__eq,axiom,
! [X66,X24,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),X24),X66))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),X66),X24))
| X24 = X66 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_not__less__iff__gr__or__eq) ).
fof(fact_Collect__mem__eq,axiom,
! [X40,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),c_member(X5)),X40)) = X40,
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_Collect__mem__eq) ).
fof(fact_Collect__def,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),X6) = X6,
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_Collect__def) ).
fof(fact_less__eq__Suc__le__raw,axiom,
! [X123] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X123) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X123)),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_less__eq__Suc__le__raw) ).
fof(fact_finite__nat__set__iff__bounded,axiom,
! [X93] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X93))
<=> ? [X146] :
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X93))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X146)) ) ),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_finite__nat__set__iff__bounded) ).
fof(help_c__COMBC__1,axiom,
! [X45,X21,X6,X5,X73,X25] : hAPP(hAPP(hAPP(c_COMBC(X25,X73,X5),X6),X21),X45) = hAPP(hAPP(X6,X45),X21),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',help_c__COMBC__1) ).
fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',arity_Nat__Onat__Orderings_Olinorder) ).
fof(fact_le__refl,axiom,
! [X113] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X113),X113)),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_le__refl) ).
fof(fact_rangeI,axiom,
! [X25,X24,X2,X5] : hBOOL(hAPP(hAPP(c_member(X5),hAPP(X2,X24)),hAPP(c_Set_Oimage(X25,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X25,tc_HOL_Obool))))),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_rangeI) ).
fof(fact_finite__set,axiom,
! [X248,X5] : hBOOL(hAPP(c_Finite__Set_Ofinite(X5),hAPP(c_List_Oset(X5),X248))),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_finite__set) ).
fof(fact_UNIV__enum,axiom,
! [X5] :
( class_Enum_Oenum(X5)
=> c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_List_Oset(X5),c_Enum_Oenum__class_Oenum(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_UNIV__enum) ).
fof(fact_finite__Un,axiom,
! [X4,X68,X5] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),X68),X4)))
<=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X68))
& hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X4)) ) ),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_finite__Un) ).
fof(fact_Un__UNIV__left,axiom,
! [X71,X5] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))),X71) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_Un__UNIV__left) ).
fof(fact_finite__imageI,axiom,
! [X70,X25,X68,X5] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X68))
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X25),hAPP(c_Set_Oimage(X5,X25,X70),X68))) ),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',fact_finite__imageI) ).
fof(arity_HOL__Obool__Enum_Oenum,axiom,
class_Enum_Oenum(tc_HOL_Obool),
file('/export/starexec/sandbox/tmp/tmp.yYDpwl5cN8/E---3.1_16008.p',arity_HOL__Obool__Enum_Oenum) ).
fof(c_0_15,plain,
! [X66,X24,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),X24),X66))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X5),X66),X24))
| X24 = X66 ) ) ),
inference(fof_simplification,[status(thm)],[fact_not__less__iff__gr__or__eq]) ).
fof(c_0_16,plain,
! [X2242,X2243] : hAPP(c_Set_OCollect(X2243),hAPP(hAPP(c_COMBC(X2243,tc_fun(X2243,tc_HOL_Obool),tc_HOL_Obool),c_member(X2243)),X2242)) = X2242,
inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).
fof(c_0_17,plain,
! [X2219,X2220] : hAPP(c_Set_OCollect(X2220),X2219) = X2219,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_18,plain,
! [X7203,X7204,X7205] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X7205),X7204),X7203))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X7205),X7203),X7204))
| X7204 = X7203
| ~ class_Orderings_Olinorder(X7205) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X7205),X7203),X7204))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X7205),X7204),X7203))
| ~ class_Orderings_Olinorder(X7205) )
& ( X7204 != X7203
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X7205),X7204),X7203))
| ~ class_Orderings_Olinorder(X7205) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_19,plain,
! [X3960] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3960) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X3960)),
inference(variable_rename,[status(thm)],[fact_less__eq__Suc__le__raw]) ).
fof(c_0_20,plain,
! [X1182,X1184,X1185,X1186] :
( ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1182))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1184),X1182))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1184),esk27_1(X1182))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk28_2(X1185,X1186)),X1185))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1185)) )
& ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk28_2(X1185,X1186)),X1186))
| hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1185)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__nat__set__iff__bounded])])])])])]) ).
fof(c_0_21,plain,
! [X1865,X1866,X1867,X1868,X1869,X1870] : hAPP(hAPP(hAPP(c_COMBC(X1870,X1869,X1868),X1867),X1866),X1865) = hAPP(hAPP(X1867,X1865),X1866),
inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).
cnf(c_0_22,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X3),X2))
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
class_Orderings_Olinorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Olinorder]) ).
fof(c_0_27,plain,
! [X1090] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1090),X1090)),
inference(variable_rename,[status(thm)],[fact_le__refl]) ).
cnf(c_0_28,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),esk27_1(X1)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_25])]) ).
cnf(c_0_32,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),esk27_1(X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X1),X2))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X2)) ),
inference(rw,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_34,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_35,plain,
! [X2098,X2099,X2100,X2101] : hBOOL(hAPP(hAPP(c_member(X2101),hAPP(X2100,X2099)),hAPP(c_Set_Oimage(X2098,X2101,X2100),c_Orderings_Otop__class_Otop(tc_fun(X2098,tc_HOL_Obool))))),
inference(variable_rename,[status(thm)],[fact_rangeI]) ).
fof(c_0_36,plain,
! [X3066,X3067] : hBOOL(hAPP(c_Finite__Set_Ofinite(X3067),hAPP(c_List_Oset(X3067),X3066))),
inference(variable_rename,[status(thm)],[fact_finite__set]) ).
fof(c_0_37,plain,
! [X4316] :
( ~ class_Enum_Oenum(X4316)
| c_Orderings_Otop__class_Otop(tc_fun(X4316,tc_HOL_Obool)) = hAPP(c_List_Oset(X4316),c_Enum_Oenum__class_Oenum(X4316)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_UNIV__enum])]) ).
cnf(c_0_38,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1))),X1)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),esk27_1(X2)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_41,plain,
! [X1164,X1165,X1166] :
( ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1166),X1165))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1166),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1166,tc_HOL_Obool)),X1165),X1164))) )
& ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1166),X1164))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1166),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1166,tc_HOL_Obool)),X1165),X1164))) )
& ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1166),X1165))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1166),X1164))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X1166),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1166,tc_HOL_Obool)),X1165),X1164))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__Un])])]) ).
fof(c_0_42,plain,
! [X2945,X2946] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2946,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X2946,tc_HOL_Obool))),X2945) = c_Orderings_Otop__class_Otop(tc_fun(X2946,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Un__UNIV__left]) ).
cnf(c_0_43,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_List_Oset(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_List_Oset(X1),c_Enum_Oenum__class_Oenum(X1))
| ~ class_Enum_Oenum(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( ~ hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk27_1(X1))))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,plain,
hBOOL(hAPP(hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(X3,X4))),
inference(rw,[status(thm)],[c_0_40,c_0_34]) ).
fof(c_0_47,plain,
! [X2028,X2029,X2030,X2031] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2031),X2030))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X2029),hAPP(c_Set_Oimage(X2031,X2029,X2028),X2030))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])]) ).
cnf(c_0_48,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))
| ~ class_Enum_Oenum(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
class_Enum_Oenum(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Enum_Oenum]) ).
cnf(c_0_52,plain,
~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(X1,X2,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X3),hAPP(c_Set_Oimage(X1,X3,X4),X2)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool)))),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_HOL_Obool),X1)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
$false,
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW356+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Oct 2 22:24:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 1.00/1.22 Running first-order model finding
% 1.00/1.22 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.yYDpwl5cN8/E---3.1_16008.p
% 21.80/4.52 # Version: 3.1pre001
% 21.80/4.52 # Preprocessing class: FMLMSMSMSSSNFFN.
% 21.80/4.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.80/4.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.80/4.52 # Starting new_bool_3 with 300s (1) cores
% 21.80/4.52 # Starting new_bool_1 with 300s (1) cores
% 21.80/4.52 # Starting sh5l with 300s (1) cores
% 21.80/4.52 # new_bool_3 with pid 16277 completed with status 0
% 21.80/4.52 # Result found by new_bool_3
% 21.80/4.52 # Preprocessing class: FMLMSMSMSSSNFFN.
% 21.80/4.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.80/4.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.80/4.52 # Starting new_bool_3 with 300s (1) cores
% 21.80/4.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 21.80/4.52 # Search class: FGHSM-SMLM33-DFFFFFNN
% 21.80/4.52 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 21.80/4.52 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 21.80/4.52 # SAT001_MinMin_p005000_rr with pid 16280 completed with status 0
% 21.80/4.52 # Result found by SAT001_MinMin_p005000_rr
% 21.80/4.52 # Preprocessing class: FMLMSMSMSSSNFFN.
% 21.80/4.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.80/4.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.80/4.52 # Starting new_bool_3 with 300s (1) cores
% 21.80/4.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 21.80/4.52 # Search class: FGHSM-SMLM33-DFFFFFNN
% 21.80/4.52 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 21.80/4.52 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 21.80/4.52 # Preprocessing time : 0.073 s
% 21.80/4.52 # Presaturation interreduction done
% 21.80/4.52
% 21.80/4.52 # Proof found!
% 21.80/4.52 # SZS status ContradictoryAxioms
% 21.80/4.52 # SZS output start CNFRefutation
% See solution above
% 21.80/4.52 # Parsed axioms : 5244
% 21.80/4.52 # Removed by relevancy pruning/SinE : 3242
% 21.80/4.52 # Initial clauses : 2979
% 21.80/4.52 # Removed in clause preprocessing : 89
% 21.80/4.52 # Initial clauses in saturation : 2890
% 21.80/4.52 # Processed clauses : 11746
% 21.80/4.52 # ...of these trivial : 393
% 21.80/4.52 # ...subsumed : 5175
% 21.80/4.52 # ...remaining for further processing : 6178
% 21.80/4.52 # Other redundant clauses eliminated : 614
% 21.80/4.52 # Clauses deleted for lack of memory : 0
% 21.80/4.52 # Backward-subsumed : 96
% 21.80/4.52 # Backward-rewritten : 346
% 21.80/4.52 # Generated clauses : 117542
% 21.80/4.52 # ...of the previous two non-redundant : 111281
% 21.80/4.52 # ...aggressively subsumed : 0
% 21.80/4.52 # Contextual simplify-reflections : 10
% 21.80/4.52 # Paramodulations : 116900
% 21.80/4.52 # Factorizations : 10
% 21.80/4.52 # NegExts : 0
% 21.80/4.52 # Equation resolutions : 668
% 21.80/4.52 # Total rewrite steps : 25290
% 21.80/4.52 # Propositional unsat checks : 1
% 21.80/4.52 # Propositional check models : 0
% 21.80/4.52 # Propositional check unsatisfiable : 0
% 21.80/4.52 # Propositional clauses : 0
% 21.80/4.52 # Propositional clauses after purity: 0
% 21.80/4.52 # Propositional unsat core size : 0
% 21.80/4.52 # Propositional preprocessing time : 0.000
% 21.80/4.52 # Propositional encoding time : 0.125
% 21.80/4.52 # Propositional solver time : 0.045
% 21.80/4.52 # Success case prop preproc time : 0.000
% 21.80/4.52 # Success case prop encoding time : 0.000
% 21.80/4.52 # Success case prop solver time : 0.000
% 21.80/4.52 # Current number of processed clauses : 3360
% 21.80/4.52 # Positive orientable unit clauses : 752
% 21.80/4.52 # Positive unorientable unit clauses: 60
% 21.80/4.52 # Negative unit clauses : 510
% 21.80/4.52 # Non-unit-clauses : 2038
% 21.80/4.52 # Current number of unprocessed clauses: 92619
% 21.80/4.52 # ...number of literals in the above : 202306
% 21.80/4.52 # Current number of archived formulas : 0
% 21.80/4.52 # Current number of archived clauses : 2582
% 21.80/4.52 # Clause-clause subsumption calls (NU) : 836583
% 21.80/4.52 # Rec. Clause-clause subsumption calls : 481089
% 21.80/4.52 # Non-unit clause-clause subsumptions : 2772
% 21.80/4.52 # Unit Clause-clause subsumption calls : 61959
% 21.80/4.52 # Rewrite failures with RHS unbound : 307
% 21.80/4.52 # BW rewrite match attempts : 14702
% 21.80/4.52 # BW rewrite match successes : 829
% 21.80/4.52 # Condensation attempts : 0
% 21.80/4.52 # Condensation successes : 0
% 21.80/4.52 # Termbank termtop insertions : 3262225
% 21.80/4.52
% 21.80/4.52 # -------------------------------------------------
% 21.80/4.52 # User time : 2.880 s
% 21.80/4.52 # System time : 0.098 s
% 21.80/4.52 # Total time : 2.978 s
% 21.80/4.52 # Maximum resident set size: 18160 pages
% 21.80/4.52
% 21.80/4.52 # -------------------------------------------------
% 21.80/4.52 # User time : 3.105 s
% 21.80/4.52 # System time : 0.108 s
% 21.80/4.52 # Total time : 3.214 s
% 21.80/4.52 # Maximum resident set size: 9556 pages
% 21.80/4.52 % E---3.1 exiting
%------------------------------------------------------------------------------