TSTP Solution File: SEU311+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n025.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 : 600s
% DateTime : Tue Jul 19 10:27:17 EDT 2022
% Result : Theorem 169.89s 170.12s
% Output : CNFRefutation 169.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 59
% Syntax : Number of formulae : 609 ( 103 unt; 0 def)
% Number of atoms : 1730 ( 15 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1997 ( 876 ~; 864 |; 161 &)
% ( 8 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 17 usr; 2 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 10 con; 0-2 aty)
% Number of variables : 940 ( 72 sgn 195 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ),
file('<stdin>',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(c_0_1,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
=> in(X3,X2) )
=> element(X1,powerset(X2)) ),
file('<stdin>',l71_subset_1) ).
fof(c_0_2,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& closed_subset(X2,X1) ) ),
file('<stdin>',rc6_pre_topc) ).
fof(c_0_3,axiom,
! [X1] :
( one_sorted_str(X1)
=> element(cast_as_carrier_subset(X1),powerset(the_carrier(X1))) ),
file('<stdin>',dt_k2_pre_topc) ).
fof(c_0_4,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('<stdin>',antisymmetry_r2_hidden) ).
fof(c_0_5,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2) ) ) ),
file('<stdin>',cc20_membered) ).
fof(c_0_6,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2) ) ) ),
file('<stdin>',cc19_membered) ).
fof(c_0_7,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2) ) ) ),
file('<stdin>',cc18_membered) ).
fof(c_0_8,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2) ) ) ),
file('<stdin>',cc17_membered) ).
fof(c_0_9,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> v1_membered(X2) ) ),
file('<stdin>',cc16_membered) ).
fof(c_0_10,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('<stdin>',d2_subset_1) ).
fof(c_0_11,axiom,
! [X1,X2] :
( v5_membered(X1)
=> ( v1_membered(set_difference(X1,X2))
& v2_membered(set_difference(X1,X2))
& v3_membered(set_difference(X1,X2))
& v4_membered(set_difference(X1,X2))
& v5_membered(set_difference(X1,X2)) ) ),
file('<stdin>',fc41_membered) ).
fof(c_0_12,axiom,
! [X1,X2] :
( v4_membered(X1)
=> ( v1_membered(set_difference(X1,X2))
& v2_membered(set_difference(X1,X2))
& v3_membered(set_difference(X1,X2))
& v4_membered(set_difference(X1,X2)) ) ),
file('<stdin>',fc40_membered) ).
fof(c_0_13,axiom,
! [X1,X2] :
( v3_membered(X1)
=> ( v1_membered(set_difference(X1,X2))
& v2_membered(set_difference(X1,X2))
& v3_membered(set_difference(X1,X2)) ) ),
file('<stdin>',fc39_membered) ).
fof(c_0_14,axiom,
! [X1,X2] :
( v2_membered(X1)
=> ( v1_membered(set_difference(X1,X2))
& v2_membered(set_difference(X1,X2)) ) ),
file('<stdin>',fc38_membered) ).
fof(c_0_15,axiom,
! [X1,X2] :
( v1_membered(X1)
=> v1_membered(set_difference(X1,X2)) ),
file('<stdin>',fc37_membered) ).
fof(c_0_16,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> closed_subset(cast_as_carrier_subset(X1),X1) ),
file('<stdin>',fc5_pre_topc) ).
fof(c_0_17,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& natural(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
file('<stdin>',cc14_membered) ).
fof(c_0_18,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
file('<stdin>',cc13_membered) ).
fof(c_0_19,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_rat_1(X2) ) ) ),
file('<stdin>',cc12_membered) ).
fof(c_0_20,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2) ) ) ),
file('<stdin>',cc11_membered) ).
fof(c_0_21,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> v1_xcmplx_0(X2) ) ),
file('<stdin>',cc10_membered) ).
fof(c_0_22,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('<stdin>',rc1_subset_1) ).
fof(c_0_23,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_24,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_25,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_26,axiom,
! [X1] : ~ empty(powerset(X1)),
file('<stdin>',fc1_subset_1) ).
fof(c_0_27,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_28,axiom,
! [X1] :
( top_str(X1)
=> one_sorted_str(X1) ),
file('<stdin>',dt_l1_pre_topc) ).
fof(c_0_29,axiom,
! [X1] :
( empty(X1)
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ) ),
file('<stdin>',cc15_membered) ).
fof(c_0_30,axiom,
! [X1] :
( v2_membered(X1)
=> v1_membered(X1) ),
file('<stdin>',cc4_membered) ).
fof(c_0_31,axiom,
! [X1] :
( v3_membered(X1)
=> v2_membered(X1) ),
file('<stdin>',cc3_membered) ).
fof(c_0_32,axiom,
! [X1] :
( v4_membered(X1)
=> v3_membered(X1) ),
file('<stdin>',cc2_membered) ).
fof(c_0_33,axiom,
! [X1] :
( v5_membered(X1)
=> v4_membered(X1) ),
file('<stdin>',cc1_membered) ).
fof(c_0_34,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('<stdin>',t6_boole) ).
fof(c_0_35,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_36,axiom,
? [X1] :
( ~ empty(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
file('<stdin>',rc1_membered) ).
fof(c_0_37,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_38,axiom,
empty(empty_set),
file('<stdin>',fc1_xboole_0) ).
fof(c_0_39,axiom,
$true,
file('<stdin>',dt_k1_xboole_0) ).
fof(c_0_40,axiom,
$true,
file('<stdin>',dt_u1_struct_0) ).
fof(c_0_41,axiom,
$true,
file('<stdin>',dt_m1_subset_1) ).
fof(c_0_42,axiom,
$true,
file('<stdin>',dt_k4_xboole_0) ).
fof(c_0_43,axiom,
$true,
file('<stdin>',dt_k1_zfmisc_1) ).
fof(c_0_44,axiom,
$true,
file('<stdin>',dt_l1_struct_0) ).
fof(c_0_45,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ),
c_0_0 ).
fof(c_0_46,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
=> in(X3,X2) )
=> element(X1,powerset(X2)) ),
c_0_1 ).
fof(c_0_47,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& closed_subset(X2,X1) ) ),
c_0_2 ).
fof(c_0_48,axiom,
! [X1] :
( one_sorted_str(X1)
=> element(cast_as_carrier_subset(X1),powerset(the_carrier(X1))) ),
c_0_3 ).
fof(c_0_49,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_50,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2) ) ) ),
c_0_5 ).
fof(c_0_51,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2) ) ) ),
c_0_6 ).
fof(c_0_52,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2) ) ) ),
c_0_7 ).
fof(c_0_53,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2) ) ) ),
c_0_8 ).
fof(c_0_54,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> v1_membered(X2) ) ),
c_0_9 ).
fof(c_0_55,plain,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_56,axiom,
! [X1,X2] :
( v5_membered(X1)
=> ( v1_membered(set_difference(X1,X2))
& v2_membered(set_difference(X1,X2))
& v3_membered(set_difference(X1,X2))
& v4_membered(set_difference(X1,X2))
& v5_membered(set_difference(X1,X2)) ) ),
c_0_11 ).
fof(c_0_57,axiom,
! [X1,X2] :
( v4_membered(X1)
=> ( v1_membered(set_difference(X1,X2))
& v2_membered(set_difference(X1,X2))
& v3_membered(set_difference(X1,X2))
& v4_membered(set_difference(X1,X2)) ) ),
c_0_12 ).
fof(c_0_58,axiom,
! [X1,X2] :
( v3_membered(X1)
=> ( v1_membered(set_difference(X1,X2))
& v2_membered(set_difference(X1,X2))
& v3_membered(set_difference(X1,X2)) ) ),
c_0_13 ).
fof(c_0_59,axiom,
! [X1,X2] :
( v2_membered(X1)
=> ( v1_membered(set_difference(X1,X2))
& v2_membered(set_difference(X1,X2)) ) ),
c_0_14 ).
fof(c_0_60,axiom,
! [X1,X2] :
( v1_membered(X1)
=> v1_membered(set_difference(X1,X2)) ),
c_0_15 ).
fof(c_0_61,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> closed_subset(cast_as_carrier_subset(X1),X1) ),
c_0_16 ).
fof(c_0_62,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& natural(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
c_0_17 ).
fof(c_0_63,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
c_0_18 ).
fof(c_0_64,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_rat_1(X2) ) ) ),
c_0_19 ).
fof(c_0_65,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2) ) ) ),
c_0_20 ).
fof(c_0_66,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> v1_xcmplx_0(X2) ) ),
c_0_21 ).
fof(c_0_67,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_68,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_23 ).
fof(c_0_69,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
c_0_24 ).
fof(c_0_70,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_25 ).
fof(c_0_71,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_72,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_27 ).
fof(c_0_73,axiom,
! [X1] :
( top_str(X1)
=> one_sorted_str(X1) ),
c_0_28 ).
fof(c_0_74,axiom,
! [X1] :
( empty(X1)
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ) ),
c_0_29 ).
fof(c_0_75,axiom,
! [X1] :
( v2_membered(X1)
=> v1_membered(X1) ),
c_0_30 ).
fof(c_0_76,axiom,
! [X1] :
( v3_membered(X1)
=> v2_membered(X1) ),
c_0_31 ).
fof(c_0_77,axiom,
! [X1] :
( v4_membered(X1)
=> v3_membered(X1) ),
c_0_32 ).
fof(c_0_78,axiom,
! [X1] :
( v5_membered(X1)
=> v4_membered(X1) ),
c_0_33 ).
fof(c_0_79,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
c_0_34 ).
fof(c_0_80,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_81,plain,
? [X1] :
( ~ empty(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_82,axiom,
? [X1] : empty(X1),
c_0_37 ).
fof(c_0_83,axiom,
empty(empty_set),
c_0_38 ).
fof(c_0_84,axiom,
$true,
c_0_39 ).
fof(c_0_85,axiom,
$true,
c_0_40 ).
fof(c_0_86,axiom,
$true,
c_0_41 ).
fof(c_0_87,axiom,
$true,
c_0_42 ).
fof(c_0_88,axiom,
$true,
c_0_43 ).
fof(c_0_89,axiom,
$true,
c_0_44 ).
fof(c_0_90,plain,
! [X5,X6,X8,X9] :
( ( in(X8,powerset(the_carrier(X5)))
| ~ in(X8,esk5_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) )
& ( in(set_difference(cast_as_carrier_subset(X5),X8),X6)
| ~ in(X8,esk5_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) )
& ( ~ in(X9,powerset(the_carrier(X5)))
| ~ in(set_difference(cast_as_carrier_subset(X5),X9),X6)
| in(X9,esk5_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) ) ),
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)],[c_0_45])])])])])]) ).
fof(c_0_91,plain,
! [X4,X5] :
( ( in(esk7_2(X4,X5),X4)
| element(X4,powerset(X5)) )
& ( ~ in(esk7_2(X4,X5),X5)
| element(X4,powerset(X5)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
fof(c_0_92,plain,
! [X3] :
( ( element(esk2_1(X3),powerset(the_carrier(X3)))
| ~ topological_space(X3)
| ~ top_str(X3) )
& ( closed_subset(esk2_1(X3),X3)
| ~ topological_space(X3)
| ~ top_str(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).
fof(c_0_93,plain,
! [X2] :
( ~ one_sorted_str(X2)
| element(cast_as_carrier_subset(X2),powerset(the_carrier(X2))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
fof(c_0_94,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ in(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).
fof(c_0_95,plain,
! [X3,X4] :
( ( v1_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v5_membered(X3) )
& ( v2_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v5_membered(X3) )
& ( v3_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v5_membered(X3) )
& ( v4_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v5_membered(X3) )
& ( v5_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v5_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_96,plain,
! [X3,X4] :
( ( v1_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v4_membered(X3) )
& ( v2_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v4_membered(X3) )
& ( v3_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v4_membered(X3) )
& ( v4_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v4_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
fof(c_0_97,plain,
! [X3,X4] :
( ( v1_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v3_membered(X3) )
& ( v2_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v3_membered(X3) )
& ( v3_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v3_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
fof(c_0_98,plain,
! [X3,X4] :
( ( v1_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v2_membered(X3) )
& ( v2_membered(X4)
| ~ element(X4,powerset(X3))
| ~ v2_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
fof(c_0_99,plain,
! [X3,X4] :
( ~ v1_membered(X3)
| ~ element(X4,powerset(X3))
| v1_membered(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_100,plain,
! [X3,X4,X5,X6,X7,X8] :
( ( ~ element(X4,X3)
| in(X4,X3)
| empty(X3) )
& ( ~ in(X5,X3)
| element(X5,X3)
| empty(X3) )
& ( ~ element(X7,X6)
| empty(X7)
| ~ empty(X6) )
& ( ~ empty(X8)
| element(X8,X6)
| ~ empty(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])]) ).
fof(c_0_101,plain,
! [X3,X4,X5,X6,X7,X8] :
( ( v1_membered(set_difference(X3,X4))
| ~ v5_membered(X3) )
& ( v2_membered(set_difference(X3,X5))
| ~ v5_membered(X3) )
& ( v3_membered(set_difference(X3,X6))
| ~ v5_membered(X3) )
& ( v4_membered(set_difference(X3,X7))
| ~ v5_membered(X3) )
& ( v5_membered(set_difference(X3,X8))
| ~ v5_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])]) ).
fof(c_0_102,plain,
! [X3,X4,X5,X6,X7] :
( ( v1_membered(set_difference(X3,X4))
| ~ v4_membered(X3) )
& ( v2_membered(set_difference(X3,X5))
| ~ v4_membered(X3) )
& ( v3_membered(set_difference(X3,X6))
| ~ v4_membered(X3) )
& ( v4_membered(set_difference(X3,X7))
| ~ v4_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])]) ).
fof(c_0_103,plain,
! [X3,X4,X5,X6] :
( ( v1_membered(set_difference(X3,X4))
| ~ v3_membered(X3) )
& ( v2_membered(set_difference(X3,X5))
| ~ v3_membered(X3) )
& ( v3_membered(set_difference(X3,X6))
| ~ v3_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])])]) ).
fof(c_0_104,plain,
! [X3,X4,X5] :
( ( v1_membered(set_difference(X3,X4))
| ~ v2_membered(X3) )
& ( v2_membered(set_difference(X3,X5))
| ~ v2_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])])]) ).
fof(c_0_105,plain,
! [X3,X4] :
( ~ v1_membered(X3)
| v1_membered(set_difference(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
fof(c_0_106,plain,
! [X2] :
( ~ topological_space(X2)
| ~ top_str(X2)
| closed_subset(cast_as_carrier_subset(X2),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_107,plain,
! [X3,X4] :
( ( v1_xcmplx_0(X4)
| ~ element(X4,X3)
| ~ v5_membered(X3) )
& ( natural(X4)
| ~ element(X4,X3)
| ~ v5_membered(X3) )
& ( v1_xreal_0(X4)
| ~ element(X4,X3)
| ~ v5_membered(X3) )
& ( v1_int_1(X4)
| ~ element(X4,X3)
| ~ v5_membered(X3) )
& ( v1_rat_1(X4)
| ~ element(X4,X3)
| ~ v5_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).
fof(c_0_108,plain,
! [X3,X4] :
( ( v1_xcmplx_0(X4)
| ~ element(X4,X3)
| ~ v4_membered(X3) )
& ( v1_xreal_0(X4)
| ~ element(X4,X3)
| ~ v4_membered(X3) )
& ( v1_int_1(X4)
| ~ element(X4,X3)
| ~ v4_membered(X3) )
& ( v1_rat_1(X4)
| ~ element(X4,X3)
| ~ v4_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])]) ).
fof(c_0_109,plain,
! [X3,X4] :
( ( v1_xcmplx_0(X4)
| ~ element(X4,X3)
| ~ v3_membered(X3) )
& ( v1_xreal_0(X4)
| ~ element(X4,X3)
| ~ v3_membered(X3) )
& ( v1_rat_1(X4)
| ~ element(X4,X3)
| ~ v3_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])]) ).
fof(c_0_110,plain,
! [X3,X4] :
( ( v1_xcmplx_0(X4)
| ~ element(X4,X3)
| ~ v2_membered(X3) )
& ( v1_xreal_0(X4)
| ~ element(X4,X3)
| ~ v2_membered(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).
fof(c_0_111,plain,
! [X3,X4] :
( ~ v1_membered(X3)
| ~ element(X4,X3)
| v1_xcmplx_0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
fof(c_0_112,plain,
! [X3] :
( ( element(esk3_1(X3),powerset(X3))
| empty(X3) )
& ( ~ empty(esk3_1(X3))
| empty(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).
fof(c_0_113,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
fof(c_0_114,plain,
! [X3] :
( element(esk4_1(X3),powerset(X3))
& empty(esk4_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_69])]) ).
fof(c_0_115,plain,
! [X3] : element(esk6_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_70])]) ).
fof(c_0_116,plain,
! [X2] : ~ empty(powerset(X2)),
inference(variable_rename,[status(thm)],[c_0_71]) ).
fof(c_0_117,plain,
! [X3,X4] :
( ~ empty(X3)
| X3 = X4
| ~ empty(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])]) ).
fof(c_0_118,plain,
! [X2] :
( ~ top_str(X2)
| one_sorted_str(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])]) ).
fof(c_0_119,plain,
! [X2] :
( ( v1_membered(X2)
| ~ empty(X2) )
& ( v2_membered(X2)
| ~ empty(X2) )
& ( v3_membered(X2)
| ~ empty(X2) )
& ( v4_membered(X2)
| ~ empty(X2) )
& ( v5_membered(X2)
| ~ empty(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])]) ).
fof(c_0_120,plain,
! [X2] :
( ~ v2_membered(X2)
| v1_membered(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])]) ).
fof(c_0_121,plain,
! [X2] :
( ~ v3_membered(X2)
| v2_membered(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])]) ).
fof(c_0_122,plain,
! [X2] :
( ~ v4_membered(X2)
| v3_membered(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).
fof(c_0_123,plain,
! [X2] :
( ~ v5_membered(X2)
| v4_membered(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])]) ).
fof(c_0_124,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])]) ).
fof(c_0_125,plain,
~ empty(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_80])]) ).
fof(c_0_126,plain,
( ~ empty(esk1_0)
& v1_membered(esk1_0)
& v2_membered(esk1_0)
& v3_membered(esk1_0)
& v4_membered(esk1_0)
& v5_membered(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_81])]) ).
fof(c_0_127,plain,
empty(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_82])]) ).
fof(c_0_128,axiom,
empty(empty_set),
c_0_83 ).
fof(c_0_129,axiom,
$true,
c_0_84 ).
fof(c_0_130,axiom,
$true,
c_0_85 ).
fof(c_0_131,axiom,
$true,
c_0_86 ).
fof(c_0_132,axiom,
$true,
c_0_87 ).
fof(c_0_133,axiom,
$true,
c_0_88 ).
fof(c_0_134,axiom,
$true,
c_0_89 ).
cnf(c_0_135,plain,
( in(X3,esk5_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ in(X3,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_136,plain,
( in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_137,plain,
( in(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_138,plain,
( element(X1,powerset(X2))
| ~ in(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_139,plain,
( element(X1,powerset(X2))
| in(esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_140,plain,
( element(esk2_1(X1),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_141,plain,
( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_142,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_143,plain,
( v1_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_144,plain,
( v2_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_145,plain,
( v3_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_146,plain,
( v4_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_147,plain,
( v5_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_148,plain,
( v1_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_149,plain,
( v2_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_150,plain,
( v3_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_151,plain,
( v4_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_152,plain,
( v1_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_153,plain,
( v2_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_154,plain,
( v3_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_155,plain,
( v1_membered(X2)
| ~ v2_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_156,plain,
( v2_membered(X2)
| ~ v2_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_157,plain,
( v1_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v1_membered(X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_158,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_159,plain,
( empty(X1)
| element(X2,X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_160,plain,
( v1_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_161,plain,
( v2_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_162,plain,
( v3_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_163,plain,
( v4_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_164,plain,
( v5_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_165,plain,
( v1_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_166,plain,
( v2_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_167,plain,
( v3_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_168,plain,
( v4_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_169,plain,
( v1_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_170,plain,
( v2_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_171,plain,
( v3_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_172,plain,
( v1_membered(set_difference(X1,X2))
| ~ v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_173,plain,
( v2_membered(set_difference(X1,X2))
| ~ v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_174,plain,
( v1_membered(set_difference(X1,X2))
| ~ v1_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_175,plain,
( closed_subset(cast_as_carrier_subset(X1),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_176,plain,
( closed_subset(esk2_1(X1),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_177,plain,
( empty(X2)
| ~ empty(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_178,plain,
( v1_xcmplx_0(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_179,plain,
( natural(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_180,plain,
( v1_xreal_0(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_181,plain,
( v1_int_1(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_182,plain,
( v1_rat_1(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_183,plain,
( v1_xcmplx_0(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_184,plain,
( v1_xreal_0(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_185,plain,
( v1_int_1(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_186,plain,
( v1_rat_1(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_187,plain,
( v1_xcmplx_0(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_188,plain,
( v1_xreal_0(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_189,plain,
( v1_rat_1(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_190,plain,
( v1_xcmplx_0(X2)
| ~ v2_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_191,plain,
( v1_xreal_0(X2)
| ~ v2_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_192,plain,
( v1_xcmplx_0(X1)
| ~ element(X1,X2)
| ~ v1_membered(X2) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_193,plain,
( empty(X1)
| element(esk3_1(X1),powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_194,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_195,plain,
( element(X2,X1)
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_196,plain,
element(esk4_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_197,plain,
( empty(X1)
| ~ empty(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_198,plain,
element(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_199,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_200,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_201,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_202,plain,
( v1_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_203,plain,
( v2_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_204,plain,
( v3_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_205,plain,
( v4_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_206,plain,
( v5_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_207,plain,
( v1_membered(X1)
| ~ v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_208,plain,
( v2_membered(X1)
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_209,plain,
( v3_membered(X1)
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_210,plain,
( v4_membered(X1)
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_211,plain,
empty(esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_212,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_213,plain,
~ empty(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_214,plain,
~ empty(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_215,plain,
empty(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_216,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_217,plain,
v1_membered(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_218,plain,
v2_membered(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_219,plain,
v3_membered(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_220,plain,
v4_membered(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_221,plain,
v5_membered(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_222,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_223,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_224,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_225,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_226,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_227,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_228,plain,
( in(X3,esk5_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ in(X3,powerset(the_carrier(X2))) ),
c_0_135,
[final] ).
cnf(c_0_229,plain,
( in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk5_2(X2,X1)) ),
c_0_136,
[final] ).
cnf(c_0_230,plain,
( in(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk5_2(X2,X1)) ),
c_0_137,
[final] ).
cnf(c_0_231,plain,
( element(X1,powerset(X2))
| ~ in(esk7_2(X1,X2),X2) ),
c_0_138,
[final] ).
cnf(c_0_232,plain,
( element(X1,powerset(X2))
| in(esk7_2(X1,X2),X1) ),
c_0_139,
[final] ).
cnf(c_0_233,plain,
( element(esk2_1(X1),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
c_0_140,
[final] ).
cnf(c_0_234,plain,
( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
c_0_141,
[final] ).
cnf(c_0_235,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
c_0_142,
[final] ).
cnf(c_0_236,plain,
( v1_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_143,
[final] ).
cnf(c_0_237,plain,
( v2_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_144,
[final] ).
cnf(c_0_238,plain,
( v3_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_145,
[final] ).
cnf(c_0_239,plain,
( v4_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_146,
[final] ).
cnf(c_0_240,plain,
( v5_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_147,
[final] ).
cnf(c_0_241,plain,
( v1_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_148,
[final] ).
cnf(c_0_242,plain,
( v2_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_149,
[final] ).
cnf(c_0_243,plain,
( v3_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_150,
[final] ).
cnf(c_0_244,plain,
( v4_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_151,
[final] ).
cnf(c_0_245,plain,
( v1_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_152,
[final] ).
cnf(c_0_246,plain,
( v2_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_153,
[final] ).
cnf(c_0_247,plain,
( v3_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_154,
[final] ).
cnf(c_0_248,plain,
( v1_membered(X2)
| ~ v2_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_155,
[final] ).
cnf(c_0_249,plain,
( v2_membered(X2)
| ~ v2_membered(X1)
| ~ element(X2,powerset(X1)) ),
c_0_156,
[final] ).
cnf(c_0_250,plain,
( v1_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v1_membered(X2) ),
c_0_157,
[final] ).
cnf(c_0_251,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
c_0_158,
[final] ).
cnf(c_0_252,plain,
( empty(X1)
| element(X2,X1)
| ~ in(X2,X1) ),
c_0_159,
[final] ).
cnf(c_0_253,plain,
( v1_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
c_0_160,
[final] ).
cnf(c_0_254,plain,
( v2_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
c_0_161,
[final] ).
cnf(c_0_255,plain,
( v3_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
c_0_162,
[final] ).
cnf(c_0_256,plain,
( v4_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
c_0_163,
[final] ).
cnf(c_0_257,plain,
( v5_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
c_0_164,
[final] ).
cnf(c_0_258,plain,
( v1_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
c_0_165,
[final] ).
cnf(c_0_259,plain,
( v2_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
c_0_166,
[final] ).
cnf(c_0_260,plain,
( v3_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
c_0_167,
[final] ).
cnf(c_0_261,plain,
( v4_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
c_0_168,
[final] ).
cnf(c_0_262,plain,
( v1_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
c_0_169,
[final] ).
cnf(c_0_263,plain,
( v2_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
c_0_170,
[final] ).
cnf(c_0_264,plain,
( v3_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
c_0_171,
[final] ).
cnf(c_0_265,plain,
( v1_membered(set_difference(X1,X2))
| ~ v2_membered(X1) ),
c_0_172,
[final] ).
cnf(c_0_266,plain,
( v2_membered(set_difference(X1,X2))
| ~ v2_membered(X1) ),
c_0_173,
[final] ).
cnf(c_0_267,plain,
( v1_membered(set_difference(X1,X2))
| ~ v1_membered(X1) ),
c_0_174,
[final] ).
cnf(c_0_268,plain,
( closed_subset(cast_as_carrier_subset(X1),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
c_0_175,
[final] ).
cnf(c_0_269,plain,
( closed_subset(esk2_1(X1),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
c_0_176,
[final] ).
cnf(c_0_270,plain,
( empty(X2)
| ~ empty(X1)
| ~ element(X2,X1) ),
c_0_177,
[final] ).
cnf(c_0_271,plain,
( v1_xcmplx_0(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
c_0_178,
[final] ).
cnf(c_0_272,plain,
( natural(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
c_0_179,
[final] ).
cnf(c_0_273,plain,
( v1_xreal_0(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
c_0_180,
[final] ).
cnf(c_0_274,plain,
( v1_int_1(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
c_0_181,
[final] ).
cnf(c_0_275,plain,
( v1_rat_1(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
c_0_182,
[final] ).
cnf(c_0_276,plain,
( v1_xcmplx_0(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
c_0_183,
[final] ).
cnf(c_0_277,plain,
( v1_xreal_0(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
c_0_184,
[final] ).
cnf(c_0_278,plain,
( v1_int_1(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
c_0_185,
[final] ).
cnf(c_0_279,plain,
( v1_rat_1(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
c_0_186,
[final] ).
cnf(c_0_280,plain,
( v1_xcmplx_0(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
c_0_187,
[final] ).
cnf(c_0_281,plain,
( v1_xreal_0(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
c_0_188,
[final] ).
cnf(c_0_282,plain,
( v1_rat_1(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
c_0_189,
[final] ).
cnf(c_0_283,plain,
( v1_xcmplx_0(X2)
| ~ v2_membered(X1)
| ~ element(X2,X1) ),
c_0_190,
[final] ).
cnf(c_0_284,plain,
( v1_xreal_0(X2)
| ~ v2_membered(X1)
| ~ element(X2,X1) ),
c_0_191,
[final] ).
cnf(c_0_285,plain,
( v1_xcmplx_0(X1)
| ~ element(X1,X2)
| ~ v1_membered(X2) ),
c_0_192,
[final] ).
cnf(c_0_286,plain,
( empty(X1)
| element(esk3_1(X1),powerset(X1)) ),
c_0_193,
[final] ).
cnf(c_0_287,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_194,
[final] ).
cnf(c_0_288,plain,
( element(X2,X1)
| ~ empty(X1)
| ~ empty(X2) ),
c_0_195,
[final] ).
cnf(c_0_289,plain,
element(esk4_1(X1),powerset(X1)),
c_0_196,
[final] ).
cnf(c_0_290,plain,
( empty(X1)
| ~ empty(esk3_1(X1)) ),
c_0_197,
[final] ).
cnf(c_0_291,plain,
element(esk6_1(X1),X1),
c_0_198,
[final] ).
cnf(c_0_292,plain,
~ empty(powerset(X1)),
c_0_199,
[final] ).
cnf(c_0_293,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_200,
[final] ).
cnf(c_0_294,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
c_0_201,
[final] ).
cnf(c_0_295,plain,
( v1_membered(X1)
| ~ empty(X1) ),
c_0_202,
[final] ).
cnf(c_0_296,plain,
( v2_membered(X1)
| ~ empty(X1) ),
c_0_203,
[final] ).
cnf(c_0_297,plain,
( v3_membered(X1)
| ~ empty(X1) ),
c_0_204,
[final] ).
cnf(c_0_298,plain,
( v4_membered(X1)
| ~ empty(X1) ),
c_0_205,
[final] ).
cnf(c_0_299,plain,
( v5_membered(X1)
| ~ empty(X1) ),
c_0_206,
[final] ).
cnf(c_0_300,plain,
( v1_membered(X1)
| ~ v2_membered(X1) ),
c_0_207,
[final] ).
cnf(c_0_301,plain,
( v2_membered(X1)
| ~ v3_membered(X1) ),
c_0_208,
[final] ).
cnf(c_0_302,plain,
( v3_membered(X1)
| ~ v4_membered(X1) ),
c_0_209,
[final] ).
cnf(c_0_303,plain,
( v4_membered(X1)
| ~ v5_membered(X1) ),
c_0_210,
[final] ).
cnf(c_0_304,plain,
empty(esk4_1(X1)),
c_0_211,
[final] ).
cnf(c_0_305,plain,
( X1 = empty_set
| ~ empty(X1) ),
c_0_212,
[final] ).
cnf(c_0_306,plain,
~ empty(esk9_0),
c_0_213,
[final] ).
cnf(c_0_307,plain,
~ empty(esk1_0),
c_0_214,
[final] ).
cnf(c_0_308,plain,
empty(esk8_0),
c_0_215,
[final] ).
cnf(c_0_309,plain,
empty(empty_set),
c_0_216,
[final] ).
cnf(c_0_310,plain,
v1_membered(esk1_0),
c_0_217,
[final] ).
cnf(c_0_311,plain,
v2_membered(esk1_0),
c_0_218,
[final] ).
cnf(c_0_312,plain,
v3_membered(esk1_0),
c_0_219,
[final] ).
cnf(c_0_313,plain,
v4_membered(esk1_0),
c_0_220,
[final] ).
cnf(c_0_314,plain,
v5_membered(esk1_0),
c_0_221,
[final] ).
cnf(c_0_315,plain,
$true,
c_0_222,
[final] ).
cnf(c_0_316,plain,
$true,
c_0_223,
[final] ).
cnf(c_0_317,plain,
$true,
c_0_224,
[final] ).
cnf(c_0_318,plain,
$true,
c_0_225,
[final] ).
cnf(c_0_319,plain,
$true,
c_0_226,
[final] ).
cnf(c_0_320,plain,
$true,
c_0_227,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_228_0,axiom,
( in(X3,sk1_esk5_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ in(X3,powerset(the_carrier(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_1,axiom,
( ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,sk1_esk5_2(X2,X1))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ in(X3,powerset(the_carrier(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_2,axiom,
( ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,sk1_esk5_2(X2,X1))
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ in(X3,powerset(the_carrier(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_3,axiom,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,sk1_esk5_2(X2,X1))
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ in(X3,powerset(the_carrier(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_4,axiom,
( ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,sk1_esk5_2(X2,X1))
| ~ in(X3,powerset(the_carrier(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_5,axiom,
( ~ in(X3,powerset(the_carrier(X2)))
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_229_0,axiom,
( in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_1,axiom,
( ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_2,axiom,
( ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ topological_space(X2)
| ~ in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_3,axiom,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_4,axiom,
( ~ in(X3,sk1_esk5_2(X2,X1))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(set_difference(cast_as_carrier_subset(X2),X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_230_0,axiom,
( in(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_1,axiom,
( ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,powerset(the_carrier(X2)))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_2,axiom,
( ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,powerset(the_carrier(X2)))
| ~ topological_space(X2)
| ~ in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_3,axiom,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,powerset(the_carrier(X2)))
| ~ in(X3,sk1_esk5_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_4,axiom,
( ~ in(X3,sk1_esk5_2(X2,X1))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| in(X3,powerset(the_carrier(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_231_0,axiom,
( element(X1,powerset(X2))
| ~ in(sk1_esk7_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_1,axiom,
( ~ in(sk1_esk7_2(X1,X2),X2)
| element(X1,powerset(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_232_0,axiom,
( element(X1,powerset(X2))
| in(sk1_esk7_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_1,axiom,
( in(sk1_esk7_2(X1,X2),X1)
| element(X1,powerset(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_233_0,axiom,
( element(sk1_esk2_1(X1),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_1,axiom,
( ~ top_str(X1)
| element(sk1_esk2_1(X1),powerset(the_carrier(X1)))
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_2,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| element(sk1_esk2_1(X1),powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_234_0,axiom,
( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_1,axiom,
( ~ one_sorted_str(X1)
| element(cast_as_carrier_subset(X1),powerset(the_carrier(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_235_0,axiom,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_1,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_236_0,axiom,
( v1_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_1,axiom,
( ~ v5_membered(X1)
| v1_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v5_membered(X1)
| v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_237_0,axiom,
( v2_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_1,axiom,
( ~ v5_membered(X1)
| v2_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v5_membered(X1)
| v2_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_238_0,axiom,
( v3_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_1,axiom,
( ~ v5_membered(X1)
| v3_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v5_membered(X1)
| v3_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_239_0,axiom,
( v4_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_1,axiom,
( ~ v5_membered(X1)
| v4_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v5_membered(X1)
| v4_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_240_0,axiom,
( v5_membered(X2)
| ~ v5_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_1,axiom,
( ~ v5_membered(X1)
| v5_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v5_membered(X1)
| v5_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_241_0,axiom,
( v1_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_1,axiom,
( ~ v4_membered(X1)
| v1_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v4_membered(X1)
| v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_242_0,axiom,
( v2_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_242_1,axiom,
( ~ v4_membered(X1)
| v2_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_242_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v4_membered(X1)
| v2_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_243_0,axiom,
( v3_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_1,axiom,
( ~ v4_membered(X1)
| v3_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v4_membered(X1)
| v3_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_244_0,axiom,
( v4_membered(X2)
| ~ v4_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_1,axiom,
( ~ v4_membered(X1)
| v4_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v4_membered(X1)
| v4_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_245_0,axiom,
( v1_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_1,axiom,
( ~ v3_membered(X1)
| v1_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v3_membered(X1)
| v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_246_0,axiom,
( v2_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_1,axiom,
( ~ v3_membered(X1)
| v2_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v3_membered(X1)
| v2_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_247_0,axiom,
( v3_membered(X2)
| ~ v3_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_1,axiom,
( ~ v3_membered(X1)
| v3_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v3_membered(X1)
| v3_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_248_0,axiom,
( v1_membered(X2)
| ~ v2_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_1,axiom,
( ~ v2_membered(X1)
| v1_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v2_membered(X1)
| v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_249_0,axiom,
( v2_membered(X2)
| ~ v2_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_249_1,axiom,
( ~ v2_membered(X1)
| v2_membered(X2)
| ~ element(X2,powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_249_2,axiom,
( ~ element(X2,powerset(X1))
| ~ v2_membered(X1)
| v2_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_250_0,axiom,
( v1_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_250_1,axiom,
( ~ element(X1,powerset(X2))
| v1_membered(X1)
| ~ v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_250_2,axiom,
( ~ v1_membered(X2)
| ~ element(X1,powerset(X2))
| v1_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_251_0,axiom,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_251_1,axiom,
( in(X2,X1)
| empty(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_251_2,axiom,
( ~ element(X2,X1)
| in(X2,X1)
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_252_0,axiom,
( empty(X1)
| element(X2,X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_1,axiom,
( element(X2,X1)
| empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_2,axiom,
( ~ in(X2,X1)
| element(X2,X1)
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_253_0,axiom,
( v1_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_253_1,axiom,
( ~ v5_membered(X1)
| v1_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_254_0,axiom,
( v2_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_254_1,axiom,
( ~ v5_membered(X1)
| v2_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_255_0,axiom,
( v3_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_255_1,axiom,
( ~ v5_membered(X1)
| v3_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_256_0,axiom,
( v4_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_256_1,axiom,
( ~ v5_membered(X1)
| v4_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_257_0,axiom,
( v5_membered(set_difference(X1,X2))
| ~ v5_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_257_1,axiom,
( ~ v5_membered(X1)
| v5_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_258_0,axiom,
( v1_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_1,axiom,
( ~ v4_membered(X1)
| v1_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_259_0,axiom,
( v2_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_1,axiom,
( ~ v4_membered(X1)
| v2_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_260_0,axiom,
( v3_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_1,axiom,
( ~ v4_membered(X1)
| v3_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_261_0,axiom,
( v4_membered(set_difference(X1,X2))
| ~ v4_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_261_1,axiom,
( ~ v4_membered(X1)
| v4_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_262_0,axiom,
( v1_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_262_1,axiom,
( ~ v3_membered(X1)
| v1_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_263_0,axiom,
( v2_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_1,axiom,
( ~ v3_membered(X1)
| v2_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_264_0,axiom,
( v3_membered(set_difference(X1,X2))
| ~ v3_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_1,axiom,
( ~ v3_membered(X1)
| v3_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_265_0,axiom,
( v1_membered(set_difference(X1,X2))
| ~ v2_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_265_1,axiom,
( ~ v2_membered(X1)
| v1_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_266_0,axiom,
( v2_membered(set_difference(X1,X2))
| ~ v2_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_266_1,axiom,
( ~ v2_membered(X1)
| v2_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_267_0,axiom,
( v1_membered(set_difference(X1,X2))
| ~ v1_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_267]) ).
cnf(c_0_267_1,axiom,
( ~ v1_membered(X1)
| v1_membered(set_difference(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_267]) ).
cnf(c_0_268_0,axiom,
( closed_subset(cast_as_carrier_subset(X1),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_268_1,axiom,
( ~ top_str(X1)
| closed_subset(cast_as_carrier_subset(X1),X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_268_2,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| closed_subset(cast_as_carrier_subset(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_269_0,axiom,
( closed_subset(sk1_esk2_1(X1),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_269_1,axiom,
( ~ top_str(X1)
| closed_subset(sk1_esk2_1(X1),X1)
| ~ topological_space(X1) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_269_2,axiom,
( ~ topological_space(X1)
| ~ top_str(X1)
| closed_subset(sk1_esk2_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_270_0,axiom,
( empty(X2)
| ~ empty(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_270_1,axiom,
( ~ empty(X1)
| empty(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_270_2,axiom,
( ~ element(X2,X1)
| ~ empty(X1)
| empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_271_0,axiom,
( v1_xcmplx_0(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_1,axiom,
( ~ v5_membered(X1)
| v1_xcmplx_0(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_2,axiom,
( ~ element(X2,X1)
| ~ v5_membered(X1)
| v1_xcmplx_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_272_0,axiom,
( natural(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_1,axiom,
( ~ v5_membered(X1)
| natural(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_2,axiom,
( ~ element(X2,X1)
| ~ v5_membered(X1)
| natural(X2) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_273_0,axiom,
( v1_xreal_0(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_1,axiom,
( ~ v5_membered(X1)
| v1_xreal_0(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_2,axiom,
( ~ element(X2,X1)
| ~ v5_membered(X1)
| v1_xreal_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_274_0,axiom,
( v1_int_1(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_1,axiom,
( ~ v5_membered(X1)
| v1_int_1(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_2,axiom,
( ~ element(X2,X1)
| ~ v5_membered(X1)
| v1_int_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_275_0,axiom,
( v1_rat_1(X2)
| ~ v5_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_1,axiom,
( ~ v5_membered(X1)
| v1_rat_1(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_2,axiom,
( ~ element(X2,X1)
| ~ v5_membered(X1)
| v1_rat_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_276_0,axiom,
( v1_xcmplx_0(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_1,axiom,
( ~ v4_membered(X1)
| v1_xcmplx_0(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_2,axiom,
( ~ element(X2,X1)
| ~ v4_membered(X1)
| v1_xcmplx_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_277_0,axiom,
( v1_xreal_0(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_1,axiom,
( ~ v4_membered(X1)
| v1_xreal_0(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_2,axiom,
( ~ element(X2,X1)
| ~ v4_membered(X1)
| v1_xreal_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_278_0,axiom,
( v1_int_1(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_1,axiom,
( ~ v4_membered(X1)
| v1_int_1(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_2,axiom,
( ~ element(X2,X1)
| ~ v4_membered(X1)
| v1_int_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_279_0,axiom,
( v1_rat_1(X2)
| ~ v4_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_1,axiom,
( ~ v4_membered(X1)
| v1_rat_1(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_2,axiom,
( ~ element(X2,X1)
| ~ v4_membered(X1)
| v1_rat_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_280_0,axiom,
( v1_xcmplx_0(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_1,axiom,
( ~ v3_membered(X1)
| v1_xcmplx_0(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_2,axiom,
( ~ element(X2,X1)
| ~ v3_membered(X1)
| v1_xcmplx_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_281_0,axiom,
( v1_xreal_0(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_1,axiom,
( ~ v3_membered(X1)
| v1_xreal_0(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_2,axiom,
( ~ element(X2,X1)
| ~ v3_membered(X1)
| v1_xreal_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_282_0,axiom,
( v1_rat_1(X2)
| ~ v3_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_1,axiom,
( ~ v3_membered(X1)
| v1_rat_1(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_2,axiom,
( ~ element(X2,X1)
| ~ v3_membered(X1)
| v1_rat_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_283_0,axiom,
( v1_xcmplx_0(X2)
| ~ v2_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_1,axiom,
( ~ v2_membered(X1)
| v1_xcmplx_0(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_2,axiom,
( ~ element(X2,X1)
| ~ v2_membered(X1)
| v1_xcmplx_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_284_0,axiom,
( v1_xreal_0(X2)
| ~ v2_membered(X1)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_1,axiom,
( ~ v2_membered(X1)
| v1_xreal_0(X2)
| ~ element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_2,axiom,
( ~ element(X2,X1)
| ~ v2_membered(X1)
| v1_xreal_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_285_0,axiom,
( v1_xcmplx_0(X1)
| ~ element(X1,X2)
| ~ v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_1,axiom,
( ~ element(X1,X2)
| v1_xcmplx_0(X1)
| ~ v1_membered(X2) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_2,axiom,
( ~ v1_membered(X2)
| ~ element(X1,X2)
| v1_xcmplx_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_286_0,axiom,
( empty(X1)
| element(sk1_esk3_1(X1),powerset(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_1,axiom,
( element(sk1_esk3_1(X1),powerset(X1))
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_287_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_288_0,axiom,
( element(X2,X1)
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_1,axiom,
( ~ empty(X1)
| element(X2,X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| element(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_290_0,axiom,
( empty(X1)
| ~ empty(sk1_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_1,axiom,
( ~ empty(sk1_esk3_1(X1))
| empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_293_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_294_0,axiom,
( one_sorted_str(X1)
| ~ top_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_1,axiom,
( ~ top_str(X1)
| one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_295_0,axiom,
( v1_membered(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_1,axiom,
( ~ empty(X1)
| v1_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_296_0,axiom,
( v2_membered(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_1,axiom,
( ~ empty(X1)
| v2_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_297_0,axiom,
( v3_membered(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_1,axiom,
( ~ empty(X1)
| v3_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_298_0,axiom,
( v4_membered(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_1,axiom,
( ~ empty(X1)
| v4_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_299_0,axiom,
( v5_membered(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_1,axiom,
( ~ empty(X1)
| v5_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_300_0,axiom,
( v1_membered(X1)
| ~ v2_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_1,axiom,
( ~ v2_membered(X1)
| v1_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_301_0,axiom,
( v2_membered(X1)
| ~ v3_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_1,axiom,
( ~ v3_membered(X1)
| v2_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_302_0,axiom,
( v3_membered(X1)
| ~ v4_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_1,axiom,
( ~ v4_membered(X1)
| v3_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_303_0,axiom,
( v4_membered(X1)
| ~ v5_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_1,axiom,
( ~ v5_membered(X1)
| v4_membered(X1) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_305_0,axiom,
( X1 = empty_set
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_1,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_292_0,axiom,
~ empty(powerset(X1)),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_306_0,axiom,
~ empty(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_307_0,axiom,
~ empty(sk1_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_289_0,axiom,
element(sk1_esk4_1(X1),powerset(X1)),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_291_0,axiom,
element(sk1_esk6_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_304_0,axiom,
empty(sk1_esk4_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_308_0,axiom,
empty(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_309_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_310_0,axiom,
v1_membered(sk1_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_311_0,axiom,
v2_membered(sk1_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_312_0,axiom,
v3_membered(sk1_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_313_0,axiom,
v4_membered(sk1_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_314_0,axiom,
v5_membered(sk1_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_315_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_316_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_317_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_318_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_319_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_320_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_320]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
file('<stdin>',s3_subset_1__e2_37_1_1__pre_topc) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
! [X7] :
( topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& ( element(esk3_1(X7),powerset(the_carrier(esk1_0)))
| ~ element(X7,powerset(powerset(the_carrier(esk1_0)))) )
& ( ~ in(esk3_1(X7),X7)
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X7)),esk2_0)
| ~ element(X7,powerset(powerset(the_carrier(esk1_0)))) )
& ( in(esk3_1(X7),X7)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X7)),esk2_0)
| ~ element(X7,powerset(powerset(the_carrier(esk1_0)))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3_004,negated_conjecture,
( ~ element(X1,powerset(powerset(the_carrier(esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| in(esk3_1(X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
( element(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_008,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_009,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_010,negated_conjecture,
( ~ element(X1,powerset(powerset(the_carrier(esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ in(esk3_1(X1),X1) ),
c_0_3,
[final] ).
cnf(c_0_10_011,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| in(esk3_1(X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
c_0_4,
[final] ).
cnf(c_0_11_012,negated_conjecture,
( element(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
c_0_5,
[final] ).
cnf(c_0_12_013,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
c_0_6,
[final] ).
cnf(c_0_13_014,negated_conjecture,
topological_space(esk1_0),
c_0_7,
[final] ).
cnf(c_0_14_015,negated_conjecture,
top_str(esk1_0),
c_0_8,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_203,plain,
( ~ in(X0,sk1_esk5_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| in(X0,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_230_0) ).
cnf(c_99537,plain,
( ~ in(X0,sk1_esk5_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| in(X0,powerset(the_carrier(X1))) ),
inference(copy,[status(esa)],[c_203]) ).
cnf(c_99756,plain,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ top_str(sk2_esk1_0)
| in(sk1_esk7_2(X1,powerset(the_carrier(sk2_esk1_0))),powerset(the_carrier(sk2_esk1_0)))
| ~ in(sk1_esk7_2(X1,powerset(the_carrier(sk2_esk1_0))),sk1_esk5_2(sk2_esk1_0,X0))
| ~ topological_space(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_99537]) ).
cnf(c_100081,plain,
( ~ element(sk2_esk2_0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ top_str(sk2_esk1_0)
| in(sk1_esk7_2(X0,powerset(the_carrier(sk2_esk1_0))),powerset(the_carrier(sk2_esk1_0)))
| ~ in(sk1_esk7_2(X0,powerset(the_carrier(sk2_esk1_0))),sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))
| ~ topological_space(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_99756]) ).
cnf(c_107309,plain,
( ~ element(sk2_esk2_0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ top_str(sk2_esk1_0)
| in(sk1_esk7_2(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(the_carrier(sk2_esk1_0))),powerset(the_carrier(sk2_esk1_0)))
| ~ in(sk1_esk7_2(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(the_carrier(sk2_esk1_0))),sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))
| ~ topological_space(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_100081]) ).
cnf(c_216,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| in(sk2_esk3_1(X0),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_10) ).
cnf(c_296,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_216]) ).
cnf(c_319,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_296]) ).
cnf(c_328,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_319]) ).
cnf(c_331,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_328]) ).
cnf(c_552,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_331]) ).
cnf(c_13356,plain,
( ~ element(sk1_esk5_2(X0,X1),powerset(powerset(the_carrier(sk2_esk1_0))))
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(sk1_esk5_2(X0,X1))),sk2_esk2_0)
| in(sk2_esk3_1(sk1_esk5_2(X0,X1)),sk1_esk5_2(X0,X1)) ),
inference(instantiation,[status(thm)],[c_552]) ).
cnf(c_67372,plain,
( ~ element(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(powerset(the_carrier(sk2_esk1_0))))
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))),sk2_esk2_0)
| in(sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)),sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_13356]) ).
cnf(c_217,negated_conjecture,
( element(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0)))
| ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0)))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_11) ).
cnf(c_298,negated_conjecture,
( element(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0)))
| ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0)))) ),
inference(copy,[status(esa)],[c_217]) ).
cnf(c_320,negated_conjecture,
( element(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0)))
| ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0)))) ),
inference(copy,[status(esa)],[c_298]) ).
cnf(c_327,negated_conjecture,
( element(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0)))
| ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0)))) ),
inference(copy,[status(esa)],[c_320]) ).
cnf(c_332,negated_conjecture,
( element(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0)))
| ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0)))) ),
inference(copy,[status(esa)],[c_327]) ).
cnf(c_553,negated_conjecture,
( element(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0)))
| ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0)))) ),
inference(copy,[status(esa)],[c_332]) ).
cnf(c_55959,plain,
( ~ element(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(powerset(the_carrier(sk2_esk1_0))))
| element(sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)),powerset(the_carrier(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_553]) ).
cnf(c_195,plain,
( element(X0,powerset(X1))
| in(sk1_esk7_2(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_232_1) ).
cnf(c_531,plain,
( element(X0,powerset(X1))
| in(sk1_esk7_2(X0,X1),X0) ),
inference(copy,[status(esa)],[c_195]) ).
cnf(c_8269,plain,
( element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| in(sk1_esk7_2(X0,powerset(the_carrier(sk2_esk1_0))),X0) ),
inference(instantiation,[status(thm)],[c_531]) ).
cnf(c_13584,plain,
( element(sk1_esk5_2(X0,X1),powerset(powerset(the_carrier(sk2_esk1_0))))
| in(sk1_esk7_2(sk1_esk5_2(X0,X1),powerset(the_carrier(sk2_esk1_0))),sk1_esk5_2(X0,X1)) ),
inference(instantiation,[status(thm)],[c_8269]) ).
cnf(c_45022,plain,
( element(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(powerset(the_carrier(sk2_esk1_0))))
| in(sk1_esk7_2(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(the_carrier(sk2_esk1_0))),sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_13584]) ).
cnf(c_198,plain,
( ~ in(sk1_esk7_2(X0,X1),X1)
| element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_231_0) ).
cnf(c_534,plain,
( ~ in(sk1_esk7_2(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(copy,[status(esa)],[c_198]) ).
cnf(c_8285,plain,
( element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(sk1_esk7_2(X0,powerset(the_carrier(X1))),powerset(the_carrier(X1))) ),
inference(instantiation,[status(thm)],[c_534]) ).
cnf(c_45016,plain,
( element(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ in(sk1_esk7_2(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(the_carrier(sk2_esk1_0))),powerset(the_carrier(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_8285]) ).
cnf(c_142,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_251_0) ).
cnf(c_478,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_8265,plain,
( empty(powerset(X0))
| ~ element(X1,powerset(X0))
| in(X1,powerset(X0)) ),
inference(instantiation,[status(thm)],[c_478]) ).
cnf(c_13299,plain,
( empty(powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| in(X1,powerset(the_carrier(X0))) ),
inference(instantiation,[status(thm)],[c_8265]) ).
cnf(c_19862,plain,
( empty(powerset(the_carrier(sk2_esk1_0)))
| ~ element(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0)))
| in(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_13299]) ).
cnf(c_45006,plain,
( empty(powerset(the_carrier(sk2_esk1_0)))
| ~ element(sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)),powerset(the_carrier(sk2_esk1_0)))
| in(sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)),powerset(the_carrier(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_19862]) ).
cnf(c_215,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| ~ in(sk2_esk3_1(X0),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_9) ).
cnf(c_294,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| ~ in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_215]) ).
cnf(c_318,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| ~ in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_294]) ).
cnf(c_329,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| ~ in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_318]) ).
cnf(c_330,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| ~ in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_329]) ).
cnf(c_551,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| ~ in(sk2_esk3_1(X0),X0) ),
inference(copy,[status(esa)],[c_330]) ).
cnf(c_36449,plain,
( ~ element(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0),powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))),sk2_esk2_0)
| ~ in(sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)),sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_551]) ).
cnf(c_214,plain,
( ~ in(X0,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X0),X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| in(X0,sk1_esk5_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_228_0) ).
cnf(c_550,plain,
( ~ in(X0,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X0),X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| in(X0,sk1_esk5_2(X1,X2)) ),
inference(copy,[status(esa)],[c_214]) ).
cnf(c_19989,plain,
( ~ element(X0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ top_str(sk2_esk1_0)
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X1)),X0)
| ~ in(sk2_esk3_1(X1),powerset(the_carrier(sk2_esk1_0)))
| in(sk2_esk3_1(X1),sk1_esk5_2(sk2_esk1_0,X0))
| ~ topological_space(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_550]) ).
cnf(c_29073,plain,
( ~ element(sk2_esk2_0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ top_str(sk2_esk1_0)
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(X0)),sk2_esk2_0)
| ~ in(sk2_esk3_1(X0),powerset(the_carrier(sk2_esk1_0)))
| in(sk2_esk3_1(X0),sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))
| ~ topological_space(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_19989]) ).
cnf(c_36448,plain,
( ~ element(sk2_esk2_0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ top_str(sk2_esk1_0)
| ~ in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))),sk2_esk2_0)
| ~ in(sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)),powerset(the_carrier(sk2_esk1_0)))
| in(sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)),sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))
| ~ topological_space(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_29073]) ).
cnf(c_208,plain,
( ~ in(X0,sk1_esk5_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| in(set_difference(cast_as_carrier_subset(X1),X0),X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_229_0) ).
cnf(c_544,plain,
( ~ in(X0,sk1_esk5_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| in(set_difference(cast_as_carrier_subset(X1),X0),X2) ),
inference(copy,[status(esa)],[c_208]) ).
cnf(c_13357,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| in(set_difference(cast_as_carrier_subset(X1),sk2_esk3_1(sk1_esk5_2(X1,X0))),X0)
| ~ in(sk2_esk3_1(sk1_esk5_2(X1,X0)),sk1_esk5_2(X1,X0))
| ~ topological_space(X1) ),
inference(instantiation,[status(thm)],[c_544]) ).
cnf(c_13674,plain,
( ~ element(sk2_esk2_0,powerset(powerset(the_carrier(sk2_esk1_0))))
| ~ top_str(sk2_esk1_0)
| in(set_difference(cast_as_carrier_subset(sk2_esk1_0),sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))),sk2_esk2_0)
| ~ in(sk2_esk3_1(sk1_esk5_2(sk2_esk1_0,sk2_esk2_0)),sk1_esk5_2(sk2_esk1_0,sk2_esk2_0))
| ~ topological_space(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_13357]) ).
cnf(c_18,plain,
~ empty(powerset(X0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_292_0) ).
cnf(c_354,plain,
~ empty(powerset(X0)),
inference(copy,[status(esa)],[c_18]) ).
cnf(c_8424,plain,
~ empty(powerset(the_carrier(sk2_esk1_0))),
inference(instantiation,[status(thm)],[c_354]) ).
cnf(c_218,negated_conjecture,
element(sk2_esk2_0,powerset(powerset(the_carrier(sk2_esk1_0)))),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_12) ).
cnf(c_219,negated_conjecture,
topological_space(sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_13) ).
cnf(c_220,negated_conjecture,
top_str(sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p',c_0_14) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_107309,c_67372,c_55959,c_45022,c_45016,c_45006,c_36449,c_36448,c_13674,c_8424,c_218,c_219,c_220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 12:50:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.41 % FOF problem with conjecture
% 0.19/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_879604.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_5a186f | grep -v "SZS"
% 0.19/0.43
% 0.19/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % ------ iProver source info
% 0.19/0.43
% 0.19/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.43 % git: non_committed_changes: true
% 0.19/0.43 % git: last_make_outside_of_git: true
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % ------ Input Options
% 0.19/0.43
% 0.19/0.43 % --out_options all
% 0.19/0.43 % --tptp_safe_out true
% 0.19/0.43 % --problem_path ""
% 0.19/0.43 % --include_path ""
% 0.19/0.43 % --clausifier .//eprover
% 0.19/0.43 % --clausifier_options --tstp-format
% 0.19/0.43 % --stdin false
% 0.19/0.43 % --dbg_backtrace false
% 0.19/0.43 % --dbg_dump_prop_clauses false
% 0.19/0.43 % --dbg_dump_prop_clauses_file -
% 0.19/0.43 % --dbg_out_stat false
% 0.19/0.43
% 0.19/0.43 % ------ General Options
% 0.19/0.43
% 0.19/0.43 % --fof false
% 0.19/0.43 % --time_out_real 150.
% 0.19/0.43 % --time_out_prep_mult 0.2
% 0.19/0.43 % --time_out_virtual -1.
% 0.19/0.43 % --schedule none
% 0.19/0.43 % --ground_splitting input
% 0.19/0.43 % --splitting_nvd 16
% 0.19/0.43 % --non_eq_to_eq false
% 0.19/0.43 % --prep_gs_sim true
% 0.19/0.43 % --prep_unflatten false
% 0.19/0.43 % --prep_res_sim true
% 0.19/0.43 % --prep_upred true
% 0.19/0.43 % --res_sim_input true
% 0.19/0.43 % --clause_weak_htbl true
% 0.19/0.43 % --gc_record_bc_elim false
% 0.19/0.43 % --symbol_type_check false
% 0.19/0.43 % --clausify_out false
% 0.19/0.43 % --large_theory_mode false
% 0.19/0.43 % --prep_sem_filter none
% 0.19/0.43 % --prep_sem_filter_out false
% 0.19/0.43 % --preprocessed_out false
% 0.19/0.43 % --sub_typing false
% 0.19/0.43 % --brand_transform false
% 0.19/0.43 % --pure_diseq_elim true
% 0.19/0.43 % --min_unsat_core false
% 0.19/0.43 % --pred_elim true
% 0.19/0.43 % --add_important_lit false
% 0.19/0.43 % --soft_assumptions false
% 0.19/0.43 % --reset_solvers false
% 0.19/0.43 % --bc_imp_inh []
% 0.19/0.43 % --conj_cone_tolerance 1.5
% 0.19/0.43 % --prolific_symb_bound 500
% 0.19/0.43 % --lt_threshold 2000
% 0.19/0.43
% 0.19/0.43 % ------ SAT Options
% 0.19/0.43
% 0.19/0.43 % --sat_mode false
% 0.19/0.43 % --sat_fm_restart_options ""
% 0.19/0.43 % --sat_gr_def false
% 0.19/0.43 % --sat_epr_types true
% 0.19/0.43 % --sat_non_cyclic_types false
% 0.19/0.43 % --sat_finite_models false
% 0.19/0.43 % --sat_fm_lemmas false
% 0.19/0.43 % --sat_fm_prep false
% 0.19/0.43 % --sat_fm_uc_incr true
% 0.19/0.43 % --sat_out_model small
% 0.19/0.43 % --sat_out_clauses false
% 0.19/0.43
% 0.19/0.43 % ------ QBF Options
% 0.19/0.43
% 0.19/0.43 % --qbf_mode false
% 0.19/0.43 % --qbf_elim_univ true
% 0.19/0.43 % --qbf_sk_in true
% 0.19/0.43 % --qbf_pred_elim true
% 0.19/0.43 % --qbf_split 32
% 0.19/0.43
% 0.19/0.43 % ------ BMC1 Options
% 0.19/0.43
% 0.19/0.43 % --bmc1_incremental false
% 0.19/0.43 % --bmc1_axioms reachable_all
% 0.19/0.43 % --bmc1_min_bound 0
% 0.19/0.43 % --bmc1_max_bound -1
% 0.19/0.43 % --bmc1_max_bound_default -1
% 0.19/0.43 % --bmc1_symbol_reachability true
% 0.19/0.43 % --bmc1_property_lemmas false
% 0.19/0.43 % --bmc1_k_induction false
% 0.19/0.43 % --bmc1_non_equiv_states false
% 0.19/0.43 % --bmc1_deadlock false
% 0.19/0.43 % --bmc1_ucm false
% 0.19/0.43 % --bmc1_add_unsat_core none
% 0.19/0.43 % --bmc1_unsat_core_children false
% 0.19/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.43 % --bmc1_out_stat full
% 0.19/0.43 % --bmc1_ground_init false
% 0.19/0.43 % --bmc1_pre_inst_next_state false
% 0.19/0.43 % --bmc1_pre_inst_state false
% 0.19/0.43 % --bmc1_pre_inst_reach_state false
% 0.19/0.43 % --bmc1_out_unsat_core false
% 0.19/0.43 % --bmc1_aig_witness_out false
% 0.19/0.43 % --bmc1_verbose false
% 0.19/0.43 % --bmc1_dump_clauses_tptp false
% 0.19/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.44 % --bmc1_dump_file -
% 0.19/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.44 % --bmc1_ucm_extend_mode 1
% 0.19/0.44 % --bmc1_ucm_init_mode 2
% 0.19/0.44 % --bmc1_ucm_cone_mode none
% 0.19/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.44 % --bmc1_ucm_relax_model 4
% 0.19/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.44 % --bmc1_ucm_layered_model none
% 0.19/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.44
% 0.19/0.44 % ------ AIG Options
% 0.19/0.44
% 0.19/0.44 % --aig_mode false
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation Options
% 0.19/0.44
% 0.19/0.44 % --instantiation_flag true
% 0.19/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44 % --inst_solver_per_active 750
% 0.19/0.44 % --inst_solver_calls_frac 0.5
% 0.19/0.44 % --inst_passive_queue_type priority_queues
% 0.19/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44 % --inst_passive_queues_freq [25;2]
% 0.19/0.44 % --inst_dismatching true
% 0.19/0.44 % --inst_eager_unprocessed_to_passive true
% 0.19/0.44 % --inst_prop_sim_given true
% 0.19/0.44 % --inst_prop_sim_new false
% 0.19/0.44 % --inst_orphan_elimination true
% 0.19/0.44 % --inst_learning_loop_flag true
% 0.19/0.44 % --inst_learning_start 3000
% 0.19/0.44 % --inst_learning_factor 2
% 0.19/0.44 % --inst_start_prop_sim_after_learn 3
% 0.19/0.44 % --inst_sel_renew solver
% 0.19/0.44 % --inst_lit_activity_flag true
% 0.19/0.44 % --inst_out_proof true
% 0.19/0.44
% 0.19/0.44 % ------ Resolution Options
% 0.19/0.44
% 0.19/0.44 % --resolution_flag true
% 0.19/0.44 % --res_lit_sel kbo_max
% 0.19/0.44 % --res_to_prop_solver none
% 0.19/0.44 % --res_prop_simpl_new false
% 0.19/0.44 % --res_prop_simpl_given false
% 0.19/0.44 % --res_passive_queue_type priority_queues
% 0.19/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.44 % --res_passive_queues_freq [15;5]
% 0.19/0.44 % --res_forward_subs full
% 0.19/0.44 % --res_backward_subs full
% 0.19/0.44 % --res_forward_subs_resolution true
% 0.19/0.44 % --res_backward_subs_resolution true
% 0.19/0.44 % --res_orphan_elimination false
% 0.19/0.44 % --res_time_limit 1000.
% 0.19/0.44 % --res_out_proof true
% 0.19/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_879604.s
% 0.19/0.44 % --modulo true
% 0.19/0.44
% 0.19/0.44 % ------ Combination Options
% 0.19/0.44
% 0.19/0.44 % --comb_res_mult 1000
% 0.19/0.44 % --comb_inst_mult 300
% 0.19/0.44 % ------
% 0.19/0.44
% 0.19/0.44 % ------ Parsing...% successful
% 0.19/0.44
% 0.19/0.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.19/0.44
% 0.19/0.44 % ------ Proving...
% 0.19/0.44 % ------ Problem Properties
% 0.19/0.44
% 0.19/0.44 %
% 0.19/0.44 % EPR false
% 0.19/0.44 % Horn false
% 0.19/0.44 % Has equality true
% 0.19/0.44
% 0.19/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % % ------ Current options:
% 0.19/0.44
% 0.19/0.44 % ------ Input Options
% 0.19/0.44
% 0.19/0.44 % --out_options all
% 0.19/0.44 % --tptp_safe_out true
% 0.19/0.44 % --problem_path ""
% 0.19/0.44 % --include_path ""
% 0.19/0.44 % --clausifier .//eprover
% 0.19/0.44 % --clausifier_options --tstp-format
% 0.19/0.44 % --stdin false
% 0.19/0.44 % --dbg_backtrace false
% 0.19/0.44 % --dbg_dump_prop_clauses false
% 0.19/0.44 % --dbg_dump_prop_clauses_file -
% 0.19/0.44 % --dbg_out_stat false
% 0.19/0.44
% 0.19/0.44 % ------ General Options
% 0.19/0.44
% 0.19/0.44 % --fof false
% 0.19/0.44 % --time_out_real 150.
% 0.19/0.44 % --time_out_prep_mult 0.2
% 0.19/0.44 % --time_out_virtual -1.
% 0.19/0.44 % --schedule none
% 0.19/0.44 % --ground_splitting input
% 0.19/0.44 % --splitting_nvd 16
% 0.19/0.44 % --non_eq_to_eq false
% 0.19/0.44 % --prep_gs_sim true
% 0.19/0.44 % --prep_unflatten false
% 0.19/0.44 % --prep_res_sim true
% 0.19/0.44 % --prep_upred true
% 0.19/0.44 % --res_sim_input true
% 0.19/0.44 % --clause_weak_htbl true
% 0.19/0.44 % --gc_record_bc_elim false
% 0.19/0.44 % --symbol_type_check false
% 0.19/0.44 % --clausify_out false
% 0.19/0.44 % --large_theory_mode false
% 0.19/0.44 % --prep_sem_filter none
% 0.19/0.44 % --prep_sem_filter_out false
% 0.19/0.44 % --preprocessed_out false
% 0.19/0.44 % --sub_typing false
% 0.19/0.44 % --brand_transform false
% 0.19/0.44 % --pure_diseq_elim true
% 0.19/0.44 % --min_unsat_core false
% 0.19/0.44 % --pred_elim true
% 0.19/0.44 % --add_important_lit false
% 0.19/0.44 % --soft_assumptions false
% 0.19/0.44 % --reset_solvers false
% 0.19/0.44 % --bc_imp_inh []
% 0.19/0.44 % --conj_cone_tolerance 1.5
% 0.19/0.44 % --prolific_symb_bound 500
% 0.19/0.44 % --lt_threshold 2000
% 0.19/0.44
% 0.19/0.44 % ------ SAT Options
% 0.19/0.44
% 0.19/0.44 % --sat_mode false
% 0.19/0.44 % --sat_fm_restart_options ""
% 0.19/0.44 % --sat_gr_def false
% 0.19/0.44 % --sat_epr_types true
% 0.19/0.44 % --sat_non_cyclic_types false
% 0.19/0.44 % --sat_finite_models false
% 0.19/0.44 % --sat_fm_lemmas false
% 0.19/0.44 % --sat_fm_prep false
% 0.19/0.44 % --sat_fm_uc_incr true
% 0.19/0.44 % --sat_out_model small
% 0.19/0.44 % --sat_out_clauses false
% 0.19/0.44
% 0.19/0.44 % ------ QBF Options
% 0.19/0.44
% 0.19/0.44 % --qbf_mode false
% 0.19/0.44 % --qbf_elim_univ true
% 0.19/0.44 % --qbf_sk_in true
% 0.19/0.44 % --qbf_pred_elim true
% 0.19/0.44 % --qbf_split 32
% 0.19/0.44
% 0.19/0.44 % ------ BMC1 Options
% 0.19/0.44
% 0.19/0.44 % --bmc1_incremental false
% 0.19/0.44 % --bmc1_axioms reachable_all
% 0.19/0.44 % --bmc1_min_bound 0
% 0.19/0.44 % --bmc1_max_bound -1
% 0.19/0.44 % --bmc1_max_bound_default -1
% 0.19/0.44 % --bmc1_symbol_reachability true
% 0.19/0.44 % --bmc1_property_lemmas false
% 0.19/0.44 % --bmc1_k_induction false
% 0.19/0.44 % --bmc1_non_equiv_states false
% 0.19/0.44 % --bmc1_deadlock false
% 0.19/0.44 % --bmc1_ucm false
% 0.19/0.44 % --bmc1_add_unsat_core none
% 0.19/0.44 % --bmc1_unsat_core_children false
% 0.19/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.44 % --bmc1_out_stat full
% 0.19/0.44 % --bmc1_ground_init false
% 0.19/0.44 % --bmc1_pre_inst_next_state false
% 0.19/0.44 % --bmc1_pre_inst_state false
% 0.19/0.44 % --bmc1_pre_inst_reach_state false
% 0.19/0.44 % --bmc1_out_unsat_core false
% 0.19/0.44 % --bmc1_aig_witness_out false
% 0.19/0.44 % --bmc1_verbose false
% 0.19/0.44 % --bmc1_dump_clauses_tptp false
% 0.19/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.44 % --bmc1_dump_file -
% 0.19/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.44 % --bmc1_ucm_extend_mode 1
% 0.19/0.44 % --bmc1_ucm_init_mode 2
% 0.19/0.44 % --bmc1_ucm_cone_mode none
% 0.19/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.44 % --bmc1_ucm_relax_model 4
% 0.19/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.44 % --bmc1_ucm_layered_model none
% 0.19/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.44
% 0.19/0.44 % ------ AIG Options
% 0.19/0.44
% 0.19/0.44 % --aig_mode false
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation Options
% 0.19/0.44
% 0.19/0.44 % --instantiation_flag true
% 0.19/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44 % --inst_solver_per_active 750
% 0.19/0.44 % --inst_solver_calls_frac 0.5
% 0.19/0.44 % --inst_passive_queue_type priority_queues
% 0.19/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44 % --inst_passive_queues_freq [25;2]
% 0.19/0.44 % --inst_dismatching true
% 0.19/0.44 % --inst_eager_unprocessed_to_passive true
% 0.19/0.44 % --inst_prop_sim_given true
% 150.19/150.43 % --inst_prop_sim_new false
% 150.19/150.43 % --inst_orphan_elimination true
% 150.19/150.43 % --inst_learning_loop_flag true
% 150.19/150.43 % --inst_learning_start 3000
% 150.19/150.43 % --inst_learning_factor 2
% 150.19/150.43 % --inst_start_prop_sim_after_learn 3
% 150.19/150.43 % --inst_sel_renew solver
% 150.19/150.43 % --inst_lit_activity_flag true
% 150.19/150.43 % --inst_out_proof true
% 150.19/150.43
% 150.19/150.43 % ------ Resolution Options
% 150.19/150.43
% 150.19/150.43 % --resolution_flag true
% 150.19/150.43 % --res_lit_sel kbo_max
% 150.19/150.43 % --res_to_prop_solver none
% 150.19/150.43 % --res_prop_simpl_new false
% 150.19/150.43 % --res_prop_simpl_given false
% 150.19/150.43 % --res_passive_queue_type priority_queues
% 150.19/150.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.19/150.43 % --res_passive_queues_freq [15;5]
% 150.19/150.43 % --res_forward_subs full
% 150.19/150.43 % --res_backward_subs full
% 150.19/150.43 % --res_forward_subs_resolution true
% 150.19/150.43 % --res_backward_subs_resolution true
% 150.19/150.43 % --res_orphan_elimination false
% 150.19/150.43 % --res_time_limit 1000.
% 150.19/150.43 % --res_out_proof true
% 150.19/150.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_879604.s
% 150.19/150.43 % --modulo true
% 150.19/150.43
% 150.19/150.43 % ------ Combination Options
% 150.19/150.43
% 150.19/150.43 % --comb_res_mult 1000
% 150.19/150.43 % --comb_inst_mult 300
% 150.19/150.43 % ------
% 150.19/150.43
% 150.19/150.43
% 150.19/150.43
% 150.19/150.43 % ------ Proving...
% 150.19/150.43 %
% 150.19/150.43
% 150.19/150.43
% 150.19/150.43 % Time Out Real
% 150.19/150.43
% 150.19/150.43 % ------ Statistics
% 150.19/150.43
% 150.19/150.43 % ------ General
% 150.19/150.43
% 150.19/150.43 % num_of_input_clauses: 119
% 150.19/150.43 % num_of_input_neg_conjectures: 6
% 150.19/150.43 % num_of_splits: 0
% 150.19/150.43 % num_of_split_atoms: 0
% 150.19/150.43 % num_of_sem_filtered_clauses: 0
% 150.19/150.43 % num_of_subtypes: 0
% 150.19/150.43 % monotx_restored_types: 0
% 150.19/150.43 % sat_num_of_epr_types: 0
% 150.19/150.43 % sat_num_of_non_cyclic_types: 0
% 150.19/150.43 % sat_guarded_non_collapsed_types: 0
% 150.19/150.43 % is_epr: 0
% 150.19/150.43 % is_horn: 0
% 150.19/150.43 % has_eq: 1
% 150.19/150.43 % num_pure_diseq_elim: 0
% 150.19/150.43 % simp_replaced_by: 0
% 150.19/150.43 % res_preprocessed: 12
% 150.19/150.43 % prep_upred: 0
% 150.19/150.43 % prep_unflattend: 0
% 150.19/150.43 % pred_elim_cands: 0
% 150.19/150.43 % pred_elim: 0
% 150.19/150.43 % pred_elim_cl: 0
% 150.19/150.43 % pred_elim_cycles: 0
% 150.19/150.43 % forced_gc_time: 0
% 150.19/150.43 % gc_basic_clause_elim: 0
% 150.19/150.43 % parsing_time: 0.003
% 150.19/150.43 % sem_filter_time: 0.
% 150.19/150.43 % pred_elim_time: 0.
% 150.19/150.43 % out_proof_time: 0.
% 150.19/150.43 % monotx_time: 0.
% 150.19/150.43 % subtype_inf_time: 0.
% 150.19/150.43 % unif_index_cands_time: 0.014
% 150.19/150.43 % unif_index_add_time: 0.029
% 150.19/150.43 % total_time: 150.016
% 150.19/150.43 % num_of_symbols: 59
% 150.19/150.43 % num_of_terms: 37407
% 150.19/150.43
% 150.19/150.43 % ------ Propositional Solver
% 150.19/150.43
% 150.19/150.43 % prop_solver_calls: 9
% 150.19/150.43 % prop_fast_solver_calls: 33
% 150.19/150.43 % prop_num_of_clauses: 1411
% 150.19/150.43 % prop_preprocess_simplified: 2186
% 150.19/150.43 % prop_fo_subsumed: 0
% 150.19/150.43 % prop_solver_time: 0.
% 150.19/150.43 % prop_fast_solver_time: 0.
% 150.19/150.43 % prop_unsat_core_time: 0.
% 150.19/150.43
% 150.19/150.43 % ------ QBF
% 150.19/150.43
% 150.19/150.43 % qbf_q_res: 0
% 150.19/150.43 % qbf_num_tautologies: 0
% 150.19/150.43 % qbf_prep_cycles: 0
% 150.19/150.43
% 150.19/150.43 % ------ BMC1
% 150.19/150.43
% 150.19/150.43 % bmc1_current_bound: -1
% 150.19/150.43 % bmc1_last_solved_bound: -1
% 150.19/150.43 % bmc1_unsat_core_size: -1
% 150.19/150.43 % bmc1_unsat_core_parents_size: -1
% 150.19/150.43 % bmc1_merge_next_fun: 0
% 150.19/150.43 % bmc1_unsat_core_clauses_time: 0.
% 150.19/150.43
% 150.19/150.43 % ------ Instantiation
% 150.19/150.43
% 150.19/150.43 % inst_num_of_clauses: 1048
% 150.19/150.43 % inst_num_in_passive: 192
% 150.19/150.43 % inst_num_in_active: 720
% 150.19/150.43 % inst_num_in_unprocessed: 133
% 150.19/150.43 % inst_num_of_loops: 900
% 150.19/150.43 % inst_num_of_learning_restarts: 0
% 150.19/150.43 % inst_num_moves_active_passive: 173
% 150.19/150.43 % inst_lit_activity: 165
% 150.19/150.43 % inst_lit_activity_moves: 0
% 150.19/150.43 % inst_num_tautologies: 3
% 150.19/150.43 % inst_num_prop_implied: 0
% 150.19/150.43 % inst_num_existing_simplified: 0
% 150.19/150.43 % inst_num_eq_res_simplified: 0
% 150.19/150.43 % inst_num_child_elim: 0
% 150.19/150.43 % inst_num_of_dismatching_blockings: 415
% 150.19/150.43 % inst_num_of_non_proper_insts: 1411
% 150.19/150.43 % inst_num_of_duplicates: 840
% 150.19/150.43 % inst_inst_num_from_inst_to_res: 0
% 150.19/150.43 % inst_dismatching_checking_time: 0.001
% 150.19/150.43
% 150.19/150.43 % ------ Resolution
% 150.19/150.43
% 150.19/150.43 % res_num_of_clauses: 7110
% 150.19/150.43 % res_num_in_passive: 3835
% 150.19/150.43 % res_num_in_active: 3157
% 150.19/150.43 % res_num_of_loops: 3608
% 150.19/150.43 % res_forward_subset_subsumed: 1419
% 150.19/150.43 % res_backward_subset_subsumed: 0
% 150.19/150.43 % res_forward_subsumed: 470
% 150.19/150.43 % res_backward_subsumed: 0
% 150.19/150.43 % res_forward_subsumption_resolution: 71
% 150.19/150.43 % res_backward_subsumption_resolution: 0
% 150.19/150.43 % res_clause_to_clause_subsumption: 721056
% 150.19/150.43 % res_orphan_elimination: 0
% 150.19/150.43 % res_tautology_del: 1
% 150.19/150.43 % res_num_eq_res_simplified: 0
% 150.19/150.43 % res_num_sel_changes: 0
% 150.19/150.43 % res_moves_from_active_to_pass: 0
% 150.19/150.43
% 150.19/150.43 % Status Unknown
% 150.25/150.50 % Orienting using strategy ClausalAll
% 150.25/150.50 % FOF problem with conjecture
% 150.25/150.50 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_879604.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d8c5c4.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_34d501 | grep -v "SZS"
% 150.32/150.52
% 150.32/150.52 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.32/150.52
% 150.32/150.52 %
% 150.32/150.52 % ------ iProver source info
% 150.32/150.52
% 150.32/150.52 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.32/150.52 % git: non_committed_changes: true
% 150.32/150.52 % git: last_make_outside_of_git: true
% 150.32/150.52
% 150.32/150.52 %
% 150.32/150.52 % ------ Input Options
% 150.32/150.52
% 150.32/150.52 % --out_options all
% 150.32/150.52 % --tptp_safe_out true
% 150.32/150.52 % --problem_path ""
% 150.32/150.52 % --include_path ""
% 150.32/150.52 % --clausifier .//eprover
% 150.32/150.52 % --clausifier_options --tstp-format
% 150.32/150.52 % --stdin false
% 150.32/150.52 % --dbg_backtrace false
% 150.32/150.52 % --dbg_dump_prop_clauses false
% 150.32/150.52 % --dbg_dump_prop_clauses_file -
% 150.32/150.52 % --dbg_out_stat false
% 150.32/150.52
% 150.32/150.52 % ------ General Options
% 150.32/150.52
% 150.32/150.52 % --fof false
% 150.32/150.52 % --time_out_real 150.
% 150.32/150.52 % --time_out_prep_mult 0.2
% 150.32/150.52 % --time_out_virtual -1.
% 150.32/150.52 % --schedule none
% 150.32/150.52 % --ground_splitting input
% 150.32/150.52 % --splitting_nvd 16
% 150.32/150.52 % --non_eq_to_eq false
% 150.32/150.52 % --prep_gs_sim true
% 150.32/150.52 % --prep_unflatten false
% 150.32/150.52 % --prep_res_sim true
% 150.32/150.52 % --prep_upred true
% 150.32/150.52 % --res_sim_input true
% 150.32/150.52 % --clause_weak_htbl true
% 150.32/150.52 % --gc_record_bc_elim false
% 150.32/150.52 % --symbol_type_check false
% 150.32/150.52 % --clausify_out false
% 150.32/150.52 % --large_theory_mode false
% 150.32/150.52 % --prep_sem_filter none
% 150.32/150.52 % --prep_sem_filter_out false
% 150.32/150.52 % --preprocessed_out false
% 150.32/150.52 % --sub_typing false
% 150.32/150.52 % --brand_transform false
% 150.32/150.52 % --pure_diseq_elim true
% 150.32/150.52 % --min_unsat_core false
% 150.32/150.52 % --pred_elim true
% 150.32/150.52 % --add_important_lit false
% 150.32/150.52 % --soft_assumptions false
% 150.32/150.52 % --reset_solvers false
% 150.32/150.52 % --bc_imp_inh []
% 150.32/150.52 % --conj_cone_tolerance 1.5
% 150.32/150.52 % --prolific_symb_bound 500
% 150.32/150.52 % --lt_threshold 2000
% 150.32/150.52
% 150.32/150.52 % ------ SAT Options
% 150.32/150.52
% 150.32/150.52 % --sat_mode false
% 150.32/150.52 % --sat_fm_restart_options ""
% 150.32/150.52 % --sat_gr_def false
% 150.32/150.52 % --sat_epr_types true
% 150.32/150.52 % --sat_non_cyclic_types false
% 150.32/150.52 % --sat_finite_models false
% 150.32/150.52 % --sat_fm_lemmas false
% 150.32/150.52 % --sat_fm_prep false
% 150.32/150.52 % --sat_fm_uc_incr true
% 150.32/150.52 % --sat_out_model small
% 150.32/150.52 % --sat_out_clauses false
% 150.32/150.52
% 150.32/150.52 % ------ QBF Options
% 150.32/150.52
% 150.32/150.52 % --qbf_mode false
% 150.32/150.52 % --qbf_elim_univ true
% 150.32/150.52 % --qbf_sk_in true
% 150.32/150.52 % --qbf_pred_elim true
% 150.32/150.52 % --qbf_split 32
% 150.32/150.52
% 150.32/150.52 % ------ BMC1 Options
% 150.32/150.52
% 150.32/150.52 % --bmc1_incremental false
% 150.32/150.52 % --bmc1_axioms reachable_all
% 150.32/150.52 % --bmc1_min_bound 0
% 150.32/150.52 % --bmc1_max_bound -1
% 150.32/150.52 % --bmc1_max_bound_default -1
% 150.32/150.52 % --bmc1_symbol_reachability true
% 150.32/150.52 % --bmc1_property_lemmas false
% 150.32/150.52 % --bmc1_k_induction false
% 150.32/150.52 % --bmc1_non_equiv_states false
% 150.32/150.52 % --bmc1_deadlock false
% 150.32/150.52 % --bmc1_ucm false
% 150.32/150.52 % --bmc1_add_unsat_core none
% 150.32/150.52 % --bmc1_unsat_core_children false
% 150.32/150.52 % --bmc1_unsat_core_extrapolate_axioms false
% 150.32/150.52 % --bmc1_out_stat full
% 150.32/150.52 % --bmc1_ground_init false
% 150.32/150.52 % --bmc1_pre_inst_next_state false
% 150.32/150.52 % --bmc1_pre_inst_state false
% 150.32/150.52 % --bmc1_pre_inst_reach_state false
% 150.32/150.52 % --bmc1_out_unsat_core false
% 150.32/150.52 % --bmc1_aig_witness_out false
% 150.32/150.52 % --bmc1_verbose false
% 150.32/150.52 % --bmc1_dump_clauses_tptp false
% 150.34/150.53 % --bmc1_dump_unsat_core_tptp false
% 150.34/150.53 % --bmc1_dump_file -
% 150.34/150.53 % --bmc1_ucm_expand_uc_limit 128
% 150.34/150.53 % --bmc1_ucm_n_expand_iterations 6
% 150.34/150.53 % --bmc1_ucm_extend_mode 1
% 150.34/150.53 % --bmc1_ucm_init_mode 2
% 150.34/150.53 % --bmc1_ucm_cone_mode none
% 150.34/150.53 % --bmc1_ucm_reduced_relation_type 0
% 150.34/150.53 % --bmc1_ucm_relax_model 4
% 150.34/150.53 % --bmc1_ucm_full_tr_after_sat true
% 150.34/150.53 % --bmc1_ucm_expand_neg_assumptions false
% 150.34/150.53 % --bmc1_ucm_layered_model none
% 150.34/150.53 % --bmc1_ucm_max_lemma_size 10
% 150.34/150.53
% 150.34/150.53 % ------ AIG Options
% 150.34/150.53
% 150.34/150.53 % --aig_mode false
% 150.34/150.53
% 150.34/150.53 % ------ Instantiation Options
% 150.34/150.53
% 150.34/150.53 % --instantiation_flag true
% 150.34/150.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.34/150.53 % --inst_solver_per_active 750
% 150.34/150.53 % --inst_solver_calls_frac 0.5
% 150.34/150.53 % --inst_passive_queue_type priority_queues
% 150.34/150.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.34/150.53 % --inst_passive_queues_freq [25;2]
% 150.34/150.53 % --inst_dismatching true
% 150.34/150.53 % --inst_eager_unprocessed_to_passive true
% 150.34/150.53 % --inst_prop_sim_given true
% 150.34/150.53 % --inst_prop_sim_new false
% 150.34/150.53 % --inst_orphan_elimination true
% 150.34/150.53 % --inst_learning_loop_flag true
% 150.34/150.53 % --inst_learning_start 3000
% 150.34/150.53 % --inst_learning_factor 2
% 150.34/150.53 % --inst_start_prop_sim_after_learn 3
% 150.34/150.53 % --inst_sel_renew solver
% 150.34/150.53 % --inst_lit_activity_flag true
% 150.34/150.53 % --inst_out_proof true
% 150.34/150.53
% 150.34/150.53 % ------ Resolution Options
% 150.34/150.53
% 150.34/150.53 % --resolution_flag true
% 150.34/150.53 % --res_lit_sel kbo_max
% 150.34/150.53 % --res_to_prop_solver none
% 150.34/150.53 % --res_prop_simpl_new false
% 150.34/150.53 % --res_prop_simpl_given false
% 150.34/150.53 % --res_passive_queue_type priority_queues
% 150.34/150.53 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.34/150.54 % --res_passive_queues_freq [15;5]
% 150.34/150.54 % --res_forward_subs full
% 150.34/150.54 % --res_backward_subs full
% 150.34/150.54 % --res_forward_subs_resolution true
% 150.34/150.54 % --res_backward_subs_resolution true
% 150.34/150.54 % --res_orphan_elimination false
% 150.34/150.54 % --res_time_limit 1000.
% 150.34/150.54 % --res_out_proof true
% 150.34/150.54 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_879604.s
% 150.34/150.54 % --modulo true
% 150.34/150.54
% 150.34/150.54 % ------ Combination Options
% 150.34/150.54
% 150.34/150.54 % --comb_res_mult 1000
% 150.34/150.54 % --comb_inst_mult 300
% 150.34/150.54 % ------
% 150.34/150.54
% 150.34/150.54 % ------ Parsing...% successful
% 150.34/150.54
% 150.34/150.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.34/150.54
% 150.34/150.54 % ------ Proving...
% 150.34/150.54 % ------ Problem Properties
% 150.34/150.54
% 150.34/150.54 %
% 150.34/150.54 % EPR false
% 150.34/150.54 % Horn false
% 150.34/150.54 % Has equality true
% 150.34/150.54
% 150.34/150.54 % % ------ Input Options Time Limit: Unbounded
% 150.34/150.54
% 150.34/150.54
% 150.34/150.54 % % ------ Current options:
% 150.34/150.54
% 150.34/150.54 % ------ Input Options
% 150.34/150.54
% 150.34/150.54 % --out_options all
% 150.34/150.54 % --tptp_safe_out true
% 150.34/150.54 % --problem_path ""
% 150.34/150.54 % --include_path ""
% 150.34/150.54 % --clausifier .//eprover
% 150.34/150.54 % --clausifier_options --tstp-format
% 150.34/150.54 % --stdin false
% 150.34/150.54 % --dbg_backtrace false
% 150.34/150.54 % --dbg_dump_prop_clauses false
% 150.34/150.54 % --dbg_dump_prop_clauses_file -
% 150.34/150.54 % --dbg_out_stat false
% 150.34/150.54
% 150.34/150.54 % ------ General Options
% 150.34/150.54
% 150.34/150.54 % --fof false
% 150.34/150.54 % --time_out_real 150.
% 150.34/150.54 % --time_out_prep_mult 0.2
% 150.34/150.54 % --time_out_virtual -1.
% 150.34/150.54 % --schedule none
% 150.34/150.54 % --ground_splitting input
% 150.34/150.54 % --splitting_nvd 16
% 150.34/150.54 % --non_eq_to_eq false
% 150.34/150.54 % --prep_gs_sim true
% 150.34/150.54 % --prep_unflatten false
% 150.34/150.54 % --prep_res_sim true
% 150.34/150.54 % --prep_upred true
% 150.34/150.54 % --res_sim_input true
% 150.34/150.54 % --clause_weak_htbl true
% 150.34/150.54 % --gc_record_bc_elim false
% 150.34/150.54 % --symbol_type_check false
% 150.34/150.54 % --clausify_out false
% 150.34/150.54 % --large_theory_mode false
% 150.34/150.54 % --prep_sem_filter none
% 150.34/150.54 % --prep_sem_filter_out false
% 150.34/150.54 % --preprocessed_out false
% 150.34/150.54 % --sub_typing false
% 150.34/150.54 % --brand_transform false
% 150.34/150.54 % --pure_diseq_elim true
% 150.34/150.54 % --min_unsat_core false
% 150.34/150.54 % --pred_elim true
% 150.34/150.54 % --add_important_lit false
% 150.34/150.54 % --soft_assumptions false
% 150.34/150.54 % --reset_solvers false
% 150.34/150.54 % --bc_imp_inh []
% 150.34/150.54 % --conj_cone_tolerance 1.5
% 150.34/150.54 % --prolific_symb_bound 500
% 150.34/150.54 % --lt_threshold 2000
% 150.34/150.54
% 150.34/150.54 % ------ SAT Options
% 150.34/150.54
% 150.34/150.54 % --sat_mode false
% 150.34/150.54 % --sat_fm_restart_options ""
% 150.34/150.54 % --sat_gr_def false
% 150.34/150.54 % --sat_epr_types true
% 150.34/150.54 % --sat_non_cyclic_types false
% 150.34/150.54 % --sat_finite_models false
% 150.34/150.54 % --sat_fm_lemmas false
% 150.34/150.54 % --sat_fm_prep false
% 150.34/150.54 % --sat_fm_uc_incr true
% 150.34/150.54 % --sat_out_model small
% 150.34/150.54 % --sat_out_clauses false
% 150.34/150.54
% 150.34/150.54 % ------ QBF Options
% 150.34/150.54
% 150.34/150.54 % --qbf_mode false
% 150.34/150.54 % --qbf_elim_univ true
% 150.34/150.54 % --qbf_sk_in true
% 150.34/150.54 % --qbf_pred_elim true
% 150.34/150.54 % --qbf_split 32
% 150.34/150.54
% 150.34/150.54 % ------ BMC1 Options
% 150.34/150.54
% 150.34/150.54 % --bmc1_incremental false
% 150.34/150.54 % --bmc1_axioms reachable_all
% 150.34/150.54 % --bmc1_min_bound 0
% 150.34/150.54 % --bmc1_max_bound -1
% 150.34/150.54 % --bmc1_max_bound_default -1
% 150.34/150.54 % --bmc1_symbol_reachability true
% 150.34/150.54 % --bmc1_property_lemmas false
% 150.34/150.54 % --bmc1_k_induction false
% 150.34/150.54 % --bmc1_non_equiv_states false
% 150.34/150.54 % --bmc1_deadlock false
% 150.34/150.54 % --bmc1_ucm false
% 150.34/150.54 % --bmc1_add_unsat_core none
% 150.34/150.54 % --bmc1_unsat_core_children false
% 150.34/150.54 % --bmc1_unsat_core_extrapolate_axioms false
% 150.34/150.54 % --bmc1_out_stat full
% 150.34/150.54 % --bmc1_ground_init false
% 150.34/150.54 % --bmc1_pre_inst_next_state false
% 150.34/150.54 % --bmc1_pre_inst_state false
% 150.34/150.54 % --bmc1_pre_inst_reach_state false
% 150.34/150.54 % --bmc1_out_unsat_core false
% 150.34/150.54 % --bmc1_aig_witness_out false
% 150.34/150.54 % --bmc1_verbose false
% 150.34/150.54 % --bmc1_dump_clauses_tptp false
% 150.34/150.54 % --bmc1_dump_unsat_core_tptp false
% 150.34/150.54 % --bmc1_dump_file -
% 150.34/150.54 % --bmc1_ucm_expand_uc_limit 128
% 150.34/150.54 % --bmc1_ucm_n_expand_iterations 6
% 150.34/150.54 % --bmc1_ucm_extend_mode 1
% 150.34/150.54 % --bmc1_ucm_init_mode 2
% 150.34/150.54 % --bmc1_ucm_cone_mode none
% 150.34/150.54 % --bmc1_ucm_reduced_relation_type 0
% 150.34/150.54 % --bmc1_ucm_relax_model 4
% 150.34/150.54 % --bmc1_ucm_full_tr_after_sat true
% 150.34/150.54 % --bmc1_ucm_expand_neg_assumptions false
% 150.34/150.54 % --bmc1_ucm_layered_model none
% 150.34/150.54 % --bmc1_ucm_max_lemma_size 10
% 150.34/150.54
% 150.34/150.54 % ------ AIG Options
% 150.34/150.54
% 150.34/150.54 % --aig_mode false
% 150.34/150.54
% 150.34/150.54 % ------ Instantiation Options
% 150.34/150.54
% 150.34/150.54 % --instantiation_flag true
% 150.34/150.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.34/150.54 % --inst_solver_per_active 750
% 150.34/150.54 % --inst_solver_calls_frac 0.5
% 150.34/150.54 % --inst_passive_queue_type priority_queues
% 150.34/150.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.34/150.54 % --inst_passive_queues_freq [25;2]
% 150.34/150.54 % --inst_dismatching true
% 150.34/150.54 % --inst_eager_unprocessed_to_passive true
% 150.34/150.54 % --inst_prop_sim_given true
% 169.89/170.11 % --inst_prop_sim_new false
% 169.89/170.11 % --inst_orphan_elimination true
% 169.89/170.11 % --inst_learning_loop_flag true
% 169.89/170.11 % --inst_learning_start 3000
% 169.89/170.11 % --inst_learning_factor 2
% 169.89/170.11 % --inst_start_prop_sim_after_learn 3
% 169.89/170.11 % --inst_sel_renew solver
% 169.89/170.11 % --inst_lit_activity_flag true
% 169.89/170.11 % --inst_out_proof true
% 169.89/170.11
% 169.89/170.11 % ------ Resolution Options
% 169.89/170.11
% 169.89/170.11 % --resolution_flag true
% 169.89/170.11 % --res_lit_sel kbo_max
% 169.89/170.11 % --res_to_prop_solver none
% 169.89/170.11 % --res_prop_simpl_new false
% 169.89/170.11 % --res_prop_simpl_given false
% 169.89/170.11 % --res_passive_queue_type priority_queues
% 169.89/170.11 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 169.89/170.11 % --res_passive_queues_freq [15;5]
% 169.89/170.11 % --res_forward_subs full
% 169.89/170.11 % --res_backward_subs full
% 169.89/170.11 % --res_forward_subs_resolution true
% 169.89/170.11 % --res_backward_subs_resolution true
% 169.89/170.11 % --res_orphan_elimination false
% 169.89/170.11 % --res_time_limit 1000.
% 169.89/170.11 % --res_out_proof true
% 169.89/170.11 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_879604.s
% 169.89/170.11 % --modulo true
% 169.89/170.11
% 169.89/170.11 % ------ Combination Options
% 169.89/170.11
% 169.89/170.11 % --comb_res_mult 1000
% 169.89/170.11 % --comb_inst_mult 300
% 169.89/170.11 % ------
% 169.89/170.11
% 169.89/170.11
% 169.89/170.11
% 169.89/170.11 % ------ Proving...
% 169.89/170.11 %
% 169.89/170.11
% 169.89/170.11
% 169.89/170.11 % ------ Statistics
% 169.89/170.11
% 169.89/170.11 % ------ General
% 169.89/170.11
% 169.89/170.11 % num_of_input_clauses: 221
% 169.89/170.11 % num_of_input_neg_conjectures: 6
% 169.89/170.11 % num_of_splits: 0
% 169.89/170.11 % num_of_split_atoms: 0
% 169.89/170.11 % num_of_sem_filtered_clauses: 0
% 169.89/170.11 % num_of_subtypes: 0
% 169.89/170.11 % monotx_restored_types: 0
% 169.89/170.11 % sat_num_of_epr_types: 0
% 169.89/170.11 % sat_num_of_non_cyclic_types: 0
% 169.89/170.11 % sat_guarded_non_collapsed_types: 0
% 169.89/170.11 % is_epr: 0
% 169.89/170.11 % is_horn: 0
% 169.89/170.11 % has_eq: 1
% 169.89/170.11 % num_pure_diseq_elim: 0
% 169.89/170.11 % simp_replaced_by: 0
% 169.89/170.11 % res_preprocessed: 12
% 169.89/170.11 % prep_upred: 0
% 169.89/170.11 % prep_unflattend: 0
% 169.89/170.11 % pred_elim_cands: 0
% 169.89/170.11 % pred_elim: 0
% 169.89/170.11 % pred_elim_cl: 0
% 169.89/170.11 % pred_elim_cycles: 0
% 169.89/170.11 % forced_gc_time: 0
% 169.89/170.11 % gc_basic_clause_elim: 0
% 169.89/170.11 % parsing_time: 0.006
% 169.89/170.11 % sem_filter_time: 0.
% 169.89/170.11 % pred_elim_time: 0.
% 169.89/170.11 % out_proof_time: 0.004
% 169.89/170.11 % monotx_time: 0.
% 169.89/170.11 % subtype_inf_time: 0.
% 169.89/170.11 % unif_index_cands_time: 0.058
% 169.89/170.11 % unif_index_add_time: 0.031
% 169.89/170.11 % total_time: 19.61
% 169.89/170.11 % num_of_symbols: 59
% 169.89/170.11 % num_of_terms: 30719
% 169.89/170.11
% 169.89/170.11 % ------ Propositional Solver
% 169.89/170.11
% 169.89/170.11 % prop_solver_calls: 18
% 169.89/170.11 % prop_fast_solver_calls: 33
% 169.89/170.11 % prop_num_of_clauses: 4448
% 169.89/170.11 % prop_preprocess_simplified: 7985
% 169.89/170.11 % prop_fo_subsumed: 0
% 169.89/170.11 % prop_solver_time: 0.006
% 169.89/170.11 % prop_fast_solver_time: 0.
% 169.89/170.11 % prop_unsat_core_time: 0.001
% 169.89/170.11
% 169.89/170.11 % ------ QBF
% 169.89/170.11
% 169.89/170.11 % qbf_q_res: 0
% 169.89/170.11 % qbf_num_tautologies: 0
% 169.89/170.11 % qbf_prep_cycles: 0
% 169.89/170.11
% 169.89/170.11 % ------ BMC1
% 169.89/170.11
% 169.89/170.11 % bmc1_current_bound: -1
% 169.89/170.11 % bmc1_last_solved_bound: -1
% 169.89/170.11 % bmc1_unsat_core_size: -1
% 169.89/170.11 % bmc1_unsat_core_parents_size: -1
% 169.89/170.11 % bmc1_merge_next_fun: 0
% 169.89/170.11 % bmc1_unsat_core_clauses_time: 0.
% 169.89/170.11
% 169.89/170.11 % ------ Instantiation
% 169.89/170.11
% 169.89/170.11 % inst_num_of_clauses: 755
% 169.89/170.11 % inst_num_in_passive: 36
% 169.89/170.11 % inst_num_in_active: 461
% 169.89/170.11 % inst_num_in_unprocessed: 256
% 169.89/170.11 % inst_num_of_loops: 470
% 169.89/170.12 % inst_num_of_learning_restarts: 1
% 169.89/170.12 % inst_num_moves_active_passive: 4
% 169.89/170.12 % inst_lit_activity: 63
% 169.89/170.12 % inst_lit_activity_moves: 0
% 169.89/170.12 % inst_num_tautologies: 2
% 169.89/170.12 % inst_num_prop_implied: 0
% 169.89/170.12 % inst_num_existing_simplified: 0
% 169.89/170.12 % inst_num_eq_res_simplified: 0
% 169.89/170.12 % inst_num_child_elim: 0
% 169.89/170.12 % inst_num_of_dismatching_blockings: 204
% 169.89/170.12 % inst_num_of_non_proper_insts: 699
% 169.89/170.12 % inst_num_of_duplicates: 531
% 169.89/170.12 % inst_inst_num_from_inst_to_res: 0
% 169.89/170.12 % inst_dismatching_checking_time: 0.03
% 169.89/170.12
% 169.89/170.12 % ------ Resolution
% 169.89/170.12
% 169.89/170.12 % res_num_of_clauses: 9369
% 169.89/170.12 % res_num_in_passive: 5102
% 169.89/170.12 % res_num_in_active: 4116
% 169.89/170.12 % res_num_of_loops: 12000
% 169.89/170.12 % res_forward_subset_subsumed: 2048
% 169.89/170.12 % res_backward_subset_subsumed: 9
% 169.89/170.12 % res_forward_subsumed: 7956
% 169.89/170.12 % res_backward_subsumed: 0
% 169.89/170.12 % res_forward_subsumption_resolution: 90
% 169.89/170.12 % res_backward_subsumption_resolution: 0
% 169.89/170.12 % res_clause_to_clause_subsumption: 271296
% 169.89/170.12 % res_orphan_elimination: 0
% 169.89/170.12 % res_tautology_del: 1
% 169.89/170.12 % res_num_eq_res_simplified: 0
% 169.89/170.12 % res_num_sel_changes: 0
% 169.89/170.12 % res_moves_from_active_to_pass: 0
% 169.89/170.12
% 169.89/170.12 % Status Unsatisfiable
% 169.89/170.12 % SZS status Theorem
% 169.89/170.12 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------