%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU383+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:12:08 PM UTC 2026
% Result : Theorem 124.53s 85.42s
% Output : CNFRefutation 129.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 71
% Syntax : Number of formulae : 706 ( 519 unt; 0 def)
% Number of atoms : 1176 ( 69 equ)
% Maximal formula atoms : 28 ( 1 avg)
% Number of connectives : 816 ( 346 ~; 316 |; 98 &)
% ( 6 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 9 con; 0-2 aty)
% Number of variables : 803 ( 8 sgn 119 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t44_yellow_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(rc10_waybel_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& rel_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc10_waybel_0) ).
fof(t8_waybel_7,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1)
& element(X2,powerset(the_carrier(X1))) )
=> ( proper_element(X2,powerset(the_carrier(X1)))
<=> ~ in(bottom_of_relstr(X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel_7) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc4_finset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(rc3_finset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(cc3_yellow_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1) )
=> ( ~ empty_carrier(X1)
& ~ v1_yellow_3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_yellow_3) ).
fof(cc2_yellow_3,axiom,
! [X1] :
( rel_str(X1)
=> ( ~ v1_yellow_3(X1)
=> ~ empty_carrier(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_yellow_3) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc3_struct_0,axiom,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc1_finset_1,axiom,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(d20_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( upper_relstr_subset(X2,X1)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( in(X3,X2)
& related(X1,X3,X4) )
=> in(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_tex_2,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> ( proper_element(X2,powerset(X1))
<=> X2 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( rel_str(X1)
=> element(join_on_relstr(X1,X2),the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(cc2_finset_1,axiom,
! [X1] :
( finite(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> finite(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(dt_k3_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> element(bottom_of_relstr(X1),the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(d11_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> bottom_of_relstr(X1) = join_on_relstr(X1,empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(cc1_yellow_3,axiom,
! [X1] :
( rel_str(X1)
=> ( empty_carrier(X1)
=> v1_yellow_3(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_3) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(cc1_finset_1,axiom,
! [X1] :
( empty(X1)
=> finite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(existence_l1_struct_0,axiom,
? [X1] : one_sorted_str(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(existence_l1_orders_2,axiom,
? [X1] : rel_str(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_40,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[t44_yellow_0]) ).
fof(i_0_41,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& rel_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[rc10_waybel_0]) ).
fof(i_0_42,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1)
& element(X2,powerset(the_carrier(X1))) )
=> ( proper_element(X2,powerset(the_carrier(X1)))
<=> ~ in(bottom_of_relstr(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_waybel_7])]) ).
fof(i_0_43,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(i_0_44,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_45,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
inference(fof_simplification,[status(thm)],[rc4_finset_1]) ).
fof(i_0_46,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
inference(fof_simplification,[status(thm)],[rc3_finset_1]) ).
fof(i_0_47,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_48,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(i_0_49,plain,
! [X1] :
( rel_str(X1)
=> ( ( ~ empty_carrier(X1)
& reflexive_relstr(X1) )
=> ( ~ empty_carrier(X1)
& ~ v1_yellow_3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_yellow_3]) ).
fof(i_0_50,plain,
! [X1] :
( rel_str(X1)
=> ( ~ v1_yellow_3(X1)
=> ~ empty_carrier(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_yellow_3]) ).
fof(i_0_51,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_52,plain,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).
fof(i_0_53,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_54,plain,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
inference(fof_simplification,[status(thm)],[rc1_finset_1]) ).
fof(i_0_55,plain,
! [X81,X82,X83,X84] :
( ( ~ upper_relstr_subset(X82,X81)
| ~ element(X83,the_carrier(X81))
| ~ element(X84,the_carrier(X81))
| ~ in(X83,X82)
| ~ related(X81,X83,X84)
| in(X84,X82)
| ~ element(X82,powerset(the_carrier(X81)))
| ~ rel_str(X81) )
& ( element(esk1_2(X81,X82),the_carrier(X81))
| upper_relstr_subset(X82,X81)
| ~ element(X82,powerset(the_carrier(X81)))
| ~ rel_str(X81) )
& ( element(esk2_2(X81,X82),the_carrier(X81))
| upper_relstr_subset(X82,X81)
| ~ element(X82,powerset(the_carrier(X81)))
| ~ rel_str(X81) )
& ( in(esk1_2(X81,X82),X82)
| upper_relstr_subset(X82,X81)
| ~ element(X82,powerset(the_carrier(X81)))
| ~ rel_str(X81) )
& ( related(X81,esk1_2(X81,X82),esk2_2(X81,X82))
| upper_relstr_subset(X82,X81)
| ~ element(X82,powerset(the_carrier(X81)))
| ~ rel_str(X81) )
& ( ~ in(esk2_2(X81,X82),X82)
| upper_relstr_subset(X82,X81)
| ~ element(X82,powerset(the_carrier(X81)))
| ~ rel_str(X81) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d20_waybel_0])])])])]) ).
fof(i_0_56,plain,
! [X118,X119] :
( ( ~ in(esk16_2(X118,X119),X118)
| ~ in(esk16_2(X118,X119),X119)
| X118 = X119 )
& ( in(esk16_2(X118,X119),X118)
| in(esk16_2(X118,X119),X119)
| X118 = X119 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(i_0_57,plain,
! [X123,X124] :
( empty_carrier(X123)
| ~ antisymmetric_relstr(X123)
| ~ lower_bounded_relstr(X123)
| ~ rel_str(X123)
| ~ element(X124,the_carrier(X123))
| related(X123,bottom_of_relstr(X123),X124) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])])]) ).
fof(i_0_58,plain,
! [X125,X126,X127] :
( ~ in(X125,X126)
| ~ element(X126,powerset(X127))
| element(X125,X127) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_59,plain,
! [X131,X132] :
( ( ~ proper_element(X132,powerset(X131))
| X132 != X131
| ~ element(X132,powerset(X131)) )
& ( X132 = X131
| proper_element(X132,powerset(X131))
| ~ element(X132,powerset(X131)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tex_2])])]) ).
fof(i_0_60,plain,
! [X97] :
( ( element(esk6_1(X97),powerset(the_carrier(X97)))
| empty_carrier(X97)
| ~ reflexive_relstr(X97)
| ~ transitive_relstr(X97)
| ~ rel_str(X97) )
& ( ~ empty(esk6_1(X97))
| empty_carrier(X97)
| ~ reflexive_relstr(X97)
| ~ transitive_relstr(X97)
| ~ rel_str(X97) )
& ( filtered_subset(esk6_1(X97),X97)
| empty_carrier(X97)
| ~ reflexive_relstr(X97)
| ~ transitive_relstr(X97)
| ~ rel_str(X97) )
& ( upper_relstr_subset(esk6_1(X97),X97)
| empty_carrier(X97)
| ~ reflexive_relstr(X97)
| ~ transitive_relstr(X97)
| ~ rel_str(X97) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])])])]) ).
fof(i_0_61,plain,
! [X128,X129,X130] :
( ~ in(X128,X129)
| ~ element(X129,powerset(X130))
| ~ empty(X130) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_62,negated_conjecture,
( ~ empty_carrier(esk17_0)
& reflexive_relstr(esk17_0)
& transitive_relstr(esk17_0)
& antisymmetric_relstr(esk17_0)
& lower_bounded_relstr(esk17_0)
& rel_str(esk17_0)
& ~ empty(esk18_0)
& filtered_subset(esk18_0,esk17_0)
& upper_relstr_subset(esk18_0,esk17_0)
& element(esk18_0,powerset(the_carrier(esk17_0)))
& ( ~ proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| in(bottom_of_relstr(esk17_0),esk18_0) )
& ( proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| ~ in(bottom_of_relstr(esk17_0),esk18_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_42])])]) ).
fof(i_0_63,plain,
! [X87,X88] :
( ~ rel_str(X87)
| element(join_on_relstr(X87,X88),the_carrier(X87)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])]) ).
fof(i_0_64,plain,
! [X111] :
( ( element(esk15_1(X111),powerset(the_carrier(X111)))
| empty_carrier(X111)
| ~ one_sorted_str(X111) )
& ( ~ empty(esk15_1(X111))
| empty_carrier(X111)
| ~ one_sorted_str(X111) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_43])])])]) ).
fof(i_0_65,plain,
! [X121,X122] :
( ( ~ element(X121,powerset(X122))
| subset(X121,X122) )
& ( ~ subset(X121,X122)
| element(X121,powerset(X122)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_66,plain,
! [X72,X73] :
( ~ in(X72,X73)
| ~ in(X73,X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_44])]) ).
fof(i_0_67,plain,
! [X76,X77] :
( ~ finite(X76)
| ~ element(X77,powerset(X76))
| finite(X77) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])]) ).
fof(i_0_68,plain,
! [X116,X117] :
( ~ element(X116,X117)
| empty(X117)
| in(X116,X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_69,plain,
! [X114,X115] :
( ~ in(X114,X115)
| element(X114,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_70,plain,
! [X89] :
( ~ rel_str(X89)
| element(bottom_of_relstr(X89),the_carrier(X89)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_yellow_0])]) ).
fof(i_0_71,plain,
! [X109] :
( ( element(esk14_1(X109),powerset(X109))
| empty(X109) )
& ( ~ empty(esk14_1(X109))
| empty(X109) )
& ( finite(esk14_1(X109))
| empty(X109) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_45])])])]) ).
fof(i_0_72,plain,
! [X106] :
( ( element(esk12_1(X106),powerset(X106))
| empty(X106) )
& ( ~ empty(esk12_1(X106))
| empty(X106) )
& ( finite(esk12_1(X106))
| empty(X106) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_46])])])]) ).
fof(i_0_73,plain,
! [X100] :
( ( element(esk8_1(X100),powerset(X100))
| empty(X100) )
& ( ~ empty(esk8_1(X100))
| empty(X100) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_47])])])]) ).
fof(i_0_74,plain,
! [X134,X135] :
( ~ in(X134,X135)
| ~ empty(X135) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_75,plain,
! [X95] :
( empty_carrier(X95)
| ~ one_sorted_str(X95)
| ~ empty(the_carrier(X95)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_48])]) ).
fof(i_0_76,plain,
! [X103] :
( element(esk10_1(X103),powerset(X103))
& empty(esk10_1(X103)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_77,plain,
! [X79] :
( ( ~ empty_carrier(X79)
| empty_carrier(X79)
| ~ reflexive_relstr(X79)
| ~ rel_str(X79) )
& ( ~ v1_yellow_3(X79)
| empty_carrier(X79)
| ~ reflexive_relstr(X79)
| ~ rel_str(X79) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_49])])]) ).
fof(i_0_78,plain,
! [X80] :
( ~ rel_str(X80)
| bottom_of_relstr(X80) = join_on_relstr(X80,empty_set) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_yellow_0])]) ).
fof(i_0_79,plain,
! [X93] : element(esk5_1(X93),X93),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_80,plain,
! [X78] :
( ~ rel_str(X78)
| v1_yellow_3(X78)
| ~ empty_carrier(X78) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_50])]) ).
fof(i_0_81,plain,
! [X75] :
( ~ rel_str(X75)
| ~ empty_carrier(X75)
| v1_yellow_3(X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_yellow_3])]) ).
fof(i_0_82,plain,
! [X96] : ~ empty(powerset(X96)),
inference(variable_rename,[status(thm)],[i_0_51]) ).
fof(i_0_83,plain,
! [X136,X137] :
( ~ empty(X136)
| X136 = X137
| ~ empty(X137) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_84,plain,
! [X113] : subset(X113,X113),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_85,plain,
! [X90] :
( ~ rel_str(X90)
| one_sorted_str(X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(i_0_86,plain,
! [X74] :
( ~ empty(X74)
| finite(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])]) ).
fof(i_0_87,plain,
! [X133] :
( ~ empty(X133)
| X133 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_88,plain,
( one_sorted_str(esk13_0)
& ~ empty_carrier(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_52])]) ).
fof(i_0_89,plain,
~ empty(esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_53])]) ).
fof(i_0_90,plain,
( ~ empty(esk7_0)
& finite(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_54])]) ).
fof(i_0_91,plain,
one_sorted_str(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).
fof(i_0_92,plain,
rel_str(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_orders_2])]) ).
fof(i_0_93,plain,
empty(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_94,plain,
( in(X4,X1)
| ~ upper_relstr_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ in(X3,X1)
| ~ related(X2,X3,X4)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_95,plain,
( related(X1,esk1_2(X1,X2),esk2_2(X1,X2))
| upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_96,plain,
( upper_relstr_subset(X2,X1)
| ~ in(esk2_2(X1,X2),X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_97,plain,
( X1 = X2
| ~ in(esk16_2(X1,X2),X1)
| ~ in(esk16_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_98,plain,
( element(esk2_2(X1,X2),the_carrier(X1))
| upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_99,plain,
( element(esk1_2(X1,X2),the_carrier(X1))
| upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_100,plain,
( empty_carrier(X1)
| related(X1,bottom_of_relstr(X1),X2)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_101,plain,
( in(esk1_2(X1,X2),X2)
| upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_102,plain,
( in(esk16_2(X1,X2),X1)
| in(esk16_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_103,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_104,plain,
( ~ proper_element(X1,powerset(X2))
| X1 != X2
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_105,plain,
( element(esk6_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_106,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_107,negated_conjecture,
( in(bottom_of_relstr(esk17_0),esk18_0)
| ~ proper_element(esk18_0,powerset(the_carrier(esk17_0))) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_108,plain,
( X1 = X2
| proper_element(X1,powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_109,plain,
( element(join_on_relstr(X1,X2),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_110,plain,
( element(esk15_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_111,negated_conjecture,
( proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| ~ in(bottom_of_relstr(esk17_0),esk18_0) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_112,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_113,plain,
( filtered_subset(esk6_1(X1),X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_114,plain,
( upper_relstr_subset(esk6_1(X1),X1)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_115,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_116,plain,
( finite(X2)
| ~ finite(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_117,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_118,plain,
( empty_carrier(X1)
| ~ empty(esk6_1(X1))
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_119,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_120,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_121,plain,
( element(bottom_of_relstr(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_122,plain,
( element(esk14_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_123,plain,
( element(esk12_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_124,plain,
( element(esk8_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_125,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_126,plain,
( empty_carrier(X1)
| ~ empty(esk15_1(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_127,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_128,plain,
element(esk10_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_129,plain,
( empty_carrier(X1)
| ~ v1_yellow_3(X1)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_130,negated_conjecture,
element(esk18_0,powerset(the_carrier(esk17_0))),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_131,plain,
( bottom_of_relstr(X1) = join_on_relstr(X1,empty_set)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_132,plain,
( empty(X1)
| ~ empty(esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_133,plain,
( empty(X1)
| ~ empty(esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_134,plain,
( empty(X1)
| ~ empty(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_135,plain,
element(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_136,plain,
( v1_yellow_3(X1)
| ~ rel_str(X1)
| ~ empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_137,plain,
( v1_yellow_3(X1)
| ~ rel_str(X1)
| ~ empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_138,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_139,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_140,plain,
( finite(esk14_1(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_141,plain,
( finite(esk12_1(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_142,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_143,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_144,plain,
( finite(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_145,negated_conjecture,
filtered_subset(esk18_0,esk17_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_146,negated_conjecture,
upper_relstr_subset(esk18_0,esk17_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_147,plain,
empty(esk10_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_148,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_149,negated_conjecture,
~ empty_carrier(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_150,plain,
~ empty_carrier(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_151,negated_conjecture,
~ empty(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_152,plain,
~ empty(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_153,plain,
~ empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_154,negated_conjecture,
lower_bounded_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_155,negated_conjecture,
antisymmetric_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_156,negated_conjecture,
transitive_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_157,plain,
one_sorted_str(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_158,plain,
one_sorted_str(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_159,negated_conjecture,
reflexive_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_160,negated_conjecture,
rel_str(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_161,plain,
rel_str(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_162,plain,
finite(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_163,plain,
empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_164,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_165,axiom,
X1 = X1 ).
cnf(i_0_166,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_167,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_168,axiom,
( X1 != X2
| bottom_of_relstr(X1) = bottom_of_relstr(X2) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| join_on_relstr(X1,X3) = join_on_relstr(X2,X3) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| join_on_relstr(X3,X1) = join_on_relstr(X3,X2) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| ~ reflexive_relstr(X1)
| reflexive_relstr(X2) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| ~ transitive_relstr(X1)
| transitive_relstr(X2) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| ~ one_sorted_str(X1)
| one_sorted_str(X2) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ filtered_subset(X1,X3)
| filtered_subset(X2,X3) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ filtered_subset(X3,X1)
| filtered_subset(X3,X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ finite(X1)
| finite(X2) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ v1_yellow_3(X1)
| v1_yellow_3(X2) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ upper_relstr_subset(X1,X3)
| upper_relstr_subset(X2,X3) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ upper_relstr_subset(X3,X1)
| upper_relstr_subset(X3,X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ related(X1,X3,X4)
| related(X2,X3,X4) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ related(X3,X1,X4)
| related(X3,X2,X4) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ related(X3,X4,X1)
| related(X3,X4,X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ rel_str(X1)
| rel_str(X2) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ empty_carrier(X1)
| empty_carrier(X2) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ antisymmetric_relstr(X1)
| antisymmetric_relstr(X2) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ lower_bounded_relstr(X1)
| lower_bounded_relstr(X2) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ proper_element(X1,X3)
| proper_element(X2,X3) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ proper_element(X3,X1)
| proper_element(X3,X2) ) ).
cnf(i_0_1224,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1226,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1228,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1230,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1232,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1234,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1236,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1238,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1240,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1242,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1244,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1246,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1248,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1250,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1252,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1254,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1256,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1258,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1260,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1262,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1264,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1266,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1268,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1270,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1272,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1274,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1276,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1278,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1280,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1282,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1284,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1286,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1288,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1290,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1292,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1294,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1296,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1298,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1300,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1302,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1304,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1306,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1308,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1310,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1312,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1314,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1316,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1318,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1320,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1322,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1324,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1326,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1328,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1330,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1332,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1334,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1336,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1338,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1340,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1342,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1344,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1346,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1348,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1350,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1352,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1354,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1356,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1358,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1360,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1362,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1364,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1366,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1368,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1370,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1372,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1374,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1376,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1378,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1380,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1382,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1384,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1386,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1388,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1390,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1392,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1394,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1396,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1398,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1400,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1402,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1404,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1406,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1408,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1410,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1412,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1414,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1416,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1418,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1420,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1422,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1424,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1426,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1428,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1430,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1432,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1434,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1436,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1438,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1440,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1442,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1444,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1446,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1448,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1450,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1452,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1454,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1456,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1458,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1460,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1462,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1464,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1466,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1468,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1470,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1472,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1474,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1476,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1478,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1480,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1482,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1484,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1486,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1488,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1490,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1492,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1494,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1496,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1498,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1500,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1502,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1504,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1506,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1508,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1510,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1512,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1514,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1516,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1518,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1520,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1522,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1524,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1526,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1528,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1530,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1532,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1534,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1536,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1538,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1540,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1542,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1544,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1546,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1548,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1550,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1552,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1554,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1556,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1558,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1560,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1562,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1564,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1566,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1568,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1570,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1572,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1574,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1576,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1578,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1580,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1582,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1584,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1586,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1588,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1590,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1592,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1594,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1596,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1598,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1600,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1602,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1604,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1606,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1608,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1610,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1612,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1614,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1616,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1618,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1620,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1622,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1624,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1626,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1628,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1630,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1632,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1634,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1636,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1638,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1640,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1642,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1644,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1646,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1648,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1650,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1652,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1654,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1656,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1658,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1660,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1662,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1664,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1666,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1668,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1670,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1672,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1674,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1676,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1678,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1680,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1682,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1684,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1686,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1688,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1690,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1692,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1694,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1696,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1698,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1700,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1702,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1704,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1706,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1708,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1710,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1712,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1714,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1716,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1718,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1720,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1722,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1724,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1726,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1728,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1730,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1732,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1734,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1736,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1738,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1740,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1742,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1744,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1746,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1748,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1750,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1752,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1754,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1756,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1758,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1760,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1762,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1764,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1766,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1768,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1770,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1772,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1774,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1776,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1778,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1780,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1782,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1784,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1786,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1788,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1790,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1792,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1794,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1796,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1798,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1800,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1802,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1804,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1806,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1808,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1810,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1812,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1814,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1816,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1818,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1820,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1822,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1824,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1826,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1828,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1830,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1832,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1834,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1836,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1838,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1840,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1842,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1844,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1846,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1848,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1850,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1852,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1854,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1856,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1858,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1860,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1862,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1864,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1866,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1868,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1870,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1872,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1874,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1876,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1878,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1880,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1882,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1884,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1886,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1888,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1890,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1892,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1894,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1896,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1898,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1900,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1902,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1904,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1906,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1908,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1910,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1912,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1914,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1916,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1918,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1920,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1922,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1924,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1926,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1928,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1930,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1932,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1934,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1936,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1938,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1940,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1942,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1944,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1946,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1948,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1950,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1952,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1954,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1956,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1958,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1960,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1962,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1964,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1966,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1968,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1970,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1972,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1974,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1976,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1978,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1980,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1982,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1984,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1986,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1988,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1990,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1992,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1994,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1996,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_1998,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2000,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2002,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2004,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2006,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2008,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2010,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2012,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2014,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2016,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2018,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2020,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2022,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2024,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2026,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2028,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2030,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2032,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2034,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2036,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2038,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2040,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2042,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2044,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2046,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2048,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2050,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2052,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2054,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2056,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2058,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2060,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2062,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2064,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2066,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2068,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2070,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2072,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2074,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2076,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2078,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2080,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2082,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2084,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2086,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2088,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2090,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2092,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2094,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2096,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2098,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2100,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2102,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2104,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2106,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2108,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2110,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2112,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2114,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2116,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2118,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2120,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2122,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2124,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2126,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2128,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2130,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2132,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2134,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2136,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2138,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_2140,plain,
element(esk5_1(X1),X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(c_0_187,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_103 ).
cnf(c_0_188,negated_conjecture,
element(esk18_0,powerset(the_carrier(esk17_0))),
i_0_130 ).
cnf(c_0_189,plain,
( element(esk6_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
i_0_105 ).
cnf(c_0_190,negated_conjecture,
transitive_relstr(esk17_0),
i_0_156 ).
cnf(c_0_191,negated_conjecture,
reflexive_relstr(esk17_0),
i_0_159 ).
cnf(c_0_192,negated_conjecture,
rel_str(esk17_0),
i_0_160 ).
cnf(c_0_193,negated_conjecture,
~ empty_carrier(esk17_0),
i_0_149 ).
cnf(c_0_194,negated_conjecture,
( element(X1,the_carrier(esk17_0))
| ~ in(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_195,plain,
( in(esk16_2(X1,X2),X1)
| in(esk16_2(X1,X2),X2)
| X1 = X2 ),
i_0_102 ).
cnf(c_0_196,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
i_0_106 ).
cnf(c_0_197,negated_conjecture,
element(esk6_1(esk17_0),powerset(the_carrier(esk17_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_192])]),c_0_193]) ).
cnf(c_0_198,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_119 ).
cnf(c_0_199,plain,
element(esk5_1(X1),X1),
i_0_135 ).
cnf(c_0_200,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
i_0_120 ).
cnf(c_0_201,negated_conjecture,
( esk18_0 = X1
| element(esk16_2(esk18_0,X1),the_carrier(esk17_0))
| in(esk16_2(esk18_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_202,plain,
( ~ empty(the_carrier(esk17_0))
| ~ in(X1,esk6_1(esk17_0)) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_203,plain,
( empty(X1)
| in(esk5_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_204,plain,
( esk18_0 = X1
| element(esk16_2(esk18_0,X1),the_carrier(esk17_0))
| element(esk16_2(esk18_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_205,plain,
( empty_carrier(X1)
| ~ empty(esk6_1(X1))
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
i_0_118 ).
cnf(c_0_206,plain,
( empty(esk6_1(esk17_0))
| ~ empty(the_carrier(esk17_0)) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_207,plain,
( element(bottom_of_relstr(X1),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_121 ).
cnf(c_0_208,plain,
( in(X1,X2)
| ~ upper_relstr_subset(X2,X3)
| ~ element(X4,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ in(X4,X2)
| ~ related(X3,X4,X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3) ),
i_0_94 ).
cnf(c_0_209,plain,
( X1 = X2
| proper_element(X1,powerset(X2))
| ~ element(X1,powerset(X2)) ),
i_0_108 ).
cnf(c_0_210,plain,
( the_carrier(esk17_0) = esk18_0
| element(esk16_2(esk18_0,the_carrier(esk17_0)),the_carrier(esk17_0)) ),
inference(ef,[status(thm)],[c_0_204]) ).
cnf(c_0_211,plain,
~ empty(the_carrier(esk17_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_190]),c_0_191]),c_0_192])]),c_0_193]) ).
cnf(c_0_212,plain,
( empty(the_carrier(X1))
| in(bottom_of_relstr(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_207]) ).
cnf(c_0_213,plain,
( in(X1,X2)
| ~ rel_str(X3)
| ~ related(X3,X4,X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X1,the_carrier(X3))
| ~ upper_relstr_subset(X2,X3)
| ~ in(X4,X2) ),
inference(csr,[status(thm)],[c_0_208,c_0_187]) ).
cnf(c_0_214,negated_conjecture,
upper_relstr_subset(esk18_0,esk17_0),
i_0_146 ).
cnf(c_0_215,plain,
( empty_carrier(X1)
| related(X1,bottom_of_relstr(X1),X2)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_100 ).
cnf(c_0_216,negated_conjecture,
lower_bounded_relstr(esk17_0),
i_0_154 ).
cnf(c_0_217,negated_conjecture,
antisymmetric_relstr(esk17_0),
i_0_155 ).
cnf(c_0_218,negated_conjecture,
( in(bottom_of_relstr(esk17_0),esk18_0)
| ~ proper_element(esk18_0,powerset(the_carrier(esk17_0))) ),
i_0_107 ).
cnf(c_0_219,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| proper_element(esk18_0,powerset(the_carrier(esk17_0))) ),
inference(spm,[status(thm)],[c_0_209,c_0_188]) ).
cnf(c_0_220,plain,
( X1 = X2
| ~ in(esk16_2(X1,X2),X1)
| ~ in(esk16_2(X1,X2),X2) ),
i_0_97 ).
cnf(c_0_221,plain,
( the_carrier(esk17_0) = esk18_0
| in(esk16_2(esk18_0,the_carrier(esk17_0)),the_carrier(esk17_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_210]),c_0_211]) ).
cnf(c_0_222,plain,
( ~ proper_element(X1,powerset(X2))
| X1 != X2
| ~ element(X1,powerset(X2)) ),
i_0_104 ).
cnf(c_0_223,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_117 ).
cnf(c_0_224,plain,
subset(X1,X1),
i_0_142 ).
cnf(c_0_225,negated_conjecture,
( empty(the_carrier(esk17_0))
| in(bottom_of_relstr(esk17_0),the_carrier(esk17_0)) ),
inference(spm,[status(thm)],[c_0_212,c_0_192]) ).
cnf(c_0_226,negated_conjecture,
( in(X1,esk18_0)
| ~ related(esk17_0,X2,X1)
| ~ element(X1,the_carrier(esk17_0))
| ~ in(X2,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_188]),c_0_192]),c_0_214])]) ).
cnf(c_0_227,plain,
( the_carrier(esk17_0) = esk18_0
| related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(esk18_0,the_carrier(esk17_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_210]),c_0_216]),c_0_217]),c_0_192])]),c_0_193]) ).
cnf(c_0_228,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| in(bottom_of_relstr(esk17_0),esk18_0) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_229,plain,
( the_carrier(esk17_0) = esk18_0
| ~ in(esk16_2(esk18_0,the_carrier(esk17_0)),esk18_0) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_230,plain,
( ~ proper_element(X1,powerset(X1))
| ~ element(X1,powerset(X1)) ),
inference(er,[status(thm)],[c_0_222]) ).
cnf(c_0_231,plain,
element(X1,powerset(X1)),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_232,negated_conjecture,
in(bottom_of_relstr(esk17_0),the_carrier(esk17_0)),
inference(sr,[status(thm)],[c_0_225,c_0_211]) ).
cnf(c_0_233,negated_conjecture,
the_carrier(esk17_0) = esk18_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_210]),c_0_229]) ).
cnf(c_0_234,negated_conjecture,
( proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| ~ in(bottom_of_relstr(esk17_0),esk18_0) ),
i_0_111 ).
cnf(c_0_235,plain,
~ proper_element(X1,powerset(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_231])]) ).
cnf(c_0_236,negated_conjecture,
in(bottom_of_relstr(esk17_0),esk18_0),
inference(rw,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_237,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_233]),c_0_235]),c_0_236])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU383+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n028.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 03:02:00 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 124.53/85.42 % Version : CSE_E---1.7
% 124.53/85.42 % Problem : theBenchmark.p
% 124.53/85.42 % SZS status Theorem for theBenchmark.p
% 124.53/85.42 % SZS output start CNFRefutation
% See solution above
% 129.53/90.44 % Total time : 84.602s
%------------------------------------------------------------------------------