TSTP Solution File: SEU360+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n003.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 10:27:41 EDT 2022
% Result : Theorem 7.47s 7.64s
% Output : CNFRefutation 7.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 44
% Syntax : Number of formulae : 375 ( 85 unt; 0 def)
% Number of atoms : 1392 ( 15 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 1898 ( 881 ~; 909 |; 58 &)
% ( 8 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 14 usr; 2 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-3 aty)
% Number of variables : 627 ( 4 sgn 91 !; 20 ?)
% 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] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_element_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) ) ) ) ),
file('<stdin>',t16_yellow_0) ).
fof(c_0_1,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_sup_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ),
file('<stdin>',t15_yellow_0) ).
fof(c_0_2,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X2)
=> related(X1,X3,X4) ) ) ) ) ),
file('<stdin>',d8_lattice3) ).
fof(c_0_3,axiom,
! [X1] :
( rel_str(X1)
=> ( lower_bounded_relstr(X1)
<=> ? [X2] :
( element(X2,the_carrier(X1))
& relstr_element_smaller(X1,the_carrier(X1),X2) ) ) ),
file('<stdin>',d4_yellow_0) ).
fof(c_0_4,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_set_smaller(X1,empty_set,X2)
& relstr_element_smaller(X1,empty_set,X2) ) ) ),
file('<stdin>',t6_yellow_0) ).
fof(c_0_5,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('<stdin>',antisymmetry_r2_hidden) ).
fof(c_0_6,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('<stdin>',t2_subset) ).
fof(c_0_7,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('<stdin>',t1_subset) ).
fof(c_0_8,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_9,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('<stdin>',fc1_struct_0) ).
fof(c_0_10,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_11,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_12,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('<stdin>',dt_l1_orders_2) ).
fof(c_0_13,axiom,
! [X1] :
( empty(X1)
=> finite(X1) ),
file('<stdin>',cc1_finset_1) ).
fof(c_0_14,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('<stdin>',t6_boole) ).
fof(c_0_15,axiom,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_16,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_17,axiom,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
file('<stdin>',rc1_finset_1) ).
fof(c_0_18,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_19,axiom,
empty(empty_set),
file('<stdin>',fc1_xboole_0) ).
fof(c_0_20,axiom,
? [X1] : one_sorted_str(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_21,axiom,
? [X1] : rel_str(X1),
file('<stdin>',existence_l1_orders_2) ).
fof(c_0_22,axiom,
$true,
file('<stdin>',dt_u1_struct_0) ).
fof(c_0_23,axiom,
$true,
file('<stdin>',dt_m1_subset_1) ).
fof(c_0_24,axiom,
$true,
file('<stdin>',dt_l1_struct_0) ).
fof(c_0_25,axiom,
$true,
file('<stdin>',dt_k1_xboole_0) ).
fof(c_0_26,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_element_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) ) ) ) ),
c_0_0 ).
fof(c_0_27,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_sup_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ),
c_0_1 ).
fof(c_0_28,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X2)
=> related(X1,X3,X4) ) ) ) ) ),
c_0_2 ).
fof(c_0_29,axiom,
! [X1] :
( rel_str(X1)
=> ( lower_bounded_relstr(X1)
<=> ? [X2] :
( element(X2,the_carrier(X1))
& relstr_element_smaller(X1,the_carrier(X1),X2) ) ) ),
c_0_3 ).
fof(c_0_30,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_set_smaller(X1,empty_set,X2)
& relstr_element_smaller(X1,empty_set,X2) ) ) ),
c_0_4 ).
fof(c_0_31,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_32,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
c_0_6 ).
fof(c_0_33,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
c_0_7 ).
fof(c_0_34,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_8 ).
fof(c_0_35,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_36,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_10 ).
fof(c_0_37,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_11 ).
fof(c_0_38,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
c_0_12 ).
fof(c_0_39,axiom,
! [X1] :
( empty(X1)
=> finite(X1) ),
c_0_13 ).
fof(c_0_40,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
c_0_14 ).
fof(c_0_41,plain,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_42,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_43,plain,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_44,axiom,
? [X1] : empty(X1),
c_0_18 ).
fof(c_0_45,axiom,
empty(empty_set),
c_0_19 ).
fof(c_0_46,axiom,
? [X1] : one_sorted_str(X1),
c_0_20 ).
fof(c_0_47,axiom,
? [X1] : rel_str(X1),
c_0_21 ).
fof(c_0_48,axiom,
$true,
c_0_22 ).
fof(c_0_49,axiom,
$true,
c_0_23 ).
fof(c_0_50,axiom,
$true,
c_0_24 ).
fof(c_0_51,axiom,
$true,
c_0_25 ).
fof(c_0_52,plain,
! [X5,X6,X8,X9,X10] :
( ( element(esk12_2(X5,X6),the_carrier(X5))
| ~ ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_element_smaller(X5,X6,esk12_2(X5,X6))
| ~ ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ element(X8,the_carrier(X5))
| ~ relstr_element_smaller(X5,X6,X8)
| related(X5,X8,esk12_2(X5,X6))
| ~ ex_inf_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( element(esk13_3(X5,X9,X10),the_carrier(X5))
| ~ relstr_element_smaller(X5,X9,X10)
| ~ element(X10,the_carrier(X5))
| ex_inf_of_relstr_set(X5,X9)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_element_smaller(X5,X9,esk13_3(X5,X9,X10))
| ~ relstr_element_smaller(X5,X9,X10)
| ~ element(X10,the_carrier(X5))
| ex_inf_of_relstr_set(X5,X9)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ related(X5,esk13_3(X5,X9,X10),X10)
| ~ relstr_element_smaller(X5,X9,X10)
| ~ element(X10,the_carrier(X5))
| ex_inf_of_relstr_set(X5,X9)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(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_26])])])])])]) ).
fof(c_0_53,plain,
! [X5,X6,X8,X9,X10] :
( ( element(esk10_2(X5,X6),the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk10_2(X5,X6))
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,esk10_2(X5,X6),X8)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( element(esk11_3(X5,X9,X10),the_carrier(X5))
| ~ relstr_set_smaller(X5,X9,X10)
| ~ element(X10,the_carrier(X5))
| ex_sup_of_relstr_set(X5,X9)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X9,esk11_3(X5,X9,X10))
| ~ relstr_set_smaller(X5,X9,X10)
| ~ element(X10,the_carrier(X5))
| ex_sup_of_relstr_set(X5,X9)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ related(X5,X10,esk11_3(X5,X9,X10))
| ~ relstr_set_smaller(X5,X9,X10)
| ~ element(X10,the_carrier(X5))
| ex_sup_of_relstr_set(X5,X9)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(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_27])])])])])]) ).
fof(c_0_54,plain,
! [X5,X6,X7,X8] :
( ( ~ relstr_element_smaller(X5,X6,X7)
| ~ element(X8,the_carrier(X5))
| ~ in(X8,X6)
| related(X5,X7,X8)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( element(esk2_3(X5,X6,X7),the_carrier(X5))
| relstr_element_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( in(esk2_3(X5,X6,X7),X6)
| relstr_element_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( ~ related(X5,X7,esk2_3(X5,X6,X7))
| relstr_element_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) ) ),
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_28])])])])]) ).
fof(c_0_55,plain,
! [X3,X5] :
( ( element(esk1_1(X3),the_carrier(X3))
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) )
& ( relstr_element_smaller(X3,the_carrier(X3),esk1_1(X3))
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) )
& ( ~ element(X5,the_carrier(X3))
| ~ relstr_element_smaller(X3,the_carrier(X3),X5)
| lower_bounded_relstr(X3)
| ~ rel_str(X3) ) ),
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_29])])])])]) ).
fof(c_0_56,plain,
! [X3,X4] :
( ( relstr_set_smaller(X3,empty_set,X4)
| ~ element(X4,the_carrier(X3))
| ~ rel_str(X3) )
& ( relstr_element_smaller(X3,empty_set,X4)
| ~ element(X4,the_carrier(X3))
| ~ rel_str(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_57,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ in(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_58,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_59,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_60,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
fof(c_0_61,plain,
! [X2] :
( empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ empty(the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_62,plain,
! [X3] : element(esk5_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
fof(c_0_63,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_37])])])]) ).
fof(c_0_64,plain,
! [X2] :
( ~ rel_str(X2)
| one_sorted_str(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
fof(c_0_65,plain,
! [X2] :
( ~ empty(X2)
| finite(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
fof(c_0_66,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
fof(c_0_67,plain,
( one_sorted_str(esk9_0)
& ~ empty_carrier(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
fof(c_0_68,plain,
~ empty(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_69,plain,
( ~ empty(esk6_0)
& finite(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_43])]) ).
fof(c_0_70,plain,
empty(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_71,axiom,
empty(empty_set),
c_0_45 ).
fof(c_0_72,plain,
one_sorted_str(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_46])]) ).
fof(c_0_73,plain,
rel_str(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_47])]) ).
fof(c_0_74,axiom,
$true,
c_0_48 ).
fof(c_0_75,axiom,
$true,
c_0_49 ).
fof(c_0_76,axiom,
$true,
c_0_50 ).
fof(c_0_77,axiom,
$true,
c_0_51 ).
cnf(c_0_78,plain,
( ex_inf_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ related(X1,esk13_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_79,plain,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk11_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_80,plain,
( relstr_element_smaller(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,esk2_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_81,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk13_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_82,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk11_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_83,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk13_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_84,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk11_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_85,plain,
( related(X1,X3,esk12_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_86,plain,
( related(X1,esk10_2(X1,X2),X3)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_87,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_88,plain,
( relstr_element_smaller(X1,X3,X2)
| element(esk2_3(X1,X3,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_89,plain,
( relstr_element_smaller(X1,X3,X2)
| in(esk2_3(X1,X3,X2),X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_90,plain,
( lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,the_carrier(X1),X2)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_91,plain,
( relstr_element_smaller(X1,X2,esk12_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_92,plain,
( relstr_set_smaller(X1,X2,esk10_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_93,plain,
( relstr_set_smaller(X1,empty_set,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_94,plain,
( relstr_element_smaller(X1,empty_set,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_95,plain,
( element(esk12_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_96,plain,
( element(esk10_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_97,plain,
( relstr_element_smaller(X1,the_carrier(X1),esk1_1(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_98,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_99,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_100,plain,
( element(esk1_1(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_101,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_102,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_103,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_104,plain,
element(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_105,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_106,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_107,plain,
( finite(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_108,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_109,plain,
~ empty_carrier(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_110,plain,
~ empty(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_111,plain,
~ empty(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_112,plain,
one_sorted_str(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_113,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_114,plain,
finite(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_115,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_116,plain,
one_sorted_str(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_117,plain,
rel_str(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_118,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_119,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_120,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_121,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_122,plain,
( ex_inf_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ related(X1,esk13_3(X1,X2,X3),X3) ),
c_0_78,
[final] ).
cnf(c_0_123,plain,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk11_3(X1,X2,X3)) ),
c_0_79,
[final] ).
cnf(c_0_124,plain,
( relstr_element_smaller(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,esk2_3(X1,X3,X2)) ),
c_0_80,
[final] ).
cnf(c_0_125,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk13_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
c_0_81,
[final] ).
cnf(c_0_126,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk11_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
c_0_82,
[final] ).
cnf(c_0_127,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk13_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
c_0_83,
[final] ).
cnf(c_0_128,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk11_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
c_0_84,
[final] ).
cnf(c_0_129,plain,
( related(X1,X3,esk12_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
c_0_85,
[final] ).
cnf(c_0_130,plain,
( related(X1,esk10_2(X1,X2),X3)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
c_0_86,
[final] ).
cnf(c_0_131,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X4,X2) ),
c_0_87,
[final] ).
cnf(c_0_132,plain,
( relstr_element_smaller(X1,X3,X2)
| element(esk2_3(X1,X3,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
c_0_88,
[final] ).
cnf(c_0_133,plain,
( relstr_element_smaller(X1,X3,X2)
| in(esk2_3(X1,X3,X2),X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
c_0_89,
[final] ).
cnf(c_0_134,plain,
( lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,the_carrier(X1),X2)
| ~ element(X2,the_carrier(X1)) ),
c_0_90,
[final] ).
cnf(c_0_135,plain,
( relstr_element_smaller(X1,X2,esk12_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
c_0_91,
[final] ).
cnf(c_0_136,plain,
( relstr_set_smaller(X1,X2,esk10_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
c_0_92,
[final] ).
cnf(c_0_137,plain,
( relstr_set_smaller(X1,empty_set,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
c_0_93,
[final] ).
cnf(c_0_138,plain,
( relstr_element_smaller(X1,empty_set,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
c_0_94,
[final] ).
cnf(c_0_139,plain,
( element(esk12_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
c_0_95,
[final] ).
cnf(c_0_140,plain,
( element(esk10_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
c_0_96,
[final] ).
cnf(c_0_141,plain,
( relstr_element_smaller(X1,the_carrier(X1),esk1_1(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
c_0_97,
[final] ).
cnf(c_0_142,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
c_0_98,
[final] ).
cnf(c_0_143,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
c_0_99,
[final] ).
cnf(c_0_144,plain,
( element(esk1_1(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
c_0_100,
[final] ).
cnf(c_0_145,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
c_0_101,
[final] ).
cnf(c_0_146,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_102,
[final] ).
cnf(c_0_147,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
c_0_103,
[final] ).
cnf(c_0_148,plain,
element(esk5_1(X1),X1),
c_0_104,
[final] ).
cnf(c_0_149,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_105,
[final] ).
cnf(c_0_150,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
c_0_106,
[final] ).
cnf(c_0_151,plain,
( finite(X1)
| ~ empty(X1) ),
c_0_107,
[final] ).
cnf(c_0_152,plain,
( X1 = empty_set
| ~ empty(X1) ),
c_0_108,
[final] ).
cnf(c_0_153,plain,
~ empty_carrier(esk9_0),
c_0_109,
[final] ).
cnf(c_0_154,plain,
~ empty(esk8_0),
c_0_110,
[final] ).
cnf(c_0_155,plain,
~ empty(esk6_0),
c_0_111,
[final] ).
cnf(c_0_156,plain,
one_sorted_str(esk9_0),
c_0_112,
[final] ).
cnf(c_0_157,plain,
empty(esk7_0),
c_0_113,
[final] ).
cnf(c_0_158,plain,
finite(esk6_0),
c_0_114,
[final] ).
cnf(c_0_159,plain,
empty(empty_set),
c_0_115,
[final] ).
cnf(c_0_160,plain,
one_sorted_str(esk4_0),
c_0_116,
[final] ).
cnf(c_0_161,plain,
rel_str(esk3_0),
c_0_117,
[final] ).
cnf(c_0_162,plain,
$true,
c_0_118,
[final] ).
cnf(c_0_163,plain,
$true,
c_0_119,
[final] ).
cnf(c_0_164,plain,
$true,
c_0_120,
[final] ).
cnf(c_0_165,plain,
$true,
c_0_121,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_122_0,axiom,
( ex_inf_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ related(X1,sk1_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( ~ rel_str(X1)
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ related(X1,sk1_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ex_inf_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ related(X1,sk1_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_3,axiom,
( ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ related(X1,sk1_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_4,axiom,
( ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ex_inf_of_relstr_set(X1,X2)
| ~ related(X1,sk1_esk13_3(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_5,axiom,
( ~ related(X1,sk1_esk13_3(X1,X2,X3),X3)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,sk1_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,sk1_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,sk1_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_3,axiom,
( ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,sk1_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_4,axiom,
( ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| ~ related(X1,X3,sk1_esk11_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_5,axiom,
( ~ related(X1,X3,sk1_esk11_3(X1,X2,X3))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( relstr_element_smaller(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,sk1_esk2_3(X1,X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( ~ rel_str(X1)
| relstr_element_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,sk1_esk2_3(X1,X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| relstr_element_smaller(X1,X3,X2)
| ~ related(X1,X2,sk1_esk2_3(X1,X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_3,axiom,
( ~ related(X1,X2,sk1_esk2_3(X1,X3,X2))
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| relstr_element_smaller(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,sk1_esk13_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( relstr_element_smaller(X1,X2,sk1_esk13_3(X1,X2,X3))
| ex_inf_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ rel_str(X1)
| relstr_element_smaller(X1,X2,sk1_esk13_3(X1,X2,X3))
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_3,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_element_smaller(X1,X2,sk1_esk13_3(X1,X2,X3))
| ex_inf_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_4,axiom,
( ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_element_smaller(X1,X2,sk1_esk13_3(X1,X2,X3))
| ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_5,axiom,
( ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_element_smaller(X1,X2,sk1_esk13_3(X1,X2,X3))
| ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,sk1_esk11_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( relstr_set_smaller(X1,X2,sk1_esk11_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( ~ rel_str(X1)
| relstr_set_smaller(X1,X2,sk1_esk11_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_set_smaller(X1,X2,sk1_esk11_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_4,axiom,
( ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_set_smaller(X1,X2,sk1_esk11_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_5,axiom,
( ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_set_smaller(X1,X2,sk1_esk11_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( ex_inf_of_relstr_set(X1,X2)
| element(sk1_esk13_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( element(sk1_esk13_3(X1,X2,X3),the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ rel_str(X1)
| element(sk1_esk13_3(X1,X2,X3),the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk13_3(X1,X2,X3),the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_4,axiom,
( ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk13_3(X1,X2,X3),the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_5,axiom,
( ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk13_3(X1,X2,X3),the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( ex_sup_of_relstr_set(X1,X2)
| element(sk1_esk11_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_1,axiom,
( element(sk1_esk11_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( ~ rel_str(X1)
| element(sk1_esk11_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_3,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk11_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_4,axiom,
( ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk11_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_5,axiom,
( ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk11_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( related(X1,X3,sk1_esk12_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( ~ rel_str(X1)
| related(X1,X3,sk1_esk12_2(X1,X2))
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| related(X1,X3,sk1_esk12_2(X1,X2))
| ~ ex_inf_of_relstr_set(X1,X2)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_3,axiom,
( ~ ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| related(X1,X3,sk1_esk12_2(X1,X2))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_4,axiom,
( ~ relstr_element_smaller(X1,X2,X3)
| ~ ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| related(X1,X3,sk1_esk12_2(X1,X2))
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_5,axiom,
( ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| related(X1,X3,sk1_esk12_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( related(X1,sk1_esk10_2(X1,X2),X3)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_1,axiom,
( ~ rel_str(X1)
| related(X1,sk1_esk10_2(X1,X2),X3)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| related(X1,sk1_esk10_2(X1,X2),X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ ex_sup_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| related(X1,sk1_esk10_2(X1,X2),X3)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_4,axiom,
( ~ relstr_set_smaller(X1,X2,X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| related(X1,sk1_esk10_2(X1,X2),X3)
| ~ element(X3,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_5,axiom,
( ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| related(X1,sk1_esk10_2(X1,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_1,axiom,
( ~ rel_str(X1)
| related(X1,X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| related(X1,X2,X3)
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_3,axiom,
( ~ in(X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| related(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_4,axiom,
( ~ element(X3,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| related(X1,X2,X3)
| ~ relstr_element_smaller(X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_5,axiom,
( ~ relstr_element_smaller(X1,X4,X2)
| ~ element(X3,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| related(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_0,axiom,
( relstr_element_smaller(X1,X3,X2)
| element(sk1_esk2_3(X1,X3,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_1,axiom,
( element(sk1_esk2_3(X1,X3,X2),the_carrier(X1))
| relstr_element_smaller(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_2,axiom,
( ~ rel_str(X1)
| element(sk1_esk2_3(X1,X3,X2),the_carrier(X1))
| relstr_element_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_3,axiom,
( ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| element(sk1_esk2_3(X1,X3,X2),the_carrier(X1))
| relstr_element_smaller(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
( relstr_element_smaller(X1,X3,X2)
| in(sk1_esk2_3(X1,X3,X2),X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_1,axiom,
( in(sk1_esk2_3(X1,X3,X2),X3)
| relstr_element_smaller(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_2,axiom,
( ~ rel_str(X1)
| in(sk1_esk2_3(X1,X3,X2),X3)
| relstr_element_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_3,axiom,
( ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| in(sk1_esk2_3(X1,X3,X2),X3)
| relstr_element_smaller(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
( lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,the_carrier(X1),X2)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_1,axiom,
( ~ rel_str(X1)
| lower_bounded_relstr(X1)
| ~ relstr_element_smaller(X1,the_carrier(X1),X2)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_2,axiom,
( ~ relstr_element_smaller(X1,the_carrier(X1),X2)
| ~ rel_str(X1)
| lower_bounded_relstr(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_3,axiom,
( ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(X1,the_carrier(X1),X2)
| ~ rel_str(X1)
| lower_bounded_relstr(X1) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
( relstr_element_smaller(X1,X2,sk1_esk12_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_1,axiom,
( ~ rel_str(X1)
| relstr_element_smaller(X1,X2,sk1_esk12_2(X1,X2))
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_2,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_element_smaller(X1,X2,sk1_esk12_2(X1,X2))
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_3,axiom,
( ~ ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_element_smaller(X1,X2,sk1_esk12_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
( relstr_set_smaller(X1,X2,sk1_esk10_2(X1,X2))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_1,axiom,
( ~ rel_str(X1)
| relstr_set_smaller(X1,X2,sk1_esk10_2(X1,X2))
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_2,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_set_smaller(X1,X2,sk1_esk10_2(X1,X2))
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_3,axiom,
( ~ ex_sup_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| relstr_set_smaller(X1,X2,sk1_esk10_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
( relstr_set_smaller(X1,empty_set,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_1,axiom,
( ~ rel_str(X1)
| relstr_set_smaller(X1,empty_set,X2)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_2,axiom,
( ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| relstr_set_smaller(X1,empty_set,X2) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
( relstr_element_smaller(X1,empty_set,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_1,axiom,
( ~ rel_str(X1)
| relstr_element_smaller(X1,empty_set,X2)
| ~ element(X2,the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_2,axiom,
( ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| relstr_element_smaller(X1,empty_set,X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_0,axiom,
( element(sk1_esk12_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_1,axiom,
( ~ rel_str(X1)
| element(sk1_esk12_2(X1,X2),the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk12_2(X1,X2),the_carrier(X1))
| ~ ex_inf_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_3,axiom,
( ~ ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk12_2(X1,X2),the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
( element(sk1_esk10_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_1,axiom,
( ~ rel_str(X1)
| element(sk1_esk10_2(X1,X2),the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_2,axiom,
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk10_2(X1,X2),the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_3,axiom,
( ~ ex_sup_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk10_2(X1,X2),the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( relstr_element_smaller(X1,the_carrier(X1),sk1_esk1_1(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_1,axiom,
( ~ rel_str(X1)
| relstr_element_smaller(X1,the_carrier(X1),sk1_esk1_1(X1))
| ~ lower_bounded_relstr(X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| relstr_element_smaller(X1,the_carrier(X1),sk1_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_1,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_1,axiom,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
( element(sk1_esk1_1(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_1,axiom,
( ~ rel_str(X1)
| element(sk1_esk1_1(X1),the_carrier(X1))
| ~ lower_bounded_relstr(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| element(sk1_esk1_1(X1),the_carrier(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_1,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_1,axiom,
( ~ empty(the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_2,axiom,
( ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1))
| empty_carrier(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_149_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_1,axiom,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,axiom,
( finite(X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_1,axiom,
( ~ empty(X1)
| finite(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_0,axiom,
( X1 = empty_set
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_1,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_0,axiom,
~ empty_carrier(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
~ empty(sk1_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_0,axiom,
~ empty(sk1_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_148_0,axiom,
element(sk1_esk5_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_156_0,axiom,
one_sorted_str(sk1_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_157_0,axiom,
empty(sk1_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_0,axiom,
finite(sk1_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_0,axiom,
empty(empty_set),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
one_sorted_str(sk1_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
rel_str(sk1_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_165]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ( ex_sup_of_relstr_set(X1,empty_set)
& ex_inf_of_relstr_set(X1,the_carrier(X1)) ) ),
file('<stdin>',t42_yellow_0) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ( ex_sup_of_relstr_set(X1,empty_set)
& ex_inf_of_relstr_set(X1,the_carrier(X1)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_003,negated_conjecture,
( ~ empty_carrier(esk1_0)
& antisymmetric_relstr(esk1_0)
& lower_bounded_relstr(esk1_0)
& rel_str(esk1_0)
& ( ~ ex_sup_of_relstr_set(esk1_0,empty_set)
| ~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_004,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,empty_set) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
lower_bounded_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_008,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_009,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,empty_set) ),
c_0_3,
[final] ).
cnf(c_0_9_010,negated_conjecture,
~ empty_carrier(esk1_0),
c_0_4,
[final] ).
cnf(c_0_10_011,negated_conjecture,
antisymmetric_relstr(esk1_0),
c_0_5,
[final] ).
cnf(c_0_11_012,negated_conjecture,
lower_bounded_relstr(esk1_0),
c_0_6,
[final] ).
cnf(c_0_12_013,negated_conjecture,
rel_str(esk1_0),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_77,plain,
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X3,the_carrier(X0))
| related(X0,X2,X3)
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ in(X3,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_131_3) ).
cnf(c_278,plain,
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X3,the_carrier(X0))
| related(X0,X2,X3)
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ in(X3,X1) ),
inference(copy,[status(esa)],[c_77]) ).
cnf(c_21142,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(X0,the_carrier(sk2_esk1_0))
| ~ element(X1,the_carrier(sk2_esk1_0))
| ~ in(X0,X2)
| ~ relstr_element_smaller(sk2_esk1_0,X2,X1)
| related(sk2_esk1_0,X1,X0) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_21436,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ element(X1,the_carrier(sk2_esk1_0))
| ~ in(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),X2)
| ~ relstr_element_smaller(sk2_esk1_0,X2,X1)
| related(sk2_esk1_0,X1,sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_21142]) ).
cnf(c_41087,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ element(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ in(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),X1)
| ~ relstr_element_smaller(sk2_esk1_0,X1,sk1_esk1_1(sk2_esk1_0))
| related(sk2_esk1_0,sk1_esk1_1(sk2_esk1_0),sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_21436]) ).
cnf(c_63998,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ element(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ in(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0))
| related(sk2_esk1_0,sk1_esk1_1(sk2_esk1_0),sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_41087]) ).
cnf(c_63999,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ element(sk1_esk11_3(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ in(sk1_esk11_3(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0))
| related(sk2_esk1_0,sk1_esk1_1(sk2_esk1_0),sk1_esk11_3(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_63998]) ).
cnf(c_21344,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ element(X0,the_carrier(sk2_esk1_0))
| ~ in(sk1_esk1_1(sk2_esk1_0),X1)
| ~ relstr_element_smaller(sk2_esk1_0,X1,X0)
| related(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21142]) ).
cnf(c_21632,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ element(sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ in(sk1_esk1_1(sk2_esk1_0),X0)
| ~ relstr_element_smaller(sk2_esk1_0,X0,sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)))
| related(sk2_esk1_0,sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)),sk1_esk1_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21344]) ).
cnf(c_41316,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ element(sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ in(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)))
| related(sk2_esk1_0,sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)),sk1_esk1_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21632]) ).
cnf(c_35,plain,
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_143_0) ).
cnf(c_236,plain,
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(copy,[status(esa)],[c_35]) ).
cnf(c_21350,plain,
( empty(the_carrier(sk2_esk1_0))
| ~ element(X0,the_carrier(sk2_esk1_0))
| in(X0,the_carrier(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_236]) ).
cnf(c_41273,plain,
( empty(the_carrier(sk2_esk1_0))
| ~ element(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| in(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21350]) ).
cnf(c_41291,plain,
( empty(the_carrier(sk2_esk1_0))
| ~ element(sk1_esk11_3(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| in(sk1_esk11_3(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_41273]) ).
cnf(c_41138,plain,
( empty(the_carrier(sk2_esk1_0))
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| in(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21350]) ).
cnf(c_127,plain,
( ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ related(X0,sk1_esk13_3(X0,X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_122_5) ).
cnf(c_328,plain,
( ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ related(X0,sk1_esk13_3(X0,X1,X2),X2) ),
inference(copy,[status(esa)],[c_127]) ).
cnf(c_21234,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(X0,the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,X1,X0)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,X1)
| ~ related(sk2_esk1_0,sk1_esk13_3(sk2_esk1_0,X1,X0),X0) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_21304,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(X0,the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),X0)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,the_carrier(sk2_esk1_0))
| ~ related(sk2_esk1_0,sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),X0),X0) ),
inference(instantiation,[status(thm)],[c_21234]) ).
cnf(c_21545,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0))
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,the_carrier(sk2_esk1_0))
| ~ related(sk2_esk1_0,sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)),sk1_esk1_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21304]) ).
cnf(c_121,plain,
( ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ related(X0,X2,sk1_esk11_3(X0,X1,X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_123_5) ).
cnf(c_322,plain,
( ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ related(X0,X2,sk1_esk11_3(X0,X1,X2)) ),
inference(copy,[status(esa)],[c_121]) ).
cnf(c_21222,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(X0,the_carrier(sk2_esk1_0))
| ex_sup_of_relstr_set(sk2_esk1_0,X1)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ~ relstr_set_smaller(sk2_esk1_0,X1,X0)
| ~ related(sk2_esk1_0,X0,sk1_esk11_3(sk2_esk1_0,X1,X0)) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_21394,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ex_sup_of_relstr_set(sk2_esk1_0,X0)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ~ relstr_set_smaller(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0))
| ~ related(sk2_esk1_0,sk1_esk1_1(sk2_esk1_0),sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_21222]) ).
cnf(c_21395,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ex_sup_of_relstr_set(sk2_esk1_0,empty_set)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ~ relstr_set_smaller(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0))
| ~ related(sk2_esk1_0,sk1_esk1_1(sk2_esk1_0),sk1_esk11_3(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_21394]) ).
cnf(c_111,plain,
( ex_inf_of_relstr_set(X0,X1)
| relstr_element_smaller(X0,X1,sk1_esk13_3(X0,X1,X2))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_125_5) ).
cnf(c_312,plain,
( ex_inf_of_relstr_set(X0,X1)
| relstr_element_smaller(X0,X1,sk1_esk13_3(X0,X1,X2))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ),
inference(copy,[status(esa)],[c_111]) ).
cnf(c_21211,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(X0,the_carrier(sk2_esk1_0))
| relstr_element_smaller(sk2_esk1_0,X1,sk1_esk13_3(sk2_esk1_0,X1,X0))
| ~ relstr_element_smaller(sk2_esk1_0,X1,X0)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,X1) ),
inference(instantiation,[status(thm)],[c_312]) ).
cnf(c_21281,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0))
| relstr_element_smaller(sk2_esk1_0,X0,sk1_esk13_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)))
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_21211]) ).
cnf(c_21370,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0))
| relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)))
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,the_carrier(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21281]) ).
cnf(c_99,plain,
( ex_inf_of_relstr_set(X0,X1)
| element(sk1_esk13_3(X0,X1,X2),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_127_5) ).
cnf(c_300,plain,
( ex_inf_of_relstr_set(X0,X1)
| element(sk1_esk13_3(X0,X1,X2),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ),
inference(copy,[status(esa)],[c_99]) ).
cnf(c_21189,plain,
( ~ rel_str(sk2_esk1_0)
| element(sk1_esk13_3(sk2_esk1_0,X0,X1),the_carrier(sk2_esk1_0))
| ~ element(X1,the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,X0,X1)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_300]) ).
cnf(c_21273,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| element(sk1_esk13_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0))
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,X0) ),
inference(instantiation,[status(thm)],[c_21189]) ).
cnf(c_21368,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| element(sk1_esk13_3(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ~ relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0))
| ~ antisymmetric_relstr(sk2_esk1_0)
| ex_inf_of_relstr_set(sk2_esk1_0,the_carrier(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21273]) ).
cnf(c_93,plain,
( ex_sup_of_relstr_set(X0,X1)
| element(sk1_esk11_3(X0,X1,X2),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_128_5) ).
cnf(c_294,plain,
( ex_sup_of_relstr_set(X0,X1)
| element(sk1_esk11_3(X0,X1,X2),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ),
inference(copy,[status(esa)],[c_93]) ).
cnf(c_21178,plain,
( ~ rel_str(sk2_esk1_0)
| element(sk1_esk11_3(sk2_esk1_0,X0,X1),the_carrier(sk2_esk1_0))
| ~ element(X1,the_carrier(sk2_esk1_0))
| ex_sup_of_relstr_set(sk2_esk1_0,X0)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ~ relstr_set_smaller(sk2_esk1_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_294]) ).
cnf(c_21269,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| element(sk1_esk11_3(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ex_sup_of_relstr_set(sk2_esk1_0,X0)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ~ relstr_set_smaller(sk2_esk1_0,X0,sk1_esk1_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21178]) ).
cnf(c_21270,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| element(sk1_esk11_3(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0)),the_carrier(sk2_esk1_0))
| ex_sup_of_relstr_set(sk2_esk1_0,empty_set)
| ~ antisymmetric_relstr(sk2_esk1_0)
| ~ relstr_set_smaller(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21269]) ).
cnf(c_52,plain,
( relstr_set_smaller(X0,empty_set,X1)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_137_2) ).
cnf(c_253,plain,
( relstr_set_smaller(X0,empty_set,X1)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(copy,[status(esa)],[c_52]) ).
cnf(c_21063,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(X0,the_carrier(sk2_esk1_0))
| relstr_set_smaller(sk2_esk1_0,empty_set,X0) ),
inference(instantiation,[status(thm)],[c_253]) ).
cnf(c_21259,plain,
( ~ rel_str(sk2_esk1_0)
| ~ element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| relstr_set_smaller(sk2_esk1_0,empty_set,sk1_esk1_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_21063]) ).
cnf(c_25,plain,
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_147_0) ).
cnf(c_226,plain,
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
inference(copy,[status(esa)],[c_25]) ).
cnf(c_21252,plain,
( ~ one_sorted_str(sk2_esk1_0)
| ~ empty(the_carrier(sk2_esk1_0))
| empty_carrier(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_226]) ).
cnf(c_38,plain,
( relstr_element_smaller(X0,the_carrier(X0),sk1_esk1_1(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_141_2) ).
cnf(c_239,plain,
( relstr_element_smaller(X0,the_carrier(X0),sk1_esk1_1(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
inference(copy,[status(esa)],[c_38]) ).
cnf(c_21050,plain,
( ~ rel_str(sk2_esk1_0)
| ~ lower_bounded_relstr(sk2_esk1_0)
| relstr_element_smaller(sk2_esk1_0,the_carrier(sk2_esk1_0),sk1_esk1_1(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_30,plain,
( element(sk1_esk1_1(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_144_2) ).
cnf(c_231,plain,
( element(sk1_esk1_1(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
inference(copy,[status(esa)],[c_30]) ).
cnf(c_21046,plain,
( ~ rel_str(sk2_esk1_0)
| element(sk1_esk1_1(sk2_esk1_0),the_carrier(sk2_esk1_0))
| ~ lower_bounded_relstr(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_231]) ).
cnf(c_18,plain,
( one_sorted_str(X0)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_150_1) ).
cnf(c_219,plain,
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_18]) ).
cnf(c_21042,plain,
( ~ rel_str(sk2_esk1_0)
| one_sorted_str(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_219]) ).
cnf(c_133,negated_conjecture,
( ~ ex_sup_of_relstr_set(sk2_esk1_0,empty_set)
| ~ ex_inf_of_relstr_set(sk2_esk1_0,the_carrier(sk2_esk1_0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_8) ).
cnf(c_134,negated_conjecture,
~ empty_carrier(sk2_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_9) ).
cnf(c_135,negated_conjecture,
antisymmetric_relstr(sk2_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_10) ).
cnf(c_136,negated_conjecture,
lower_bounded_relstr(sk2_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_11) ).
cnf(c_137,negated_conjecture,
rel_str(sk2_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p',c_0_12) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_63999,c_41316,c_41291,c_41138,c_21545,c_21395,c_21370,c_21368,c_21270,c_21259,c_21252,c_21050,c_21046,c_21042,c_133,c_134,c_135,c_136,c_137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 13:12:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.20/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41 % FOF problem with conjecture
% 0.20/0.41 % 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/sandbox2/tmp/iprover_proof_9dd977.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_efecd1 | grep -v "SZS"
% 0.20/0.43
% 0.20/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ iProver source info
% 0.20/0.43
% 0.20/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43 % git: non_committed_changes: true
% 0.20/0.43 % git: last_make_outside_of_git: true
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.45 % --bmc1_dump_file -
% 0.20/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.45 % --bmc1_ucm_extend_mode 1
% 0.20/0.45 % --bmc1_ucm_init_mode 2
% 0.20/0.45 % --bmc1_ucm_cone_mode none
% 0.20/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.45 % --bmc1_ucm_relax_model 4
% 0.20/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.45 % --bmc1_ucm_layered_model none
% 0.20/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.45
% 0.20/0.45 % ------ AIG Options
% 0.20/0.45
% 0.20/0.45 % --aig_mode false
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation Options
% 0.20/0.45
% 0.20/0.45 % --instantiation_flag true
% 0.20/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45 % --inst_solver_per_active 750
% 0.20/0.45 % --inst_solver_calls_frac 0.5
% 0.20/0.45 % --inst_passive_queue_type priority_queues
% 0.20/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45 % --inst_passive_queues_freq [25;2]
% 0.20/0.45 % --inst_dismatching true
% 0.20/0.45 % --inst_eager_unprocessed_to_passive true
% 0.20/0.45 % --inst_prop_sim_given true
% 0.20/0.45 % --inst_prop_sim_new false
% 0.20/0.45 % --inst_orphan_elimination true
% 0.20/0.45 % --inst_learning_loop_flag true
% 0.20/0.45 % --inst_learning_start 3000
% 0.20/0.45 % --inst_learning_factor 2
% 0.20/0.45 % --inst_start_prop_sim_after_learn 3
% 0.20/0.45 % --inst_sel_renew solver
% 0.20/0.45 % --inst_lit_activity_flag true
% 0.20/0.45 % --inst_out_proof true
% 0.20/0.45
% 0.20/0.45 % ------ Resolution Options
% 0.20/0.45
% 0.20/0.45 % --resolution_flag true
% 0.20/0.45 % --res_lit_sel kbo_max
% 0.20/0.45 % --res_to_prop_solver none
% 0.20/0.45 % --res_prop_simpl_new false
% 0.20/0.45 % --res_prop_simpl_given false
% 0.20/0.45 % --res_passive_queue_type priority_queues
% 0.20/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45 % --res_passive_queues_freq [15;5]
% 0.20/0.45 % --res_forward_subs full
% 0.20/0.45 % --res_backward_subs full
% 0.20/0.45 % --res_forward_subs_resolution true
% 0.20/0.45 % --res_backward_subs_resolution true
% 0.20/0.45 % --res_orphan_elimination false
% 0.20/0.45 % --res_time_limit 1000.
% 0.20/0.45 % --res_out_proof true
% 0.20/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9dd977.s
% 0.20/0.45 % --modulo true
% 0.20/0.45
% 0.20/0.45 % ------ Combination Options
% 0.20/0.45
% 0.20/0.45 % --comb_res_mult 1000
% 0.20/0.45 % --comb_inst_mult 300
% 0.20/0.45 % ------
% 0.20/0.45
% 0.20/0.45 % ------ Parsing...% successful
% 0.20/0.45
% 0.20/0.45 % ------ 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 %
% 0.20/0.45
% 0.20/0.45 % ------ Proving...
% 0.20/0.45 % ------ Problem Properties
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % EPR false
% 0.20/0.45 % Horn false
% 0.20/0.45 % Has equality true
% 0.20/0.45
% 0.20/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % % ------ Current options:
% 0.20/0.45
% 0.20/0.45 % ------ Input Options
% 0.20/0.45
% 0.20/0.45 % --out_options all
% 0.20/0.45 % --tptp_safe_out true
% 0.20/0.45 % --problem_path ""
% 0.20/0.45 % --include_path ""
% 0.20/0.45 % --clausifier .//eprover
% 0.20/0.45 % --clausifier_options --tstp-format
% 0.20/0.45 % --stdin false
% 0.20/0.45 % --dbg_backtrace false
% 0.20/0.45 % --dbg_dump_prop_clauses false
% 0.20/0.45 % --dbg_dump_prop_clauses_file -
% 0.20/0.45 % --dbg_out_stat false
% 0.20/0.45
% 0.20/0.45 % ------ General Options
% 0.20/0.45
% 0.20/0.45 % --fof false
% 0.20/0.45 % --time_out_real 150.
% 0.20/0.45 % --time_out_prep_mult 0.2
% 0.20/0.45 % --time_out_virtual -1.
% 0.20/0.45 % --schedule none
% 0.20/0.45 % --ground_splitting input
% 0.20/0.45 % --splitting_nvd 16
% 0.20/0.45 % --non_eq_to_eq false
% 0.20/0.45 % --prep_gs_sim true
% 0.20/0.45 % --prep_unflatten false
% 0.20/0.45 % --prep_res_sim true
% 0.20/0.45 % --prep_upred true
% 0.20/0.45 % --res_sim_input true
% 0.20/0.45 % --clause_weak_htbl true
% 0.20/0.45 % --gc_record_bc_elim false
% 0.20/0.45 % --symbol_type_check false
% 0.20/0.45 % --clausify_out false
% 0.20/0.45 % --large_theory_mode false
% 0.20/0.45 % --prep_sem_filter none
% 0.20/0.45 % --prep_sem_filter_out false
% 0.20/0.45 % --preprocessed_out false
% 0.20/0.45 % --sub_typing false
% 0.20/0.45 % --brand_transform false
% 0.20/0.45 % --pure_diseq_elim true
% 0.20/0.45 % --min_unsat_core false
% 0.20/0.45 % --pred_elim true
% 0.20/0.45 % --add_important_lit false
% 0.20/0.45 % --soft_assumptions false
% 0.20/0.45 % --reset_solvers false
% 0.20/0.45 % --bc_imp_inh []
% 0.20/0.45 % --conj_cone_tolerance 1.5
% 0.20/0.45 % --prolific_symb_bound 500
% 0.20/0.45 % --lt_threshold 2000
% 0.20/0.45
% 0.20/0.45 % ------ SAT Options
% 0.20/0.45
% 0.20/0.45 % --sat_mode false
% 0.20/0.45 % --sat_fm_restart_options ""
% 0.20/0.45 % --sat_gr_def false
% 0.20/0.45 % --sat_epr_types true
% 0.20/0.45 % --sat_non_cyclic_types false
% 0.20/0.45 % --sat_finite_models false
% 0.20/0.45 % --sat_fm_lemmas false
% 0.20/0.45 % --sat_fm_prep false
% 0.20/0.45 % --sat_fm_uc_incr true
% 0.20/0.45 % --sat_out_model small
% 0.20/0.45 % --sat_out_clauses false
% 0.20/0.45
% 0.20/0.45 % ------ QBF Options
% 0.20/0.45
% 0.20/0.45 % --qbf_mode false
% 0.20/0.45 % --qbf_elim_univ true
% 0.20/0.45 % --qbf_sk_in true
% 0.20/0.45 % --qbf_pred_elim true
% 0.20/0.45 % --qbf_split 32
% 0.20/0.45
% 0.20/0.45 % ------ BMC1 Options
% 0.20/0.45
% 0.20/0.45 % --bmc1_incremental false
% 0.20/0.45 % --bmc1_axioms reachable_all
% 0.20/0.45 % --bmc1_min_bound 0
% 0.20/0.45 % --bmc1_max_bound -1
% 0.20/0.45 % --bmc1_max_bound_default -1
% 0.20/0.45 % --bmc1_symbol_reachability true
% 0.20/0.45 % --bmc1_property_lemmas false
% 0.20/0.45 % --bmc1_k_induction false
% 0.20/0.45 % --bmc1_non_equiv_states false
% 0.20/0.45 % --bmc1_deadlock false
% 0.20/0.45 % --bmc1_ucm false
% 0.20/0.45 % --bmc1_add_unsat_core none
% 0.20/0.45 % --bmc1_unsat_core_children false
% 0.20/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.45 % --bmc1_out_stat full
% 0.20/0.45 % --bmc1_ground_init false
% 0.20/0.45 % --bmc1_pre_inst_next_state false
% 0.20/0.45 % --bmc1_pre_inst_state false
% 0.20/0.45 % --bmc1_pre_inst_reach_state false
% 0.20/0.45 % --bmc1_out_unsat_core false
% 0.20/0.45 % --bmc1_aig_witness_out false
% 0.20/0.45 % --bmc1_verbose false
% 0.20/0.45 % --bmc1_dump_clauses_tptp false
% 0.20/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.45 % --bmc1_dump_file -
% 0.20/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.45 % --bmc1_ucm_extend_mode 1
% 0.20/0.45 % --bmc1_ucm_init_mode 2
% 0.20/0.45 % --bmc1_ucm_cone_mode none
% 0.20/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.45 % --bmc1_ucm_relax_model 4
% 0.20/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.45 % --bmc1_ucm_layered_model none
% 0.20/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.45
% 0.20/0.45 % ------ AIG Options
% 0.20/0.45
% 0.20/0.45 % --aig_mode false
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation Options
% 0.20/0.45
% 0.20/0.45 % --instantiation_flag true
% 0.20/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45 % --inst_solver_per_active 750
% 0.20/0.45 % --inst_solver_calls_frac 0.5
% 0.20/0.45 % --inst_passive_queue_type priority_queues
% 0.20/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45 % --inst_passive_queues_freq [25;2]
% 0.20/0.45 % --inst_dismatching true
% 0.20/0.45 % --inst_eager_unprocessed_to_passive true
% 0.20/0.45 % --inst_prop_sim_given true
% 0.20/0.45 % --inst_prop_sim_new false
% 0.20/0.45 % --inst_orphan_elimination true
% 0.20/0.45 % --inst_learning_loop_flag true
% 0.20/0.45 % --inst_learning_start 3000
% 0.20/0.45 % --inst_learning_factor 2
% 0.20/0.45 % --inst_start_prop_sim_after_learn 3
% 0.20/0.45 % --inst_sel_renew solver
% 0.20/0.45 % --inst_lit_activity_flag true
% 0.20/0.45 % --inst_out_proof true
% 0.20/0.45
% 0.20/0.45 % ------ Resolution Options
% 0.20/0.45
% 0.20/0.45 % --resolution_flag true
% 0.20/0.45 % --res_lit_sel kbo_max
% 0.20/0.45 % --res_to_prop_solver none
% 0.20/0.45 % --res_prop_simpl_new false
% 0.20/0.45 % --res_prop_simpl_given false
% 0.20/0.45 % --res_passive_queue_type priority_queues
% 0.20/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45 % --res_passive_queues_freq [15;5]
% 0.20/0.45 % --res_forward_subs full
% 0.20/0.45 % --res_backward_subs full
% 0.20/0.45 % --res_forward_subs_resolution true
% 0.20/0.45 % --res_backward_subs_resolution true
% 0.20/0.45 % --res_orphan_elimination false
% 0.20/0.45 % --res_time_limit 1000.
% 0.20/0.45 % --res_out_proof true
% 0.20/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9dd977.s
% 0.20/0.45 % --modulo true
% 0.20/0.45
% 0.20/0.45 % ------ Combination Options
% 0.20/0.45
% 0.20/0.45 % --comb_res_mult 1000
% 0.20/0.45 % --comb_inst_mult 300
% 0.20/0.45 % ------
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % ------ Proving...
% 0.20/0.45 % warning: shown sat in sat incomplete mode
% 0.20/0.45 %
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 cnf(c_99,negated_conjecture,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ ex_inf_of_relstr_set(sk3_esk1_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_8) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_132,negated_conjecture,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ ex_inf_of_relstr_set(sk3_esk1_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_99]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_152,negated_conjecture,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ ex_inf_of_relstr_set(sk3_esk1_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_132]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_161,negated_conjecture,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ ex_inf_of_relstr_set(sk3_esk1_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_152]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_162,negated_conjecture,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ ex_inf_of_relstr_set(sk3_esk1_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_161]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_469,negated_conjecture,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ ex_inf_of_relstr_set(sk3_esk1_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_162]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_6,plain,
% 0.20/0.45 ( ~ related(X0,sk2_esk2_3(X0,X1,X2),X2)
% 0.20/0.45 | ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.45 | ~ element(X2,the_carrier(X0))
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | ~ rel_str(X0)
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_57_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_283,plain,
% 0.20/0.45 ( ~ related(X0,sk2_esk2_3(X0,X1,X2),X2)
% 0.20/0.45 | ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.45 | ~ element(X2,the_carrier(X0))
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | ~ rel_str(X0)
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_284,plain,
% 0.20/0.45 ( ~ rel_str(X0)
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | ~ element(X1,the_carrier(X0))
% 0.20/0.45 | ~ related(X0,sk2_esk2_3(X0,X2,X1),X1)
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X2)
% 0.20/0.45 | ~ relstr_element_smaller(X0,X2,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_283]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_513,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ rel_str(sk3_esk1_0)
% 0.20/0.45 | ~ antisymmetric_relstr(sk3_esk1_0)
% 0.20/0.45 | ~ element(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ related(sk3_esk1_0,sk2_esk2_3(sk3_esk1_0,X0,the_carrier(sk3_esk1_0)),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ex_inf_of_relstr_set(sk3_esk1_0,X0)
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,X0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(resolution,[status(thm)],[c_469,c_284]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_514,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ rel_str(sk3_esk1_0)
% 0.20/0.45 | ~ antisymmetric_relstr(sk3_esk1_0)
% 0.20/0.45 | ~ element(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ related(sk3_esk1_0,sk2_esk2_3(sk3_esk1_0,X0,the_carrier(sk3_esk1_0)),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ex_inf_of_relstr_set(sk3_esk1_0,X0)
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,X0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_513]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_101,negated_conjecture,
% 0.20/0.45 ( antisymmetric_relstr(sk3_esk1_0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_10) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_136,negated_conjecture,
% 0.20/0.45 ( antisymmetric_relstr(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_101]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_154,negated_conjecture,
% 0.20/0.45 ( antisymmetric_relstr(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_136]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_159,negated_conjecture,
% 0.20/0.45 ( antisymmetric_relstr(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_154]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_164,negated_conjecture,
% 0.20/0.45 ( antisymmetric_relstr(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_159]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_473,negated_conjecture,
% 0.20/0.45 ( antisymmetric_relstr(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_164]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_103,negated_conjecture,
% 0.20/0.45 ( rel_str(sk3_esk1_0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_12) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_140,negated_conjecture,
% 0.20/0.45 ( rel_str(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_103]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_156,negated_conjecture,
% 0.20/0.45 ( rel_str(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_140]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_157,negated_conjecture,
% 0.20/0.45 ( rel_str(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_156]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_166,negated_conjecture,
% 0.20/0.45 ( rel_str(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_157]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_477,negated_conjecture,
% 0.20/0.45 ( rel_str(sk3_esk1_0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_166]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_584,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ element(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ related(sk3_esk1_0,sk2_esk2_3(sk3_esk1_0,X0,the_carrier(sk3_esk1_0)),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ex_inf_of_relstr_set(sk3_esk1_0,X0)
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,X0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(forward_subsumption_resolution,
% 0.20/0.45 [status(thm)],
% 0.20/0.45 [c_514,c_473,c_477]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_585,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ element(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ related(sk3_esk1_0,sk2_esk2_3(sk3_esk1_0,X0,the_carrier(sk3_esk1_0)),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ex_inf_of_relstr_set(sk3_esk1_0,X0)
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,X0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_584]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_18,plain,
% 0.20/0.45 ( ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.45 | ~ element(X2,the_carrier(X0))
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | ~ rel_str(X0)
% 0.20/0.45 | relstr_element_smaller(X0,X1,sk2_esk2_3(X0,X1,X2))
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_59_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_307,plain,
% 0.20/0.45 ( ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.45 | ~ element(X2,the_carrier(X0))
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | ~ rel_str(X0)
% 0.20/0.45 | relstr_element_smaller(X0,X1,sk2_esk2_3(X0,X1,X2))
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_308,plain,
% 0.20/0.45 ( ~ rel_str(X0)
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | ~ element(X1,the_carrier(X0))
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X2)
% 0.20/0.45 | relstr_element_smaller(X0,X2,sk2_esk2_3(X0,X2,X1))
% 0.20/0.45 | ~ relstr_element_smaller(X0,X2,X1) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_307]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_512,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ rel_str(sk3_esk1_0)
% 0.20/0.45 | ~ antisymmetric_relstr(sk3_esk1_0)
% 0.20/0.45 | ~ element(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ex_inf_of_relstr_set(sk3_esk1_0,X0)
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,X0,the_carrier(sk3_esk1_0))
% 0.20/0.45 | relstr_element_smaller(sk3_esk1_0,X0,sk2_esk2_3(sk3_esk1_0,X0,the_carrier(sk3_esk1_0))) ),
% 0.20/0.45 inference(resolution,[status(thm)],[c_469,c_308]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_515,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ rel_str(sk3_esk1_0)
% 0.20/0.45 | ~ antisymmetric_relstr(sk3_esk1_0)
% 0.20/0.45 | ~ element(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ex_inf_of_relstr_set(sk3_esk1_0,X0)
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,X0,the_carrier(sk3_esk1_0))
% 0.20/0.45 | relstr_element_smaller(sk3_esk1_0,X0,sk2_esk2_3(sk3_esk1_0,X0,the_carrier(sk3_esk1_0))) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_512]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_570,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ element(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ex_inf_of_relstr_set(sk3_esk1_0,X0)
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,X0,the_carrier(sk3_esk1_0))
% 0.20/0.45 | relstr_element_smaller(sk3_esk1_0,X0,sk2_esk2_3(sk3_esk1_0,X0,the_carrier(sk3_esk1_0))) ),
% 0.20/0.45 inference(forward_subsumption_resolution,
% 0.20/0.45 [status(thm)],
% 0.20/0.45 [c_515,c_473,c_477]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_571,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ element(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ex_inf_of_relstr_set(sk3_esk1_0,X0)
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,X0,the_carrier(sk3_esk1_0))
% 0.20/0.45 | relstr_element_smaller(sk3_esk1_0,X0,sk2_esk2_3(sk3_esk1_0,X0,the_carrier(sk3_esk1_0))) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_570]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_30,plain,
% 0.20/0.45 ( ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.45 | ~ element(X2,the_carrier(X0))
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | ~ rel_str(X0)
% 0.20/0.45 | element(sk2_esk2_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X1) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_61_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_331,plain,
% 0.20/0.45 ( ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.45 | ~ element(X2,the_carrier(X0))
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | ~ rel_str(X0)
% 0.20/0.45 | element(sk2_esk2_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X1) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_30]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_332,plain,
% 0.20/0.45 ( ~ rel_str(X0)
% 0.20/0.45 | ~ antisymmetric_relstr(X0)
% 0.20/0.45 | element(sk2_esk2_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.45 | ~ element(X2,the_carrier(X0))
% 0.20/0.45 | ex_inf_of_relstr_set(X0,X1)
% 0.20/0.45 | ~ relstr_element_smaller(X0,X1,X2) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_331]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_511,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ rel_str(sk3_esk1_0)
% 0.20/0.45 | ~ antisymmetric_relstr(sk3_esk1_0)
% 0.20/0.45 | element(sk2_esk2_3(sk3_esk1_0,the_carrier(sk3_esk1_0),X0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ element(X0,the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,the_carrier(sk3_esk1_0),X0) ),
% 0.20/0.45 inference(resolution,[status(thm)],[c_469,c_332]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_516,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | ~ rel_str(sk3_esk1_0)
% 0.20/0.45 | ~ antisymmetric_relstr(sk3_esk1_0)
% 0.20/0.45 | element(sk2_esk2_3(sk3_esk1_0,the_carrier(sk3_esk1_0),X0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ element(X0,the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,the_carrier(sk3_esk1_0),X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_511]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_555,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | element(sk2_esk2_3(sk3_esk1_0,the_carrier(sk3_esk1_0),X0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ element(X0,the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,the_carrier(sk3_esk1_0),X0) ),
% 0.20/0.45 inference(forward_subsumption_resolution,
% 0.20/0.45 [status(thm)],
% 0.20/0.45 [c_516,c_473,c_477]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_556,plain,
% 0.20/0.45 ( ~ ex_sup_of_relstr_set(sk3_esk1_0,empty_set)
% 0.20/0.45 | element(sk2_esk2_3(sk3_esk1_0,the_carrier(sk3_esk1_0),X0),the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ element(X0,the_carrier(sk3_esk1_0))
% 0.20/0.45 | ~ relstr_element_smaller(sk3_esk1_0,the_carrier(sk3_esk1_0),X0) ),
% 0.20/0.45 inference(rewriting,[status(thm)],[c_555]) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_98,plain,
% 0.20/0.45 ( ~ related(X0,X1,sk1_esk2_3(X0,X2,X1))
% 0.20/0.45 | ~ element(X1,the_carrier(X0))
% 0.20/0.45 | relstr_element_smaller(X0,X2,X1)
% 0.20/0.45 | ~ rel_str(X0) ),
% 0.20/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_66_0) ).
% 0.20/0.45
% 0.20/0.45 cnf(c_467,plain,
% 0.20/0.45 ( ~ related(X0,X1,sk1_esk2_3(X0,X2,X1))
% 0.20/0.45 | ~ element(X1,the_carrier(X0))
% 0.20/0.45 | relstr_element_smaller(X0,X2,X1)
% 0.20/0.45 | ~ rel_str(X0) ),
% 0.20/0.45 inference(copy,[status(esa)],[c_98]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_468,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | ~ related(X0,X1,sk1_esk2_3(X0,X2,X1))
% 0.20/0.46 | relstr_element_smaller(X0,X2,X1) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_467]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_485,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(sk3_esk1_0))
% 0.20/0.46 | ~ related(sk3_esk1_0,X0,sk1_esk2_3(sk3_esk1_0,X1,X0))
% 0.20/0.46 | relstr_element_smaller(sk3_esk1_0,X1,X0) ),
% 0.20/0.46 inference(resolution,[status(thm)],[c_477,c_468]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_494,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(sk3_esk1_0))
% 0.20/0.46 | ~ related(sk3_esk1_0,X0,sk1_esk2_3(sk3_esk1_0,X1,X0))
% 0.20/0.46 | relstr_element_smaller(sk3_esk1_0,X1,X0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_485]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_36,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | ~ relstr_set_smaller(X1,X2,X0)
% 0.20/0.46 | ~ ex_sup_of_relstr_set(X1,X2)
% 0.20/0.46 | ~ antisymmetric_relstr(X1)
% 0.20/0.46 | ~ rel_str(X1)
% 0.20/0.46 | related(X1,sk2_esk3_2(X1,X2),X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_62_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_343,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | ~ relstr_set_smaller(X1,X2,X0)
% 0.20/0.46 | ~ ex_sup_of_relstr_set(X1,X2)
% 0.20/0.46 | ~ antisymmetric_relstr(X1)
% 0.20/0.46 | ~ rel_str(X1)
% 0.20/0.46 | related(X1,sk2_esk3_2(X1,X2),X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_36]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_344,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | ~ relstr_set_smaller(X0,X1,X2)
% 0.20/0.46 | related(X0,sk2_esk3_2(X0,X1),X2) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_343]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_537,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)),sk3_esk1_0)
% 0.20/0.46 | ~ rel_str(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)))
% 0.20/0.46 | ~ antisymmetric_relstr(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)))
% 0.20/0.46 | ~ element(sk2_esk3_2(sk3_esk1_0,X1),the_carrier(sk3_esk1_0))
% 0.20/0.46 | ~ element(X1,the_carrier(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1))))
% 0.20/0.46 | ~ relstr_set_smaller(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)),sk3_esk1_0,X1)
% 0.20/0.46 | related(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)),sk2_esk3_2(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)),sk3_esk1_0),X1)
% 0.20/0.46 | relstr_element_smaller(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)) ),
% 0.20/0.46 inference(resolution,[status(thm)],[c_494,c_344]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_538,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)),sk3_esk1_0)
% 0.20/0.46 | ~ rel_str(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)))
% 0.20/0.46 | ~ antisymmetric_relstr(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)))
% 0.20/0.46 | ~ element(sk2_esk3_2(sk3_esk1_0,X1),the_carrier(sk3_esk1_0))
% 0.20/0.46 | ~ element(X1,the_carrier(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1))))
% 0.20/0.46 | ~ relstr_set_smaller(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)),sk3_esk1_0,X1)
% 0.20/0.46 | related(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)),sk2_esk3_2(sk1_esk2_3(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)),sk3_esk1_0),X1)
% 0.20/0.46 | relstr_element_smaller(sk3_esk1_0,X0,sk2_esk3_2(sk3_esk1_0,X1)) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_537]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_91,plain,
% 0.20/0.46 ( ~ lower_bounded_relstr(X0)
% 0.20/0.46 | relstr_element_smaller(X0,the_carrier(X0),sk1_esk1_1(X0))
% 0.20/0.46 | ~ rel_str(X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_73_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_453,plain,
% 0.20/0.46 ( ~ lower_bounded_relstr(X0)
% 0.20/0.46 | relstr_element_smaller(X0,the_carrier(X0),sk1_esk1_1(X0))
% 0.20/0.46 | ~ rel_str(X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_91]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_454,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | relstr_element_smaller(X0,the_carrier(X0),sk1_esk1_1(X0))
% 0.20/0.46 | ~ lower_bounded_relstr(X0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_453]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_487,plain,
% 0.20/0.46 ( relstr_element_smaller(sk3_esk1_0,the_carrier(sk3_esk1_0),sk1_esk1_1(sk3_esk1_0))
% 0.20/0.46 | ~ lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(resolution,[status(thm)],[c_477,c_454]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_492,plain,
% 0.20/0.46 ( relstr_element_smaller(sk3_esk1_0,the_carrier(sk3_esk1_0),sk1_esk1_1(sk3_esk1_0))
% 0.20/0.46 | ~ lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_487]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_102,negated_conjecture,
% 0.20/0.46 ( lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_11) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_138,negated_conjecture,
% 0.20/0.46 ( lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_102]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_155,negated_conjecture,
% 0.20/0.46 ( lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_138]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_158,negated_conjecture,
% 0.20/0.46 ( lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_155]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_165,negated_conjecture,
% 0.20/0.46 ( lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_158]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_475,negated_conjecture,
% 0.20/0.46 ( lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_165]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_528,plain,
% 0.20/0.46 ( relstr_element_smaller(sk3_esk1_0,the_carrier(sk3_esk1_0),sk1_esk1_1(sk3_esk1_0)) ),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[c_492,c_475]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_529,plain,
% 0.20/0.46 ( relstr_element_smaller(sk3_esk1_0,the_carrier(sk3_esk1_0),sk1_esk1_1(sk3_esk1_0)) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_528]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_90,plain,
% 0.20/0.46 ( ~ lower_bounded_relstr(X0)
% 0.20/0.46 | element(sk1_esk1_1(X0),the_carrier(X0))
% 0.20/0.46 | ~ rel_str(X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_74_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_451,plain,
% 0.20/0.46 ( ~ lower_bounded_relstr(X0)
% 0.20/0.46 | element(sk1_esk1_1(X0),the_carrier(X0))
% 0.20/0.46 | ~ rel_str(X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_90]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_452,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | element(sk1_esk1_1(X0),the_carrier(X0))
% 0.20/0.46 | ~ lower_bounded_relstr(X0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_451]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_488,plain,
% 0.20/0.46 ( element(sk1_esk1_1(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.46 | ~ lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(resolution,[status(thm)],[c_477,c_452]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_491,plain,
% 0.20/0.46 ( element(sk1_esk1_1(sk3_esk1_0),the_carrier(sk3_esk1_0))
% 0.20/0.46 | ~ lower_bounded_relstr(sk3_esk1_0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_488]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_521,plain,
% 0.20/0.46 ( element(sk1_esk1_1(sk3_esk1_0),the_carrier(sk3_esk1_0)) ),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[c_491,c_475]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_522,plain,
% 0.20/0.46 ( element(sk1_esk1_1(sk3_esk1_0),the_carrier(sk3_esk1_0)) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_521]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_85,plain,
% 0.20/0.46 ( one_sorted_str(X0) | ~ rel_str(X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_79_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_441,plain,
% 0.20/0.46 ( one_sorted_str(X0) | ~ rel_str(X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_85]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_442,plain,
% 0.20/0.46 ( ~ rel_str(X0) | one_sorted_str(X0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_441]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_489,plain,
% 0.20/0.46 ( one_sorted_str(sk3_esk1_0) ),
% 0.20/0.46 inference(resolution,[status(thm)],[c_477,c_442]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_490,plain,
% 0.20/0.46 ( one_sorted_str(sk3_esk1_0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_489]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_97,plain,
% 0.20/0.46 ( ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.46 | ~ element(X3,the_carrier(X0))
% 0.20/0.46 | ~ in(X3,X1)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | related(X0,X2,X3)
% 0.20/0.46 | ~ rel_str(X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_67_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_465,plain,
% 0.20/0.46 ( ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.46 | ~ element(X3,the_carrier(X0))
% 0.20/0.46 | ~ in(X3,X1)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | related(X0,X2,X3)
% 0.20/0.46 | ~ rel_str(X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_97]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_466,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | related(X0,X2,X1)
% 0.20/0.46 | ~ relstr_element_smaller(X0,X3,X2)
% 0.20/0.46 | ~ in(X1,X3) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_465]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_486,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(sk3_esk1_0))
% 0.20/0.46 | ~ element(X1,the_carrier(sk3_esk1_0))
% 0.20/0.46 | related(sk3_esk1_0,X1,X0)
% 0.20/0.46 | ~ relstr_element_smaller(sk3_esk1_0,X2,X1)
% 0.20/0.46 | ~ in(X0,X2) ),
% 0.20/0.46 inference(resolution,[status(thm)],[c_477,c_466]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_493,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(sk3_esk1_0))
% 0.20/0.46 | ~ element(X1,the_carrier(sk3_esk1_0))
% 0.20/0.46 | related(sk3_esk1_0,X1,X0)
% 0.20/0.46 | ~ relstr_element_smaller(sk3_esk1_0,X2,X1)
% 0.20/0.46 | ~ in(X0,X2) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_486]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_96,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | element(sk1_esk2_3(X1,X2,X0),the_carrier(X1))
% 0.20/0.46 | relstr_element_smaller(X1,X2,X0)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_68_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_463,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | element(sk1_esk2_3(X1,X2,X0),the_carrier(X1))
% 0.20/0.46 | relstr_element_smaller(X1,X2,X0)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_96]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_464,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | element(sk1_esk2_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | relstr_element_smaller(X0,X1,X2) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_463]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_95,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | in(sk1_esk2_3(X1,X2,X0),X2)
% 0.20/0.46 | relstr_element_smaller(X1,X2,X0)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_69_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_461,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | in(sk1_esk2_3(X1,X2,X0),X2)
% 0.20/0.46 | relstr_element_smaller(X1,X2,X0)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_95]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_462,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | relstr_element_smaller(X0,X2,X1)
% 0.20/0.46 | in(sk1_esk2_3(X0,X2,X1),X2) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_461]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_94,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | ~ relstr_element_smaller(X1,the_carrier(X1),X0)
% 0.20/0.46 | lower_bounded_relstr(X1)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_70_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_459,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | ~ relstr_element_smaller(X1,the_carrier(X1),X0)
% 0.20/0.46 | lower_bounded_relstr(X1)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_94]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_460,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | ~ relstr_element_smaller(X0,the_carrier(X0),X1)
% 0.20/0.46 | lower_bounded_relstr(X0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_459]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_93,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | relstr_set_smaller(X1,empty_set,X0)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_71_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_457,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | relstr_set_smaller(X1,empty_set,X0)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_93]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_458,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | relstr_set_smaller(X0,empty_set,X1) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_457]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_92,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | relstr_element_smaller(X1,empty_set,X0)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_72_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_455,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | relstr_element_smaller(X1,empty_set,X0)
% 0.20/0.46 | ~ rel_str(X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_92]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_456,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | relstr_element_smaller(X0,empty_set,X1) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_455]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_88,plain,
% 0.20/0.46 ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_76_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_447,plain,
% 0.20/0.46 ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_88]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_448,plain,
% 0.20/0.46 ( ~ element(X0,X1) | empty(X1) | in(X0,X1) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_447]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_86,plain,
% 0.20/0.46 ( ~ one_sorted_str(X0) | empty_carrier(X0) | ~ empty(the_carrier(X0)) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_78_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_443,plain,
% 0.20/0.46 ( ~ one_sorted_str(X0) | empty_carrier(X0) | ~ empty(the_carrier(X0)) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_86]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_444,plain,
% 0.20/0.46 ( ~ empty(the_carrier(X0)) | empty_carrier(X0) | ~ one_sorted_str(X0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_443]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_84,plain,
% 0.20/0.46 ( finite(X0) | ~ empty(X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_80_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_439,plain,
% 0.20/0.46 ( finite(X0) | ~ empty(X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_84]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_440,plain,
% 0.20/0.46 ( ~ empty(X0) | finite(X0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_439]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_83,plain,
% 0.20/0.46 ( X0 = empty_set | ~ empty(X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_81_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_437,plain,
% 0.20/0.46 ( X0 = empty_set | ~ empty(X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_83]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_438,plain,
% 0.20/0.46 ( ~ empty(X0) | X0 = empty_set ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_437]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_68,plain,
% 0.20/0.46 ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_70_3) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_407,plain,
% 0.20/0.46 ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_68]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_408,plain,
% 0.20/0.46 ( ~ empty(X0) | ~ empty(X1) | X1 = X0 ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_407]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_60,plain,
% 0.20/0.46 ( ~ ex_inf_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | element(sk2_esk1_2(X0,X1),the_carrier(X0)) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_67_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_391,plain,
% 0.20/0.46 ( ~ ex_inf_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | element(sk2_esk1_2(X0,X1),the_carrier(X0)) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_392,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | element(sk2_esk1_2(X0,X1),the_carrier(X0))
% 0.20/0.46 | ~ ex_inf_of_relstr_set(X0,X1) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_391]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_56,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | element(sk2_esk3_2(X0,X1),the_carrier(X0)) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_66_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_383,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | element(sk2_esk3_2(X0,X1),the_carrier(X0)) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_56]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_384,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | element(sk2_esk3_2(X0,X1),the_carrier(X0)) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_383]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_52,plain,
% 0.20/0.46 ( ~ ex_inf_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | relstr_element_smaller(X0,X1,sk2_esk1_2(X0,X1)) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_65_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_375,plain,
% 0.20/0.46 ( ~ ex_inf_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | relstr_element_smaller(X0,X1,sk2_esk1_2(X0,X1)) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_52]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_376,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ ex_inf_of_relstr_set(X0,X1)
% 0.20/0.46 | relstr_element_smaller(X0,X1,sk2_esk1_2(X0,X1)) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_375]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_48,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | relstr_set_smaller(X0,X1,sk2_esk3_2(X0,X1)) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_64_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_367,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | relstr_set_smaller(X0,X1,sk2_esk3_2(X0,X1)) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_368,plain,
% 0.20/0.46 ( ~ ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | relstr_set_smaller(X0,X1,sk2_esk3_2(X0,X1)) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_367]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_42,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | ~ relstr_element_smaller(X1,X2,X0)
% 0.20/0.46 | ~ ex_inf_of_relstr_set(X1,X2)
% 0.20/0.46 | ~ antisymmetric_relstr(X1)
% 0.20/0.46 | ~ rel_str(X1)
% 0.20/0.46 | related(X1,X0,sk2_esk1_2(X1,X2)) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_63_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_355,plain,
% 0.20/0.46 ( ~ element(X0,the_carrier(X1))
% 0.20/0.46 | ~ relstr_element_smaller(X1,X2,X0)
% 0.20/0.46 | ~ ex_inf_of_relstr_set(X1,X2)
% 0.20/0.46 | ~ antisymmetric_relstr(X1)
% 0.20/0.46 | ~ rel_str(X1)
% 0.20/0.46 | related(X1,X0,sk2_esk1_2(X1,X2)) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_42]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_356,plain,
% 0.20/0.46 ( ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | related(X0,X1,sk2_esk1_2(X0,X2))
% 0.20/0.46 | ~ ex_inf_of_relstr_set(X0,X2)
% 0.20/0.46 | ~ relstr_element_smaller(X0,X2,X1) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_355]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_24,plain,
% 0.20/0.46 ( ~ relstr_set_smaller(X0,X1,X2)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | element(sk2_esk4_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.46 | ex_sup_of_relstr_set(X0,X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_60_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_319,plain,
% 0.20/0.46 ( ~ relstr_set_smaller(X0,X1,X2)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | element(sk2_esk4_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.46 | ex_sup_of_relstr_set(X0,X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_24]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_320,plain,
% 0.20/0.46 ( ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | element(sk2_esk4_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | ~ relstr_set_smaller(X0,X1,X2) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_319]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_12,plain,
% 0.20/0.46 ( ~ relstr_set_smaller(X0,X1,X2)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | relstr_set_smaller(X0,X1,sk2_esk4_3(X0,X1,X2))
% 0.20/0.46 | ex_sup_of_relstr_set(X0,X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_58_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_295,plain,
% 0.20/0.46 ( ~ relstr_set_smaller(X0,X1,X2)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | relstr_set_smaller(X0,X1,sk2_esk4_3(X0,X1,X2))
% 0.20/0.46 | ex_sup_of_relstr_set(X0,X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_296,plain,
% 0.20/0.46 ( ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | relstr_set_smaller(X0,X1,sk2_esk4_3(X0,X1,X2))
% 0.20/0.46 | ~ relstr_set_smaller(X0,X1,X2) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_295]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_100,negated_conjecture,
% 0.20/0.46 ( ~ empty_carrier(sk3_esk1_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_9) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_134,negated_conjecture,
% 0.20/0.46 ( ~ empty_carrier(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_100]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_153,negated_conjecture,
% 0.20/0.46 ( ~ empty_carrier(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_134]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_160,negated_conjecture,
% 0.20/0.46 ( ~ empty_carrier(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_153]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_163,negated_conjecture,
% 0.20/0.46 ( ~ empty_carrier(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_160]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_471,negated_conjecture,
% 0.20/0.46 ( ~ empty_carrier(sk3_esk1_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_163]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_89,plain,
% 0.20/0.46 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_75_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_449,plain,
% 0.20/0.46 ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_89]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_87,plain,
% 0.20/0.46 ( element(X0,X1) | ~ in(X0,X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_77_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_445,plain,
% 0.20/0.46 ( element(X0,X1) | ~ in(X0,X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_87]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_82,plain,
% 0.20/0.46 ( empty(empty_set) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_82_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_435,plain,( empty(empty_set) ),inference(copy,[status(esa)],[c_82]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_78,plain,
% 0.20/0.46 ( $true ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_86_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_427,plain,( $true ),inference(copy,[status(esa)],[c_78]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_77,plain,
% 0.20/0.46 ( one_sorted_str(sk2_esk5_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_78_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_425,plain,
% 0.20/0.46 ( one_sorted_str(sk2_esk5_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_77]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_76,plain,
% 0.20/0.46 ( empty(sk2_esk7_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_77_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_423,plain,( empty(sk2_esk7_0) ),inference(copy,[status(esa)],[c_76]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_75,plain,
% 0.20/0.46 ( finite(sk2_esk8_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_76_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_421,plain,
% 0.20/0.46 ( finite(sk2_esk8_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_75]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_74,plain,
% 0.20/0.46 ( one_sorted_str(sk2_esk10_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_75_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_419,plain,
% 0.20/0.46 ( one_sorted_str(sk2_esk10_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_74]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_73,plain,
% 0.20/0.46 ( rel_str(sk2_esk11_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_74_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_417,plain,
% 0.20/0.46 ( rel_str(sk2_esk11_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_73]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_72,plain,
% 0.20/0.46 ( element(sk2_esk9_1(X0),X0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_69_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_415,plain,
% 0.20/0.46 ( element(sk2_esk9_1(X0),X0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_72]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_71,plain,
% 0.20/0.46 ( ~ empty_carrier(sk2_esk5_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_73_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_413,plain,
% 0.20/0.46 ( ~ empty_carrier(sk2_esk5_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_71]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_70,plain,
% 0.20/0.46 ( ~ empty(sk2_esk6_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_72_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_411,plain,
% 0.20/0.46 ( ~ empty(sk2_esk6_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_70]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_69,plain,
% 0.20/0.46 ( ~ empty(sk2_esk8_0) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_71_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_409,plain,
% 0.20/0.46 ( ~ empty(sk2_esk8_0) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_69]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_66,plain,
% 0.20/0.46 ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_70_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_403,plain,
% 0.20/0.46 ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.20/0.46 inference(copy,[status(esa)],[c_66]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_64,plain,
% 0.20/0.46 ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_68_1) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_399,plain,
% 0.20/0.46 ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_400,plain,
% 0.20/0.46 ( ~ empty(X0) | ~ in(X1,X0) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_399]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_0,plain,
% 0.20/0.46 ( ~ related(X0,X1,sk2_esk4_3(X0,X2,X1))
% 0.20/0.46 | ~ relstr_set_smaller(X0,X2,X1)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | ex_sup_of_relstr_set(X0,X2) ),
% 0.20/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p', c_0_56_0) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_271,plain,
% 0.20/0.46 ( ~ related(X0,X1,sk2_esk4_3(X0,X2,X1))
% 0.20/0.46 | ~ relstr_set_smaller(X0,X2,X1)
% 0.20/0.46 | ~ element(X1,the_carrier(X0))
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | ex_sup_of_relstr_set(X0,X2) ),
% 0.20/0.46 inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.46
% 0.20/0.46 cnf(c_272,plain,
% 0.20/0.46 ( ex_sup_of_relstr_set(X0,X1)
% 0.20/0.46 | ~ rel_str(X0)
% 0.20/0.46 | ~ antisymmetric_relstr(X0)
% 0.20/0.46 | ~ element(X2,the_carrier(X0))
% 0.20/0.46 | ~ relstr_set_smaller(X0,X1,X2)
% 0.20/0.46 | ~ related(X0,X2,sk2_esk4_3(X0,X1,X2)) ),
% 0.20/0.46 inference(rewriting,[status(thm)],[c_271]) ).
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % ------ Statistics
% 0.20/0.46
% 0.20/0.46 % ------ General
% 0.20/0.46
% 0.20/0.46 % num_of_input_clauses: 104
% 0.20/0.46 % num_of_input_neg_conjectures: 5
% 0.20/0.46 % num_of_splits: 0
% 0.20/0.46 % num_of_split_atoms: 0
% 0.20/0.46 % num_of_sem_filtered_clauses: 0
% 0.20/0.46 % num_of_subtypes: 0
% 0.20/0.46 % monotx_restored_types: 0
% 0.20/0.46 % sat_num_of_epr_types: 0
% 0.20/0.46 % sat_num_of_non_cyclic_types: 0
% 0.20/0.46 % sat_guarded_non_collapsed_types: 0
% 0.20/0.46 % is_epr: 0
% 0.20/0.46 % is_horn: 0
% 0.20/0.46 % has_eq: 1
% 0.20/0.46 % num_pure_diseq_elim: 0
% 0.20/0.46 % simp_replaced_by: 0
% 0.20/0.46 % res_preprocessed: 10
% 0.20/0.46 % prep_upred: 0
% 0.20/0.46 % prep_unflattend: 0
% 0.20/0.46 % pred_elim_cands: 0
% 0.20/0.46 % pred_elim: 0
% 0.20/0.46 % pred_elim_cl: 0
% 0.20/0.46 % pred_elim_cycles: 0
% 0.20/0.46 % forced_gc_time: 0
% 0.20/0.46 % gc_basic_clause_elim: 0
% 0.20/0.46 % parsing_time: 0.005
% 0.20/0.46 % sem_filter_time: 0.
% 0.20/0.46 % pred_elim_time: 0.
% 0.20/0.46 % out_proof_time: 0.
% 0.20/0.46 % monotx_time: 0.
% 0.20/0.46 % subtype_inf_time: 0.
% 0.20/0.46 % unif_index_cands_time: 0.
% 0.20/0.46 % unif_index_add_time: 0.
% 0.20/0.46 % total_time: 0.041
% 0.20/0.46 % num_of_symbols: 55
% 0.20/0.46 % num_of_terms: 304
% 0.20/0.46
% 0.20/0.46 % ------ Propositional Solver
% 0.20/0.46
% 0.20/0.46 % prop_solver_calls: 1
% 0.20/0.46 % prop_fast_solver_calls: 18
% 0.20/0.46 % prop_num_of_clauses: 78
% 0.20/0.46 % prop_preprocess_simplified: 342
% 0.20/0.46 % prop_fo_subsumed: 0
% 0.20/0.46 % prop_solver_time: 0.
% 0.20/0.46 % prop_fast_solver_time: 0.
% 0.20/0.46 % prop_unsat_core_time: 0.
% 0.20/0.46
% 0.20/0.46 % ------ QBF
% 0.20/0.46
% 0.20/0.46 % qbf_q_res: 0
% 0.20/0.46 % qbf_num_tautologies: 0
% 0.20/0.46 % qbf_prep_cycles: 0
% 0.20/0.46
% 0.20/0.46 % ------ BMC1
% 0.20/0.46
% 0.20/0.46 % bmc1_current_bound: -1
% 0.20/0.46 % bmc1_last_solved_bound: -1
% 0.20/0.46 % bmc1_unsat_core_size: -1
% 0.20/0.46 % bmc1_unsat_core_parents_size: -1
% 0.20/0.46 % bmc1_merge_next_fun: 0
% 0.20/0.46 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.46
% 0.20/0.46 % ------ Instantiation
% 0.20/0.46
% 0.20/0.46 % inst_num_of_clauses: 101
% 0.20/0.46 % inst_num_in_passive: 0
% 0.20/0.46 % inst_num_in_active: 0
% 0.20/0.46 % inst_num_in_unprocessed: 104
% 0.20/0.46 % inst_num_of_loops: 0
% 0.20/0.46 % inst_num_of_learning_restarts: 0
% 0.20/0.46 % inst_num_moves_active_passive: 0
% 0.20/0.46 % inst_lit_activity: 0
% 0.20/0.46 % inst_lit_activity_moves: 0
% 0.20/0.46 % inst_num_tautologies: 0
% 0.20/0.46 % inst_num_prop_implied: 0
% 0.20/0.46 % inst_num_existing_simplified: 0
% 0.20/0.46 % inst_num_eq_res_simplified: 0
% 0.20/0.46 % inst_num_child_elim: 0
% 0.20/0.46 % inst_num_of_dismatching_blockings: 0
% 0.20/0.46 % inst_num_of_non_proper_insts: 0
% 0.20/0.46 % inst_num_of_duplicates: 0
% 0.20/0.46 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.46 % inst_dismatching_checking_time: 0.
% 0.20/0.46
% 0.20/0.46 % ------ Resolution
% 0.20/0.46
% 0.20/0.46 % res_num_of_clauses: 136
% 0.20/0.46 % res_num_in_passive: 0
% 0.20/0.46 % res_num_in_active: 56
% 0.20/0.46 % res_num_of_loops: 22
% 0.20/0.46 % res_forward_subset_subsumed: 57
% 0.20/0.46 % res_backward_subset_subsumed: 0
% 0.20/0.46 % res_forward_subsumed: 7
% 0.20/0.46 % res_backward_subsumed: 0
% 0.20/0.46 % res_forward_subsumption_resolution: 8
% 0.20/0.46 % res_backward_subsumption_resolution: 0
% 0.20/0.46 % res_clause_to_clause_subsumption: 28
% 0.20/0.46 % res_orphan_elimination: 0
% 0.20/0.46 % res_tautology_del: 0
% 0.20/0.46 % res_num_eq_res_simplified: 0
% 0.20/0.46 % res_num_sel_changes: 0
% 0.20/0.46 % res_moves_from_active_to_pass: 0
% 0.20/0.46
% 0.20/0.46 % Status Unknown
% 0.20/0.50 % Orienting using strategy ClausalAll
% 0.20/0.50 % FOF problem with conjecture
% 0.20/0.50 % 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/sandbox2/tmp/iprover_proof_9dd977.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_bcc8db.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_53be69 | grep -v "SZS"
% 0.35/0.53
% 0.35/0.53 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.35/0.53
% 0.35/0.53 %
% 0.35/0.53 % ------ iProver source info
% 0.35/0.53
% 0.35/0.53 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.35/0.53 % git: non_committed_changes: true
% 0.35/0.53 % git: last_make_outside_of_git: true
% 0.35/0.53
% 0.35/0.53 %
% 0.35/0.53 % ------ Input Options
% 0.35/0.53
% 0.35/0.53 % --out_options all
% 0.35/0.53 % --tptp_safe_out true
% 0.35/0.53 % --problem_path ""
% 0.35/0.53 % --include_path ""
% 0.35/0.53 % --clausifier .//eprover
% 0.35/0.53 % --clausifier_options --tstp-format
% 0.35/0.53 % --stdin false
% 0.35/0.53 % --dbg_backtrace false
% 0.35/0.53 % --dbg_dump_prop_clauses false
% 0.35/0.53 % --dbg_dump_prop_clauses_file -
% 0.35/0.53 % --dbg_out_stat false
% 0.35/0.53
% 0.35/0.53 % ------ General Options
% 0.35/0.53
% 0.35/0.53 % --fof false
% 0.35/0.53 % --time_out_real 150.
% 0.35/0.53 % --time_out_prep_mult 0.2
% 0.35/0.53 % --time_out_virtual -1.
% 0.35/0.53 % --schedule none
% 0.35/0.53 % --ground_splitting input
% 0.35/0.53 % --splitting_nvd 16
% 0.35/0.53 % --non_eq_to_eq false
% 0.35/0.53 % --prep_gs_sim true
% 0.35/0.53 % --prep_unflatten false
% 0.35/0.53 % --prep_res_sim true
% 0.35/0.53 % --prep_upred true
% 0.35/0.53 % --res_sim_input true
% 0.35/0.53 % --clause_weak_htbl true
% 0.35/0.53 % --gc_record_bc_elim false
% 0.35/0.53 % --symbol_type_check false
% 0.35/0.53 % --clausify_out false
% 0.35/0.53 % --large_theory_mode false
% 0.35/0.53 % --prep_sem_filter none
% 0.35/0.53 % --prep_sem_filter_out false
% 0.35/0.53 % --preprocessed_out false
% 0.35/0.53 % --sub_typing false
% 0.35/0.53 % --brand_transform false
% 0.35/0.53 % --pure_diseq_elim true
% 0.35/0.53 % --min_unsat_core false
% 0.35/0.53 % --pred_elim true
% 0.35/0.53 % --add_important_lit false
% 0.35/0.53 % --soft_assumptions false
% 0.35/0.53 % --reset_solvers false
% 0.35/0.53 % --bc_imp_inh []
% 0.35/0.53 % --conj_cone_tolerance 1.5
% 0.35/0.53 % --prolific_symb_bound 500
% 0.35/0.53 % --lt_threshold 2000
% 0.35/0.53
% 0.35/0.53 % ------ SAT Options
% 0.35/0.53
% 0.35/0.53 % --sat_mode false
% 0.35/0.53 % --sat_fm_restart_options ""
% 0.35/0.53 % --sat_gr_def false
% 0.35/0.53 % --sat_epr_types true
% 0.35/0.53 % --sat_non_cyclic_types false
% 0.35/0.53 % --sat_finite_models false
% 0.35/0.53 % --sat_fm_lemmas false
% 0.35/0.53 % --sat_fm_prep false
% 0.35/0.53 % --sat_fm_uc_incr true
% 0.35/0.53 % --sat_out_model small
% 0.35/0.53 % --sat_out_clauses false
% 0.35/0.53
% 0.35/0.53 % ------ QBF Options
% 0.35/0.53
% 0.35/0.53 % --qbf_mode false
% 0.35/0.53 % --qbf_elim_univ true
% 0.35/0.53 % --qbf_sk_in true
% 0.35/0.53 % --qbf_pred_elim true
% 0.35/0.53 % --qbf_split 32
% 0.35/0.53
% 0.35/0.53 % ------ BMC1 Options
% 0.35/0.53
% 0.35/0.53 % --bmc1_incremental false
% 0.35/0.53 % --bmc1_axioms reachable_all
% 0.35/0.53 % --bmc1_min_bound 0
% 0.35/0.53 % --bmc1_max_bound -1
% 0.35/0.53 % --bmc1_max_bound_default -1
% 0.35/0.53 % --bmc1_symbol_reachability true
% 0.35/0.53 % --bmc1_property_lemmas false
% 0.35/0.53 % --bmc1_k_induction false
% 0.35/0.53 % --bmc1_non_equiv_states false
% 0.35/0.53 % --bmc1_deadlock false
% 0.35/0.53 % --bmc1_ucm false
% 0.35/0.53 % --bmc1_add_unsat_core none
% 0.35/0.53 % --bmc1_unsat_core_children false
% 0.35/0.53 % --bmc1_unsat_core_extrapolate_axioms false
% 0.35/0.53 % --bmc1_out_stat full
% 0.35/0.53 % --bmc1_ground_init false
% 0.35/0.53 % --bmc1_pre_inst_next_state false
% 0.35/0.53 % --bmc1_pre_inst_state false
% 0.35/0.53 % --bmc1_pre_inst_reach_state false
% 0.35/0.53 % --bmc1_out_unsat_core false
% 0.35/0.53 % --bmc1_aig_witness_out false
% 0.35/0.53 % --bmc1_verbose false
% 0.35/0.53 % --bmc1_dump_clauses_tptp false
% 0.35/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.35/0.55 % --bmc1_dump_file -
% 0.35/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.35/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.35/0.55 % --bmc1_ucm_extend_mode 1
% 0.35/0.55 % --bmc1_ucm_init_mode 2
% 0.35/0.55 % --bmc1_ucm_cone_mode none
% 0.35/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.35/0.55 % --bmc1_ucm_relax_model 4
% 0.35/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.35/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.35/0.55 % --bmc1_ucm_layered_model none
% 0.35/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.35/0.55
% 0.35/0.55 % ------ AIG Options
% 0.35/0.55
% 0.35/0.55 % --aig_mode false
% 0.35/0.55
% 0.35/0.55 % ------ Instantiation Options
% 0.35/0.55
% 0.35/0.55 % --instantiation_flag true
% 0.35/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.35/0.55 % --inst_solver_per_active 750
% 0.35/0.55 % --inst_solver_calls_frac 0.5
% 0.35/0.55 % --inst_passive_queue_type priority_queues
% 0.35/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.35/0.55 % --inst_passive_queues_freq [25;2]
% 0.35/0.55 % --inst_dismatching true
% 0.35/0.55 % --inst_eager_unprocessed_to_passive true
% 0.35/0.55 % --inst_prop_sim_given true
% 0.35/0.55 % --inst_prop_sim_new false
% 0.35/0.55 % --inst_orphan_elimination true
% 0.35/0.55 % --inst_learning_loop_flag true
% 0.35/0.55 % --inst_learning_start 3000
% 0.35/0.55 % --inst_learning_factor 2
% 0.35/0.55 % --inst_start_prop_sim_after_learn 3
% 0.35/0.55 % --inst_sel_renew solver
% 0.35/0.55 % --inst_lit_activity_flag true
% 0.35/0.55 % --inst_out_proof true
% 0.35/0.55
% 0.35/0.55 % ------ Resolution Options
% 0.35/0.55
% 0.35/0.55 % --resolution_flag true
% 0.35/0.55 % --res_lit_sel kbo_max
% 0.35/0.55 % --res_to_prop_solver none
% 0.35/0.55 % --res_prop_simpl_new false
% 0.35/0.55 % --res_prop_simpl_given false
% 0.35/0.55 % --res_passive_queue_type priority_queues
% 0.35/0.55 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.35/0.55 % --res_passive_queues_freq [15;5]
% 0.35/0.55 % --res_forward_subs full
% 0.35/0.55 % --res_backward_subs full
% 0.35/0.55 % --res_forward_subs_resolution true
% 0.35/0.55 % --res_backward_subs_resolution true
% 0.35/0.55 % --res_orphan_elimination false
% 0.35/0.55 % --res_time_limit 1000.
% 0.35/0.55 % --res_out_proof true
% 0.35/0.55 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9dd977.s
% 0.35/0.55 % --modulo true
% 0.35/0.55
% 0.35/0.55 % ------ Combination Options
% 0.35/0.55
% 0.35/0.55 % --comb_res_mult 1000
% 0.35/0.55 % --comb_inst_mult 300
% 0.35/0.55 % ------
% 0.35/0.55
% 0.35/0.55 % ------ Parsing...% successful
% 0.35/0.55
% 0.35/0.55 % ------ 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 %
% 0.35/0.55
% 0.35/0.55 % ------ Proving...
% 0.35/0.55 % ------ Problem Properties
% 0.35/0.55
% 0.35/0.55 %
% 0.35/0.55 % EPR false
% 0.35/0.55 % Horn false
% 0.35/0.55 % Has equality true
% 0.35/0.55
% 0.35/0.55 % % ------ Input Options Time Limit: Unbounded
% 0.35/0.55
% 0.35/0.55
% 0.35/0.55 % % ------ Current options:
% 0.35/0.55
% 0.35/0.55 % ------ Input Options
% 0.35/0.55
% 0.35/0.55 % --out_options all
% 0.35/0.55 % --tptp_safe_out true
% 0.35/0.55 % --problem_path ""
% 0.35/0.55 % --include_path ""
% 0.35/0.55 % --clausifier .//eprover
% 0.35/0.55 % --clausifier_options --tstp-format
% 0.35/0.55 % --stdin false
% 0.35/0.55 % --dbg_backtrace false
% 0.35/0.55 % --dbg_dump_prop_clauses false
% 0.35/0.55 % --dbg_dump_prop_clauses_file -
% 0.35/0.55 % --dbg_out_stat false
% 0.35/0.55
% 0.35/0.55 % ------ General Options
% 0.35/0.55
% 0.35/0.55 % --fof false
% 0.35/0.55 % --time_out_real 150.
% 0.35/0.55 % --time_out_prep_mult 0.2
% 0.35/0.55 % --time_out_virtual -1.
% 0.35/0.55 % --schedule none
% 0.35/0.55 % --ground_splitting input
% 0.35/0.55 % --splitting_nvd 16
% 0.35/0.55 % --non_eq_to_eq false
% 0.35/0.55 % --prep_gs_sim true
% 0.35/0.55 % --prep_unflatten false
% 0.35/0.55 % --prep_res_sim true
% 0.35/0.55 % --prep_upred true
% 0.35/0.55 % --res_sim_input true
% 0.35/0.55 % --clause_weak_htbl true
% 0.35/0.55 % --gc_record_bc_elim false
% 0.35/0.55 % --symbol_type_check false
% 0.35/0.55 % --clausify_out false
% 0.35/0.55 % --large_theory_mode false
% 0.35/0.55 % --prep_sem_filter none
% 0.35/0.55 % --prep_sem_filter_out false
% 0.35/0.55 % --preprocessed_out false
% 0.35/0.55 % --sub_typing false
% 0.35/0.55 % --brand_transform false
% 0.35/0.55 % --pure_diseq_elim true
% 0.35/0.55 % --min_unsat_core false
% 0.35/0.55 % --pred_elim true
% 0.35/0.55 % --add_important_lit false
% 0.35/0.55 % --soft_assumptions false
% 0.35/0.55 % --reset_solvers false
% 0.35/0.55 % --bc_imp_inh []
% 0.35/0.55 % --conj_cone_tolerance 1.5
% 0.35/0.55 % --prolific_symb_bound 500
% 0.35/0.55 % --lt_threshold 2000
% 0.35/0.55
% 0.35/0.55 % ------ SAT Options
% 0.35/0.55
% 0.35/0.55 % --sat_mode false
% 0.35/0.55 % --sat_fm_restart_options ""
% 0.35/0.55 % --sat_gr_def false
% 0.35/0.55 % --sat_epr_types true
% 0.35/0.55 % --sat_non_cyclic_types false
% 0.35/0.55 % --sat_finite_models false
% 0.35/0.55 % --sat_fm_lemmas false
% 0.35/0.55 % --sat_fm_prep false
% 0.35/0.55 % --sat_fm_uc_incr true
% 0.35/0.55 % --sat_out_model small
% 0.35/0.55 % --sat_out_clauses false
% 0.35/0.55
% 0.35/0.55 % ------ QBF Options
% 0.35/0.55
% 0.35/0.55 % --qbf_mode false
% 0.35/0.55 % --qbf_elim_univ true
% 0.35/0.55 % --qbf_sk_in true
% 0.35/0.55 % --qbf_pred_elim true
% 0.35/0.55 % --qbf_split 32
% 0.35/0.55
% 0.35/0.55 % ------ BMC1 Options
% 0.35/0.55
% 0.35/0.55 % --bmc1_incremental false
% 0.35/0.55 % --bmc1_axioms reachable_all
% 0.35/0.55 % --bmc1_min_bound 0
% 0.35/0.55 % --bmc1_max_bound -1
% 0.35/0.55 % --bmc1_max_bound_default -1
% 0.35/0.55 % --bmc1_symbol_reachability true
% 0.35/0.55 % --bmc1_property_lemmas false
% 0.35/0.55 % --bmc1_k_induction false
% 0.35/0.55 % --bmc1_non_equiv_states false
% 0.35/0.55 % --bmc1_deadlock false
% 0.35/0.55 % --bmc1_ucm false
% 0.35/0.55 % --bmc1_add_unsat_core none
% 0.35/0.55 % --bmc1_unsat_core_children false
% 0.35/0.55 % --bmc1_unsat_core_extrapolate_axioms false
% 0.35/0.55 % --bmc1_out_stat full
% 0.35/0.55 % --bmc1_ground_init false
% 0.35/0.55 % --bmc1_pre_inst_next_state false
% 0.35/0.55 % --bmc1_pre_inst_state false
% 0.35/0.55 % --bmc1_pre_inst_reach_state false
% 0.35/0.55 % --bmc1_out_unsat_core false
% 0.35/0.55 % --bmc1_aig_witness_out false
% 0.35/0.55 % --bmc1_verbose false
% 0.35/0.55 % --bmc1_dump_clauses_tptp false
% 0.35/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.35/0.55 % --bmc1_dump_file -
% 0.35/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.35/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.35/0.55 % --bmc1_ucm_extend_mode 1
% 0.35/0.55 % --bmc1_ucm_init_mode 2
% 0.35/0.55 % --bmc1_ucm_cone_mode none
% 0.35/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.35/0.55 % --bmc1_ucm_relax_model 4
% 0.35/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.35/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.35/0.55 % --bmc1_ucm_layered_model none
% 0.35/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.35/0.55
% 0.35/0.55 % ------ AIG Options
% 0.35/0.55
% 0.35/0.55 % --aig_mode false
% 0.35/0.55
% 0.35/0.55 % ------ Instantiation Options
% 0.35/0.55
% 0.35/0.55 % --instantiation_flag true
% 0.35/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.35/0.55 % --inst_solver_per_active 750
% 0.35/0.55 % --inst_solver_calls_frac 0.5
% 0.35/0.55 % --inst_passive_queue_type priority_queues
% 0.35/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.35/0.55 % --inst_passive_queues_freq [25;2]
% 0.35/0.55 % --inst_dismatching true
% 0.35/0.55 % --inst_eager_unprocessed_to_passive true
% 0.35/0.55 % --inst_prop_sim_given true
% 7.45/7.63 % --inst_prop_sim_new false
% 7.45/7.63 % --inst_orphan_elimination true
% 7.45/7.63 % --inst_learning_loop_flag true
% 7.45/7.63 % --inst_learning_start 3000
% 7.45/7.63 % --inst_learning_factor 2
% 7.45/7.63 % --inst_start_prop_sim_after_learn 3
% 7.45/7.63 % --inst_sel_renew solver
% 7.45/7.63 % --inst_lit_activity_flag true
% 7.45/7.63 % --inst_out_proof true
% 7.45/7.63
% 7.45/7.63 % ------ Resolution Options
% 7.45/7.63
% 7.45/7.63 % --resolution_flag true
% 7.45/7.63 % --res_lit_sel kbo_max
% 7.45/7.63 % --res_to_prop_solver none
% 7.45/7.63 % --res_prop_simpl_new false
% 7.45/7.63 % --res_prop_simpl_given false
% 7.45/7.63 % --res_passive_queue_type priority_queues
% 7.45/7.63 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.45/7.63 % --res_passive_queues_freq [15;5]
% 7.45/7.63 % --res_forward_subs full
% 7.45/7.63 % --res_backward_subs full
% 7.45/7.63 % --res_forward_subs_resolution true
% 7.45/7.63 % --res_backward_subs_resolution true
% 7.45/7.63 % --res_orphan_elimination false
% 7.45/7.63 % --res_time_limit 1000.
% 7.45/7.63 % --res_out_proof true
% 7.45/7.63 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9dd977.s
% 7.45/7.63 % --modulo true
% 7.45/7.63
% 7.45/7.63 % ------ Combination Options
% 7.45/7.63
% 7.45/7.63 % --comb_res_mult 1000
% 7.45/7.63 % --comb_inst_mult 300
% 7.45/7.63 % ------
% 7.45/7.63
% 7.45/7.63
% 7.45/7.63
% 7.45/7.63 % ------ Proving...
% 7.45/7.63 %
% 7.45/7.63
% 7.45/7.63
% 7.45/7.63 % ------ Statistics
% 7.45/7.63
% 7.45/7.63 % ------ General
% 7.45/7.63
% 7.45/7.63 % num_of_input_clauses: 138
% 7.45/7.63 % num_of_input_neg_conjectures: 5
% 7.45/7.63 % num_of_splits: 0
% 7.45/7.63 % num_of_split_atoms: 0
% 7.45/7.63 % num_of_sem_filtered_clauses: 0
% 7.45/7.63 % num_of_subtypes: 0
% 7.45/7.63 % monotx_restored_types: 0
% 7.45/7.63 % sat_num_of_epr_types: 0
% 7.45/7.63 % sat_num_of_non_cyclic_types: 0
% 7.45/7.63 % sat_guarded_non_collapsed_types: 0
% 7.45/7.63 % is_epr: 0
% 7.45/7.63 % is_horn: 0
% 7.45/7.63 % has_eq: 1
% 7.45/7.63 % num_pure_diseq_elim: 0
% 7.45/7.63 % simp_replaced_by: 0
% 7.45/7.63 % res_preprocessed: 10
% 7.45/7.63 % prep_upred: 0
% 7.45/7.63 % prep_unflattend: 0
% 7.45/7.63 % pred_elim_cands: 0
% 7.45/7.63 % pred_elim: 0
% 7.45/7.63 % pred_elim_cl: 0
% 7.45/7.63 % pred_elim_cycles: 0
% 7.45/7.63 % forced_gc_time: 0
% 7.45/7.63 % gc_basic_clause_elim: 0
% 7.45/7.63 % parsing_time: 0.007
% 7.45/7.63 % sem_filter_time: 0.
% 7.45/7.63 % pred_elim_time: 0.
% 7.45/7.63 % out_proof_time: 0.002
% 7.45/7.63 % monotx_time: 0.
% 7.45/7.63 % subtype_inf_time: 0.
% 7.45/7.63 % unif_index_cands_time: 0.013
% 7.45/7.63 % unif_index_add_time: 0.018
% 7.45/7.63 % total_time: 7.122
% 7.45/7.63 % num_of_symbols: 55
% 7.45/7.63 % num_of_terms: 90679
% 7.45/7.63
% 7.45/7.63 % ------ Propositional Solver
% 7.45/7.63
% 7.45/7.63 % prop_solver_calls: 11
% 7.45/7.63 % prop_fast_solver_calls: 18
% 7.45/7.63 % prop_num_of_clauses: 1895
% 7.45/7.63 % prop_preprocess_simplified: 2775
% 7.45/7.63 % prop_fo_subsumed: 0
% 7.45/7.63 % prop_solver_time: 0.
% 7.45/7.63 % prop_fast_solver_time: 0.
% 7.45/7.63 % prop_unsat_core_time: 0.
% 7.45/7.63
% 7.45/7.63 % ------ QBF
% 7.45/7.63
% 7.45/7.63 % qbf_q_res: 0
% 7.45/7.63 % qbf_num_tautologies: 0
% 7.45/7.63 % qbf_prep_cycles: 0
% 7.45/7.63
% 7.45/7.63 % ------ BMC1
% 7.45/7.63
% 7.45/7.63 % bmc1_current_bound: -1
% 7.45/7.63 % bmc1_last_solved_bound: -1
% 7.45/7.63 % bmc1_unsat_core_size: -1
% 7.45/7.63 % bmc1_unsat_core_parents_size: -1
% 7.45/7.63 % bmc1_merge_next_fun: 0
% 7.45/7.63 % bmc1_unsat_core_clauses_time: 0.
% 7.45/7.63
% 7.45/7.63 % ------ Instantiation
% 7.45/7.63
% 7.45/7.63 % inst_num_of_clauses: 1153
% 7.45/7.63 % inst_num_in_passive: 365
% 7.45/7.63 % inst_num_in_active: 770
% 7.45/7.63 % inst_num_in_unprocessed: 18
% 7.45/7.63 % inst_num_of_loops: 993
% 7.45/7.64 % inst_num_of_learning_restarts: 0
% 7.45/7.64 % inst_num_moves_active_passive: 217
% 7.45/7.64 % inst_lit_activity: 518
% 7.45/7.64 % inst_lit_activity_moves: 1
% 7.45/7.64 % inst_num_tautologies: 0
% 7.45/7.64 % inst_num_prop_implied: 0
% 7.45/7.64 % inst_num_existing_simplified: 0
% 7.45/7.64 % inst_num_eq_res_simplified: 0
% 7.45/7.64 % inst_num_child_elim: 0
% 7.45/7.64 % inst_num_of_dismatching_blockings: 252
% 7.45/7.64 % inst_num_of_non_proper_insts: 874
% 7.45/7.64 % inst_num_of_duplicates: 635
% 7.45/7.64 % inst_inst_num_from_inst_to_res: 0
% 7.45/7.64 % inst_dismatching_checking_time: 0.001
% 7.45/7.64
% 7.45/7.64 % ------ Resolution
% 7.45/7.64
% 7.45/7.64 % res_num_of_clauses: 11057
% 7.45/7.64 % res_num_in_passive: 7313
% 7.45/7.64 % res_num_in_active: 3633
% 7.45/7.64 % res_num_of_loops: 4000
% 7.45/7.64 % res_forward_subset_subsumed: 464
% 7.45/7.64 % res_backward_subset_subsumed: 0
% 7.45/7.64 % res_forward_subsumed: 409
% 7.45/7.64 % res_backward_subsumed: 0
% 7.45/7.64 % res_forward_subsumption_resolution: 3563
% 7.45/7.64 % res_backward_subsumption_resolution: 0
% 7.45/7.64 % res_clause_to_clause_subsumption: 112213
% 7.45/7.64 % res_orphan_elimination: 0
% 7.45/7.64 % res_tautology_del: 16
% 7.45/7.64 % res_num_eq_res_simplified: 0
% 7.45/7.64 % res_num_sel_changes: 0
% 7.45/7.64 % res_moves_from_active_to_pass: 0
% 7.45/7.64
% 7.47/7.64 % Status Unsatisfiable
% 7.47/7.64 % SZS status Theorem
% 7.47/7.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------