%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU356+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 10:27:39 EDT 2022
% Result : Theorem 24.82s 25.03s
% Output : CNFRefutation 24.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_m1_subset_1,axiom,
$true,
input ).
fof(dt_m1_subset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_subset_1]) ).
fof(dt_l1_struct_0,axiom,
$true,
input ).
fof(dt_l1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_l1_struct_0]) ).
fof(dt_l1_orders_2,axiom,
! [A] :
( rel_str(A)
=> one_sorted_str(A) ),
input ).
fof(dt_l1_orders_2_0,plain,
! [A] :
( ~ rel_str(A)
| one_sorted_str(A) ),
inference(orientation,[status(thm)],[dt_l1_orders_2]) ).
fof(d7_yellow_0,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_set_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) )
& ! [D] :
( element(D,the_carrier(A))
=> ( ( relstr_set_smaller(A,B,D)
& ! [E] :
( element(E,the_carrier(A))
=> ( relstr_set_smaller(A,B,E)
=> related(A,D,E) ) ) )
=> D = C ) ) ) ) ),
input ).
fof(d7_yellow_0_0,plain,
! [A] :
( ~ rel_str(A)
| ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_set_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) )
& ! [D] :
( element(D,the_carrier(A))
=> ( ( relstr_set_smaller(A,B,D)
& ! [E] :
( element(E,the_carrier(A))
=> ( relstr_set_smaller(A,B,E)
=> related(A,D,E) ) ) )
=> D = C ) ) ) ) ),
inference(orientation,[status(thm)],[d7_yellow_0]) ).
fof(def_lhs_atom1,axiom,
! [A] :
( lhs_atom1(A)
<=> ~ rel_str(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
! [A] :
( lhs_atom1(A)
| ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_set_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) )
& ! [D] :
( element(D,the_carrier(A))
=> ( ( relstr_set_smaller(A,B,D)
& ! [E] :
( element(E,the_carrier(A))
=> ( relstr_set_smaller(A,B,E)
=> related(A,D,E) ) ) )
=> D = C ) ) ) ) ),
inference(fold_definition,[status(thm)],[d7_yellow_0_0,def_lhs_atom1]) ).
fof(to_be_clausified_1,plain,
! [A] :
( lhs_atom1(A)
| one_sorted_str(A) ),
inference(fold_definition,[status(thm)],[dt_l1_orders_2_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> $true ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom2]) ).
fof(to_be_clausified_3,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom2]) ).
fof(to_be_clausified_4,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom1(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) ) )
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( relstr_set_smaller(X1,X2,X4)
& ! [X5] :
( element(X5,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X5)
=> related(X1,X4,X5) ) ) )
=> X4 = X3 ) ) ) ) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom1(X1)
| one_sorted_str(X1) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_2,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_3,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_4,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_5,axiom,
! [X1] :
( lhs_atom1(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) ) )
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( relstr_set_smaller(X1,X2,X4)
& ! [X5] :
( element(X5,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X5)
=> related(X1,X4,X5) ) ) )
=> X4 = X3 ) ) ) ) ),
c_0_0 ).
fof(c_0_6,axiom,
! [X1] :
( lhs_atom1(X1)
| one_sorted_str(X1) ),
c_0_1 ).
fof(c_0_7,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_8,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_9,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_10,plain,
! [X6,X7,X9,X10,X12,X13,X16] :
( ( element(esk1_2(X6,X7),the_carrier(X6))
| ~ ex_sup_of_relstr_set(X6,X7)
| lhs_atom1(X6) )
& ( relstr_set_smaller(X6,X7,esk1_2(X6,X7))
| ~ ex_sup_of_relstr_set(X6,X7)
| lhs_atom1(X6) )
& ( ~ element(X9,the_carrier(X6))
| ~ relstr_set_smaller(X6,X7,X9)
| related(X6,esk1_2(X6,X7),X9)
| ~ ex_sup_of_relstr_set(X6,X7)
| lhs_atom1(X6) )
& ( element(esk2_3(X6,X7,X10),the_carrier(X6))
| ~ relstr_set_smaller(X6,X7,X10)
| X10 = esk1_2(X6,X7)
| ~ element(X10,the_carrier(X6))
| ~ ex_sup_of_relstr_set(X6,X7)
| lhs_atom1(X6) )
& ( relstr_set_smaller(X6,X7,esk2_3(X6,X7,X10))
| ~ relstr_set_smaller(X6,X7,X10)
| X10 = esk1_2(X6,X7)
| ~ element(X10,the_carrier(X6))
| ~ ex_sup_of_relstr_set(X6,X7)
| lhs_atom1(X6) )
& ( ~ related(X6,X10,esk2_3(X6,X7,X10))
| ~ relstr_set_smaller(X6,X7,X10)
| X10 = esk1_2(X6,X7)
| ~ element(X10,the_carrier(X6))
| ~ ex_sup_of_relstr_set(X6,X7)
| lhs_atom1(X6) )
& ( element(esk4_3(X6,X12,X13),the_carrier(X6))
| element(esk3_3(X6,X12,X13),the_carrier(X6))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( relstr_set_smaller(X6,X12,esk4_3(X6,X12,X13))
| element(esk3_3(X6,X12,X13),the_carrier(X6))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( ~ element(X16,the_carrier(X6))
| ~ relstr_set_smaller(X6,X12,X16)
| related(X6,esk4_3(X6,X12,X13),X16)
| element(esk3_3(X6,X12,X13),the_carrier(X6))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( esk4_3(X6,X12,X13) != X13
| element(esk3_3(X6,X12,X13),the_carrier(X6))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( element(esk4_3(X6,X12,X13),the_carrier(X6))
| relstr_set_smaller(X6,X12,esk3_3(X6,X12,X13))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( relstr_set_smaller(X6,X12,esk4_3(X6,X12,X13))
| relstr_set_smaller(X6,X12,esk3_3(X6,X12,X13))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( ~ element(X16,the_carrier(X6))
| ~ relstr_set_smaller(X6,X12,X16)
| related(X6,esk4_3(X6,X12,X13),X16)
| relstr_set_smaller(X6,X12,esk3_3(X6,X12,X13))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( esk4_3(X6,X12,X13) != X13
| relstr_set_smaller(X6,X12,esk3_3(X6,X12,X13))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( element(esk4_3(X6,X12,X13),the_carrier(X6))
| ~ related(X6,X13,esk3_3(X6,X12,X13))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( relstr_set_smaller(X6,X12,esk4_3(X6,X12,X13))
| ~ related(X6,X13,esk3_3(X6,X12,X13))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( ~ element(X16,the_carrier(X6))
| ~ relstr_set_smaller(X6,X12,X16)
| related(X6,esk4_3(X6,X12,X13),X16)
| ~ related(X6,X13,esk3_3(X6,X12,X13))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) )
& ( esk4_3(X6,X12,X13) != X13
| ~ related(X6,X13,esk3_3(X6,X12,X13))
| ~ relstr_set_smaller(X6,X12,X13)
| ~ element(X13,the_carrier(X6))
| ex_sup_of_relstr_set(X6,X12)
| lhs_atom1(X6) ) ),
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_5])])])])])]) ).
fof(c_0_11,plain,
! [X2] :
( lhs_atom1(X2)
| one_sorted_str(X2) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
lhs_atom2,
c_0_7 ).
fof(c_0_13,plain,
lhs_atom2,
c_0_8 ).
fof(c_0_14,plain,
lhs_atom2,
c_0_9 ).
cnf(c_0_15,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| related(X1,esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| related(X1,esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk3_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| related(X1,esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk3_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| esk4_3(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| element(esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,plain,
( lhs_atom1(X1)
| X3 = esk1_2(X1,X2)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| element(esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| esk4_3(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| esk4_3(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,plain,
( lhs_atom1(X1)
| X3 = esk1_2(X1,X2)
| relstr_set_smaller(X1,X2,esk2_3(X1,X2,X3))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,plain,
( lhs_atom1(X1)
| X3 = esk1_2(X1,X2)
| element(esk2_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(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,plain,
( lhs_atom1(X1)
| related(X1,esk1_2(X1,X2),X3)
| ~ 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_10]) ).
cnf(c_0_31,plain,
( lhs_atom1(X1)
| relstr_set_smaller(X1,X2,esk1_2(X1,X2))
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,plain,
( lhs_atom1(X1)
| element(esk1_2(X1,X2),the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,plain,
( one_sorted_str(X1)
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_36,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| related(X1,esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
c_0_15,
[final] ).
cnf(c_0_38,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| related(X1,esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
c_0_16,
[final] ).
cnf(c_0_39,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk3_3(X1,X2,X3)) ),
c_0_17,
[final] ).
cnf(c_0_40,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| related(X1,esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
c_0_18,
[final] ).
cnf(c_0_41,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk3_3(X1,X2,X3)) ),
c_0_19,
[final] ).
cnf(c_0_42,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk3_3(X1,X2,X3))
| esk4_3(X1,X2,X3) != X3 ),
c_0_20,
[final] ).
cnf(c_0_43,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
c_0_21,
[final] ).
cnf(c_0_44,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
c_0_22,
[final] ).
cnf(c_0_45,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| element(esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
c_0_23,
[final] ).
cnf(c_0_46,plain,
( lhs_atom1(X1)
| X3 = esk1_2(X1,X2)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,esk2_3(X1,X2,X3)) ),
c_0_24,
[final] ).
cnf(c_0_47,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| element(esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
c_0_25,
[final] ).
cnf(c_0_48,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk3_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| esk4_3(X1,X2,X3) != X3 ),
c_0_26,
[final] ).
cnf(c_0_49,plain,
( lhs_atom1(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| esk4_3(X1,X2,X3) != X3 ),
c_0_27,
[final] ).
cnf(c_0_50,plain,
( lhs_atom1(X1)
| X3 = esk1_2(X1,X2)
| relstr_set_smaller(X1,X2,esk2_3(X1,X2,X3))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
c_0_28,
[final] ).
cnf(c_0_51,plain,
( lhs_atom1(X1)
| X3 = esk1_2(X1,X2)
| element(esk2_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) ),
c_0_29,
[final] ).
cnf(c_0_52,plain,
( lhs_atom1(X1)
| related(X1,esk1_2(X1,X2),X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
c_0_30,
[final] ).
cnf(c_0_53,plain,
( lhs_atom1(X1)
| relstr_set_smaller(X1,X2,esk1_2(X1,X2))
| ~ ex_sup_of_relstr_set(X1,X2) ),
c_0_31,
[final] ).
cnf(c_0_54,plain,
( lhs_atom1(X1)
| element(esk1_2(X1,X2),the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2) ),
c_0_32,
[final] ).
cnf(c_0_55,plain,
( one_sorted_str(X1)
| lhs_atom1(X1) ),
c_0_33,
[final] ).
cnf(c_0_56,plain,
lhs_atom2,
c_0_34,
[final] ).
cnf(c_0_57,plain,
lhs_atom2,
c_0_35,
[final] ).
cnf(c_0_58,plain,
lhs_atom2,
c_0_36,
[final] ).
% End CNF derivation
cnf(c_0_37_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| related(X1,sk1_esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,sk1_esk3_3(X1,X2,X3))
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_37,def_lhs_atom1]) ).
cnf(c_0_38_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,sk1_esk3_3(X1,X2,X3))
| related(X1,sk1_esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_38,def_lhs_atom1]) ).
cnf(c_0_39_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,sk1_esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,sk1_esk3_3(X1,X2,X3)) ),
inference(unfold_definition,[status(thm)],[c_0_39,def_lhs_atom1]) ).
cnf(c_0_40_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(sk1_esk3_3(X1,X2,X3),the_carrier(X1))
| related(X1,sk1_esk4_3(X1,X2,X3),X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_40,def_lhs_atom1]) ).
cnf(c_0_41_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(sk1_esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,sk1_esk3_3(X1,X2,X3)) ),
inference(unfold_definition,[status(thm)],[c_0_41,def_lhs_atom1]) ).
cnf(c_0_42_0,axiom,
( ~ 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_esk3_3(X1,X2,X3))
| sk1_esk4_3(X1,X2,X3) != X3 ),
inference(unfold_definition,[status(thm)],[c_0_42,def_lhs_atom1]) ).
cnf(c_0_43_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,sk1_esk3_3(X1,X2,X3))
| relstr_set_smaller(X1,X2,sk1_esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_43,def_lhs_atom1]) ).
cnf(c_0_44_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(sk1_esk3_3(X1,X2,X3),the_carrier(X1))
| relstr_set_smaller(X1,X2,sk1_esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_44,def_lhs_atom1]) ).
cnf(c_0_45_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,sk1_esk3_3(X1,X2,X3))
| element(sk1_esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_45,def_lhs_atom1]) ).
cnf(c_0_46_0,axiom,
( ~ rel_str(X1)
| X3 = sk1_esk1_2(X1,X2)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ related(X1,X3,sk1_esk2_3(X1,X2,X3)) ),
inference(unfold_definition,[status(thm)],[c_0_46,def_lhs_atom1]) ).
cnf(c_0_47_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(sk1_esk3_3(X1,X2,X3),the_carrier(X1))
| element(sk1_esk4_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_47,def_lhs_atom1]) ).
cnf(c_0_48_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,sk1_esk3_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| sk1_esk4_3(X1,X2,X3) != X3 ),
inference(unfold_definition,[status(thm)],[c_0_48,def_lhs_atom1]) ).
cnf(c_0_49_0,axiom,
( ~ rel_str(X1)
| ex_sup_of_relstr_set(X1,X2)
| element(sk1_esk3_3(X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| sk1_esk4_3(X1,X2,X3) != X3 ),
inference(unfold_definition,[status(thm)],[c_0_49,def_lhs_atom1]) ).
cnf(c_0_50_0,axiom,
( ~ rel_str(X1)
| X3 = sk1_esk1_2(X1,X2)
| relstr_set_smaller(X1,X2,sk1_esk2_3(X1,X2,X3))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_50,def_lhs_atom1]) ).
cnf(c_0_51_0,axiom,
( ~ rel_str(X1)
| X3 = sk1_esk1_2(X1,X2)
| element(sk1_esk2_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(unfold_definition,[status(thm)],[c_0_51,def_lhs_atom1]) ).
cnf(c_0_52_0,axiom,
( ~ rel_str(X1)
| related(X1,sk1_esk1_2(X1,X2),X3)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_52,def_lhs_atom1]) ).
cnf(c_0_53_0,axiom,
( ~ rel_str(X1)
| relstr_set_smaller(X1,X2,sk1_esk1_2(X1,X2))
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_53,def_lhs_atom1]) ).
cnf(c_0_54_0,axiom,
( ~ rel_str(X1)
| element(sk1_esk1_2(X1,X2),the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_54,def_lhs_atom1]) ).
cnf(c_0_55_0,axiom,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(unfold_definition,[status(thm)],[c_0_55,def_lhs_atom1]) ).
cnf(c_0_56_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_56,def_lhs_atom2]) ).
cnf(c_0_57_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_57,def_lhs_atom2]) ).
cnf(c_0_58_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_58,def_lhs_atom2]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( related(X1,X2,X3)
& related(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
file('<stdin>',t25_orders_2) ).
fof(c_0_1_002,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_2_003,axiom,
? [X1] : rel_str(X1),
file('<stdin>',existence_l1_orders_2) ).
fof(c_0_3_004,axiom,
? [X1] : one_sorted_str(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_4_005,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( related(X1,X2,X3)
& related(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
c_0_0 ).
fof(c_0_5_006,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_1 ).
fof(c_0_6_007,axiom,
? [X1] : rel_str(X1),
c_0_2 ).
fof(c_0_7_008,axiom,
? [X1] : one_sorted_str(X1),
c_0_3 ).
fof(c_0_8_009,plain,
! [X4,X5,X6] :
( ~ antisymmetric_relstr(X4)
| ~ rel_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| ~ related(X4,X5,X6)
| ~ related(X4,X6,X5)
| X5 = X6 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_9_010,plain,
! [X3] : element(esk1_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_5])]) ).
fof(c_0_10_011,plain,
rel_str(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
fof(c_0_11_012,plain,
one_sorted_str(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_7])]) ).
cnf(c_0_12_013,plain,
( X1 = X2
| ~ related(X3,X2,X1)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13_014,plain,
element(esk1_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14_015,plain,
rel_str(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15_016,plain,
one_sorted_str(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16_017,plain,
( X1 = X2
| ~ related(X3,X2,X1)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3) ),
c_0_12,
[final] ).
cnf(c_0_17_018,plain,
element(esk1_1(X1),X1),
c_0_13,
[final] ).
cnf(c_0_18_019,plain,
rel_str(esk3_0),
c_0_14,
[final] ).
cnf(c_0_19_020,plain,
one_sorted_str(esk2_0),
c_0_15,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_16_0,axiom,
( X1 = X2
| ~ related(X3,X2,X1)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_1,axiom,
( ~ related(X3,X2,X1)
| X1 = X2
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_2,axiom,
( ~ related(X3,X1,X2)
| ~ related(X3,X2,X1)
| X1 = X2
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_3,axiom,
( ~ element(X2,the_carrier(X3))
| ~ related(X3,X1,X2)
| ~ related(X3,X2,X1)
| X1 = X2
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_4,axiom,
( ~ element(X1,the_carrier(X3))
| ~ element(X2,the_carrier(X3))
| ~ related(X3,X1,X2)
| ~ related(X3,X2,X1)
| X1 = X2
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_5,axiom,
( ~ rel_str(X3)
| ~ element(X1,the_carrier(X3))
| ~ element(X2,the_carrier(X3))
| ~ related(X3,X1,X2)
| ~ related(X3,X2,X1)
| X1 = X2
| ~ antisymmetric_relstr(X3) ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_16_6,axiom,
( ~ antisymmetric_relstr(X3)
| ~ rel_str(X3)
| ~ element(X1,the_carrier(X3))
| ~ element(X2,the_carrier(X3))
| ~ related(X3,X1,X2)
| ~ related(X3,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_16]) ).
cnf(c_0_17_0,axiom,
element(sk2_esk1_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_17]) ).
cnf(c_0_18_0,axiom,
rel_str(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_19_0,axiom,
one_sorted_str(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_021,conjecture,
! [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_1_022,negated_conjecture,
~ ! [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) ) ) ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_023,negated_conjecture,
! [X7,X10] :
( antisymmetric_relstr(esk1_0)
& rel_str(esk1_0)
& ( element(esk3_1(X7),the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk2_0,X7)
| ~ element(X7,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk2_0) )
& ( relstr_set_smaller(esk1_0,esk2_0,esk3_1(X7))
| ~ relstr_set_smaller(esk1_0,esk2_0,X7)
| ~ element(X7,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk2_0) )
& ( ~ related(esk1_0,X7,esk3_1(X7))
| ~ relstr_set_smaller(esk1_0,esk2_0,X7)
| ~ element(X7,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk2_0) )
& ( element(esk4_0,the_carrier(esk1_0))
| ex_sup_of_relstr_set(esk1_0,esk2_0) )
& ( relstr_set_smaller(esk1_0,esk2_0,esk4_0)
| ex_sup_of_relstr_set(esk1_0,esk2_0) )
& ( ~ element(X10,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk2_0,X10)
| related(esk1_0,esk4_0,X10)
| ex_sup_of_relstr_set(esk1_0,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3_024,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,esk2_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk2_0,X1)
| ~ related(esk1_0,X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_025,negated_conjecture,
( relstr_set_smaller(esk1_0,esk2_0,esk3_1(X1))
| ~ ex_sup_of_relstr_set(esk1_0,esk2_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_026,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk2_0)
| related(esk1_0,esk4_0,X1)
| ~ relstr_set_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_027,negated_conjecture,
( element(esk3_1(X1),the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk2_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_028,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk2_0)
| relstr_set_smaller(esk1_0,esk2_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_029,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_030,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_031,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11_032,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk1_0,esk2_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk2_0,X1)
| ~ related(esk1_0,X1,esk3_1(X1)) ),
c_0_3,
[final] ).
cnf(c_0_12_033,negated_conjecture,
( relstr_set_smaller(esk1_0,esk2_0,esk3_1(X1))
| ~ ex_sup_of_relstr_set(esk1_0,esk2_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk2_0,X1) ),
c_0_4,
[final] ).
cnf(c_0_13_034,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk2_0)
| related(esk1_0,esk4_0,X1)
| ~ relstr_set_smaller(esk1_0,esk2_0,X1)
| ~ element(X1,the_carrier(esk1_0)) ),
c_0_5,
[final] ).
cnf(c_0_14_035,negated_conjecture,
( element(esk3_1(X1),the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,esk2_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk2_0,X1) ),
c_0_6,
[final] ).
cnf(c_0_15_036,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk2_0)
| relstr_set_smaller(esk1_0,esk2_0,esk4_0) ),
c_0_7,
[final] ).
cnf(c_0_16_037,negated_conjecture,
( ex_sup_of_relstr_set(esk1_0,esk2_0)
| element(esk4_0,the_carrier(esk1_0)) ),
c_0_8,
[final] ).
cnf(c_0_17_038,negated_conjecture,
antisymmetric_relstr(esk1_0),
c_0_9,
[final] ).
cnf(c_0_18_039,negated_conjecture,
rel_str(esk1_0),
c_0_10,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_6,plain,
( X0 = X1
| ~ related(X2,X1,X0)
| ~ related(X2,X0,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ rel_str(X2)
| ~ antisymmetric_relstr(X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_16_6) ).
cnf(c_127,plain,
( X0 = X1
| ~ related(X2,X1,X0)
| ~ related(X2,X0,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ rel_str(X2)
| ~ antisymmetric_relstr(X2) ),
inference(copy,[status(esa)],[c_6]) ).
cnf(c_53370,plain,
( ~ related(sk3_esk1_0,sk3_esk4_0,X0)
| ~ related(sk3_esk1_0,X0,sk3_esk4_0)
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ antisymmetric_relstr(sk3_esk1_0)
| X0 = sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_231728,plain,
( ~ related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),sk3_esk4_0)
| ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ element(sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ antisymmetric_relstr(sk3_esk1_0)
| sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) = sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_53370]) ).
cnf(c_31,plain,
( ~ element(X0,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ related(X1,X3,sk1_esk3_3(X1,X2,X3))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| related(X1,sk1_esk4_3(X1,X2,X3),X0)
| ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_37_0) ).
cnf(c_152,plain,
( ~ element(X0,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ related(X1,X3,sk1_esk3_3(X1,X2,X3))
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| related(X1,sk1_esk4_3(X1,X2,X3),X0)
| ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
inference(copy,[status(esa)],[c_31]) ).
cnf(c_53399,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,X0,X1),sk3_esk4_0)
| ~ related(sk3_esk1_0,X1,sk1_esk3_3(sk3_esk1_0,X0,X1))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ element(X1,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_53548,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0),sk3_esk4_0)
| ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53399]) ).
cnf(c_53790,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),sk3_esk4_0)
| ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53548]) ).
cnf(c_30,plain,
( ~ element(X0,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| related(X1,sk1_esk4_3(X1,X2,X3),X0)
| relstr_set_smaller(X1,X2,sk1_esk3_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_38_0) ).
cnf(c_151,plain,
( ~ element(X0,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| related(X1,sk1_esk4_3(X1,X2,X3),X0)
| relstr_set_smaller(X1,X2,sk1_esk3_3(X1,X2,X3))
| ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
inference(copy,[status(esa)],[c_30]) ).
cnf(c_53400,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,X0,X1),sk3_esk4_0)
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ element(X1,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| relstr_set_smaller(sk3_esk1_0,X0,sk1_esk3_3(sk3_esk1_0,X0,X1))
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_53558,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0),sk3_esk4_0)
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| relstr_set_smaller(sk3_esk1_0,X0,sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53400]) ).
cnf(c_53789,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),sk3_esk4_0)
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53558]) ).
cnf(c_28,plain,
( ~ element(X0,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| related(X1,sk1_esk4_3(X1,X2,X3),X0)
| element(sk1_esk3_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_40_0) ).
cnf(c_149,plain,
( ~ element(X0,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| related(X1,sk1_esk4_3(X1,X2,X3),X0)
| element(sk1_esk3_3(X1,X2,X3),the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1) ),
inference(copy,[status(esa)],[c_28]) ).
cnf(c_53401,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,X0,X1),sk3_esk4_0)
| element(sk1_esk3_3(sk3_esk1_0,X0,X1),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ element(X1,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_53538,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0),sk3_esk4_0)
| element(sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53401]) ).
cnf(c_53788,plain,
( related(sk3_esk1_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),sk3_esk4_0)
| element(sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53538]) ).
cnf(c_34,negated_conjecture,
( related(sk3_esk1_0,sk3_esk4_0,X0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_13) ).
cnf(c_69,negated_conjecture,
( related(sk3_esk1_0,sk3_esk4_0,X0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_34]) ).
cnf(c_99,negated_conjecture,
( related(sk3_esk1_0,sk3_esk4_0,X0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_69]) ).
cnf(c_110,negated_conjecture,
( related(sk3_esk1_0,sk3_esk4_0,X0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_99]) ).
cnf(c_113,negated_conjecture,
( related(sk3_esk1_0,sk3_esk4_0,X0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_110]) ).
cnf(c_153,negated_conjecture,
( related(sk3_esk1_0,sk3_esk4_0,X0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_113]) ).
cnf(c_53758,plain,
( related(sk3_esk1_0,sk3_esk4_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ element(sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0)) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_53685,plain,
( related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ element(sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0)) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_20,plain,
( sk1_esk4_3(X0,X1,X2) != X2
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| relstr_set_smaller(X0,X1,sk1_esk3_3(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_48_0) ).
cnf(c_141,plain,
( sk1_esk4_3(X0,X1,X2) != X2
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| relstr_set_smaller(X0,X1,sk1_esk3_3(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_20]) ).
cnf(c_53387,plain,
( ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| relstr_set_smaller(sk3_esk1_0,X0,sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0)
| sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0) != sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_53526,plain,
( ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0)
| sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) != sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_53387]) ).
cnf(c_23,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| element(sk1_esk4_3(X0,X1,X2),the_carrier(X0))
| relstr_set_smaller(X0,X1,sk1_esk3_3(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_45_0) ).
cnf(c_144,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| element(sk1_esk4_3(X0,X1,X2),the_carrier(X0))
| relstr_set_smaller(X0,X1,sk1_esk3_3(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_23]) ).
cnf(c_53386,plain,
( element(sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| relstr_set_smaller(sk3_esk1_0,X0,sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_53525,plain,
( element(sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53386]) ).
cnf(c_24,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| relstr_set_smaller(X0,X1,sk1_esk4_3(X0,X1,X2))
| element(sk1_esk3_3(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_44_0) ).
cnf(c_145,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| relstr_set_smaller(X0,X1,sk1_esk4_3(X0,X1,X2))
| element(sk1_esk3_3(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_53385,plain,
( element(sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| relstr_set_smaller(sk3_esk1_0,X0,sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_53524,plain,
( element(sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53385]) ).
cnf(c_25,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| relstr_set_smaller(X0,X1,sk1_esk4_3(X0,X1,X2))
| relstr_set_smaller(X0,X1,sk1_esk3_3(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_43_0) ).
cnf(c_146,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| relstr_set_smaller(X0,X1,sk1_esk4_3(X0,X1,X2))
| relstr_set_smaller(X0,X1,sk1_esk3_3(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_25]) ).
cnf(c_53383,plain,
( ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| relstr_set_smaller(sk3_esk1_0,X0,sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0))
| relstr_set_smaller(sk3_esk1_0,X0,sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_53523,plain,
( ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53383]) ).
cnf(c_29,plain,
( ~ related(X0,X1,sk1_esk3_3(X0,X2,X1))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| relstr_set_smaller(X0,X2,sk1_esk4_3(X0,X2,X1))
| ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_39_0) ).
cnf(c_150,plain,
( ~ related(X0,X1,sk1_esk3_3(X0,X2,X1))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| relstr_set_smaller(X0,X2,sk1_esk4_3(X0,X2,X1))
| ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_29]) ).
cnf(c_53374,plain,
( ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| relstr_set_smaller(sk3_esk1_0,X0,sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_53522,plain,
( ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53374]) ).
cnf(c_19,plain,
( sk1_esk4_3(X0,X1,X2) != X2
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| element(sk1_esk3_3(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_49_0) ).
cnf(c_140,plain,
( sk1_esk4_3(X0,X1,X2) != X2
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| element(sk1_esk3_3(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_19]) ).
cnf(c_53389,plain,
( element(sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0)
| sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0) != sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_53521,plain,
( element(sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0)
| sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) != sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_53389]) ).
cnf(c_21,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| element(sk1_esk4_3(X0,X1,X2),the_carrier(X0))
| element(sk1_esk3_3(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_47_0) ).
cnf(c_142,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| element(sk1_esk4_3(X0,X1,X2),the_carrier(X0))
| element(sk1_esk3_3(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_53388,plain,
( element(sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| element(sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_53520,plain,
( element(sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| element(sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53388]) ).
cnf(c_26,plain,
( sk1_esk4_3(X0,X1,X2) != X2
| ~ related(X0,X2,sk1_esk3_3(X0,X1,X2))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_42_0) ).
cnf(c_147,plain,
( sk1_esk4_3(X0,X1,X2) != X2
| ~ related(X0,X2,sk1_esk3_3(X0,X1,X2))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_26]) ).
cnf(c_53384,plain,
( ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0)
| sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0) != sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_53519,plain,
( ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0)
| sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) != sk3_esk4_0 ),
inference(instantiation,[status(thm)],[c_53384]) ).
cnf(c_27,plain,
( ~ related(X0,X1,sk1_esk3_3(X0,X2,X1))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| element(sk1_esk4_3(X0,X2,X1),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_41_0) ).
cnf(c_148,plain,
( ~ related(X0,X1,sk1_esk3_3(X0,X2,X1))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| element(sk1_esk4_3(X0,X2,X1),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_27]) ).
cnf(c_53375,plain,
( ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,X0,sk3_esk4_0))
| element(sk1_esk4_3(sk3_esk1_0,X0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,X0)
| ~ relstr_set_smaller(sk3_esk1_0,X0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_53516,plain,
( ~ related(sk3_esk1_0,sk3_esk4_0,sk1_esk3_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0))
| element(sk1_esk4_3(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0),the_carrier(sk3_esk1_0))
| ~ element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_53375]) ).
cnf(c_16,plain,
( ~ element(X0,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ ex_sup_of_relstr_set(X1,X2)
| related(X1,sk1_esk1_2(X1,X2),X0)
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_52_0) ).
cnf(c_137,plain,
( ~ element(X0,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ ex_sup_of_relstr_set(X1,X2)
| related(X1,sk1_esk1_2(X1,X2),X0)
| ~ rel_str(X1) ),
inference(copy,[status(esa)],[c_16]) ).
cnf(c_53136,plain,
( related(sk3_esk1_0,sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),X0)
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_53309,plain,
( related(sk3_esk1_0,sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),sk3_esk3_1(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0)))
| ~ element(sk3_esk3_1(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0)),the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk3_1(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0))) ),
inference(instantiation,[status(thm)],[c_53136]) ).
cnf(c_32,negated_conjecture,
( ~ related(sk3_esk1_0,X0,sk3_esk3_1(X0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_11) ).
cnf(c_65,negated_conjecture,
( ~ related(sk3_esk1_0,X0,sk3_esk3_1(X0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_32]) ).
cnf(c_97,negated_conjecture,
( ~ related(sk3_esk1_0,X0,sk3_esk3_1(X0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_65]) ).
cnf(c_112,negated_conjecture,
( ~ related(sk3_esk1_0,X0,sk3_esk3_1(X0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_97]) ).
cnf(c_119,negated_conjecture,
( ~ related(sk3_esk1_0,X0,sk3_esk3_1(X0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_112]) ).
cnf(c_159,negated_conjecture,
( ~ related(sk3_esk1_0,X0,sk3_esk3_1(X0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_119]) ).
cnf(c_53219,plain,
( ~ related(sk3_esk1_0,sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),sk3_esk3_1(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0)))
| ~ element(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk1_2(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_33,negated_conjecture,
( ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk3_1(X0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_12) ).
cnf(c_67,negated_conjecture,
( ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk3_1(X0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_33]) ).
cnf(c_98,negated_conjecture,
( ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk3_1(X0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_111,negated_conjecture,
( ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk3_1(X0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_98]) ).
cnf(c_120,negated_conjecture,
( ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk3_1(X0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_111]) ).
cnf(c_160,negated_conjecture,
( ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk3_1(X0))
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_120]) ).
cnf(c_53220,plain,
( ~ element(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk1_2(sk3_esk1_0,sk3_esk2_0))
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk3_1(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0))) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_35,negated_conjecture,
( element(sk3_esk3_1(X0),the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_14) ).
cnf(c_71,negated_conjecture,
( element(sk3_esk3_1(X0),the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_35]) ).
cnf(c_100,negated_conjecture,
( element(sk3_esk3_1(X0),the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_71]) ).
cnf(c_109,negated_conjecture,
( element(sk3_esk3_1(X0),the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_100]) ).
cnf(c_114,negated_conjecture,
( element(sk3_esk3_1(X0),the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_109]) ).
cnf(c_154,negated_conjecture,
( element(sk3_esk3_1(X0),the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,X0) ),
inference(copy,[status(esa)],[c_114]) ).
cnf(c_53221,plain,
( ~ element(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),the_carrier(sk3_esk1_0))
| element(sk3_esk3_1(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0)),the_carrier(sk3_esk1_0))
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| ~ relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk1_2(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_154]) ).
cnf(c_15,plain,
( ~ ex_sup_of_relstr_set(X0,X1)
| relstr_set_smaller(X0,X1,sk1_esk1_2(X0,X1))
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_53_0) ).
cnf(c_136,plain,
( ~ ex_sup_of_relstr_set(X0,X1)
| relstr_set_smaller(X0,X1,sk1_esk1_2(X0,X1))
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_15]) ).
cnf(c_53135,plain,
( ~ rel_str(sk3_esk1_0)
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk1_esk1_2(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_14,plain,
( ~ ex_sup_of_relstr_set(X0,X1)
| element(sk1_esk1_2(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_54_0) ).
cnf(c_135,plain,
( ~ ex_sup_of_relstr_set(X0,X1)
| element(sk1_esk1_2(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_14]) ).
cnf(c_53134,plain,
( element(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_36,negated_conjecture,
( ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0)
| relstr_set_smaller(sk3_esk1_0,sk3_esk2_0,sk3_esk4_0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_15) ).
cnf(c_37,negated_conjecture,
( element(sk3_esk4_0,the_carrier(sk3_esk1_0))
| ex_sup_of_relstr_set(sk3_esk1_0,sk3_esk2_0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_16) ).
cnf(c_38,negated_conjecture,
antisymmetric_relstr(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_17) ).
cnf(c_39,negated_conjecture,
rel_str(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p',c_0_18) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_231728,c_53790,c_53789,c_53788,c_53758,c_53685,c_53526,c_53525,c_53524,c_53523,c_53522,c_53521,c_53520,c_53519,c_53516,c_53309,c_53219,c_53220,c_53221,c_53135,c_53134,c_36,c_37,c_38,c_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU356+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 00:37:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.20/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40 % FOF problem with conjecture
% 0.20/0.40 % 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_ed5a1d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_9a5bf6.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_5e008e | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 0.20/0.43 % --inst_prop_sim_new false
% 0.20/0.43 % --inst_orphan_elimination true
% 0.20/0.43 % --inst_learning_loop_flag true
% 0.20/0.43 % --inst_learning_start 3000
% 0.20/0.43 % --inst_learning_factor 2
% 0.20/0.43 % --inst_start_prop_sim_after_learn 3
% 0.20/0.43 % --inst_sel_renew solver
% 0.20/0.43 % --inst_lit_activity_flag true
% 0.20/0.43 % --inst_out_proof true
% 0.20/0.43
% 0.20/0.43 % ------ Resolution Options
% 0.20/0.43
% 0.20/0.43 % --resolution_flag true
% 0.20/0.43 % --res_lit_sel kbo_max
% 0.20/0.43 % --res_to_prop_solver none
% 0.20/0.43 % --res_prop_simpl_new false
% 0.20/0.43 % --res_prop_simpl_given false
% 0.20/0.43 % --res_passive_queue_type priority_queues
% 0.20/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43 % --res_passive_queues_freq [15;5]
% 0.20/0.43 % --res_forward_subs full
% 0.20/0.43 % --res_backward_subs full
% 0.20/0.43 % --res_forward_subs_resolution true
% 0.20/0.43 % --res_backward_subs_resolution true
% 0.20/0.43 % --res_orphan_elimination false
% 0.20/0.43 % --res_time_limit 1000.
% 0.20/0.43 % --res_out_proof true
% 0.20/0.43 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_ed5a1d.s
% 0.20/0.43 % --modulo true
% 0.20/0.43
% 0.20/0.43 % ------ Combination Options
% 0.20/0.43
% 0.20/0.43 % --comb_res_mult 1000
% 0.20/0.43 % --comb_inst_mult 300
% 0.20/0.43 % ------
% 0.20/0.43
% 0.20/0.43 % ------ Parsing...% successful
% 0.20/0.43
% 0.20/0.43 % ------ 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 %
% 0.20/0.43
% 0.20/0.43 % ------ Proving...
% 0.20/0.43 % ------ Problem Properties
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % EPR false
% 0.20/0.43 % Horn false
% 0.20/0.43 % Has equality true
% 0.20/0.43
% 0.20/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % % ------ Current options:
% 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
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 24.82/25.03 % --inst_prop_sim_new false
% 24.82/25.03 % --inst_orphan_elimination true
% 24.82/25.03 % --inst_learning_loop_flag true
% 24.82/25.03 % --inst_learning_start 3000
% 24.82/25.03 % --inst_learning_factor 2
% 24.82/25.03 % --inst_start_prop_sim_after_learn 3
% 24.82/25.03 % --inst_sel_renew solver
% 24.82/25.03 % --inst_lit_activity_flag true
% 24.82/25.03 % --inst_out_proof true
% 24.82/25.03
% 24.82/25.03 % ------ Resolution Options
% 24.82/25.03
% 24.82/25.03 % --resolution_flag true
% 24.82/25.03 % --res_lit_sel kbo_max
% 24.82/25.03 % --res_to_prop_solver none
% 24.82/25.03 % --res_prop_simpl_new false
% 24.82/25.03 % --res_prop_simpl_given false
% 24.82/25.03 % --res_passive_queue_type priority_queues
% 24.82/25.03 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 24.82/25.03 % --res_passive_queues_freq [15;5]
% 24.82/25.03 % --res_forward_subs full
% 24.82/25.03 % --res_backward_subs full
% 24.82/25.03 % --res_forward_subs_resolution true
% 24.82/25.03 % --res_backward_subs_resolution true
% 24.82/25.03 % --res_orphan_elimination false
% 24.82/25.03 % --res_time_limit 1000.
% 24.82/25.03 % --res_out_proof true
% 24.82/25.03 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_ed5a1d.s
% 24.82/25.03 % --modulo true
% 24.82/25.03
% 24.82/25.03 % ------ Combination Options
% 24.82/25.03
% 24.82/25.03 % --comb_res_mult 1000
% 24.82/25.03 % --comb_inst_mult 300
% 24.82/25.03 % ------
% 24.82/25.03
% 24.82/25.03
% 24.82/25.03
% 24.82/25.03 % ------ Proving...
% 24.82/25.03 %
% 24.82/25.03
% 24.82/25.03
% 24.82/25.03 % ------ Statistics
% 24.82/25.03
% 24.82/25.03 % ------ General
% 24.82/25.03
% 24.82/25.03 % num_of_input_clauses: 40
% 24.82/25.03 % num_of_input_neg_conjectures: 8
% 24.82/25.03 % num_of_splits: 0
% 24.82/25.03 % num_of_split_atoms: 0
% 24.82/25.03 % num_of_sem_filtered_clauses: 0
% 24.82/25.03 % num_of_subtypes: 0
% 24.82/25.03 % monotx_restored_types: 0
% 24.82/25.03 % sat_num_of_epr_types: 0
% 24.82/25.03 % sat_num_of_non_cyclic_types: 0
% 24.82/25.03 % sat_guarded_non_collapsed_types: 0
% 24.82/25.03 % is_epr: 0
% 24.82/25.03 % is_horn: 0
% 24.82/25.03 % has_eq: 1
% 24.82/25.03 % num_pure_diseq_elim: 0
% 24.82/25.03 % simp_replaced_by: 0
% 24.82/25.03 % res_preprocessed: 16
% 24.82/25.03 % prep_upred: 0
% 24.82/25.03 % prep_unflattend: 0
% 24.82/25.03 % pred_elim_cands: 0
% 24.82/25.03 % pred_elim: 0
% 24.82/25.03 % pred_elim_cl: 0
% 24.82/25.03 % pred_elim_cycles: 0
% 24.82/25.03 % forced_gc_time: 0
% 24.82/25.03 % gc_basic_clause_elim: 0
% 24.82/25.03 % parsing_time: 0.002
% 24.82/25.03 % sem_filter_time: 0.
% 24.82/25.03 % pred_elim_time: 0.
% 24.82/25.03 % out_proof_time: 0.003
% 24.82/25.03 % monotx_time: 0.
% 24.82/25.03 % subtype_inf_time: 0.
% 24.82/25.03 % unif_index_cands_time: 0.013
% 24.82/25.03 % unif_index_add_time: 0.005
% 24.82/25.03 % total_time: 24.623
% 24.82/25.03 % num_of_symbols: 44
% 24.82/25.03 % num_of_terms: 3161
% 24.82/25.03
% 24.82/25.03 % ------ Propositional Solver
% 24.82/25.03
% 24.82/25.03 % prop_solver_calls: 11
% 24.82/25.03 % prop_fast_solver_calls: 66
% 24.82/25.03 % prop_num_of_clauses: 913
% 24.82/25.03 % prop_preprocess_simplified: 1120
% 24.82/25.03 % prop_fo_subsumed: 0
% 24.82/25.03 % prop_solver_time: 0.
% 24.82/25.03 % prop_fast_solver_time: 0.
% 24.82/25.03 % prop_unsat_core_time: 0.
% 24.82/25.03
% 24.82/25.03 % ------ QBF
% 24.82/25.03
% 24.82/25.03 % qbf_q_res: 0
% 24.82/25.03 % qbf_num_tautologies: 0
% 24.82/25.03 % qbf_prep_cycles: 0
% 24.82/25.03
% 24.82/25.03 % ------ BMC1
% 24.82/25.03
% 24.82/25.03 % bmc1_current_bound: -1
% 24.82/25.03 % bmc1_last_solved_bound: -1
% 24.82/25.03 % bmc1_unsat_core_size: -1
% 24.82/25.03 % bmc1_unsat_core_parents_size: -1
% 24.82/25.03 % bmc1_merge_next_fun: 0
% 24.82/25.03 % bmc1_unsat_core_clauses_time: 0.
% 24.82/25.03
% 24.82/25.03 % ------ Instantiation
% 24.82/25.03
% 24.82/25.03 % inst_num_of_clauses: 587
% 24.82/25.03 % inst_num_in_passive: 93
% 24.82/25.03 % inst_num_in_active: 491
% 24.82/25.03 % inst_num_in_unprocessed: 1
% 24.82/25.03 % inst_num_of_loops: 506
% 24.82/25.03 % inst_num_of_learning_restarts: 0
% 24.82/25.03 % inst_num_moves_active_passive: 7
% 24.82/25.03 % inst_lit_activity: 296
% 24.82/25.03 % inst_lit_activity_moves: 0
% 24.82/25.03 % inst_num_tautologies: 2
% 24.82/25.03 % inst_num_prop_implied: 0
% 24.82/25.03 % inst_num_existing_simplified: 0
% 24.82/25.03 % inst_num_eq_res_simplified: 0
% 24.82/25.03 % inst_num_child_elim: 0
% 24.82/25.03 % inst_num_of_dismatching_blockings: 21
% 24.82/25.03 % inst_num_of_non_proper_insts: 482
% 24.82/25.03 % inst_num_of_duplicates: 215
% 24.82/25.03 % inst_inst_num_from_inst_to_res: 0
% 24.82/25.03 % inst_dismatching_checking_time: 0.
% 24.82/25.03
% 24.82/25.03 % ------ Resolution
% 24.82/25.03
% 24.82/25.03 % res_num_of_clauses: 20477
% 24.82/25.03 % res_num_in_passive: 19195
% 24.82/25.03 % res_num_in_active: 1256
% 24.82/25.03 % res_num_of_loops: 2000
% 24.82/25.03 % res_forward_subset_subsumed: 15819
% 24.82/25.03 % res_backward_subset_subsumed: 0
% 24.82/25.03 % res_forward_subsumed: 691
% 24.82/25.03 % res_backward_subsumed: 2
% 24.82/25.03 % res_forward_subsumption_resolution: 2477
% 24.82/25.03 % res_backward_subsumption_resolution: 1
% 24.82/25.03 % res_clause_to_clause_subsumption: 257487
% 24.82/25.03 % res_orphan_elimination: 0
% 24.82/25.03 % res_tautology_del: 54414
% 24.82/25.03 % res_num_eq_res_simplified: 0
% 24.82/25.03 % res_num_sel_changes: 0
% 24.82/25.03 % res_moves_from_active_to_pass: 0
% 24.82/25.03
% 24.82/25.03 % Status Unsatisfiable
% 24.82/25.03 % SZS status Theorem
% 24.82/25.03 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------