TSTP Solution File: SET863-2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET863-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n011.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 02:18:08 EDT 2022
% Result : Unsatisfiable 11.79s 11.99s
% Output : CNFRefutation 11.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 28
% Syntax : Number of formulae : 140 ( 37 unt; 0 def)
% Number of atoms : 399 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 486 ( 227 ~; 259 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 349 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
% Start CNF derivation
% End CNF derivation
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ c_in(X1,X3,X6)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X6),tc_set(tc_set(X6)))
| ~ c_in(c_union(c_insert(X3,c_emptyset,tc_set(X6)),X4,tc_set(X6)),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X6),X2,tc_set(X6))
| c_in(X1,X2,X6) ),
file('<stdin>',cls_Zorn_Omaxchain__super__lemma_1) ).
fof(c_0_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ c_in(X1,X3,X6)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X6),tc_set(tc_set(X6)))
| ~ c_in(c_union(c_insert(X3,c_emptyset,tc_set(X6)),X4,tc_set(X6)),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6)))
| c_in(X1,X2,X6)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X6),X4,tc_set(X6)) ),
file('<stdin>',cls_Zorn_Omaxchain__super__lemma_0) ).
fof(c_0_2,axiom,
! [X1,X4,X5,X6] :
( ~ c_in(X1,X5,tc_set(X6))
| ~ c_in(X4,c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X6),X1,tc_set(X6))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X6)),X4,tc_set(X6)),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6))) ),
file('<stdin>',cls_Zorn_Ochain__extend_1) ).
fof(c_0_3,axiom,
! [X1,X4,X5,X6] :
( ~ c_in(X1,X5,tc_set(X6))
| ~ c_in(X4,c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6)))
| c_in(c_Zorn_Ochain__extend__1(X4,X1,X6),X4,tc_set(X6))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X6)),X4,tc_set(X6)),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6))) ),
file('<stdin>',cls_Zorn_Ochain__extend_0) ).
fof(c_0_4,axiom,
! [X7,X8,X6] :
( ~ c_in(c_Main_OsubsetI__1(X8,X7,X6),X7,X6)
| c_lessequals(X8,X7,tc_set(X6)) ),
file('<stdin>',cls_Set_OsubsetI_1) ).
fof(c_0_5,axiom,
! [X4,X7,X8,X6] :
( ~ c_in(X4,X8,X6)
| ~ c_lessequals(X8,X7,tc_set(X6))
| c_in(X4,X7,X6) ),
file('<stdin>',cls_Set_OsubsetD_0) ).
fof(c_0_6,axiom,
! [X7,X8,X6] :
( c_in(c_Main_OsubsetI__1(X8,X7,X6),X8,X6)
| c_lessequals(X8,X7,tc_set(X6)) ),
file('<stdin>',cls_Set_OsubsetI_0) ).
fof(c_0_7,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ c_in(X1,X3,X6)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X6),tc_set(tc_set(X6)))
| ~ c_in(c_union(c_insert(X3,c_emptyset,tc_set(X6)),X4,tc_set(X6)),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X6),X2,tc_set(X6))
| c_in(X1,X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_8,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ c_in(X1,X3,X6)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X6),tc_set(tc_set(X6)))
| ~ c_in(c_union(c_insert(X3,c_emptyset,tc_set(X6)),X4,tc_set(X6)),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6)))
| c_in(X1,X2,X6)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X6),X4,tc_set(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_9,plain,
! [X1,X4,X5,X6] :
( ~ c_in(X1,X5,tc_set(X6))
| ~ c_in(X4,c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X6),X1,tc_set(X6))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X6)),X4,tc_set(X6)),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6))) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_10,plain,
! [X1,X4,X5,X6] :
( ~ c_in(X1,X5,tc_set(X6))
| ~ c_in(X4,c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6)))
| c_in(c_Zorn_Ochain__extend__1(X4,X1,X6),X4,tc_set(X6))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X6)),X4,tc_set(X6)),c_Zorn_Ochain(X5,X6),tc_set(tc_set(X6))) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_11,plain,
! [X7,X8,X6] :
( ~ c_in(c_Main_OsubsetI__1(X8,X7,X6),X7,X6)
| c_lessequals(X8,X7,tc_set(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_12,plain,
! [X4,X7,X8,X6] :
( ~ c_in(X4,X8,X6)
| ~ c_lessequals(X8,X7,tc_set(X6))
| c_in(X4,X7,X6) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_13,axiom,
! [X7,X8,X6] :
( c_in(c_Main_OsubsetI__1(X8,X7,X6),X8,X6)
| c_lessequals(X8,X7,tc_set(X6)) ),
c_0_6 ).
fof(c_0_14,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ c_in(X7,X9,X12)
| ~ c_in(X10,c_Zorn_Omaxchain(X11,X12),tc_set(tc_set(X12)))
| ~ c_in(c_union(c_insert(X9,c_emptyset,tc_set(X12)),X10,tc_set(X12)),c_Zorn_Ochain(X11,X12),tc_set(tc_set(X12)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X10,X8,X12),X8,tc_set(X12))
| c_in(X7,X8,X12) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ c_in(X7,X9,X12)
| ~ c_in(X10,c_Zorn_Omaxchain(X11,X12),tc_set(tc_set(X12)))
| ~ c_in(c_union(c_insert(X9,c_emptyset,tc_set(X12)),X10,tc_set(X12)),c_Zorn_Ochain(X11,X12),tc_set(tc_set(X12)))
| c_in(X7,X8,X12)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X10,X8,X12),X10,tc_set(X12)) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_16,plain,
! [X7,X8,X9,X10] :
( ~ c_in(X7,X9,tc_set(X10))
| ~ c_in(X8,c_Zorn_Ochain(X9,X10),tc_set(tc_set(X10)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X8,X7,X10),X7,tc_set(X10))
| c_in(c_union(c_insert(X7,c_emptyset,tc_set(X10)),X8,tc_set(X10)),c_Zorn_Ochain(X9,X10),tc_set(tc_set(X10))) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_17,plain,
! [X7,X8,X9,X10] :
( ~ c_in(X7,X9,tc_set(X10))
| ~ c_in(X8,c_Zorn_Ochain(X9,X10),tc_set(tc_set(X10)))
| c_in(c_Zorn_Ochain__extend__1(X8,X7,X10),X8,tc_set(X10))
| c_in(c_union(c_insert(X7,c_emptyset,tc_set(X10)),X8,tc_set(X10)),c_Zorn_Ochain(X9,X10),tc_set(tc_set(X10))) ),
inference(variable_rename,[status(thm)],[c_0_10]) ).
fof(c_0_18,plain,
! [X9,X10,X11] :
( ~ c_in(c_Main_OsubsetI__1(X10,X9,X11),X9,X11)
| c_lessequals(X10,X9,tc_set(X11)) ),
inference(variable_rename,[status(thm)],[c_0_11]) ).
fof(c_0_19,plain,
! [X9,X10,X11,X12] :
( ~ c_in(X9,X11,X12)
| ~ c_lessequals(X11,X10,tc_set(X12))
| c_in(X9,X10,X12) ),
inference(variable_rename,[status(thm)],[c_0_12]) ).
fof(c_0_20,plain,
! [X9,X10,X11] :
( c_in(c_Main_OsubsetI__1(X10,X9,X11),X10,X11)
| c_lessequals(X10,X9,tc_set(X11)) ),
inference(variable_rename,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X3),X2,tc_set(X3))
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X2,X3),X1,tc_set(X3))
| c_in(X4,X2,X3)
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X1,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X3),X2,tc_set(X3))
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X5,X3) ),
c_0_21,
[final] ).
cnf(c_0_29,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X2,X3),X1,tc_set(X3))
| c_in(X4,X2,X3)
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X1,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,X5,X3) ),
c_0_22,
[final] ).
cnf(c_0_30,plain,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
c_0_23,
[final] ).
cnf(c_0_31,plain,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
c_0_24,
[final] ).
cnf(c_0_32,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
c_0_25,
[final] ).
cnf(c_0_33,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
c_0_26,
[final] ).
cnf(c_0_34,plain,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
c_0_27,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_28_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X3),X2,tc_set(X3))
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_1,axiom,
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X3),X2,tc_set(X3))
| c_in(X1,X2,X3)
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_2,axiom,
( ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X3),X2,tc_set(X3))
| c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_3,axiom,
( ~ c_in(X4,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X3),X2,tc_set(X3))
| c_in(X1,X2,X3)
| ~ c_in(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_4,axiom,
( ~ c_in(X1,X5,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X2,X3),X2,tc_set(X3))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_29_0,axiom,
( c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X2,X3),X1,tc_set(X3))
| c_in(X4,X2,X3)
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X1,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_1,axiom,
( c_in(X4,X2,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X2,X3),X1,tc_set(X3))
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X1,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_2,axiom,
( ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X1,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| c_in(X4,X2,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X2,X3),X1,tc_set(X3))
| ~ c_in(X1,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_3,axiom,
( ~ c_in(X1,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X1,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| c_in(X4,X2,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X2,X3),X1,tc_set(X3))
| ~ c_in(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_4,axiom,
( ~ c_in(X4,X5,X3)
| ~ c_in(X1,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X1,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))
| c_in(X4,X2,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X2,X3),X1,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_30_0,axiom,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_1,axiom,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_2,axiom,
( ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_3,axiom,
( ~ c_in(X1,X4,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_31_0,axiom,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_1,axiom,
( c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_2,axiom,
( ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,X4,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_3,axiom,
( ~ c_in(X1,X4,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_32_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_33_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_1,axiom,
( ~ c_lessequals(X4,X2,tc_set(X3))
| c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_34_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_1,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
! [X1] :
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
file('<stdin>',cls_conjecture_7) ).
fof(c_0_1_002,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_2_003,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_3_004,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
file('<stdin>',cls_conjecture_6) ).
fof(c_0_4_005,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('<stdin>',cls_conjecture_4) ).
fof(c_0_5_006,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
file('<stdin>',cls_conjecture_3) ).
fof(c_0_6_007,negated_conjecture,
c_in(v_xa,v_x,t_a),
file('<stdin>',cls_conjecture_5) ).
fof(c_0_7_008,negated_conjecture,
! [X1] :
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_8_009,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
c_0_1 ).
fof(c_0_9_010,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
c_0_2 ).
fof(c_0_10_011,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_11_012,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
c_0_4 ).
fof(c_0_12_013,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
c_0_5 ).
fof(c_0_13_014,negated_conjecture,
c_in(v_xa,v_x,t_a),
c_0_6 ).
fof(c_0_14_015,negated_conjecture,
! [X2] :
( c_lessequals(X2,v_y,tc_set(t_a))
| ~ c_in(X2,v_c,tc_set(t_a)) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_15_016,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
c_0_8 ).
fof(c_0_16_017,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
c_0_9 ).
fof(c_0_17_018,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
c_0_10 ).
fof(c_0_18_019,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
c_0_11 ).
fof(c_0_19_020,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
c_0_12 ).
fof(c_0_20_021,negated_conjecture,
c_in(v_xa,v_x,t_a),
c_0_13 ).
cnf(c_0_21_022,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22_023,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23_024,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24_025,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25_026,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26_027,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27_028,negated_conjecture,
c_in(v_xa,v_x,t_a),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28_029,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
c_0_21,
[final] ).
cnf(c_0_29_030,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
c_0_22,
[final] ).
cnf(c_0_30_031,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
c_0_23,
[final] ).
cnf(c_0_31_032,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
c_0_24,
[final] ).
cnf(c_0_32_033,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
c_0_25,
[final] ).
cnf(c_0_33_034,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
c_0_26,
[final] ).
cnf(c_0_34_035,negated_conjecture,
c_in(v_xa,v_x,t_a),
c_0_27,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_21,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_33_1) ).
cnf(c_107,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_41936,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),X0,t_a)
| ~ c_lessequals(v_y,X0,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_95831,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_x,t_a)
| ~ c_lessequals(v_y,v_x,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_41936]) ).
cnf(c_25,negated_conjecture,
( ~ c_in(X0,v_c,tc_set(t_a))
| c_lessequals(X0,v_y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_28) ).
cnf(c_37,negated_conjecture,
( ~ c_in(X0,v_c,tc_set(t_a))
| c_lessequals(X0,v_y,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_25]) ).
cnf(c_65,negated_conjecture,
( ~ c_in(X0,v_c,tc_set(t_a))
| c_lessequals(X0,v_y,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_37]) ).
cnf(c_78,negated_conjecture,
( ~ c_in(X0,v_c,tc_set(t_a))
| c_lessequals(X0,v_y,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_65]) ).
cnf(c_79,negated_conjecture,
( ~ c_in(X0,v_c,tc_set(t_a))
| c_lessequals(X0,v_y,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_78]) ).
cnf(c_111,negated_conjecture,
( ~ c_in(X0,v_c,tc_set(t_a))
| c_lessequals(X0,v_y,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_79]) ).
cnf(c_41375,plain,
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_40891,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),X0,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_41274,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_40891]) ).
cnf(c_40880,plain,
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_0,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))
| c_in(X0,X5,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_28_0) ).
cnf(c_86,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))
| c_in(X0,X5,X2) ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_40729,plain,
( ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,v_x,t_a)
| c_in(v_xa,X2,t_a)
| ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X2,t_a),X2,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_40783,plain,
( ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,v_x,t_a)
| c_in(v_xa,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),X0,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_40729]) ).
cnf(c_40853,plain,
( ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(v_xa,v_y,t_a)
| ~ c_in(v_xa,v_x,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_40783]) ).
cnf(c_5,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| c_in(X0,X5,X2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_29_0) ).
cnf(c_91,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| c_in(X0,X5,X2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2)) ),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_40745,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X1,t_a),X0,tc_set(t_a))
| ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,v_x,t_a)
| c_in(v_xa,X1,t_a)
| ~ c_in(X0,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_40785,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))
| ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,v_x,t_a)
| c_in(v_xa,X0,t_a) ),
inference(instantiation,[status(thm)],[c_40745]) ).
cnf(c_40852,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a))
| ~ c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(v_xa,v_y,t_a)
| ~ c_in(v_xa,v_x,t_a) ),
inference(instantiation,[status(thm)],[c_40785]) ).
cnf(c_24,plain,
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_34_1) ).
cnf(c_110,plain,
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_40807,plain,
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_19,plain,
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_32_1) ).
cnf(c_105,plain,
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(copy,[status(esa)],[c_19]) ).
cnf(c_40809,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_x,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_14,plain,
( ~ c_in(X0,X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X0,X2),X3,tc_set(X2))
| c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_31_0) ).
cnf(c_100,plain,
( ~ c_in(X0,X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X0,X2),X3,tc_set(X2))
| c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(copy,[status(esa)],[c_14]) ).
cnf(c_40712,plain,
( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X0,v_x,t_a),X0,tc_set(t_a))
| ~ c_in(v_x,v_S,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_40782,plain,
( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_S,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_40712]) ).
cnf(c_10,plain,
( ~ c_in(X0,X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X0,X2),X0,tc_set(X2))
| c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_30_0) ).
cnf(c_96,plain,
( ~ c_in(X0,X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X0,X2),X0,tc_set(X2))
| c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(copy,[status(esa)],[c_10]) ).
cnf(c_40697,plain,
( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_S,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,v_x,t_a),v_x,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_40781,plain,
( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,v_S,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_40697]) ).
cnf(c_26,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_31) ).
cnf(c_27,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_29) ).
cnf(c_28,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_30) ).
cnf(c_29,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_32) ).
cnf(c_30,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_33) ).
cnf(c_31,negated_conjecture,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p',c_0_34) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_95831,c_41375,c_41274,c_40880,c_40853,c_40852,c_40807,c_40809,c_40782,c_40781,c_26,c_27,c_28,c_29,c_30,c_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET863-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 07:18:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.21/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41 % Orientation found
% 0.21/0.41 % 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_cd7d3b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_3c643b.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_ae681b | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 0.21/0.45 % --inst_prop_sim_new false
% 0.21/0.45 % --inst_orphan_elimination true
% 0.21/0.45 % --inst_learning_loop_flag true
% 0.21/0.45 % --inst_learning_start 3000
% 0.21/0.45 % --inst_learning_factor 2
% 0.21/0.45 % --inst_start_prop_sim_after_learn 3
% 0.21/0.45 % --inst_sel_renew solver
% 0.21/0.45 % --inst_lit_activity_flag true
% 0.21/0.45 % --inst_out_proof true
% 0.21/0.45
% 0.21/0.45 % ------ Resolution Options
% 0.21/0.45
% 0.21/0.45 % --resolution_flag true
% 0.21/0.45 % --res_lit_sel kbo_max
% 0.21/0.45 % --res_to_prop_solver none
% 0.21/0.45 % --res_prop_simpl_new false
% 0.21/0.45 % --res_prop_simpl_given false
% 0.21/0.45 % --res_passive_queue_type priority_queues
% 0.21/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45 % --res_passive_queues_freq [15;5]
% 0.21/0.45 % --res_forward_subs full
% 0.21/0.45 % --res_backward_subs full
% 0.21/0.45 % --res_forward_subs_resolution true
% 0.21/0.45 % --res_backward_subs_resolution true
% 0.21/0.45 % --res_orphan_elimination false
% 0.21/0.45 % --res_time_limit 1000.
% 0.21/0.45 % --res_out_proof true
% 0.21/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cd7d3b.s
% 0.21/0.45 % --modulo true
% 0.21/0.45
% 0.21/0.45 % ------ Combination Options
% 0.21/0.45
% 0.21/0.45 % --comb_res_mult 1000
% 0.21/0.45 % --comb_inst_mult 300
% 0.21/0.45 % ------
% 0.21/0.45
% 0.21/0.45 % ------ Parsing...% successful
% 0.21/0.45
% 0.21/0.45 % ------ 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 %
% 0.21/0.45
% 0.21/0.45 % ------ Proving...
% 0.21/0.45 % ------ Problem Properties
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % EPR false
% 0.21/0.45 % Horn false
% 0.21/0.45 % Has equality false
% 0.21/0.45
% 0.21/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % % ------ Current options:
% 0.21/0.45
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 11.79/11.99 % --inst_prop_sim_new false
% 11.79/11.99 % --inst_orphan_elimination true
% 11.79/11.99 % --inst_learning_loop_flag true
% 11.79/11.99 % --inst_learning_start 3000
% 11.79/11.99 % --inst_learning_factor 2
% 11.79/11.99 % --inst_start_prop_sim_after_learn 3
% 11.79/11.99 % --inst_sel_renew solver
% 11.79/11.99 % --inst_lit_activity_flag true
% 11.79/11.99 % --inst_out_proof true
% 11.79/11.99
% 11.79/11.99 % ------ Resolution Options
% 11.79/11.99
% 11.79/11.99 % --resolution_flag true
% 11.79/11.99 % --res_lit_sel kbo_max
% 11.79/11.99 % --res_to_prop_solver none
% 11.79/11.99 % --res_prop_simpl_new false
% 11.79/11.99 % --res_prop_simpl_given false
% 11.79/11.99 % --res_passive_queue_type priority_queues
% 11.79/11.99 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 11.79/11.99 % --res_passive_queues_freq [15;5]
% 11.79/11.99 % --res_forward_subs full
% 11.79/11.99 % --res_backward_subs full
% 11.79/11.99 % --res_forward_subs_resolution true
% 11.79/11.99 % --res_backward_subs_resolution true
% 11.79/11.99 % --res_orphan_elimination false
% 11.79/11.99 % --res_time_limit 1000.
% 11.79/11.99 % --res_out_proof true
% 11.79/11.99 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cd7d3b.s
% 11.79/11.99 % --modulo true
% 11.79/11.99
% 11.79/11.99 % ------ Combination Options
% 11.79/11.99
% 11.79/11.99 % --comb_res_mult 1000
% 11.79/11.99 % --comb_inst_mult 300
% 11.79/11.99 % ------
% 11.79/11.99
% 11.79/11.99
% 11.79/11.99
% 11.79/11.99 % ------ Proving...
% 11.79/11.99 %
% 11.79/11.99
% 11.79/11.99
% 11.79/11.99 % ------ Statistics
% 11.79/11.99
% 11.79/11.99 % ------ General
% 11.79/11.99
% 11.79/11.99 % num_of_input_clauses: 32
% 11.79/11.99 % num_of_input_neg_conjectures: 7
% 11.79/11.99 % num_of_splits: 0
% 11.79/11.99 % num_of_split_atoms: 0
% 11.79/11.99 % num_of_sem_filtered_clauses: 0
% 11.79/11.99 % num_of_subtypes: 0
% 11.79/11.99 % monotx_restored_types: 0
% 11.79/11.99 % sat_num_of_epr_types: 0
% 11.79/11.99 % sat_num_of_non_cyclic_types: 0
% 11.79/11.99 % sat_guarded_non_collapsed_types: 0
% 11.79/11.99 % is_epr: 0
% 11.79/11.99 % is_horn: 0
% 11.79/11.99 % has_eq: 0
% 11.79/11.99 % num_pure_diseq_elim: 0
% 11.79/11.99 % simp_replaced_by: 0
% 11.79/11.99 % res_preprocessed: 14
% 11.79/11.99 % prep_upred: 0
% 11.79/11.99 % prep_unflattend: 0
% 11.79/11.99 % pred_elim_cands: 0
% 11.79/11.99 % pred_elim: 0
% 11.79/11.99 % pred_elim_cl: 0
% 11.79/11.99 % pred_elim_cycles: 0
% 11.79/11.99 % forced_gc_time: 0
% 11.79/11.99 % gc_basic_clause_elim: 0
% 11.79/11.99 % parsing_time: 0.003
% 11.79/11.99 % sem_filter_time: 0.
% 11.79/11.99 % pred_elim_time: 0.
% 11.79/11.99 % out_proof_time: 0.001
% 11.79/11.99 % monotx_time: 0.
% 11.79/11.99 % subtype_inf_time: 0.
% 11.79/11.99 % unif_index_cands_time: 0.018
% 11.79/11.99 % unif_index_add_time: 0.009
% 11.79/11.99 % total_time: 11.565
% 11.79/11.99 % num_of_symbols: 42
% 11.79/11.99 % num_of_terms: 21876
% 11.79/11.99
% 11.79/11.99 % ------ Propositional Solver
% 11.79/11.99
% 11.79/11.99 % prop_solver_calls: 12
% 11.79/11.99 % prop_fast_solver_calls: 24
% 11.79/11.99 % prop_num_of_clauses: 818
% 11.79/11.99 % prop_preprocess_simplified: 1003
% 11.79/11.99 % prop_fo_subsumed: 0
% 11.79/11.99 % prop_solver_time: 0.
% 11.79/11.99 % prop_fast_solver_time: 0.
% 11.79/11.99 % prop_unsat_core_time: 0.
% 11.79/11.99
% 11.79/11.99 % ------ QBF
% 11.79/11.99
% 11.79/11.99 % qbf_q_res: 0
% 11.79/11.99 % qbf_num_tautologies: 0
% 11.79/11.99 % qbf_prep_cycles: 0
% 11.79/11.99
% 11.79/11.99 % ------ BMC1
% 11.79/11.99
% 11.79/11.99 % bmc1_current_bound: -1
% 11.79/11.99 % bmc1_last_solved_bound: -1
% 11.79/11.99 % bmc1_unsat_core_size: -1
% 11.79/11.99 % bmc1_unsat_core_parents_size: -1
% 11.79/11.99 % bmc1_merge_next_fun: 0
% 11.79/11.99 % bmc1_unsat_core_clauses_time: 0.
% 11.79/11.99
% 11.79/11.99 % ------ Instantiation
% 11.79/11.99
% 11.79/11.99 % inst_num_of_clauses: 531
% 11.79/11.99 % inst_num_in_passive: 76
% 11.79/11.99 % inst_num_in_active: 350
% 11.79/11.99 % inst_num_in_unprocessed: 95
% 11.79/11.99 % inst_num_of_loops: 498
% 11.79/11.99 % inst_num_of_learning_restarts: 0
% 11.79/11.99 % inst_num_moves_active_passive: 133
% 11.79/11.99 % inst_lit_activity: 139
% 11.79/11.99 % inst_lit_activity_moves: 0
% 11.79/11.99 % inst_num_tautologies: 8
% 11.79/11.99 % inst_num_prop_implied: 0
% 11.79/11.99 % inst_num_existing_simplified: 0
% 11.79/11.99 % inst_num_eq_res_simplified: 0
% 11.79/11.99 % inst_num_child_elim: 0
% 11.79/11.99 % inst_num_of_dismatching_blockings: 244
% 11.79/11.99 % inst_num_of_non_proper_insts: 1392
% 11.79/11.99 % inst_num_of_duplicates: 1256
% 11.79/11.99 % inst_inst_num_from_inst_to_res: 0
% 11.79/11.99 % inst_dismatching_checking_time: 0.001
% 11.79/11.99
% 11.79/11.99 % ------ Resolution
% 11.79/11.99
% 11.79/11.99 % res_num_of_clauses: 20995
% 11.79/11.99 % res_num_in_passive: 19188
% 11.79/11.99 % res_num_in_active: 1803
% 11.79/11.99 % res_num_of_loops: 2000
% 11.79/11.99 % res_forward_subset_subsumed: 873
% 11.79/11.99 % res_backward_subset_subsumed: 17
% 11.79/11.99 % res_forward_subsumed: 200
% 11.79/11.99 % res_backward_subsumed: 6
% 11.79/11.99 % res_forward_subsumption_resolution: 177
% 11.79/11.99 % res_backward_subsumption_resolution: 0
% 11.79/11.99 % res_clause_to_clause_subsumption: 209169
% 11.79/11.99 % res_orphan_elimination: 0
% 11.79/11.99 % res_tautology_del: 424
% 11.79/11.99 % res_num_eq_res_simplified: 0
% 11.79/11.99 % res_num_sel_changes: 0
% 11.79/11.99 % res_moves_from_active_to_pass: 0
% 11.79/11.99
% 11.79/11.99 % Status Unsatisfiable
% 11.79/11.99 % SZS status Unsatisfiable
% 11.79/11.99 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------