%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU329+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:22 PM UTC 2026
% Result : Theorem 160.20s 23.50s
% Output : Refutation 160.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 7
% Syntax : Number of formulae : 123 ( 8 unt; 3 def)
% Number of atoms : 816 ( 217 equ)
% Maximal formula atoms : 23 ( 6 avg)
% Number of connectives : 1147 ( 454 ~; 496 |; 160 &)
% ( 10 <=>; 25 =>; 0 <=; 2 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 3 con; 0-4 aty)
% Number of variables : 524 ( 0 sgn 412 !; 112 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
fof(f277,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f336,axiom,
! [X0,X1] :
( ( one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ! [X2] :
( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( element(X8,powerset(the_carrier(X0)))
=> ( X8 = X6
=> X7 = subset_complement(the_carrier(X0),X8) ) ) )
& X3 = X5
& ? [X9,X10] :
( ordered_pair(X9,X10) = X5
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( element(X11,powerset(the_carrier(X0)))
=> ( X11 = X9
=> X10 = subset_complement(the_carrier(X0),X11) ) ) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X5 = X4
& ? [X12,X13] :
( ordered_pair(X12,X13) = X4
& in(X12,complements_of_subsets(the_carrier(X0),X1))
& ! [X14] :
( element(X14,powerset(the_carrier(X0)))
=> ( X14 = X12
=> X13 = subset_complement(the_carrier(X0),X14) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e4_7_1__tops_2__2) ).
fof(f347,conjecture,
! [X0,X1] :
( ( one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,complements_of_subsets(the_carrier(X0),X1))
& ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X7 = X5
=> X6 = subset_complement(the_carrier(X0),X7) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e4_7_1__tops_2__1) ).
fof(f348,negated_conjecture,
~ ! [X0,X1] :
( ( one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ! [X2] :
? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,complements_of_subsets(the_carrier(X0),X1))
& ! [X7] :
( element(X7,powerset(the_carrier(X0)))
=> ( X7 = X5
=> X6 = subset_complement(the_carrier(X0),X7) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f347]) ).
fof(f550,plain,
! [X0,X1] :
( ( one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ! [X2] :
( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( element(X8,powerset(the_carrier(X0)))
=> ( X8 = X6
=> X7 = subset_complement(the_carrier(X0),X8) ) ) )
& X3 = X5
& ? [X9,X10] :
( ordered_pair(X9,X10) = X5
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( element(X11,powerset(the_carrier(X0)))
=> ( X11 = X9
=> X10 = subset_complement(the_carrier(X0),X11) ) ) ) )
=> X4 = X5 )
=> ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X15,X16] :
( ordered_pair(X15,X16) = X13
& in(X15,complements_of_subsets(the_carrier(X0),X1))
& ! [X17] :
( element(X17,powerset(the_carrier(X0)))
=> ( X15 = X17
=> subset_complement(the_carrier(X0),X17) = X16 ) ) ) ) ) ) ),
inference(rectify,[],[f336]) ).
fof(f558,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,complements_of_subsets(the_carrier(X0),X1))
& ! [X7] :
( X6 = subset_complement(the_carrier(X0),X7)
| X5 != X7
| ~ element(X7,powerset(the_carrier(X0))) ) ) ) )
& one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(ennf_transformation,[],[f348]) ).
fof(f559,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,complements_of_subsets(the_carrier(X0),X1))
& ! [X7] :
( X6 = subset_complement(the_carrier(X0),X7)
| X5 != X7
| ~ element(X7,powerset(the_carrier(X0))) ) ) ) )
& one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f558]) ).
fof(f604,plain,
! [X0,X1] :
( subset_complement(X0,X1) = set_difference(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f100]) ).
fof(f609,plain,
! [X0,X1] :
( ! [X2] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X15,X16] :
( ordered_pair(X15,X16) = X13
& in(X15,complements_of_subsets(the_carrier(X0),X1))
& ! [X17] :
( subset_complement(the_carrier(X0),X17) = X16
| X15 != X17
| ~ element(X17,powerset(the_carrier(X0))) ) ) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X7 = subset_complement(the_carrier(X0),X8)
| X6 != X8
| ~ element(X8,powerset(the_carrier(X0))) ) )
& X3 = X5
& ? [X9,X10] :
( ordered_pair(X9,X10) = X5
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( X10 = subset_complement(the_carrier(X0),X11)
| X9 != X11
| ~ element(X11,powerset(the_carrier(X0))) ) ) ) )
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(ennf_transformation,[],[f550]) ).
fof(f610,plain,
! [X0,X1] :
( ! [X2] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X15,X16] :
( ordered_pair(X15,X16) = X13
& in(X15,complements_of_subsets(the_carrier(X0),X1))
& ! [X17] :
( subset_complement(the_carrier(X0),X17) = X16
| X15 != X17
| ~ element(X17,powerset(the_carrier(X0))) ) ) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X7 = subset_complement(the_carrier(X0),X8)
| X6 != X8
| ~ element(X8,powerset(the_carrier(X0))) ) )
& X3 = X5
& ? [X9,X10] :
( ordered_pair(X9,X10) = X5
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( X10 = subset_complement(the_carrier(X0),X11)
| X9 != X11
| ~ element(X11,powerset(the_carrier(X0))) ) ) ) )
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f609]) ).
fof(f691,definition,
! [X1,X0] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X7 = subset_complement(the_carrier(X0),X8)
| X6 != X8
| ~ element(X8,powerset(the_carrier(X0))) ) )
& X3 = X5
& ? [X9,X10] :
( ordered_pair(X9,X10) = X5
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( X10 = subset_complement(the_carrier(X0),X11)
| X9 != X11
| ~ element(X11,powerset(the_carrier(X0))) ) ) )
| ~ sP5(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f692,plain,
! [X0,X1] :
( ! [X2] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X15,X16] :
( ordered_pair(X15,X16) = X13
& in(X15,complements_of_subsets(the_carrier(X0),X1))
& ! [X17] :
( subset_complement(the_carrier(X0),X17) = X16
| X15 != X17
| ~ element(X17,powerset(the_carrier(X0))) ) ) ) )
| sP5(X1,X0) )
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(definition_folding,[],[f610,f691]) ).
fof(f702,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(X0),X1))
| ? [X7] :
( subset_complement(the_carrier(X0),X7) != X6
& X5 = X7
& element(X7,powerset(the_carrier(X0))) ) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,complements_of_subsets(the_carrier(X0),X1))
& ! [X7] :
( X6 = subset_complement(the_carrier(X0),X7)
| X5 != X7
| ~ element(X7,powerset(the_carrier(X0))) ) ) )
| in(X4,X3) ) )
& one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(nnf_transformation,[],[f559]) ).
fof(f703,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(X0),X1))
| ? [X7] :
( subset_complement(the_carrier(X0),X7) != X6
& X5 = X7
& element(X7,powerset(the_carrier(X0))) ) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X5,X6] :
( ordered_pair(X5,X6) = X4
& in(X5,complements_of_subsets(the_carrier(X0),X1))
& ! [X7] :
( X6 = subset_complement(the_carrier(X0),X7)
| X5 != X7
| ~ element(X7,powerset(the_carrier(X0))) ) ) )
| in(X4,X3) ) )
& one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(flattening,[],[f702]) ).
fof(f704,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ! [X5,X6] :
( ordered_pair(X5,X6) != X4
| ~ in(X5,complements_of_subsets(the_carrier(X0),X1))
| ? [X7] :
( subset_complement(the_carrier(X0),X7) != X6
& X5 = X7
& element(X7,powerset(the_carrier(X0))) ) )
| ~ in(X4,X3) )
& ( ( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& ? [X8,X9] :
( ordered_pair(X8,X9) = X4
& in(X8,complements_of_subsets(the_carrier(X0),X1))
& ! [X10] :
( subset_complement(the_carrier(X0),X10) = X9
| X8 != X10
| ~ element(X10,powerset(the_carrier(X0))) ) ) )
| in(X4,X3) ) )
& one_sorted_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(rectify,[],[f703]) ).
fof(f705,plain,
( ! [X3] :
( ( ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ! [X5,X6] :
( ordered_pair(X5,X6) != sK14(X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK11),sK12))
| ( subset_complement(the_carrier(sK11),sK15(X5,X6)) != X6
& sK15(X5,X6) = X5
& element(sK15(X5,X6),powerset(the_carrier(sK11))) ) )
| ~ in(sK14(X3),X3) )
& ( ( in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
& sK14(X3) = ordered_pair(sK16(X3),sK17(X3))
& in(sK16(X3),complements_of_subsets(the_carrier(sK11),sK12))
& ! [X10] :
( sK17(X3) = subset_complement(the_carrier(sK11),X10)
| sK16(X3) != X10
| ~ element(X10,powerset(the_carrier(sK11))) ) )
| in(sK14(X3),X3) ) )
& one_sorted_str(sK11)
& element(sK12,powerset(powerset(the_carrier(sK11)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16,sK17]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X4,sK14(X3)),skolemize(X7,sK15(X5,X6)),skolemize(X8,sK16(X3)),skolemize(X9,sK17(X3))],[f704]) ).
fof(f742,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f277]) ).
fof(f743,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f742]) ).
fof(f773,plain,
! [X1,X0] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,complements_of_subsets(the_carrier(X0),X1))
& ! [X8] :
( X7 = subset_complement(the_carrier(X0),X8)
| X6 != X8
| ~ element(X8,powerset(the_carrier(X0))) ) )
& X3 = X5
& ? [X9,X10] :
( ordered_pair(X9,X10) = X5
& in(X9,complements_of_subsets(the_carrier(X0),X1))
& ! [X11] :
( X10 = subset_complement(the_carrier(X0),X11)
| X9 != X11
| ~ element(X11,powerset(the_carrier(X0))) ) ) )
| ~ sP5(X1,X0) ),
inference(nnf_transformation,[],[f691]) ).
fof(f774,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5,X6] :
( ordered_pair(X5,X6) = X3
& in(X5,complements_of_subsets(the_carrier(X1),X0))
& ! [X7] :
( subset_complement(the_carrier(X1),X7) = X6
| X5 != X7
| ~ element(X7,powerset(the_carrier(X1))) ) )
& X2 = X4
& ? [X8,X9] :
( ordered_pair(X8,X9) = X4
& in(X8,complements_of_subsets(the_carrier(X1),X0))
& ! [X10] :
( subset_complement(the_carrier(X1),X10) = X9
| X8 != X10
| ~ element(X10,powerset(the_carrier(X1))) ) ) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f773]) ).
fof(f775,plain,
! [X0,X1] :
( ( sK104(X0,X1) != sK105(X0,X1)
& sK103(X0,X1) = sK104(X0,X1)
& sK104(X0,X1) = ordered_pair(sK106(X0,X1),sK107(X0,X1))
& in(sK106(X0,X1),complements_of_subsets(the_carrier(X1),X0))
& ! [X7] :
( subset_complement(the_carrier(X1),X7) = sK107(X0,X1)
| sK106(X0,X1) != X7
| ~ element(X7,powerset(the_carrier(X1))) )
& sK103(X0,X1) = sK105(X0,X1)
& sK105(X0,X1) = ordered_pair(sK108(X0,X1),sK109(X0,X1))
& in(sK108(X0,X1),complements_of_subsets(the_carrier(X1),X0))
& ! [X10] :
( subset_complement(the_carrier(X1),X10) = sK109(X0,X1)
| sK108(X0,X1) != X10
| ~ element(X10,powerset(the_carrier(X1))) ) )
| ~ sP5(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103,sK104,sK105,sK106,sK107,sK108,sK109]),skolemize(X2,sK103(X0,X1)),skolemize(X3,sK104(X0,X1)),skolemize(X4,sK105(X0,X1)),skolemize(X5,sK106(X0,X1)),skolemize(X6,sK107(X0,X1)),skolemize(X8,sK108(X0,X1)),skolemize(X9,sK109(X0,X1))],[f774]) ).
fof(f776,plain,
! [X0,X1] :
( ! [X2] :
( ? [X12] :
! [X13] :
( ( in(X13,X12)
| ! [X14] :
( ~ in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| X13 != X14
| ! [X15,X16] :
( ordered_pair(X15,X16) != X13
| ~ in(X15,complements_of_subsets(the_carrier(X0),X1))
| ? [X17] :
( subset_complement(the_carrier(X0),X17) != X16
& X15 = X17
& element(X17,powerset(the_carrier(X0))) ) ) ) )
& ( ? [X14] :
( in(X14,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X13 = X14
& ? [X15,X16] :
( ordered_pair(X15,X16) = X13
& in(X15,complements_of_subsets(the_carrier(X0),X1))
& ! [X17] :
( subset_complement(the_carrier(X0),X17) = X16
| X15 != X17
| ~ element(X17,powerset(the_carrier(X0))) ) ) )
| ~ in(X13,X12) ) )
| sP5(X1,X0) )
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(nnf_transformation,[],[f692]) ).
fof(f777,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| X4 != X5
| ! [X6,X7] :
( ordered_pair(X6,X7) != X4
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| ? [X8] :
( subset_complement(the_carrier(X0),X8) != X7
& X6 = X8
& element(X8,powerset(the_carrier(X0))) ) ) ) )
& ( ? [X9] :
( in(X9,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& X4 = X9
& ? [X10,X11] :
( ordered_pair(X10,X11) = X4
& in(X10,complements_of_subsets(the_carrier(X0),X1))
& ! [X12] :
( subset_complement(the_carrier(X0),X12) = X11
| X10 != X12
| ~ element(X12,powerset(the_carrier(X0))) ) ) )
| ~ in(X4,X3) ) )
| sP5(X1,X0) )
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(rectify,[],[f776]) ).
fof(f778,plain,
! [X0,X1] :
( ! [X2] :
( ! [X4] :
( ( in(X4,sK110(X0,X1,X2))
| ! [X5] :
( ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| X4 != X5
| ! [X6,X7] :
( ordered_pair(X6,X7) != X4
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| ( subset_complement(the_carrier(X0),sK111(X0,X6,X7)) != X7
& sK111(X0,X6,X7) = X6
& element(sK111(X0,X6,X7),powerset(the_carrier(X0))) ) ) ) )
& ( ( in(sK112(X0,X1,X2,X4),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
& sK112(X0,X1,X2,X4) = X4
& ordered_pair(sK113(X0,X1,X4),sK114(X0,X1,X4)) = X4
& in(sK113(X0,X1,X4),complements_of_subsets(the_carrier(X0),X1))
& ! [X12] :
( subset_complement(the_carrier(X0),X12) = sK114(X0,X1,X4)
| sK113(X0,X1,X4) != X12
| ~ element(X12,powerset(the_carrier(X0))) ) )
| ~ in(X4,sK110(X0,X1,X2)) ) )
| sP5(X1,X0) )
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110,sK111,sK112,sK113,sK114]),skolemize(X3,sK110(X0,X1,X2)),skolemize(X8,sK111(X0,X6,X7)),skolemize(X9,sK112(X0,X1,X2,X4)),skolemize(X10,sK113(X0,X1,X4)),skolemize(X11,sK114(X0,X1,X4))],[f777]) ).
fof(f868,plain,
element(sK12,powerset(powerset(the_carrier(sK11)))),
inference(cnf_transformation,[],[f705]) ).
fof(f869,plain,
one_sorted_str(sK11),
inference(cnf_transformation,[],[f705]) ).
fof(f870,plain,
! [X3,X10] :
( sK17(X3) = subset_complement(the_carrier(sK11),X10)
| sK16(X3) != X10
| ~ element(X10,powerset(the_carrier(sK11)))
| in(sK14(X3),X3) ),
inference(cnf_transformation,[],[f705]) ).
fof(f872,plain,
! [X3] :
( sK14(X3) = ordered_pair(sK16(X3),sK17(X3))
| in(sK14(X3),X3) ),
inference(cnf_transformation,[],[f705]) ).
fof(f873,plain,
! [X3] :
( in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| in(sK14(X3),X3) ),
inference(cnf_transformation,[],[f705]) ).
fof(f874,plain,
! [X3,X6,X5] :
( ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ordered_pair(X5,X6) != sK14(X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK11),sK12))
| element(sK15(X5,X6),powerset(the_carrier(sK11)))
| ~ in(sK14(X3),X3) ),
inference(cnf_transformation,[],[f705]) ).
fof(f875,plain,
! [X3,X6,X5] :
( ordered_pair(X5,X6) != sK14(X3)
| ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(X5,complements_of_subsets(the_carrier(sK11),sK12))
| sK15(X5,X6) = X5
| ~ in(sK14(X3),X3) ),
inference(cnf_transformation,[],[f705]) ).
fof(f876,plain,
! [X3,X6,X5] :
( ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ordered_pair(X5,X6) != sK14(X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK11),sK12))
| subset_complement(the_carrier(sK11),sK15(X5,X6)) != X6
| ~ in(sK14(X3),X3) ),
inference(cnf_transformation,[],[f705]) ).
fof(f961,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f743]) ).
fof(f1032,plain,
! [X0,X1] :
( set_difference(X0,X1) = subset_complement(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f604]) ).
fof(f1041,plain,
! [X0,X1] :
( sK103(X0,X1) = sK105(X0,X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f775]) ).
fof(f1045,plain,
! [X0,X1] :
( sK103(X0,X1) = sK104(X0,X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f775]) ).
fof(f1046,plain,
! [X0,X1] :
( sK104(X0,X1) != sK105(X0,X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f775]) ).
fof(f1047,plain,
! [X2,X0,X1,X4,X12] :
( subset_complement(the_carrier(X0),X12) = sK114(X0,X1,X4)
| sK113(X0,X1,X4) != X12
| ~ element(X12,powerset(the_carrier(X0)))
| ~ in(X4,sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1048,plain,
! [X2,X0,X1,X4] :
( in(sK113(X0,X1,X4),complements_of_subsets(the_carrier(X0),X1))
| ~ in(X4,sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1049,plain,
! [X2,X0,X1,X4] :
( ordered_pair(sK113(X0,X1,X4),sK114(X0,X1,X4)) = X4
| ~ in(X4,sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1050,plain,
! [X2,X0,X1,X4] :
( sK112(X0,X1,X2,X4) = X4
| ~ in(X4,sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1051,plain,
! [X2,X0,X1,X4] :
( in(sK112(X0,X1,X2,X4),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ~ in(X4,sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1052,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK110(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| X4 != X5
| ordered_pair(X6,X7) != X4
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| element(sK111(X0,X6,X7),powerset(the_carrier(X0)))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1053,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK110(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| X4 != X5
| ordered_pair(X6,X7) != X4
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| sK111(X0,X6,X7) = X6
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1054,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK110(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| X4 != X5
| ordered_pair(X6,X7) != X4
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| subset_complement(the_carrier(X0),sK111(X0,X6,X7)) != X7
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1287,plain,
! [X3] :
( sK17(X3) = subset_complement(the_carrier(sK11),sK16(X3))
| ~ element(sK16(X3),powerset(the_carrier(sK11)))
| in(sK14(X3),X3) ),
inference(equality_resolution,[],[f870]) ).
fof(f1320,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK110(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ordered_pair(X6,X7) != X5
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| subset_complement(the_carrier(X0),sK111(X0,X6,X7)) != X7
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(equality_resolution,[],[f1054]) ).
fof(f1321,plain,
! [X2,X0,X1,X6,X7] :
( in(ordered_pair(X6,X7),sK110(X0,X1,X2))
| ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| subset_complement(the_carrier(X0),sK111(X0,X6,X7)) != X7
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(equality_resolution,[],[f1320]) ).
fof(f1322,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK110(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ordered_pair(X6,X7) != X5
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| sK111(X0,X6,X7) = X6
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(equality_resolution,[],[f1053]) ).
fof(f1323,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| in(ordered_pair(X6,X7),sK110(X0,X1,X2))
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| sK111(X0,X6,X7) = X6
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(equality_resolution,[],[f1322]) ).
fof(f1324,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK110(X0,X1,X2))
| ~ in(X5,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ordered_pair(X6,X7) != X5
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| element(sK111(X0,X6,X7),powerset(the_carrier(X0)))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(equality_resolution,[],[f1052]) ).
fof(f1325,plain,
! [X2,X0,X1,X6,X7] :
( in(ordered_pair(X6,X7),sK110(X0,X1,X2))
| ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| element(sK111(X0,X6,X7),powerset(the_carrier(X0)))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(equality_resolution,[],[f1324]) ).
fof(f1326,plain,
! [X2,X0,X1,X4] :
( sK114(X0,X1,X4) = subset_complement(the_carrier(X0),sK113(X0,X1,X4))
| ~ element(sK113(X0,X1,X4),powerset(the_carrier(X0)))
| ~ in(X4,sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(equality_resolution,[],[f1047]) ).
fof(f1390,plain,
! [X2,X0,X1,X4] :
( in(X4,cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ~ in(X4,sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(forward_subsumption_demodulation,[],[f1051,f1050]) ).
fof(f1391,plain,
! [X2,X0,X1,X6,X7] :
( in(ordered_pair(X6,X7),sK110(X0,X1,X2))
| ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| element(X6,powerset(the_carrier(X0)))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(backward_subsumption_demodulation,[],[f1325,f1323]) ).
fof(f1392,plain,
! [X2,X0,X1,X6,X7] :
( in(ordered_pair(X6,X7),sK110(X0,X1,X2))
| ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| ~ in(X6,complements_of_subsets(the_carrier(X0),X1))
| subset_complement(the_carrier(X0),X6) != X7
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(forward_subsumption_demodulation,[],[f1321,f1323]) ).
fof(f1393,plain,
! [X0,X1] :
( sK104(X0,X1) = sK105(X0,X1)
| ~ sP5(X0,X1) ),
inference(backward_subsumption_demodulation,[],[f1041,f1045]) ).
fof(f1396,plain,
! [X2,X0,X1,X4] :
( sK114(X0,X1,X4) = set_difference(the_carrier(X0),sK113(X0,X1,X4))
| ~ element(sK113(X0,X1,X4),powerset(the_carrier(X0)))
| ~ in(X4,sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(backward_subsumption_demodulation,[],[f1326,f1032]) ).
fof(f1441,plain,
! [X3] :
( sK17(X3) = set_difference(the_carrier(sK11),sK16(X3))
| ~ element(sK16(X3),powerset(the_carrier(sK11)))
| in(sK14(X3),X3) ),
inference(forward_subsumption_demodulation,[],[f1287,f1032]) ).
fof(f1442,plain,
! [X3,X6,X5] :
( ordered_pair(X5,X6) != sK14(X3)
| ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(X5,complements_of_subsets(the_carrier(sK11),sK12))
| element(X5,powerset(the_carrier(sK11)))
| ~ in(sK14(X3),X3) ),
inference(backward_subsumption_demodulation,[],[f874,f875]) ).
fof(f1443,plain,
! [X3,X6,X5] :
( subset_complement(the_carrier(sK11),X5) != X6
| ordered_pair(X5,X6) != sK14(X3)
| ~ in(X5,complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X3),X3) ),
inference(forward_subsumption_demodulation,[],[f876,f875]) ).
fof(f1448,plain,
! [X2,X0,X1,X6,X7] :
( ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| in(ordered_pair(X6,X7),sK110(X0,X1,X2))
| element(X6,powerset(the_carrier(X0)))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(forward_subsumption_resolution,[],[f1391,f961]) ).
fof(f1449,plain,
! [X2,X0,X1,X6,X7] :
( subset_complement(the_carrier(X0),X6) != X7
| ~ in(ordered_pair(X6,X7),cartesian_product2(complements_of_subsets(the_carrier(X0),X1),X2))
| in(ordered_pair(X6,X7),sK110(X0,X1,X2))
| sP5(X1,X0)
| ~ one_sorted_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(forward_subsumption_resolution,[],[f1392,f961]) ).
fof(f1450,plain,
! [X0,X1] : ~ sP5(X0,X1),
inference(forward_subsumption_resolution,[],[f1393,f1046]) ).
fof(f1483,plain,
! [X2,X0,X1] :
( set_difference(the_carrier(sK11),X0) != X1
| ordered_pair(X0,X1) != sK14(X2)
| ~ in(X0,complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X2),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X2),X2)
| ~ element(X0,powerset(the_carrier(sK11))) ),
inference(superposition,[],[f1443,f1032]) ).
fof(f1485,plain,
! [X2,X3,X0,X1,X4] :
( set_difference(the_carrier(X0),X1) != X2
| ~ in(ordered_pair(X1,X2),cartesian_product2(complements_of_subsets(the_carrier(X0),X3),X4))
| in(ordered_pair(X1,X2),sK110(X0,X3,X4))
| sP5(X3,X0)
| ~ one_sorted_str(X0)
| ~ element(X3,powerset(powerset(the_carrier(X0))))
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(superposition,[],[f1449,f1032]) ).
fof(f1486,plain,
! [X2,X3,X0,X1,X4] :
( set_difference(the_carrier(X0),X1) != X2
| ~ in(ordered_pair(X1,X2),cartesian_product2(complements_of_subsets(the_carrier(X0),X3),X4))
| in(ordered_pair(X1,X2),sK110(X0,X3,X4))
| sP5(X3,X0)
| ~ one_sorted_str(X0)
| ~ element(X3,powerset(powerset(the_carrier(X0)))) ),
inference(forward_subsumption_resolution,[],[f1485,f1448]) ).
fof(f1487,plain,
! [X2,X0,X1] :
( set_difference(the_carrier(sK11),X0) != X1
| ordered_pair(X0,X1) != sK14(X2)
| ~ in(X0,complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X2),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X2),X2) ),
inference(forward_subsumption_resolution,[],[f1483,f1442]) ).
fof(f1489,plain,
! [X2,X3,X0,X1,X4] :
( set_difference(the_carrier(X0),X1) != X2
| ~ in(ordered_pair(X1,X2),cartesian_product2(complements_of_subsets(the_carrier(X0),X3),X4))
| in(ordered_pair(X1,X2),sK110(X0,X3,X4))
| ~ one_sorted_str(X0)
| ~ element(X3,powerset(powerset(the_carrier(X0)))) ),
inference(forward_subsumption_resolution,[],[f1486,f1450]) ).
fof(f1523,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,set_difference(the_carrier(X1),X0)),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| in(ordered_pair(X0,set_difference(the_carrier(X1),X0)),sK110(X1,X2,X3))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(equality_resolution,[],[f1489]) ).
fof(f1526,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(sK16(X0),sK17(X0)),cartesian_product2(complements_of_subsets(the_carrier(sK11),X1),X2))
| in(ordered_pair(sK16(X0),sK17(X0)),sK110(sK11,X1,X2))
| ~ one_sorted_str(sK11)
| ~ element(X1,powerset(powerset(the_carrier(sK11))))
| ~ element(sK16(X0),powerset(the_carrier(sK11)))
| in(sK14(X0),X0) ),
inference(superposition,[],[f1523,f1441]) ).
fof(f1530,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(sK16(X0),sK17(X0)),cartesian_product2(complements_of_subsets(the_carrier(sK11),X1),X2))
| in(ordered_pair(sK16(X0),sK17(X0)),sK110(sK11,X1,X2))
| ~ element(X1,powerset(powerset(the_carrier(sK11))))
| ~ element(sK16(X0),powerset(the_carrier(sK11)))
| in(sK14(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1526,f869]) ).
fof(f1531,plain,
! [X2,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(sK11),X1),X2))
| in(ordered_pair(sK16(X0),sK17(X0)),sK110(sK11,X1,X2))
| ~ element(X1,powerset(powerset(the_carrier(sK11))))
| ~ element(sK16(X0),powerset(the_carrier(sK11)))
| in(sK14(X0),X0) ),
inference(forward_subsumption_demodulation,[],[f1530,f872]) ).
fof(f1532,plain,
! [X2,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(sK11),X1),X2))
| in(sK14(X0),sK110(sK11,X1,X2))
| ~ element(X1,powerset(powerset(the_carrier(sK11))))
| ~ element(sK16(X0),powerset(the_carrier(sK11)))
| in(sK14(X0),X0) ),
inference(forward_subsumption_demodulation,[],[f1531,f872]) ).
fof(f1533,plain,
! [X0] :
( in(sK14(X0),sK110(sK11,sK12,sK13))
| ~ element(sK12,powerset(powerset(the_carrier(sK11))))
| ~ element(sK16(X0),powerset(the_carrier(sK11)))
| in(sK14(X0),X0)
| in(sK14(X0),X0) ),
inference(resolution,[],[f1532,f873]) ).
fof(f1537,plain,
! [X0] :
( in(sK14(X0),sK110(sK11,sK12,sK13))
| ~ element(sK12,powerset(powerset(the_carrier(sK11))))
| ~ element(sK16(X0),powerset(the_carrier(sK11)))
| in(sK14(X0),X0) ),
inference(duplicate_literal_removal,[],[f1533]) ).
fof(f1539,plain,
! [X0] :
( in(sK14(X0),sK110(sK11,sK12,sK13))
| ~ element(sK16(X0),powerset(the_carrier(sK11)))
| in(sK14(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1537,f868]) ).
fof(f1575,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| in(sK14(X0),sK110(X1,X2,X3))
| element(sK16(X0),powerset(the_carrier(X1)))
| sP5(X2,X1)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| in(sK14(X0),X0) ),
inference(superposition,[],[f1448,f872]) ).
fof(f1581,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(X1),X2),X3))
| in(sK14(X0),sK110(X1,X2,X3))
| element(sK16(X0),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| in(sK14(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1575,f1450]) ).
fof(f1592,plain,
! [X0] :
( in(sK14(X0),sK110(sK11,sK12,sK13))
| element(sK16(X0),powerset(the_carrier(sK11)))
| ~ one_sorted_str(sK11)
| ~ element(sK12,powerset(powerset(the_carrier(sK11))))
| in(sK14(X0),X0)
| in(sK14(X0),X0) ),
inference(resolution,[],[f1581,f873]) ).
fof(f1596,plain,
! [X0] :
( in(sK14(X0),sK110(sK11,sK12,sK13))
| element(sK16(X0),powerset(the_carrier(sK11)))
| ~ one_sorted_str(sK11)
| ~ element(sK12,powerset(powerset(the_carrier(sK11))))
| in(sK14(X0),X0) ),
inference(duplicate_literal_removal,[],[f1592]) ).
fof(f1598,plain,
! [X0] :
( in(sK14(X0),sK110(sK11,sK12,sK13))
| ~ one_sorted_str(sK11)
| ~ element(sK12,powerset(powerset(the_carrier(sK11))))
| in(sK14(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1596,f1539]) ).
fof(f1599,plain,
! [X0] :
( in(sK14(X0),sK110(sK11,sK12,sK13))
| ~ element(sK12,powerset(powerset(the_carrier(sK11))))
| in(sK14(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1598,f869]) ).
fof(f1600,plain,
! [X0] :
( in(sK14(X0),sK110(sK11,sK12,sK13))
| in(sK14(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1599,f868]) ).
fof(f1739,plain,
! [X2,X3,X0,X1,X4] :
( sK114(sK11,X0,X1) != X2
| sK14(X3) != ordered_pair(sK113(sK11,X0,X1),X2)
| ~ in(sK113(sK11,X0,X1),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X3),X3)
| ~ element(sK113(sK11,X0,X1),powerset(the_carrier(sK11)))
| ~ in(X1,sK110(sK11,X0,X4))
| sP5(X0,sK11)
| ~ one_sorted_str(sK11)
| ~ element(X0,powerset(powerset(the_carrier(sK11)))) ),
inference(superposition,[],[f1487,f1396]) ).
fof(f1763,plain,
! [X2,X3,X0,X1,X4] :
( sK114(sK11,X0,X1) != X2
| sK14(X3) != ordered_pair(sK113(sK11,X0,X1),X2)
| ~ in(sK113(sK11,X0,X1),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X3),X3)
| ~ in(X1,sK110(sK11,X0,X4))
| sP5(X0,sK11)
| ~ one_sorted_str(sK11)
| ~ element(X0,powerset(powerset(the_carrier(sK11)))) ),
inference(forward_subsumption_resolution,[],[f1739,f1442]) ).
fof(f1768,plain,
! [X2,X3,X0,X1,X4] :
( sK114(sK11,X0,X1) != X2
| sK14(X3) != ordered_pair(sK113(sK11,X0,X1),X2)
| ~ in(sK113(sK11,X0,X1),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X3),X3)
| ~ in(X1,sK110(sK11,X0,X4))
| sP5(X0,sK11)
| ~ element(X0,powerset(powerset(the_carrier(sK11)))) ),
inference(forward_subsumption_resolution,[],[f1763,f869]) ).
fof(f1772,plain,
! [X2,X3,X0,X1,X4] :
( sK14(X3) != ordered_pair(sK113(sK11,X0,X1),X2)
| sK114(sK11,X0,X1) != X2
| ~ in(sK113(sK11,X0,X1),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X3),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X3),X3)
| ~ in(X1,sK110(sK11,X0,X4))
| ~ element(X0,powerset(powerset(the_carrier(sK11)))) ),
inference(forward_subsumption_resolution,[],[f1768,f1450]) ).
fof(f1774,plain,
! [X2,X3,X0,X1,X4] :
( sK14(X1) != X0
| sK114(sK11,X2,X0) != sK114(sK11,X2,X0)
| ~ in(sK113(sK11,X2,X0),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X1),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X1),X1)
| ~ in(X0,sK110(sK11,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(sK11))))
| ~ in(X0,sK110(sK11,X2,X4))
| sP5(X2,sK11)
| ~ one_sorted_str(sK11)
| ~ element(X2,powerset(powerset(the_carrier(sK11)))) ),
inference(superposition,[],[f1772,f1049]) ).
fof(f1775,plain,
! [X2,X3,X0,X1,X4] :
( sK14(X1) != X0
| sK114(sK11,X2,X0) != sK114(sK11,X2,X0)
| ~ in(sK113(sK11,X2,X0),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X1),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X1),X1)
| ~ in(X0,sK110(sK11,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(sK11))))
| ~ in(X0,sK110(sK11,X2,X4))
| sP5(X2,sK11)
| ~ one_sorted_str(sK11) ),
inference(duplicate_literal_removal,[],[f1774]) ).
fof(f1776,plain,
! [X2,X3,X0,X1,X4] :
( sK14(X1) != X0
| ~ in(sK113(sK11,X2,X0),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X1),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X1),X1)
| ~ in(X0,sK110(sK11,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(sK11))))
| ~ in(X0,sK110(sK11,X2,X4))
| sP5(X2,sK11)
| ~ one_sorted_str(sK11) ),
inference(trivial_inequality_removal,[],[f1775]) ).
fof(f1777,plain,
! [X2,X3,X0,X1,X4] :
( sK14(X1) != X0
| ~ in(sK113(sK11,X2,X0),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X1),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X1),X1)
| ~ in(X0,sK110(sK11,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(sK11))))
| ~ in(X0,sK110(sK11,X2,X4))
| sP5(X2,sK11) ),
inference(forward_subsumption_resolution,[],[f1776,f869]) ).
fof(f1778,plain,
! [X2,X3,X0,X1,X4] :
( sK14(X1) != X0
| ~ in(sK113(sK11,X2,X0),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X1),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X1),X1)
| ~ in(X0,sK110(sK11,X2,X3))
| ~ element(X2,powerset(powerset(the_carrier(sK11))))
| ~ in(X0,sK110(sK11,X2,X4)) ),
inference(forward_subsumption_resolution,[],[f1777,f1450]) ).
fof(f1779,plain,
! [X2,X3,X0,X1] :
( ~ in(sK113(sK11,X0,sK14(X1)),complements_of_subsets(the_carrier(sK11),sK12))
| ~ in(sK14(X1),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X1),X1)
| ~ in(sK14(X1),sK110(sK11,X0,X2))
| ~ element(X0,powerset(powerset(the_carrier(sK11))))
| ~ in(sK14(X1),sK110(sK11,X0,X3)) ),
inference(equality_resolution,[],[f1778]) ).
fof(f1780,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X0),X0)
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ element(sK12,powerset(powerset(the_carrier(sK11))))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3))
| sP5(sK12,sK11)
| ~ one_sorted_str(sK11)
| ~ element(sK12,powerset(powerset(the_carrier(sK11)))) ),
inference(resolution,[],[f1779,f1048]) ).
fof(f1782,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X0),X0)
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ element(sK12,powerset(powerset(the_carrier(sK11))))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3))
| sP5(sK12,sK11)
| ~ one_sorted_str(sK11) ),
inference(duplicate_literal_removal,[],[f1780]) ).
fof(f1784,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X0),X0)
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3))
| sP5(sK12,sK11)
| ~ one_sorted_str(sK11) ),
inference(forward_subsumption_resolution,[],[f1782,f868]) ).
fof(f1785,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X0),X0)
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3))
| ~ one_sorted_str(sK11) ),
inference(forward_subsumption_resolution,[],[f1784,f1450]) ).
fof(f1786,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),cartesian_product2(complements_of_subsets(the_carrier(sK11),sK12),sK13))
| ~ in(sK14(X0),X0)
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3)) ),
inference(forward_subsumption_resolution,[],[f1785,f869]) ).
fof(f1788,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),X0)
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3))
| ~ in(sK14(X0),sK110(sK11,sK12,sK13))
| sP5(sK12,sK11)
| ~ one_sorted_str(sK11)
| ~ element(sK12,powerset(powerset(the_carrier(sK11)))) ),
inference(resolution,[],[f1786,f1390]) ).
fof(f1798,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),X0)
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3))
| ~ in(sK14(X0),sK110(sK11,sK12,sK13))
| ~ one_sorted_str(sK11)
| ~ element(sK12,powerset(powerset(the_carrier(sK11)))) ),
inference(forward_subsumption_resolution,[],[f1788,f1450]) ).
fof(f1799,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),X0)
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3))
| ~ in(sK14(X0),sK110(sK11,sK12,sK13))
| ~ element(sK12,powerset(powerset(the_carrier(sK11)))) ),
inference(forward_subsumption_resolution,[],[f1798,f869]) ).
fof(f1800,plain,
! [X2,X3,X0,X1] :
( ~ in(sK14(X0),sK110(sK11,sK12,sK13))
| ~ in(sK14(X0),sK110(sK11,sK12,X1))
| ~ in(sK14(X0),sK110(sK11,sK12,X2))
| ~ in(sK14(X0),sK110(sK11,sK12,X3))
| ~ in(sK14(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1799,f868]) ).
fof(f1818,plain,
! [X2,X0,X1] :
( ~ in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,sK13))
| ~ in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,X0))
| ~ in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,X1))
| ~ in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,X2)) ),
inference(factoring,[],[f1800]) ).
fof(f1820,definition,
( spl171_5
<=> ! [X2] : ~ in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,X2)) ),
introduced(definition,[new_symbols(definition,[spl171_5])],[avatar_definition]) ).
fof(f1821,plain,
( ! [X2] : ~ in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,X2))
| ~ spl171_5 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f1823,definition,
( spl171_6
<=> in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,sK13)) ),
introduced(definition,[new_symbols(definition,[spl171_6])],[avatar_definition]) ).
fof(f1824,plain,
( in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,sK13))
| ~ spl171_6 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1825,plain,
( ~ in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,sK13))
| spl171_6 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1826,plain,
( spl171_5
| spl171_5
| spl171_5
| ~ spl171_6 ),
inference(avatar_split_clause,[],[f1818,f1823,f1820,f1820,f1820]) ).
fof(f1827,plain,
( in(sK14(sK110(sK11,sK12,sK13)),sK110(sK11,sK12,sK13))
| spl171_6 ),
inference(resolution,[],[f1825,f1600]) ).
fof(f1832,plain,
( $false
| spl171_6 ),
inference(forward_subsumption_resolution,[],[f1827,f1825]) ).
fof(f1833,plain,
spl171_6,
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1837,plain,
( $false
| ~ spl171_5
| ~ spl171_6 ),
inference(forward_subsumption_resolution,[],[f1824,f1821]) ).
fof(f1838,plain,
( ~ spl171_5
| ~ spl171_6 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
cnf(s5,plain,
( spl171_5
| spl171_5
| spl171_5
| ~ spl171_6 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s6,plain,
( spl171_5
| ~ spl171_6 ),
inference(rat,[],[s5]) ).
cnf(s7,plain,
spl171_6,
inference(sat_conversion,[],[f1833]) ).
cnf(s8,plain,
( ~ spl171_5
| ~ spl171_6 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s9,plain,
~ spl171_5,
inference(rat,[],[s8,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s7,s9]) ).
fof(f1839,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU329+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 04:47:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.11/3.02 % (4151718)Detected formulas, will run a generic FOF schedule.
% 14.11/3.02 % (4151727)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3262985437:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.11/3.02 % (4151723)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4101111026:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.11/3.02 % (4151725)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3853545050:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.11/3.02 % (4151724)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1480504324:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.11/3.02 % (4151727)Instruction limit reached!
% 14.11/3.02 % (4151727)------------------------------
% 14.11/3.02 % (4151727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.11/3.02 % (4151727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/3.02 % (4151727)CaDiCaL version: 2.1.3
% 14.11/3.02 % (4151727)Termination reason: Instruction limit
% 14.11/3.02 % (4151727)Termination phase: Saturation
% 14.11/3.02 % (4151727)Time elapsed: 0.041 s
% 14.11/3.02 % (4151727)Peak memory usage: 90 MB
% 14.11/3.02 % (4151727)Instructions burned: 120 (million)
% 14.11/3.02 % (4151729)dis-21_1_sil=8000:lcm=predicate:random_seed=1054721194:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 14.11/3.02 % (4151726)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1664033605:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.11/3.02 % (4151728)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3678854171:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.11/3.02 % (4151726)Instruction limit reached!
% 14.11/3.02 % (4151726)------------------------------
% 14.11/3.02 % (4151726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.11/3.02 % (4151726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/3.02 % (4151726)CaDiCaL version: 2.1.3
% 14.11/3.02 % (4151726)Termination reason: Instruction limit
% 14.11/3.02 % (4151726)Termination phase: Saturation
% 14.11/3.02 % (4151726)Time elapsed: 0.061 s
% 14.11/3.02 % (4151726)Peak memory usage: 91 MB
% 14.11/3.02 % (4151726)Instructions burned: 109 (million)
% 14.11/3.02 % (4151729)Instruction limit reached!
% 14.11/3.02 % (4151729)------------------------------
% 14.11/3.02 % (4151729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.11/3.02 % (4151729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/3.02 % (4151729)CaDiCaL version: 2.1.3
% 14.11/3.02 % (4151729)Termination reason: Instruction limit
% 14.11/3.02 % (4151729)Termination phase: Saturation
% 14.11/3.02 % (4151729)Time elapsed: 0.066 s
% 14.11/3.02 % (4151729)Peak memory usage: 90 MB
% 14.11/3.02 % (4151729)Instructions burned: 129 (million)
% 14.11/3.02 % (4151728)Instruction limit reached!
% 14.11/3.02 % (4151728)------------------------------
% 14.11/3.02 % (4151728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.11/3.02 % (4151728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/3.02 % (4151728)CaDiCaL version: 2.1.3
% 14.11/3.02 % (4151728)Termination reason: Instruction limit
% 14.11/3.02 % (4151728)Termination phase: Saturation
% 14.11/3.02 % (4151728)Time elapsed: 0.091 s
% 14.11/3.02 % (4151728)Peak memory usage: 91 MB
% 14.11/3.02 % (4151728)Instructions burned: 140 (million)
% 14.11/3.02 % (4151734)lrs+10_1_sil=8000:sp=occurrence:random_seed=2016147500:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 14.11/3.02 % (4151734)Instruction limit reached!
% 14.11/3.02 % (4151734)------------------------------
% 14.11/3.02 % (4151734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.11/3.02 % (4151734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/3.02 % (4151734)CaDiCaL version: 2.1.3
% 14.11/3.02 % (4151734)Termination reason: Instruction limit
% 14.11/3.02 % (4151734)Termination phase: Saturation
% 14.11/3.02 % (4151734)Time elapsed: 0.101 s
% 14.11/3.02 % (4151734)Peak memory usage: 95 MB
% 14.11/3.02 % (4151734)Instructions burned: 288 (million)
% 21.00/3.92 % (4151738)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1335008061:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 21.00/3.92 % (4151739)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1489428211:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 21.00/3.92 % (4151740)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4176381973:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 21.00/3.92 % (4151738)Instruction limit reached!
% 21.00/3.92 % (4151738)------------------------------
% 21.00/3.92 % (4151738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.92 % (4151738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.92 % (4151738)CaDiCaL version: 2.1.3
% 21.00/3.92 % (4151738)Termination reason: Instruction limit
% 21.00/3.92 % (4151738)Termination phase: Saturation
% 21.00/3.92 % (4151738)Time elapsed: 0.097 s
% 21.00/3.92 % (4151738)Peak memory usage: 91 MB
% 21.00/3.92 % (4151738)Instructions burned: 157 (million)
% 21.00/3.92 % (4151743)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3375896557:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 21.00/3.92 % (4151740)Instruction limit reached!
% 21.00/3.92 % (4151740)------------------------------
% 21.00/3.92 % (4151740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.92 % (4151740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.92 % (4151740)CaDiCaL version: 2.1.3
% 21.00/3.92 % (4151740)Termination reason: Instruction limit
% 21.00/3.92 % (4151740)Termination phase: Saturation
% 21.00/3.92 % (4151740)Time elapsed: 0.159 s
% 21.00/3.92 % (4151740)Peak memory usage: 93 MB
% 21.00/3.92 % (4151740)Instructions burned: 249 (million)
% 21.00/3.92 % (4151743)Instruction limit reached!
% 21.00/3.92 % (4151743)------------------------------
% 21.00/3.92 % (4151743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.92 % (4151743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.92 % (4151743)CaDiCaL version: 2.1.3
% 21.00/3.92 % (4151743)Termination reason: Instruction limit
% 21.00/3.92 % (4151743)Termination phase: Saturation
% 21.00/3.92 % (4151743)Time elapsed: 0.100 s
% 21.00/3.92 % (4151743)Peak memory usage: 93 MB
% 21.00/3.92 % (4151743)Instructions burned: 296 (million)
% 21.00/3.92 % (4151739)Instruction limit reached!
% 21.00/3.92 % (4151739)------------------------------
% 21.00/3.92 % (4151739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.92 % (4151739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.92 % (4151739)CaDiCaL version: 2.1.3
% 21.00/3.92 % (4151739)Termination reason: Instruction limit
% 21.00/3.92 % (4151739)Termination phase: Saturation
% 21.00/3.92 % (4151739)Time elapsed: 0.222 s
% 21.00/3.92 % (4151739)Peak memory usage: 94 MB
% 21.00/3.92 % (4151739)Instructions burned: 326 (million)
% 21.00/3.92 % (4151746)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2011688914:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 21.00/3.92 % (4151749)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=40318883:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 21.00/3.92 % (4151748)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2326279451:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 21.00/3.92 % (4151749)Instruction limit reached!
% 21.00/3.92 % (4151749)------------------------------
% 21.00/3.92 % (4151749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.92 % (4151749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.92 % (4151749)CaDiCaL version: 2.1.3
% 21.00/3.92 % (4151749)Termination reason: Instruction limit
% 21.00/3.92 % (4151749)Termination phase: Saturation
% 21.00/3.92 % (4151749)Time elapsed: 0.038 s
% 21.00/3.92 % (4151749)Peak memory usage: 91 MB
% 21.00/3.92 % (4151749)Instructions burned: 128 (million)
% 21.00/3.92 % (4151750)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=722875559:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 21.00/3.92 % (4151748)Instruction limit reached!
% 21.00/3.92 % (4151748)------------------------------
% 21.00/3.92 % (4151748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.92 % (4151748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/9.28 % (4151748)CaDiCaL version: 2.1.3
% 59.39/9.28 % (4151748)Termination reason: Instruction limit
% 59.39/9.28 % (4151748)Termination phase: Saturation
% 59.39/9.28 % (4151748)Time elapsed: 0.068 s
% 59.39/9.28 % (4151748)Peak memory usage: 91 MB
% 59.39/9.28 % (4151748)Instructions burned: 113 (million)
% 59.39/9.28 % (4151750)Instruction limit reached!
% 59.39/9.28 % (4151750)------------------------------
% 59.39/9.28 % (4151750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/9.28 % (4151750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/9.28 % (4151750)CaDiCaL version: 2.1.3
% 59.39/9.28 % (4151750)Termination reason: Instruction limit
% 59.39/9.28 % (4151750)Termination phase: Saturation
% 59.39/9.28 % (4151750)Time elapsed: 0.056 s
% 59.39/9.28 % (4151750)Peak memory usage: 89 MB
% 59.39/9.28 % (4151750)Instructions burned: 116 (million)
% 59.39/9.28 % (4151754)lrs+10_1_sil=8000:sp=occurrence:random_seed=2988546149:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 59.39/9.28 % (4151756)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1709931704:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 59.39/9.28 % (4151757)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2749371696:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 59.39/9.28 % (4151756)Instruction limit reached!
% 59.39/9.28 % (4151756)------------------------------
% 59.39/9.28 % (4151756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/9.28 % (4151756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/9.28 % (4151756)CaDiCaL version: 2.1.3
% 59.39/9.28 % (4151756)Termination reason: Instruction limit
% 59.39/9.28 % (4151756)Termination phase: Saturation
% 59.39/9.28 % (4151756)Time elapsed: 0.265 s
% 59.39/9.28 % (4151756)Peak memory usage: 95 MB
% 59.39/9.28 % (4151756)Instructions burned: 438 (million)
% 59.39/9.28 % (4151761)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=618224201:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 59.39/9.28 % (4151761)Instruction limit reached!
% 59.39/9.28 % (4151761)------------------------------
% 59.39/9.28 % (4151761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/9.28 % (4151761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/9.28 % (4151761)CaDiCaL version: 2.1.3
% 59.39/9.28 % (4151761)Termination reason: Instruction limit
% 59.39/9.28 % (4151761)Termination phase: Saturation
% 59.39/9.28 % (4151761)Time elapsed: 0.075 s
% 59.39/9.28 % (4151761)Peak memory usage: 92 MB
% 59.39/9.28 % (4151761)Instructions burned: 136 (million)
% 59.39/9.28 % (4151754)Instruction limit reached!
% 59.39/9.28 % (4151754)------------------------------
% 59.39/9.28 % (4151754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/9.28 % (4151754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/9.28 % (4151754)CaDiCaL version: 2.1.3
% 59.39/9.28 % (4151754)Termination reason: Instruction limit
% 59.39/9.28 % (4151754)Termination phase: Saturation
% 59.39/9.28 % (4151754)Time elapsed: 0.560 s
% 59.39/9.28 % (4151754)Peak memory usage: 103 MB
% 59.39/9.28 % (4151754)Instructions burned: 908 (million)
% 59.39/9.28 % (4151764)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3551876350:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 59.39/9.28 % (4151763)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=374057572:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 59.39/9.28 % (4151763)Instruction limit reached!
% 59.39/9.28 % (4151763)------------------------------
% 59.39/9.28 % (4151763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.39/9.28 % (4151763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.39/9.28 % (4151763)CaDiCaL version: 2.1.3
% 59.39/9.28 % (4151763)Termination reason: Instruction limit
% 59.39/9.28 % (4151763)Termination phase: Saturation
% 59.39/9.28 % (4151763)Time elapsed: 0.353 s
% 59.39/9.28 % (4151763)Peak memory usage: 99 MB
% 59.39/9.28 % (4151763)Instructions burned: 592 (million)
% 59.39/9.28 % (4151767)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2577911370:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 83.49/12.70 % (4151746)Instruction limit reached!
% 83.49/12.70 % (4151746)------------------------------
% 83.49/12.70 % (4151746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.49/12.70 % (4151746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.49/12.70 % (4151746)CaDiCaL version: 2.1.3
% 83.49/12.70 % (4151746)Termination reason: Instruction limit
% 83.49/12.70 % (4151746)Termination phase: Saturation
% 83.49/12.70 % (4151746)Time elapsed: 1.485 s
% 83.49/12.70 % (4151746)Peak memory usage: 149 MB
% 83.49/12.70 % (4151746)Instructions burned: 2351 (million)
% 83.49/12.70 % (4151767)Instruction limit reached!
% 83.49/12.70 % (4151767)------------------------------
% 83.49/12.70 % (4151767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.49/12.70 % (4151767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.49/12.70 % (4151767)CaDiCaL version: 2.1.3
% 83.49/12.70 % (4151767)Termination reason: Instruction limit
% 83.49/12.70 % (4151767)Termination phase: Saturation
% 83.49/12.70 % (4151767)Time elapsed: 0.083 s
% 83.49/12.70 % (4151767)Peak memory usage: 92 MB
% 83.49/12.70 % (4151767)Instructions burned: 126 (million)
% 83.49/12.70 % (4151769)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4003824848:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 83.49/12.70 % (4151770)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1923626581:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 83.49/12.70 % (4151769)Instruction limit reached!
% 83.49/12.70 % (4151769)------------------------------
% 83.49/12.70 % (4151769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.49/12.70 % (4151769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.49/12.70 % (4151769)CaDiCaL version: 2.1.3
% 83.49/12.70 % (4151769)Termination reason: Instruction limit
% 83.49/12.70 % (4151769)Termination phase: Saturation
% 83.49/12.70 % (4151769)Time elapsed: 0.076 s
% 83.49/12.70 % (4151769)Peak memory usage: 92 MB
% 83.49/12.70 % (4151769)Instructions burned: 134 (million)
% 83.49/12.70 % (4151770)Instruction limit reached!
% 83.49/12.70 % (4151770)------------------------------
% 83.49/12.70 % (4151770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.49/12.70 % (4151770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.49/12.70 % (4151770)CaDiCaL version: 2.1.3
% 83.49/12.70 % (4151770)Termination reason: Instruction limit
% 83.49/12.70 % (4151770)Termination phase: Saturation
% 83.49/12.70 % (4151770)Time elapsed: 0.077 s
% 83.49/12.70 % (4151770)Peak memory usage: 92 MB
% 83.49/12.70 % (4151770)Instructions burned: 142 (million)
% 83.49/12.70 % (4151773)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3381089262:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 83.49/12.70 % (4151774)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1421321331:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 83.49/12.70 % (4151773)Instruction limit reached!
% 83.49/12.70 % (4151773)------------------------------
% 83.49/12.70 % (4151773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.49/12.70 % (4151773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.49/12.70 % (4151773)CaDiCaL version: 2.1.3
% 83.49/12.70 % (4151773)Termination reason: Instruction limit
% 83.49/12.70 % (4151773)Termination phase: Saturation
% 83.49/12.70 % (4151773)Time elapsed: 0.248 s
% 83.49/12.70 % (4151773)Peak memory usage: 94 MB
% 83.49/12.70 % (4151773)Instructions burned: 432 (million)
% 83.49/12.70 % (4151777)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2229624917:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 83.49/12.70 % (4151777)Instruction limit reached!
% 83.49/12.70 % (4151777)------------------------------
% 83.49/12.70 % (4151777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.49/12.70 % (4151777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.49/12.70 % (4151777)CaDiCaL version: 2.1.3
% 83.49/12.70 % (4151777)Termination reason: Instruction limit
% 83.49/12.70 % (4151777)Termination phase: Saturation
% 83.49/12.70 % (4151777)Time elapsed: 0.084 s
% 83.49/12.70 % (4151777)Peak memory usage: 92 MB
% 120.50/18.00 % (4151777)Instructions burned: 151 (million)
% 120.50/18.00 % (4151779)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=650308749:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 120.50/18.00 % (4151757)Instruction limit reached!
% 120.50/18.00 % (4151757)------------------------------
% 120.50/18.00 % (4151757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.50/18.00 % (4151757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.50/18.00 % (4151757)CaDiCaL version: 2.1.3
% 120.50/18.00 % (4151757)Termination reason: Instruction limit
% 120.50/18.00 % (4151757)Termination phase: Saturation
% 120.50/18.00 % (4151757)Time elapsed: 3.237 s
% 120.50/18.00 % (4151757)Peak memory usage: 166 MB
% 120.50/18.00 % (4151757)Instructions burned: 5202 (million)
% 120.50/18.00 % (4151781)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3994403227:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 120.50/18.00 % (4151781)Instruction limit reached!
% 120.50/18.00 % (4151781)------------------------------
% 120.50/18.00 % (4151781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.50/18.00 % (4151781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.50/18.00 % (4151781)CaDiCaL version: 2.1.3
% 120.50/18.00 % (4151781)Termination reason: Instruction limit
% 120.50/18.00 % (4151781)Termination phase: Saturation
% 120.50/18.00 % (4151781)Time elapsed: 0.304 s
% 120.50/18.00 % (4151781)Peak memory usage: 92 MB
% 120.50/18.00 % (4151781)Instructions burned: 667 (million)
% 120.50/18.00 % (4151783)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1544923198:s2a=on:i=185:s2at=1.8:fdi=4_2952 on theBenchmark for (2952ds/185Mi)
% 120.50/18.00 % (4151783)Instruction limit reached!
% 120.50/18.00 % (4151783)------------------------------
% 120.50/18.00 % (4151783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.50/18.00 % (4151783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.50/18.00 % (4151783)CaDiCaL version: 2.1.3
% 120.50/18.00 % (4151783)Termination reason: Instruction limit
% 120.50/18.00 % (4151783)Termination phase: Saturation
% 120.50/18.00 % (4151783)Time elapsed: 0.097 s
% 120.50/18.00 % (4151783)Peak memory usage: 92 MB
% 120.50/18.00 % (4151783)Instructions burned: 186 (million)
% 120.50/18.00 % (4151785)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1716920243:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2949 on theBenchmark for (2949ds/193Mi)
% 120.50/18.00 % (4151785)Instruction limit reached!
% 120.50/18.00 % (4151785)------------------------------
% 120.50/18.00 % (4151785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.50/18.00 % (4151785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.50/18.00 % (4151785)CaDiCaL version: 2.1.3
% 120.50/18.00 % (4151785)Termination reason: Instruction limit
% 120.50/18.00 % (4151785)Termination phase: Saturation
% 120.50/18.00 % (4151785)Time elapsed: 0.107 s
% 120.50/18.00 % (4151785)Peak memory usage: 94 MB
% 120.50/18.00 % (4151785)Instructions burned: 194 (million)
% 120.50/18.00 % (4151787)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=363315614:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2947 on theBenchmark for (2947ds/4850Mi)
% 120.50/18.00 % (4151774)Instruction limit reached!
% 120.50/18.00 % (4151774)------------------------------
% 120.50/18.00 % (4151774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.50/18.00 % (4151774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.50/18.00 % (4151774)CaDiCaL version: 2.1.3
% 120.50/18.00 % (4151774)Termination reason: Instruction limit
% 120.50/18.00 % (4151774)Termination phase: Saturation
% 120.50/18.00 % (4151774)Time elapsed: 3.860 s
% 120.50/18.00 % (4151774)Peak memory usage: 172 MB
% 120.50/18.00 % (4151774)Instructions burned: 6061 (million)
% 120.50/18.00 % (4151789)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2036409419:i=12111:sd=1:ss=included_2934 on theBenchmark for (2934ds/12111Mi)
% 120.50/18.00 % (4151787)Instruction limit reached!
% 120.50/18.00 % (4151787)------------------------------
% 120.50/18.00 % (4151787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.50/18.00 % (4151787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.50/18.00 % (4151787)CaDiCaL version: 2.1.3
% 152.07/22.34 % (4151787)Termination reason: Instruction limit
% 152.07/22.34 % (4151787)Termination phase: Saturation
% 152.07/22.34 % (4151787)Time elapsed: 2.980 s
% 152.07/22.34 % (4151787)Peak memory usage: 145 MB
% 152.07/22.34 % (4151787)Instructions burned: 4853 (million)
% 152.07/22.34 % (4151791)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3517755582:i=319:kws=precedence:fsr=off_2915 on theBenchmark for (2915ds/319Mi)
% 152.07/22.34 % (4151791)Instruction limit reached!
% 152.07/22.34 % (4151791)------------------------------
% 152.07/22.34 % (4151791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.07/22.34 % (4151791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.07/22.34 % (4151791)CaDiCaL version: 2.1.3
% 152.07/22.34 % (4151791)Termination reason: Instruction limit
% 152.07/22.34 % (4151791)Termination phase: Saturation
% 152.07/22.34 % (4151791)Time elapsed: 0.177 s
% 152.07/22.34 % (4151791)Peak memory usage: 95 MB
% 152.07/22.34 % (4151791)Instructions burned: 321 (million)
% 152.07/22.34 % (4151793)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2661860599:i=2064:ep=RST_2912 on theBenchmark for (2912ds/2064Mi)
% 152.07/22.34 % (4151764)Instruction limit reached!
% 152.07/22.34 % (4151764)------------------------------
% 152.07/22.34 % (4151764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.07/22.34 % (4151764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.07/22.34 % (4151764)CaDiCaL version: 2.1.3
% 152.07/22.34 % (4151764)Termination reason: Instruction limit
% 152.07/22.34 % (4151764)Termination phase: Saturation
% 152.07/22.34 % (4151764)Time elapsed: 7.873 s
% 152.07/22.34 % (4151764)Peak memory usage: 237 MB
% 152.07/22.34 % (4151764)Instructions burned: 13194 (million)
% 152.07/22.34 % (4151795)dis-1011_128_sil=32000:random_seed=1949213230:i=3706:ep=RST:av=off_2904 on theBenchmark for (2904ds/3706Mi)
% 152.07/22.34 % (4151793)Instruction limit reached!
% 152.07/22.34 % (4151793)------------------------------
% 152.07/22.34 % (4151793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.07/22.34 % (4151793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.07/22.34 % (4151793)CaDiCaL version: 2.1.3
% 152.07/22.34 % (4151793)Termination reason: Instruction limit
% 152.07/22.34 % (4151793)Termination phase: Saturation
% 152.07/22.34 % (4151793)Time elapsed: 1.068 s
% 152.07/22.34 % (4151793)Peak memory usage: 113 MB
% 152.07/22.34 % (4151793)Instructions burned: 2064 (million)
% 152.07/22.34 % (4151797)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1244056946:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2899 on theBenchmark for (2899ds/757Mi)
% 152.07/22.34 % (4151797)Instruction limit reached!
% 152.07/22.34 % (4151797)------------------------------
% 152.07/22.34 % (4151797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.07/22.34 % (4151797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.07/22.34 % (4151797)CaDiCaL version: 2.1.3
% 152.07/22.34 % (4151797)Termination reason: Instruction limit
% 152.07/22.34 % (4151797)Termination phase: Saturation
% 152.07/22.34 % (4151797)Time elapsed: 0.554 s
% 152.07/22.34 % (4151797)Peak memory usage: 109 MB
% 152.07/22.34 % (4151797)Instructions burned: 757 (million)
% 152.07/22.34 % (4151799)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3069600123:i=13913:ss=axioms:sgt=8_2892 on theBenchmark for (2892ds/13913Mi)
% 152.07/22.34 % (4151795)Instruction limit reached!
% 152.07/22.34 % (4151795)------------------------------
% 152.07/22.34 % (4151795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.07/22.34 % (4151795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.07/22.34 % (4151795)CaDiCaL version: 2.1.3
% 152.07/22.34 % (4151795)Termination reason: Instruction limit
% 152.07/22.34 % (4151795)Termination phase: Saturation
% 152.07/22.34 % (4151795)Time elapsed: 1.944 s
% 152.07/22.34 % (4151795)Peak memory usage: 121 MB
% 152.07/22.34 % (4151795)Instructions burned: 3706 (million)
% 152.07/22.34 % (4151801)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=54884126:i=9925:aac=none_2883 on theBenchmark for (2883ds/9925Mi)
% 152.07/22.34 % (4151779)Instruction limit reached!
% 152.07/22.34 % (4151779)------------------------------
% 152.07/22.34 % (4151779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.07/22.34 % (4151779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.07/22.34 % (4151779)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151779)Termination reason: Instruction limit
% 160.20/23.49 % (4151779)Termination phase: Saturation
% 160.20/23.49 % (4151779)Time elapsed: 8.602 s
% 160.20/23.49 % (4151779)Peak memory usage: 246 MB
% 160.20/23.49 % (4151779)Instructions burned: 14155 (million)
% 160.20/23.49 % (4151803)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=32057843:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2881 on theBenchmark for (2881ds/2479Mi)
% 160.20/23.49 % (4151789)Instruction limit reached!
% 160.20/23.49 % (4151789)------------------------------
% 160.20/23.49 % (4151789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151789)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151789)Termination reason: Instruction limit
% 160.20/23.49 % (4151789)Termination phase: Saturation
% 160.20/23.49 % (4151789)Time elapsed: 6.720 s
% 160.20/23.49 % (4151789)Peak memory usage: 261 MB
% 160.20/23.49 % (4151789)Instructions burned: 12113 (million)
% 160.20/23.49 % (4151803)Instruction limit reached!
% 160.20/23.49 % (4151803)------------------------------
% 160.20/23.49 % (4151803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151803)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151803)Termination reason: Instruction limit
% 160.20/23.49 % (4151803)Termination phase: Saturation
% 160.20/23.49 % (4151803)Time elapsed: 1.512 s
% 160.20/23.49 % (4151803)Peak memory usage: 109 MB
% 160.20/23.49 % (4151803)Instructions burned: 2480 (million)
% 160.20/23.49 % (4151805)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3925302146:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2865 on theBenchmark for (2865ds/440Mi)
% 160.20/23.49 % (4151806)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2891244379:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2864 on theBenchmark for (2864ds/11145Mi)
% 160.20/23.49 % (4151805)Instruction limit reached!
% 160.20/23.49 % (4151805)------------------------------
% 160.20/23.49 % (4151805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151805)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151805)Termination reason: Instruction limit
% 160.20/23.49 % (4151805)Termination phase: Saturation
% 160.20/23.49 % (4151805)Time elapsed: 0.251 s
% 160.20/23.49 % (4151805)Peak memory usage: 96 MB
% 160.20/23.49 % (4151805)Instructions burned: 440 (million)
% 160.20/23.49 % (4151809)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=682231422:cts=off:i=3034:av=off:er=known:fsd=on_2861 on theBenchmark for (2861ds/3034Mi)
% 160.20/23.49 % (4151809)Instruction limit reached!
% 160.20/23.49 % (4151809)------------------------------
% 160.20/23.49 % (4151809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151809)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151809)Termination reason: Instruction limit
% 160.20/23.49 % (4151809)Termination phase: Saturation
% 160.20/23.49 % (4151809)Time elapsed: 1.881 s
% 160.20/23.49 % (4151809)Peak memory usage: 149 MB
% 160.20/23.49 % (4151809)Instructions burned: 3034 (million)
% 160.20/23.49 % (4151811)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=891190216:st=2:s2a=on:i=524:s2at=2:ss=axioms_2841 on theBenchmark for (2841ds/524Mi)
% 160.20/23.49 % (4151811)Instruction limit reached!
% 160.20/23.49 % (4151811)------------------------------
% 160.20/23.49 % (4151811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151811)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151811)Termination reason: Instruction limit
% 160.20/23.49 % (4151811)Termination phase: Saturation
% 160.20/23.49 % (4151811)Time elapsed: 0.298 s
% 160.20/23.49 % (4151811)Peak memory usage: 97 MB
% 160.20/23.49 % (4151811)Instructions burned: 525 (million)
% 160.20/23.49 % (4151813)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2698445097:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2836 on theBenchmark for (2836ds/1016Mi)
% 160.20/23.49 % (4151813)Instruction limit reached!
% 160.20/23.49 % (4151813)------------------------------
% 160.20/23.49 % (4151813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151813)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151813)Termination reason: Instruction limit
% 160.20/23.49 % (4151813)Termination phase: Saturation
% 160.20/23.49 % (4151813)Time elapsed: 0.617 s
% 160.20/23.49 % (4151813)Peak memory usage: 120 MB
% 160.20/23.49 % (4151813)Instructions burned: 1016 (million)
% 160.20/23.49 % (4151815)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3731314657:i=14123:bd=preordered:ins=4_2828 on theBenchmark for (2828ds/14123Mi)
% 160.20/23.49 % (4151801)Instruction limit reached!
% 160.20/23.49 % (4151801)------------------------------
% 160.20/23.49 % (4151801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151801)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151801)Termination reason: Instruction limit
% 160.20/23.49 % (4151801)Termination phase: Saturation
% 160.20/23.49 % (4151801)Time elapsed: 5.790 s
% 160.20/23.49 % (4151801)Peak memory usage: 207 MB
% 160.20/23.49 % (4151801)Instructions burned: 9925 (million)
% 160.20/23.49 % (4151817)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=600213787:i=5781:kws=precedence:bd=all:rawr=on_2823 on theBenchmark for (2823ds/5781Mi)
% 160.20/23.49 % (4151799)Instruction limit reached!
% 160.20/23.49 % (4151799)------------------------------
% 160.20/23.49 % (4151799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151799)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151799)Termination reason: Instruction limit
% 160.20/23.49 % (4151799)Termination phase: Saturation
% 160.20/23.49 % (4151799)Time elapsed: 8.637 s
% 160.20/23.49 % (4151799)Peak memory usage: 236 MB
% 160.20/23.49 % (4151799)Instructions burned: 13913 (million)
% 160.20/23.49 % (4151819)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=1610054310:i=2448:gtgl=5:bd=preordered:gtg=all_2804 on theBenchmark for (2804ds/2448Mi)
% 160.20/23.49 % (4151817)Instruction limit reached!
% 160.20/23.49 % (4151817)------------------------------
% 160.20/23.49 % (4151817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151817)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151817)Termination reason: Instruction limit
% 160.20/23.49 % (4151817)Termination phase: Saturation
% 160.20/23.49 % (4151817)Time elapsed: 3.326 s
% 160.20/23.49 % (4151817)Peak memory usage: 147 MB
% 160.20/23.49 % (4151817)Instructions burned: 5782 (million)
% 160.20/23.49 % (4151819)Instruction limit reached!
% 160.20/23.49 % (4151819)------------------------------
% 160.20/23.49 % (4151819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.49 % (4151819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.49 % (4151819)CaDiCaL version: 2.1.3
% 160.20/23.49 % (4151819)Termination reason: Instruction limit
% 160.20/23.49 % (4151819)Termination phase: Saturation
% 160.20/23.49 % (4151819)Time elapsed: 1.463 s
% 160.20/23.49 % (4151819)Peak memory usage: 148 MB
% 160.20/23.49 % (4151819)Instructions burned: 2449 (million)
% 160.20/23.50 % (4151821)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3887671414:i=3223:kws=precedence:fgj=on:av=off_2788 on theBenchmark for (2788ds/3223Mi)
% 160.20/23.50 % (4151806)Instruction limit reached!
% 160.20/23.50 % (4151806)------------------------------
% 160.20/23.50 % (4151806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.20/23.50 % (4151806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.20/23.50 % (4151806)CaDiCaL version: 2.1.3
% 160.20/23.50 % (4151806)Termination reason: Instruction limit
% 160.20/23.50 % (4151806)Termination phase: Saturation
% 160.20/23.50 % (4151806)Time elapsed: 7.599 s
% 160.20/23.50 % (4151806)Peak memory usage: 212 MB
% 160.20/23.50 % (4151806)Instructions burned: 11146 (million)
% 160.20/23.50 % (4151822)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=607872645:st=5.6:i=2033:sd=3:ss=axioms_2787 on theBenchmark for (2787ds/2033Mi)
% 160.20/23.50 % (4151824)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1577252758:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2786 on theBenchmark for (2786ds/2055Mi)
% 160.20/23.50 % (4151824)First to succeed.
% 160.20/23.50 % (4151824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4151718"
% 160.20/23.50 % (4151824)Refutation found. Thanks to Tanya!
% 160.20/23.50 % SZS status Theorem for theBenchmark
% 160.20/23.50 % SZS output start Proof for theBenchmark
% See solution above
% 160.73/23.70 % (4151824)------------------------------
% 160.73/23.70 % (4151824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 160.73/23.70 % (4151824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 160.73/23.70 % (4151824)CaDiCaL version: 2.1.3
% 160.73/23.70 % (4151824)Termination reason: Refutation
% 160.73/23.70 % (4151824)Time elapsed: 0.820 s
% 160.73/23.70 % (4151824)Peak memory usage: 137 MB
% 160.73/23.70 % (4151824)Instructions burned: 1237 (million)
% 160.73/23.70 % (4151824)------------------------------
% 160.73/23.70 % (4151824)------------------------------
% 160.73/23.70 % (4151718)Success in time 22.633 s
% 160.73/23.70 % Vampire exiting
%------------------------------------------------------------------------------