%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU298+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 : n012.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 12:48:13 PM UTC 2026
% Result : Theorem 9.61s 2.07s
% Output : Refutation 9.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 134 ( 18 unt; 10 def)
% Number of atoms : 540 ( 123 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 635 ( 229 ~; 271 |; 109 &)
% ( 16 <=>; 8 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 2 con; 0-3 aty)
% Number of variables : 215 ( 0 sgn 141 !; 74 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f233,axiom,
! [X0,X1] :
( ( ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) )
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& ? [X5] :
( in(X5,X1)
& X3 = set_difference(X5,singleton(X0)) )
& X2 = X4
& ? [X6] :
( in(X6,X1)
& X4 = set_difference(X6,singleton(X0)) ) )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,powerset(X0))
& X4 = X3
& ? [X7] :
( in(X7,X1)
& X3 = set_difference(X7,singleton(X0)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e4_27_3_1__finset_1__1) ).
fof(f240,conjecture,
! [X0,X1] :
( ( ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(X0))
& ? [X4] :
( in(X4,X1)
& X3 = set_difference(X4,singleton(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e4_27_3_1__finset_1) ).
fof(f241,negated_conjecture,
~ ! [X0,X1] :
( ( ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(X0))
& ? [X4] :
( in(X4,X1)
& X3 = set_difference(X4,singleton(X0)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f240]) ).
fof(f383,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f427,plain,
! [X0,X1] :
( ( ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) )
=> ( ! [X2,X3,X4] :
( ( X2 = X3
& ? [X5] :
( in(X5,X1)
& X3 = set_difference(X5,singleton(X0)) )
& X2 = X4
& ? [X6] :
( in(X6,X1)
& X4 = set_difference(X6,singleton(X0)) ) )
=> X3 = X4 )
=> ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,powerset(X0))
& X8 = X9
& ? [X10] :
( in(X10,X1)
& set_difference(X10,singleton(X0)) = X8 ) ) ) ) ),
inference(rectify,[],[f233]) ).
fof(f625,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,powerset(X0))
& X8 = X9
& ? [X10] :
( in(X10,X1)
& set_difference(X10,singleton(X0)) = X8 ) ) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( in(X5,X1)
& X3 = set_difference(X5,singleton(X0)) )
& X2 = X4
& ? [X6] :
( in(X6,X1)
& X4 = set_difference(X6,singleton(X0)) ) )
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(ennf_transformation,[],[f427]) ).
fof(f626,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,powerset(X0))
& X8 = X9
& ? [X10] :
( in(X10,X1)
& set_difference(X10,singleton(X0)) = X8 ) ) )
| ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( in(X5,X1)
& X3 = set_difference(X5,singleton(X0)) )
& X2 = X4
& ? [X6] :
( in(X6,X1)
& X4 = set_difference(X6,singleton(X0)) ) )
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(flattening,[],[f625]) ).
fof(f637,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(X3,powerset(X0))
& ? [X4] :
( in(X4,X1)
& X3 = set_difference(X4,singleton(X0)) ) ) )
& ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) ),
inference(ennf_transformation,[],[f241]) ).
fof(f638,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(X3,powerset(X0))
& ? [X4] :
( in(X4,X1)
& X3 = set_difference(X4,singleton(X0)) ) ) )
& ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) ),
inference(flattening,[],[f637]) ).
fof(f859,definition,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( in(X5,X1)
& X3 = set_difference(X5,singleton(X0)) )
& X2 = X4
& ? [X6] :
( in(X6,X1)
& X4 = set_difference(X6,singleton(X0)) ) )
| ~ sP6(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f860,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,powerset(X0))
& X8 = X9
& ? [X10] :
( in(X10,X1)
& set_difference(X10,singleton(X0)) = X8 ) ) )
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(definition_folding,[],[f626,f859]) ).
fof(f1129,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( in(X5,X1)
& X3 = set_difference(X5,singleton(X0)) )
& X2 = X4
& ? [X6] :
( in(X6,X1)
& X4 = set_difference(X6,singleton(X0)) ) )
| ~ sP6(X1,X0) ),
inference(nnf_transformation,[],[f859]) ).
fof(f1130,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( in(X5,X0)
& set_difference(X5,singleton(X1)) = X3 )
& X2 = X4
& ? [X6] :
( in(X6,X0)
& set_difference(X6,singleton(X1)) = X4 ) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f1129]) ).
fof(f1131,plain,
! [X0,X1] :
( ( sK193(X0,X1) != sK194(X0,X1)
& sK192(X0,X1) = sK193(X0,X1)
& in(sK195(X0,X1),X0)
& sK193(X0,X1) = set_difference(sK195(X0,X1),singleton(X1))
& sK192(X0,X1) = sK194(X0,X1)
& in(sK196(X0,X1),X0)
& sK194(X0,X1) = set_difference(sK196(X0,X1),singleton(X1)) )
| ~ sP6(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK192,sK193,sK194,sK195,sK196]),skolemize(X2,sK192(X0,X1)),skolemize(X3,sK193(X0,X1)),skolemize(X4,sK194(X0,X1)),skolemize(X5,sK195(X0,X1)),skolemize(X6,sK196(X0,X1))],[f1130]) ).
fof(f1132,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( ( in(X8,X7)
| ! [X9] :
( ~ in(X9,powerset(X0))
| X8 != X9
| ! [X10] :
( ~ in(X10,X1)
| set_difference(X10,singleton(X0)) != X8 ) ) )
& ( ? [X9] :
( in(X9,powerset(X0))
& X8 = X9
& ? [X10] :
( in(X10,X1)
& set_difference(X10,singleton(X0)) = X8 ) )
| ~ in(X8,X7) ) )
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(nnf_transformation,[],[f860]) ).
fof(f1133,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,powerset(X0))
| X3 != X4
| ! [X5] :
( ~ in(X5,X1)
| set_difference(X5,singleton(X0)) != X3 ) ) )
& ( ? [X6] :
( in(X6,powerset(X0))
& X3 = X6
& ? [X7] :
( in(X7,X1)
& set_difference(X7,singleton(X0)) = X3 ) )
| ~ in(X3,X2) ) )
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(rectify,[],[f1132]) ).
fof(f1134,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK197(X0,X1))
| ! [X4] :
( ~ in(X4,powerset(X0))
| X3 != X4
| ! [X5] :
( ~ in(X5,X1)
| set_difference(X5,singleton(X0)) != X3 ) ) )
& ( ( in(sK198(X0,X1,X3),powerset(X0))
& sK198(X0,X1,X3) = X3
& in(sK199(X0,X1,X3),X1)
& set_difference(sK199(X0,X1,X3),singleton(X0)) = X3 )
| ~ in(X3,sK197(X0,X1)) ) )
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK197,sK198,sK199]),skolemize(X2,sK197(X0,X1)),skolemize(X6,sK198(X0,X1,X3)),skolemize(X7,sK199(X0,X1,X3))],[f1133]) ).
fof(f1167,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,powerset(X0))
| ! [X4] :
( ~ in(X4,X1)
| set_difference(X4,singleton(X0)) != X3 )
| ~ in(X3,X2) )
& ( ( in(X3,powerset(X0))
& ? [X4] :
( in(X4,X1)
& X3 = set_difference(X4,singleton(X0)) ) )
| in(X3,X2) ) )
& ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) ),
inference(nnf_transformation,[],[f638]) ).
fof(f1168,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,powerset(X0))
| ! [X4] :
( ~ in(X4,X1)
| set_difference(X4,singleton(X0)) != X3 )
| ~ in(X3,X2) )
& ( ( in(X3,powerset(X0))
& ? [X4] :
( in(X4,X1)
& X3 = set_difference(X4,singleton(X0)) ) )
| in(X3,X2) ) )
& ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) ),
inference(flattening,[],[f1167]) ).
fof(f1169,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(X3,powerset(X0))
| ! [X4] :
( ~ in(X4,X1)
| set_difference(X4,singleton(X0)) != X3 )
| ~ in(X3,X2) )
& ( ( in(X3,powerset(X0))
& ? [X5] :
( in(X5,X1)
& set_difference(X5,singleton(X0)) = X3 ) )
| in(X3,X2) ) )
& ordinal(X0)
& element(X1,powerset(powerset(succ(X0)))) ),
inference(rectify,[],[f1168]) ).
fof(f1170,plain,
( ! [X2] :
( ( ~ in(sK239(X2),powerset(sK237))
| ! [X4] :
( ~ in(X4,sK238)
| sK239(X2) != set_difference(X4,singleton(sK237)) )
| ~ in(sK239(X2),X2) )
& ( ( in(sK239(X2),powerset(sK237))
& in(sK240(X2),sK238)
& sK239(X2) = set_difference(sK240(X2),singleton(sK237)) )
| in(sK239(X2),X2) ) )
& ordinal(sK237)
& element(sK238,powerset(powerset(succ(sK237)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK237,sK238,sK239,sK240]),skolemize(X0,sK237),skolemize(X1,sK238),skolemize(X3,sK239(X2)),skolemize(X5,sK240(X2))],[f1169]) ).
fof(f1377,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1918,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| sK192(X0,X1) = sK194(X0,X1) ),
inference(cnf_transformation,[],[f1131]) ).
fof(f1921,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| sK192(X0,X1) = sK193(X0,X1) ),
inference(cnf_transformation,[],[f1131]) ).
fof(f1922,plain,
! [X0,X1] :
( sK193(X0,X1) != sK194(X0,X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f1131]) ).
fof(f1923,plain,
! [X3,X0,X1] :
( set_difference(sK199(X0,X1,X3),singleton(X0)) = X3
| ~ in(X3,sK197(X0,X1))
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(cnf_transformation,[],[f1134]) ).
fof(f1924,plain,
! [X3,X0,X1] :
( in(sK199(X0,X1,X3),X1)
| ~ in(X3,sK197(X0,X1))
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(cnf_transformation,[],[f1134]) ).
fof(f1925,plain,
! [X3,X0,X1] :
( sK198(X0,X1,X3) = X3
| ~ in(X3,sK197(X0,X1))
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(cnf_transformation,[],[f1134]) ).
fof(f1926,plain,
! [X3,X0,X1] :
( in(sK198(X0,X1,X3),powerset(X0))
| ~ in(X3,sK197(X0,X1))
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(cnf_transformation,[],[f1134]) ).
fof(f1927,plain,
! [X3,X0,X1,X4,X5] :
( in(X3,sK197(X0,X1))
| ~ in(X4,powerset(X0))
| X3 != X4
| ~ in(X5,X1)
| set_difference(X5,singleton(X0)) != X3
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(succ(X0)))) ),
inference(cnf_transformation,[],[f1134]) ).
fof(f1986,plain,
element(sK238,powerset(powerset(succ(sK237)))),
inference(cnf_transformation,[],[f1170]) ).
fof(f1987,plain,
ordinal(sK237),
inference(cnf_transformation,[],[f1170]) ).
fof(f1988,plain,
! [X2] :
( sK239(X2) = set_difference(sK240(X2),singleton(sK237))
| in(sK239(X2),X2) ),
inference(cnf_transformation,[],[f1170]) ).
fof(f1989,plain,
! [X2] :
( in(sK240(X2),sK238)
| in(sK239(X2),X2) ),
inference(cnf_transformation,[],[f1170]) ).
fof(f1990,plain,
! [X2] :
( in(sK239(X2),powerset(sK237))
| in(sK239(X2),X2) ),
inference(cnf_transformation,[],[f1170]) ).
fof(f1991,plain,
! [X2,X4] :
( ~ in(sK239(X2),powerset(sK237))
| ~ in(X4,sK238)
| sK239(X2) != set_difference(X4,singleton(sK237))
| ~ in(sK239(X2),X2) ),
inference(cnf_transformation,[],[f1170]) ).
fof(f2266,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f383]) ).
fof(f2317,plain,
! [X0] : succ(X0) = set_union2(X0,unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f1377,f2266]) ).
fof(f2515,plain,
! [X3,X0,X1,X4,X5] :
( in(X3,sK197(X0,X1))
| ~ in(X4,powerset(X0))
| X3 != X4
| ~ in(X5,X1)
| set_difference(X5,unordered_pair(X0,X0)) != X3
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(set_union2(X0,unordered_pair(X0,X0))))) ),
inference(definition_unfolding,[],[f1927,f2266,f2317]) ).
fof(f2516,plain,
! [X3,X0,X1] :
( ~ ordinal(X0)
| ~ in(X3,sK197(X0,X1))
| sP6(X1,X0)
| in(sK198(X0,X1,X3),powerset(X0))
| ~ element(X1,powerset(powerset(set_union2(X0,unordered_pair(X0,X0))))) ),
inference(definition_unfolding,[],[f1926,f2317]) ).
fof(f2517,plain,
! [X3,X0,X1] :
( ~ ordinal(X0)
| ~ in(X3,sK197(X0,X1))
| sP6(X1,X0)
| sK198(X0,X1,X3) = X3
| ~ element(X1,powerset(powerset(set_union2(X0,unordered_pair(X0,X0))))) ),
inference(definition_unfolding,[],[f1925,f2317]) ).
fof(f2518,plain,
! [X3,X0,X1] :
( ~ ordinal(X0)
| ~ in(X3,sK197(X0,X1))
| sP6(X1,X0)
| in(sK199(X0,X1,X3),X1)
| ~ element(X1,powerset(powerset(set_union2(X0,unordered_pair(X0,X0))))) ),
inference(definition_unfolding,[],[f1924,f2317]) ).
fof(f2519,plain,
! [X3,X0,X1] :
( ~ ordinal(X0)
| ~ in(X3,sK197(X0,X1))
| sP6(X1,X0)
| set_difference(sK199(X0,X1,X3),unordered_pair(X0,X0)) = X3
| ~ element(X1,powerset(powerset(set_union2(X0,unordered_pair(X0,X0))))) ),
inference(definition_unfolding,[],[f1923,f2266,f2317]) ).
fof(f2536,plain,
! [X2,X4] :
( ~ in(sK239(X2),powerset(sK237))
| ~ in(X4,sK238)
| sK239(X2) != set_difference(X4,unordered_pair(sK237,sK237))
| ~ in(sK239(X2),X2) ),
inference(definition_unfolding,[],[f1991,f2266]) ).
fof(f2537,plain,
! [X2] :
( in(sK239(X2),X2)
| sK239(X2) = set_difference(sK240(X2),unordered_pair(sK237,sK237)) ),
inference(definition_unfolding,[],[f1988,f2266]) ).
fof(f2538,plain,
element(sK238,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237))))),
inference(definition_unfolding,[],[f1986,f2317]) ).
fof(f2748,plain,
! [X0,X1,X4,X5] :
( in(X4,sK197(X0,X1))
| ~ in(X4,powerset(X0))
| ~ in(X5,X1)
| set_difference(X5,unordered_pair(X0,X0)) != X4
| sP6(X1,X0)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(set_union2(X0,unordered_pair(X0,X0))))) ),
inference(equality_resolution,[],[f2515]) ).
fof(f2749,plain,
! [X0,X1,X5] :
( ~ ordinal(X0)
| ~ in(set_difference(X5,unordered_pair(X0,X0)),powerset(X0))
| ~ in(X5,X1)
| sP6(X1,X0)
| in(set_difference(X5,unordered_pair(X0,X0)),sK197(X0,X1))
| ~ element(X1,powerset(powerset(set_union2(X0,unordered_pair(X0,X0))))) ),
inference(equality_resolution,[],[f2748]) ).
fof(f2925,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| sP6(X1,sK237)
| sK198(sK237,X1,X0) = X0
| ~ in(X0,sK197(sK237,X1)) ),
inference(resolution,[],[f2517,f1987]) ).
fof(f2940,plain,
! [X0,X1] :
( ~ in(X0,sK197(sK237,X1))
| sP6(X1,sK237)
| in(sK198(sK237,X1,X0),powerset(sK237))
| ~ element(X1,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237))))) ),
inference(resolution,[],[f2516,f1987]) ).
fof(f2947,plain,
! [X0,X1] :
( ~ in(X0,sK197(sK237,X1))
| sP6(X1,sK237)
| in(sK199(sK237,X1,X0),X1)
| ~ element(X1,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237))))) ),
inference(resolution,[],[f2518,f1987]) ).
fof(f2952,plain,
! [X0] :
( sP6(sK238,sK237)
| sK198(sK237,sK238,X0) = X0
| ~ in(X0,sK197(sK237,sK238)) ),
inference(resolution,[],[f2925,f2538]) ).
fof(f2954,definition,
( spl289_15
<=> ! [X0] :
( sK198(sK237,sK238,X0) = X0
| ~ in(X0,sK197(sK237,sK238)) ) ),
introduced(definition,[new_symbols(definition,[spl289_15])],[avatar_definition]) ).
fof(f2955,plain,
( ! [X0] :
( ~ in(X0,sK197(sK237,sK238))
| sK198(sK237,sK238,X0) = X0 )
| ~ spl289_15 ),
inference(avatar_component_clause,[],[f2954]) ).
fof(f2957,definition,
( spl289_16
<=> sP6(sK238,sK237) ),
introduced(definition,[new_symbols(definition,[spl289_16])],[avatar_definition]) ).
fof(f2958,plain,
( sP6(sK238,sK237)
| ~ spl289_16 ),
inference(avatar_component_clause,[],[f2957]) ).
fof(f2959,plain,
( spl289_15
| spl289_16 ),
inference(avatar_split_clause,[],[f2952,f2957,f2954]) ).
fof(f2962,plain,
( sK239(sK197(sK237,sK238)) = sK198(sK237,sK238,sK239(sK197(sK237,sK238)))
| in(sK239(sK197(sK237,sK238)),powerset(sK237))
| ~ spl289_15 ),
inference(resolution,[],[f2955,f1990]) ).
fof(f2964,definition,
( spl289_17
<=> in(sK239(sK197(sK237,sK238)),powerset(sK237)) ),
introduced(definition,[new_symbols(definition,[spl289_17])],[avatar_definition]) ).
fof(f2965,plain,
( in(sK239(sK197(sK237,sK238)),powerset(sK237))
| ~ spl289_17 ),
inference(avatar_component_clause,[],[f2964]) ).
fof(f2967,definition,
( spl289_18
<=> sK239(sK197(sK237,sK238)) = sK198(sK237,sK238,sK239(sK197(sK237,sK238))) ),
introduced(definition,[new_symbols(definition,[spl289_18])],[avatar_definition]) ).
fof(f2968,plain,
( sK239(sK197(sK237,sK238)) = sK198(sK237,sK238,sK239(sK197(sK237,sK238)))
| ~ spl289_18 ),
inference(avatar_component_clause,[],[f2967]) ).
fof(f2969,plain,
( spl289_17
| spl289_18
| ~ spl289_15 ),
inference(avatar_split_clause,[],[f2962,f2954,f2967,f2964]) ).
fof(f2971,definition,
( spl289_19
<=> sK239(sK197(sK237,sK238)) = set_difference(sK240(sK197(sK237,sK238)),unordered_pair(sK237,sK237)) ),
introduced(definition,[new_symbols(definition,[spl289_19])],[avatar_definition]) ).
fof(f2972,plain,
( sK239(sK197(sK237,sK238)) = set_difference(sK240(sK197(sK237,sK238)),unordered_pair(sK237,sK237))
| ~ spl289_19 ),
inference(avatar_component_clause,[],[f2971]) ).
fof(f2975,definition,
( spl289_20
<=> in(sK240(sK197(sK237,sK238)),sK238) ),
introduced(definition,[new_symbols(definition,[spl289_20])],[avatar_definition]) ).
fof(f2976,plain,
( in(sK240(sK197(sK237,sK238)),sK238)
| ~ spl289_20 ),
inference(avatar_component_clause,[],[f2975]) ).
fof(f3020,plain,
! [X0,X1] :
( ~ in(X0,sK197(sK237,X1))
| sP6(X1,sK237)
| set_difference(sK199(sK237,X1,X0),unordered_pair(sK237,sK237)) = X0
| ~ element(X1,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237))))) ),
inference(resolution,[],[f2519,f1987]) ).
fof(f3021,plain,
! [X0] :
( ~ element(X0,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| sK239(sK197(sK237,X0)) = set_difference(sK199(sK237,X0,sK239(sK197(sK237,X0))),unordered_pair(sK237,sK237))
| sP6(X0,sK237)
| in(sK240(sK197(sK237,X0)),sK238) ),
inference(resolution,[],[f3020,f1989]) ).
fof(f3022,plain,
! [X0] :
( ~ element(X0,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| sK239(sK197(sK237,X0)) = set_difference(sK199(sK237,X0,sK239(sK197(sK237,X0))),unordered_pair(sK237,sK237))
| sP6(X0,sK237)
| sK239(sK197(sK237,X0)) = set_difference(sK240(sK197(sK237,X0)),unordered_pair(sK237,sK237)) ),
inference(resolution,[],[f3020,f2537]) ).
fof(f3133,plain,
! [X0] :
( in(sK198(sK237,X0,sK239(sK197(sK237,X0))),powerset(sK237))
| sP6(X0,sK237)
| ~ element(X0,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| in(sK239(sK197(sK237,X0)),powerset(sK237)) ),
inference(resolution,[],[f2940,f1990]) ).
fof(f3252,plain,
( sK239(sK197(sK237,sK238)) = set_difference(sK199(sK237,sK238,sK239(sK197(sK237,sK238))),unordered_pair(sK237,sK237))
| sP6(sK238,sK237)
| sK239(sK197(sK237,sK238)) = set_difference(sK240(sK197(sK237,sK238)),unordered_pair(sK237,sK237)) ),
inference(resolution,[],[f3022,f2538]) ).
fof(f3256,plain,
! [X0,X1] :
( ~ in(set_difference(X0,unordered_pair(sK237,sK237)),powerset(sK237))
| ~ in(X0,X1)
| sP6(X1,sK237)
| in(set_difference(X0,unordered_pair(sK237,sK237)),sK197(sK237,X1))
| ~ element(X1,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237))))) ),
inference(resolution,[],[f2749,f1987]) ).
fof(f3302,plain,
( sK239(sK197(sK237,sK238)) = set_difference(sK199(sK237,sK238,sK239(sK197(sK237,sK238))),unordered_pair(sK237,sK237))
| sP6(sK238,sK237)
| in(sK240(sK197(sK237,sK238)),sK238) ),
inference(resolution,[],[f3021,f2538]) ).
fof(f4643,plain,
( sK192(sK238,sK237) = sK194(sK238,sK237)
| ~ spl289_16 ),
inference(resolution,[],[f1918,f2958]) ).
fof(f4733,plain,
( sK192(sK238,sK237) = sK193(sK238,sK237)
| ~ spl289_16 ),
inference(resolution,[],[f1921,f2958]) ).
fof(f4736,plain,
( sK194(sK238,sK237) = sK193(sK238,sK237)
| ~ spl289_16 ),
inference(superposition,[],[f4643,f4733]) ).
fof(f4738,plain,
( sK193(sK238,sK237) != sK193(sK238,sK237)
| ~ sP6(sK238,sK237)
| ~ spl289_16 ),
inference(superposition,[],[f1922,f4736]) ).
fof(f4739,plain,
( ~ sP6(sK238,sK237)
| ~ spl289_16 ),
inference(trivial_inequality_removal,[],[f4738]) ).
fof(f4741,plain,
( $false
| ~ spl289_16 ),
inference(forward_subsumption_resolution,[],[f4739,f2958]) ).
fof(f4742,plain,
~ spl289_16,
inference(avatar_contradiction_clause,[],[f4741]) ).
fof(f4744,definition,
( spl289_108
<=> sK239(sK197(sK237,sK238)) = set_difference(sK199(sK237,sK238,sK239(sK197(sK237,sK238))),unordered_pair(sK237,sK237)) ),
introduced(definition,[new_symbols(definition,[spl289_108])],[avatar_definition]) ).
fof(f4745,plain,
( sK239(sK197(sK237,sK238)) = set_difference(sK199(sK237,sK238,sK239(sK197(sK237,sK238))),unordered_pair(sK237,sK237))
| ~ spl289_108 ),
inference(avatar_component_clause,[],[f4744]) ).
fof(f4747,plain,
( spl289_19
| spl289_16
| spl289_108 ),
inference(avatar_split_clause,[],[f3252,f4744,f2957,f2971]) ).
fof(f4748,plain,
( spl289_20
| spl289_16
| spl289_108 ),
inference(avatar_split_clause,[],[f3302,f4744,f2957,f2975]) ).
fof(f4754,plain,
( in(sK239(sK197(sK237,sK238)),powerset(sK237))
| sP6(sK238,sK237)
| ~ element(sK238,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| in(sK239(sK197(sK237,sK238)),powerset(sK237))
| ~ spl289_18 ),
inference(superposition,[],[f3133,f2968]) ).
fof(f4756,plain,
( in(sK239(sK197(sK237,sK238)),powerset(sK237))
| sP6(sK238,sK237)
| ~ element(sK238,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| ~ spl289_18 ),
inference(duplicate_literal_removal,[],[f4754]) ).
fof(f4758,plain,
( in(sK239(sK197(sK237,sK238)),powerset(sK237))
| sP6(sK238,sK237)
| ~ spl289_18 ),
inference(forward_subsumption_resolution,[],[f4756,f2538]) ).
fof(f4760,plain,
( spl289_16
| spl289_17
| ~ spl289_18 ),
inference(avatar_split_clause,[],[f4758,f2967,f2964,f2957]) ).
fof(f4761,plain,
( ! [X0] :
( ~ in(X0,sK238)
| set_difference(X0,unordered_pair(sK237,sK237)) != sK239(sK197(sK237,sK238))
| ~ in(sK239(sK197(sK237,sK238)),sK197(sK237,sK238)) )
| ~ spl289_17 ),
inference(resolution,[],[f2965,f2536]) ).
fof(f4764,definition,
( spl289_110
<=> in(sK239(sK197(sK237,sK238)),sK197(sK237,sK238)) ),
introduced(definition,[new_symbols(definition,[spl289_110])],[avatar_definition]) ).
fof(f4765,plain,
( ~ in(sK239(sK197(sK237,sK238)),sK197(sK237,sK238))
| spl289_110 ),
inference(avatar_component_clause,[],[f4764]) ).
fof(f4767,definition,
( spl289_111
<=> ! [X0] :
( ~ in(X0,sK238)
| set_difference(X0,unordered_pair(sK237,sK237)) != sK239(sK197(sK237,sK238)) ) ),
introduced(definition,[new_symbols(definition,[spl289_111])],[avatar_definition]) ).
fof(f4768,plain,
( ! [X0] :
( set_difference(X0,unordered_pair(sK237,sK237)) != sK239(sK197(sK237,sK238))
| ~ in(X0,sK238) )
| ~ spl289_111 ),
inference(avatar_component_clause,[],[f4767]) ).
fof(f4769,plain,
( ~ spl289_110
| spl289_111
| ~ spl289_17 ),
inference(avatar_split_clause,[],[f4761,f2964,f4767,f4764]) ).
fof(f4772,plain,
( sK239(sK197(sK237,sK238)) = set_difference(sK240(sK197(sK237,sK238)),unordered_pair(sK237,sK237))
| spl289_110 ),
inference(resolution,[],[f4765,f2537]) ).
fof(f4775,plain,
( spl289_19
| spl289_110 ),
inference(avatar_split_clause,[],[f4772,f4764,f2971]) ).
fof(f4897,plain,
( sK239(sK197(sK237,sK238)) != sK239(sK197(sK237,sK238))
| ~ in(sK199(sK237,sK238,sK239(sK197(sK237,sK238))),sK238)
| ~ spl289_108
| ~ spl289_111 ),
inference(superposition,[],[f4768,f4745]) ).
fof(f4917,plain,
( ~ in(sK199(sK237,sK238,sK239(sK197(sK237,sK238))),sK238)
| ~ spl289_108
| ~ spl289_111 ),
inference(trivial_inequality_removal,[],[f4897]) ).
fof(f4964,plain,
( ! [X0] :
( ~ in(sK239(sK197(sK237,sK238)),powerset(sK237))
| ~ in(sK240(sK197(sK237,sK238)),X0)
| sP6(X0,sK237)
| in(sK239(sK197(sK237,sK238)),sK197(sK237,X0))
| ~ element(X0,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237))))) )
| ~ spl289_19 ),
inference(superposition,[],[f3256,f2972]) ).
fof(f4971,plain,
( sK239(sK197(sK237,sK238)) != sK239(sK197(sK237,sK238))
| ~ in(sK240(sK197(sK237,sK238)),sK238)
| ~ spl289_19
| ~ spl289_111 ),
inference(superposition,[],[f4768,f2972]) ).
fof(f4991,plain,
( ~ in(sK240(sK197(sK237,sK238)),sK238)
| ~ spl289_19
| ~ spl289_111 ),
inference(trivial_inequality_removal,[],[f4971]) ).
fof(f4993,plain,
( $false
| ~ spl289_19
| ~ spl289_20
| ~ spl289_111 ),
inference(forward_subsumption_resolution,[],[f4991,f2976]) ).
fof(f4994,plain,
( ~ spl289_19
| ~ spl289_20
| ~ spl289_111 ),
inference(avatar_contradiction_clause,[],[f4993]) ).
fof(f5001,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| sP6(X0,sK237)
| in(sK239(sK197(sK237,sK238)),sK197(sK237,X0))
| ~ in(sK240(sK197(sK237,sK238)),X0) )
| ~ spl289_17
| ~ spl289_19 ),
inference(forward_subsumption_resolution,[],[f4964,f2965]) ).
fof(f5187,plain,
( sP6(sK238,sK237)
| in(sK239(sK197(sK237,sK238)),sK197(sK237,sK238))
| ~ in(sK240(sK197(sK237,sK238)),sK238)
| ~ spl289_17
| ~ spl289_19 ),
inference(resolution,[],[f5001,f2538]) ).
fof(f5195,plain,
( in(sK239(sK197(sK237,sK238)),sK197(sK237,sK238))
| ~ spl289_110 ),
inference(avatar_component_clause,[],[f4764]) ).
fof(f5200,plain,
( sP6(sK238,sK237)
| in(sK239(sK197(sK237,sK238)),sK197(sK237,sK238))
| ~ spl289_17
| ~ spl289_19 ),
inference(forward_subsumption_resolution,[],[f5187,f1989]) ).
fof(f5243,plain,
( spl289_110
| spl289_16
| ~ spl289_17
| ~ spl289_19 ),
inference(avatar_split_clause,[],[f5200,f2971,f2964,f2957,f4764]) ).
fof(f5264,plain,
( sP6(sK238,sK237)
| in(sK199(sK237,sK238,sK239(sK197(sK237,sK238))),sK238)
| ~ element(sK238,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| ~ spl289_110 ),
inference(resolution,[],[f5195,f2947]) ).
fof(f5268,plain,
( sP6(sK238,sK237)
| ~ element(sK238,powerset(powerset(set_union2(sK237,unordered_pair(sK237,sK237)))))
| ~ spl289_108
| ~ spl289_110
| ~ spl289_111 ),
inference(forward_subsumption_resolution,[],[f5264,f4917]) ).
fof(f5270,plain,
( sP6(sK238,sK237)
| ~ spl289_108
| ~ spl289_110
| ~ spl289_111 ),
inference(forward_subsumption_resolution,[],[f5268,f2538]) ).
fof(f5271,plain,
( spl289_16
| ~ spl289_108
| ~ spl289_110
| ~ spl289_111 ),
inference(avatar_split_clause,[],[f5270,f4767,f4764,f4744,f2957]) ).
cnf(s12,plain,
( spl289_15
| spl289_16 ),
inference(sat_conversion,[],[f2959]) ).
cnf(s13,plain,
( ~ spl289_15
| spl289_17
| spl289_18 ),
inference(sat_conversion,[],[f2969]) ).
cnf(s118,plain,
~ spl289_16,
inference(sat_conversion,[],[f4742]) ).
cnf(s120,plain,
( spl289_16
| spl289_19
| spl289_108 ),
inference(sat_conversion,[],[f4747]) ).
cnf(s121,plain,
( spl289_16
| spl289_20
| spl289_108 ),
inference(sat_conversion,[],[f4748]) ).
cnf(s125,plain,
( spl289_16
| spl289_17
| ~ spl289_18 ),
inference(sat_conversion,[],[f4760]) ).
cnf(s126,plain,
( ~ spl289_17
| ~ spl289_110
| spl289_111 ),
inference(sat_conversion,[],[f4769]) ).
cnf(s127,plain,
( spl289_19
| spl289_110 ),
inference(sat_conversion,[],[f4775]) ).
cnf(s153,plain,
( ~ spl289_19
| ~ spl289_20
| ~ spl289_111 ),
inference(sat_conversion,[],[f4994]) ).
cnf(s170,plain,
( spl289_16
| ~ spl289_17
| ~ spl289_19
| spl289_110 ),
inference(sat_conversion,[],[f5243]) ).
cnf(s179,plain,
( spl289_16
| ~ spl289_108
| ~ spl289_110
| ~ spl289_111 ),
inference(sat_conversion,[],[f5271]) ).
cnf(s183,plain,
spl289_15,
inference(rat,[],[s12,s118]) ).
cnf(s184,plain,
spl289_17,
inference(rat,[],[s13,s125,s183,s118]) ).
cnf(s185,plain,
( ~ spl289_20
| ~ spl289_19 ),
inference(rat,[],[s126,s170,s153,s118,s184]) ).
cnf(s187,plain,
~ spl289_19,
inference(rat,[],[s121,s179,s126,s185,s170,s118,s184]) ).
cnf(s188,plain,
spl289_110,
inference(rat,[],[s127,s187]) ).
cnf(s190,plain,
spl289_108,
inference(rat,[],[s120,s118,s187]) ).
cnf(s191,plain,
spl289_111,
inference(rat,[],[s126,s184,s188]) ).
cnf(s192,plain,
$false,
inference(rat,[],[s179,s191,s118,s188,s190]) ).
fof(f5272,plain,
$false,
inference(avatar_sat_refutation,[],[s192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU298+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 04:33:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 9.61/2.06 % (3016916)Detected formulas, will run a generic FOF schedule.
% 9.61/2.06 % (3016947)dis-21_1_sil=8000:lcm=predicate:random_seed=2247589128: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)
% 9.61/2.06 % (3016946)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3381088273:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.61/2.06 % (3016945)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1871766410:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.61/2.06 % (3016942)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=3469041272:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.61/2.06 % (3016941)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=419129442:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.61/2.06 % (3016944)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3099718813:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.61/2.06 % (3016943)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=2032048865:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.61/2.06 % (3016947)Instruction limit reached!
% 9.61/2.06 % (3016947)------------------------------
% 9.61/2.06 % (3016947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.06 % (3016947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.06 % (3016947)CaDiCaL version: 2.1.3
% 9.61/2.06 % (3016947)Termination reason: Instruction limit
% 9.61/2.06 % (3016947)Termination phase: Saturation
% 9.61/2.06 % (3016947)Time elapsed: 0.037 s
% 9.61/2.06 % (3016947)Peak memory usage: 90 MB
% 9.61/2.06 % (3016947)Instructions burned: 130 (million)
% 9.61/2.06 % (3016944)Instruction limit reached!
% 9.61/2.06 % (3016944)------------------------------
% 9.61/2.06 % (3016944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016944)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016944)Termination reason: Instruction limit
% 9.61/2.07 % (3016944)Termination phase: Saturation
% 9.61/2.07 % (3016944)Time elapsed: 0.057 s
% 9.61/2.07 % (3016944)Peak memory usage: 91 MB
% 9.61/2.07 % (3016944)Instructions burned: 109 (million)
% 9.61/2.07 % (3016945)Instruction limit reached!
% 9.61/2.07 % (3016945)------------------------------
% 9.61/2.07 % (3016945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016945)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016945)Termination reason: Instruction limit
% 9.61/2.07 % (3016945)Termination phase: Saturation
% 9.61/2.07 % (3016945)Time elapsed: 0.069 s
% 9.61/2.07 % (3016945)Peak memory usage: 90 MB
% 9.61/2.07 % (3016945)Instructions burned: 125 (million)
% 9.61/2.07 % (3016946)Instruction limit reached!
% 9.61/2.07 % (3016946)------------------------------
% 9.61/2.07 % (3016946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016946)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016946)Termination reason: Instruction limit
% 9.61/2.07 % (3016946)Termination phase: Saturation
% 9.61/2.07 % (3016946)Time elapsed: 0.082 s
% 9.61/2.07 % (3016946)Peak memory usage: 91 MB
% 9.61/2.07 % (3016946)Instructions burned: 139 (million)
% 9.61/2.07 % (3016955)lrs+10_1_sil=8000:sp=occurrence:random_seed=1399846660:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.61/2.07 % (3016956)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1443201990:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 9.61/2.07 % (3016957)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1347782583:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 9.61/2.07 % (3016958)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=3629179283:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.61/2.07 % (3016956)Instruction limit reached!
% 9.61/2.07 % (3016956)------------------------------
% 9.61/2.07 % (3016956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016956)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016956)Termination reason: Instruction limit
% 9.61/2.07 % (3016956)Termination phase: Saturation
% 9.61/2.07 % (3016956)Time elapsed: 0.084 s
% 9.61/2.07 % (3016956)Peak memory usage: 91 MB
% 9.61/2.07 % (3016956)Instructions burned: 157 (million)
% 9.61/2.07 % (3016955)Instruction limit reached!
% 9.61/2.07 % (3016955)------------------------------
% 9.61/2.07 % (3016955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016955)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016955)Termination reason: Instruction limit
% 9.61/2.07 % (3016955)Termination phase: Saturation
% 9.61/2.07 % (3016955)Time elapsed: 0.165 s
% 9.61/2.07 % (3016955)Peak memory usage: 94 MB
% 9.61/2.07 % (3016955)Instructions burned: 285 (million)
% 9.61/2.07 % (3016958)Instruction limit reached!
% 9.61/2.07 % (3016958)------------------------------
% 9.61/2.07 % (3016958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016958)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016958)Termination reason: Instruction limit
% 9.61/2.07 % (3016958)Termination phase: Saturation
% 9.61/2.07 % (3016958)Time elapsed: 0.136 s
% 9.61/2.07 % (3016958)Peak memory usage: 93 MB
% 9.61/2.07 % (3016958)Instructions burned: 249 (million)
% 9.61/2.07 % (3016957)Instruction limit reached!
% 9.61/2.07 % (3016957)------------------------------
% 9.61/2.07 % (3016957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016957)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016957)Termination reason: Instruction limit
% 9.61/2.07 % (3016957)Termination phase: Saturation
% 9.61/2.07 % (3016957)Time elapsed: 0.172 s
% 9.61/2.07 % (3016957)Peak memory usage: 94 MB
% 9.61/2.07 % (3016957)Instructions burned: 326 (million)
% 9.61/2.07 % (3016971)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1797115:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.61/2.07 % (3016974)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=667071022:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.61/2.07 % (3016972)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2165795577:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.61/2.07 % (3016973)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=596889693:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 9.61/2.07 % (3016974)Instruction limit reached!
% 9.61/2.07 % (3016974)------------------------------
% 9.61/2.07 % (3016974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016974)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016974)Termination reason: Instruction limit
% 9.61/2.07 % (3016974)Termination phase: Saturation
% 9.61/2.07 % (3016974)Time elapsed: 0.039 s
% 9.61/2.07 % (3016974)Peak memory usage: 91 MB
% 9.61/2.07 % (3016974)Instructions burned: 127 (million)
% 9.61/2.07 % (3016973)Instruction limit reached!
% 9.61/2.07 % (3016973)------------------------------
% 9.61/2.07 % (3016973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016973)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016973)Termination reason: Instruction limit
% 9.61/2.07 % (3016973)Termination phase: Saturation
% 9.61/2.07 % (3016973)Time elapsed: 0.062 s
% 9.61/2.07 % (3016973)Peak memory usage: 91 MB
% 9.61/2.07 % (3016973)Instructions burned: 114 (million)
% 9.61/2.07 % (3016971)Instruction limit reached!
% 9.61/2.07 % (3016971)------------------------------
% 9.61/2.07 % (3016971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016971)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016971)Termination reason: Instruction limit
% 9.61/2.07 % (3016971)Termination phase: Saturation
% 9.61/2.07 % (3016971)Time elapsed: 0.179 s
% 9.61/2.07 % (3016971)Peak memory usage: 92 MB
% 9.61/2.07 % (3016971)Instructions burned: 294 (million)
% 9.61/2.07 % (3016979)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3077274960:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.61/2.07 % (3016979)Instruction limit reached!
% 9.61/2.07 % (3016979)------------------------------
% 9.61/2.07 % (3016979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016979)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016979)Termination reason: Instruction limit
% 9.61/2.07 % (3016979)Termination phase: Saturation
% 9.61/2.07 % (3016979)Time elapsed: 0.056 s
% 9.61/2.07 % (3016979)Peak memory usage: 90 MB
% 9.61/2.07 % (3016979)Instructions burned: 116 (million)
% 9.61/2.07 % (3016983)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1671573644:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 9.61/2.07 % (3016982)lrs+10_1_sil=8000:sp=occurrence:random_seed=3252259826:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.61/2.07 % (3016985)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2376443865:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 9.61/2.07 % (3016942)First to succeed.
% 9.61/2.07 % (3016942)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3016916"
% 9.61/2.07 % (3016983)Instruction limit reached!
% 9.61/2.07 % (3016983)------------------------------
% 9.61/2.07 % (3016983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016983)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016983)Termination reason: Instruction limit
% 9.61/2.07 % (3016983)Termination phase: Saturation
% 9.61/2.07 % (3016983)Time elapsed: 0.242 s
% 9.61/2.07 % (3016983)Peak memory usage: 94 MB
% 9.61/2.07 % (3016983)Instructions burned: 437 (million)
% 9.61/2.07 % (3016943)Also succeeded, but the first one will report.
% 9.61/2.07 % (3016989)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2070960889:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.61/2.07 % (3016989)Instruction limit reached!
% 9.61/2.07 % (3016989)------------------------------
% 9.61/2.07 % (3016989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016989)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016989)Termination reason: Instruction limit
% 9.61/2.07 % (3016989)Termination phase: Saturation
% 9.61/2.07 % (3016989)Time elapsed: 0.056 s
% 9.61/2.07 % (3016989)Peak memory usage: 92 MB
% 9.61/2.07 % (3016989)Instructions burned: 135 (million)
% 9.61/2.07 % (3016982)Instruction limit reached!
% 9.61/2.07 % (3016982)------------------------------
% 9.61/2.07 % (3016982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.07 % (3016982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.07 % (3016982)CaDiCaL version: 2.1.3
% 9.61/2.07 % (3016982)Termination reason: Instruction limit
% 9.61/2.07 % (3016982)Termination phase: Saturation
% 9.61/2.07 % (3016982)Time elapsed: 0.456 s
% 9.61/2.07 % (3016982)Peak memory usage: 103 MB
% 9.61/2.07 % (3016982)Instructions burned: 909 (million)
% 9.61/2.07 % (3016942)Refutation found. Thanks to Tanya!
% 9.61/2.07 % SZS status Theorem for theBenchmark
% 9.61/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 9.99/2.23 % (3016942)------------------------------
% 9.99/2.23 % (3016942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.23 % (3016942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.23 % (3016942)CaDiCaL version: 2.1.3
% 9.99/2.23 % (3016942)Termination reason: Refutation
% 9.99/2.23 % (3016942)Time elapsed: 0.975 s
% 9.99/2.23 % (3016942)Peak memory usage: 140 MB
% 9.99/2.23 % (3016942)Instructions burned: 1751 (million)
% 9.99/2.23 % (3016942)------------------------------
% 9.99/2.23 % (3016942)------------------------------
% 9.99/2.23 % (3016916)Success in time 1.375 s
% 9.99/2.23 % Vampire exiting
%------------------------------------------------------------------------------