%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET895+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:42:15 PM UTC 2026
% Result : Theorem 11.60s 2.53s
% Output : Refutation 12.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 35
% Syntax : Number of formulae : 261 ( 68 unt; 27 def)
% Number of atoms : 771 ( 298 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 826 ( 316 ~; 425 |; 61 &)
% ( 22 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 15 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 16 con; 0-3 aty)
% Number of variables : 216 ( 0 sgn 194 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = unordered_pair(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = cartesian_product2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f8,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(f11,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f12,conjecture,
! [X0,X1,X2] :
( cartesian_product2(singleton(X0),unordered_pair(X1,X2)) = unordered_pair(ordered_pair(X0,X1),ordered_pair(X0,X2))
& cartesian_product2(unordered_pair(X0,X1),singleton(X2)) = unordered_pair(ordered_pair(X0,X2),ordered_pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_zfmisc_1) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] :
( cartesian_product2(singleton(X0),unordered_pair(X1,X2)) = unordered_pair(ordered_pair(X0,X1),ordered_pair(X0,X2))
& cartesian_product2(unordered_pair(X0,X1),singleton(X2)) = unordered_pair(ordered_pair(X0,X2),ordered_pair(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f16,plain,
? [X0,X1,X2] :
( cartesian_product2(singleton(X0),unordered_pair(X1,X2)) != unordered_pair(ordered_pair(X0,X1),ordered_pair(X0,X2))
| cartesian_product2(unordered_pair(X0,X1),singleton(X2)) != unordered_pair(ordered_pair(X0,X2),ordered_pair(X1,X2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) )
& ( sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( X2 = unordered_pair(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X3 = X0
| X3 = X1
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X3 = X0
| X3 = X1
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( X2 = unordered_pair(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X3 = X0
| X3 = X1
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X3 = X0
| X3 = X1
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( X2 = unordered_pair(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X3 = X0
| X3 = X1
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(rectify,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( X2 = unordered_pair(X0,X1)
| ( ( ( sK1(X0,X1,X2) != X0
& sK1(X0,X1,X2) != X1 )
| ~ in(sK1(X0,X1,X2),X2) )
& ( sK1(X0,X1,X2) = X0
| sK1(X0,X1,X2) = X1
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ? [X3] :
( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,X2) )
& ( ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 ) )
& ( ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) )
| ~ in(X3,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ? [X3] :
( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,X2) )
& ( ? [X6,X7] :
( in(X6,X0)
& in(X7,X1)
& ordered_pair(X6,X7) = X3 )
| in(X3,X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ~ in(X9,X0)
| ~ in(X10,X1)
| ordered_pair(X9,X10) != X8 ) )
& ( ? [X11,X12] :
( in(X11,X0)
& in(X12,X1)
& ordered_pair(X11,X12) = X8 )
| ~ in(X8,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != sK2(X0,X1,X2) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X0)
& in(sK4(X0,X1,X2),X1)
& sK2(X0,X1,X2) = ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)) )
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ~ in(X9,X0)
| ~ in(X10,X1)
| ordered_pair(X9,X10) != X8 ) )
& ( ( in(sK5(X0,X1,X8),X0)
& in(sK6(X0,X1,X8),X1)
& ordered_pair(sK5(X0,X1,X8),sK6(X0,X1,X8)) = X8 )
| ~ in(X8,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X6,sK3(X0,X1,X2)),skolemize(X7,sK4(X0,X1,X2)),skolemize(X11,sK5(X0,X1,X8)),skolemize(X12,sK6(X0,X1,X8))],[f25]) ).
fof(f27,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,[],[f8]) ).
fof(f28,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,[],[f27]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK9(X0,X1),X1)
| ~ in(sK9(X0,X1),X0) )
& ( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f31]) ).
fof(f33,plain,
( cartesian_product2(singleton(sK10),unordered_pair(sK11,sK12)) != unordered_pair(ordered_pair(sK10,sK11),ordered_pair(sK10,sK12))
| cartesian_product2(unordered_pair(sK10,sK11),singleton(sK12)) != unordered_pair(ordered_pair(sK10,sK12),ordered_pair(sK11,sK12)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12)],[f16]) ).
fof(f35,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| X1 = X4
| ~ in(X4,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X1 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X0 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X2,X0,X1,X8] :
( ordered_pair(sK5(X0,X1,X8),sK6(X0,X1,X8)) = X8
| ~ in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f26]) ).
fof(f47,plain,
! [X2,X0,X1,X8] :
( in(sK6(X0,X1,X8),X1)
| ~ in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
! [X2,X0,X1,X8] :
( in(sK5(X0,X1,X8),X0)
| ~ in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f26]) ).
fof(f54,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f61,plain,
! [X0,X1] :
( in(sK9(X0,X1),X1)
| in(sK9(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f62,plain,
! [X0,X1] :
( ~ in(sK9(X0,X1),X1)
| X0 = X1
| ~ in(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f63,plain,
( cartesian_product2(singleton(sK10),unordered_pair(sK11,sK12)) != unordered_pair(ordered_pair(sK10,sK11),ordered_pair(sK10,sK12))
| cartesian_product2(unordered_pair(sK10,sK11),singleton(sK12)) != unordered_pair(ordered_pair(sK10,sK12),ordered_pair(sK11,sK12)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f67,plain,
! [X2,X0,X1,X8] :
( unordered_pair(unordered_pair(sK5(X0,X1,X8),sK6(X0,X1,X8)),singleton(sK5(X0,X1,X8))) = X8
| ~ in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(definition_unfolding,[],[f46,f54]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(definition_unfolding,[],[f58,f54]) ).
fof(f72,plain,
( cartesian_product2(singleton(sK10),unordered_pair(sK11,sK12)) != unordered_pair(unordered_pair(unordered_pair(sK10,sK11),singleton(sK10)),unordered_pair(unordered_pair(sK10,sK12),singleton(sK10)))
| cartesian_product2(unordered_pair(sK10,sK11),singleton(sK12)) != unordered_pair(unordered_pair(unordered_pair(sK10,sK12),singleton(sK10)),unordered_pair(unordered_pair(sK11,sK12),singleton(sK11))) ),
inference(definition_unfolding,[],[f63,f54,f54,f54,f54]) ).
fof(f73,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f37]) ).
fof(f74,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f73]) ).
fof(f75,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f36]) ).
fof(f76,plain,
! [X2,X1,X4] :
( in(X4,X2)
| unordered_pair(X4,X1) != X2 ),
inference(equality_resolution,[],[f42]) ).
fof(f77,plain,
! [X1,X4] : in(X4,unordered_pair(X4,X1)),
inference(equality_resolution,[],[f76]) ).
fof(f78,plain,
! [X2,X0,X4] :
( in(X4,X2)
| unordered_pair(X0,X4) != X2 ),
inference(equality_resolution,[],[f41]) ).
fof(f79,plain,
! [X0,X4] : in(X4,unordered_pair(X0,X4)),
inference(equality_resolution,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X4] :
( ~ in(X4,unordered_pair(X0,X1))
| X1 = X4
| X0 = X4 ),
inference(equality_resolution,[],[f40]) ).
fof(f83,plain,
! [X0,X1,X8] :
( in(sK5(X0,X1,X8),X0)
| ~ in(X8,cartesian_product2(X0,X1)) ),
inference(equality_resolution,[],[f48]) ).
fof(f84,plain,
! [X0,X1,X8] :
( in(sK6(X0,X1,X8),X1)
| ~ in(X8,cartesian_product2(X0,X1)) ),
inference(equality_resolution,[],[f47]) ).
fof(f85,plain,
! [X0,X1,X8] :
( ~ in(X8,cartesian_product2(X0,X1))
| unordered_pair(unordered_pair(sK5(X0,X1,X8),sK6(X0,X1,X8)),singleton(sK5(X0,X1,X8))) = X8 ),
inference(equality_resolution,[],[f67]) ).
fof(f86,definition,
sF13 = singleton(sK10),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f87,plain,
singleton(sK10) = sF13,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF14 = unordered_pair(sK11,sK12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
unordered_pair(sK11,sK12) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF15 = cartesian_product2(sF13,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f91,plain,
cartesian_product2(sF13,sF14) = sF15,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF16 = unordered_pair(sK10,sK11),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f93,plain,
unordered_pair(sK10,sK11) = sF16,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF17 = unordered_pair(sF16,sF13),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f95,plain,
unordered_pair(sF16,sF13) = sF17,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF18 = unordered_pair(sK10,sK12),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f97,plain,
unordered_pair(sK10,sK12) = sF18,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF19 = unordered_pair(sF18,sF13),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f99,plain,
unordered_pair(sF18,sF13) = sF19,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF20 = unordered_pair(sF17,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f101,plain,
unordered_pair(sF17,sF19) = sF20,
inference(reorient_equations,[],[f100]) ).
fof(f102,definition,
sF21 = singleton(sK12),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f103,plain,
singleton(sK12) = sF21,
inference(reorient_equations,[],[f102]) ).
fof(f104,definition,
sF22 = cartesian_product2(sF16,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f105,plain,
cartesian_product2(sF16,sF21) = sF22,
inference(reorient_equations,[],[f104]) ).
fof(f106,definition,
sF23 = singleton(sK11),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f107,plain,
singleton(sK11) = sF23,
inference(reorient_equations,[],[f106]) ).
fof(f108,definition,
sF24 = unordered_pair(sF14,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f109,plain,
unordered_pair(sF14,sF23) = sF24,
inference(reorient_equations,[],[f108]) ).
fof(f110,definition,
sF25 = unordered_pair(sF19,sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f111,plain,
unordered_pair(sF19,sF24) = sF25,
inference(reorient_equations,[],[f110]) ).
fof(f112,plain,
( sF15 != sF20
| sF22 != sF25 ),
inference(definition_folding,[],[f72,f111,f109,f107,f89,f99,f87,f97,f105,f103,f93,f101,f99,f87,f97,f95,f87,f93,f91,f89,f87]) ).
fof(f114,definition,
( spl26_1
<=> sF22 = sF25 ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f116,plain,
( sF22 != sF25
| spl26_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl26_2
<=> sF15 = sF20 ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f120,plain,
( sF15 != sF20
| spl26_2 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f112,f118,f114]) ).
fof(f122,plain,
! [X0] :
( ~ in(X0,sF15)
| unordered_pair(unordered_pair(sK5(sF13,sF14,X0),sK6(sF13,sF14,X0)),singleton(sK5(sF13,sF14,X0))) = X0 ),
inference(superposition,[],[f85,f91]) ).
fof(f123,plain,
! [X0] :
( ~ in(X0,sF22)
| unordered_pair(unordered_pair(sK5(sF16,sF21,X0),sK6(sF16,sF21,X0)),singleton(sK5(sF16,sF21,X0))) = X0 ),
inference(superposition,[],[f85,f105]) ).
fof(f162,plain,
in(sK10,sF16),
inference(superposition,[],[f77,f93]) ).
fof(f164,plain,
in(sK11,sF14),
inference(superposition,[],[f77,f89]) ).
fof(f167,plain,
in(sF17,sF20),
inference(superposition,[],[f77,f101]) ).
fof(f169,plain,
in(sF19,sF25),
inference(superposition,[],[f77,f111]) ).
fof(f170,plain,
in(sK11,sF16),
inference(superposition,[],[f79,f93]) ).
fof(f172,plain,
in(sK12,sF14),
inference(superposition,[],[f79,f89]) ).
fof(f175,plain,
in(sF19,sF20),
inference(superposition,[],[f79,f101]) ).
fof(f177,plain,
in(sF24,sF25),
inference(superposition,[],[f79,f111]) ).
fof(f178,plain,
! [X0] :
( ~ in(X0,sF13)
| sK10 = X0 ),
inference(superposition,[],[f75,f87]) ).
fof(f179,plain,
! [X0] :
( ~ in(X0,sF21)
| sK12 = X0 ),
inference(superposition,[],[f75,f103]) ).
fof(f182,plain,
in(sK10,sF13),
inference(superposition,[],[f74,f87]) ).
fof(f183,plain,
in(sK12,sF21),
inference(superposition,[],[f74,f103]) ).
fof(f199,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF15)
| ~ in(X0,sF13)
| ~ in(X1,sF14) ),
inference(superposition,[],[f69,f91]) ).
fof(f200,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF22)
| ~ in(X0,sF16)
| ~ in(X1,sF21) ),
inference(superposition,[],[f69,f105]) ).
fof(f236,plain,
sF17 = unordered_pair(sF13,sF16),
inference(superposition,[],[f95,f35]) ).
fof(f237,plain,
sF20 = unordered_pair(sF19,sF17),
inference(superposition,[],[f101,f35]) ).
fof(f238,plain,
sF19 = unordered_pair(sF13,sF18),
inference(superposition,[],[f99,f35]) ).
fof(f250,plain,
! [X0] :
( ~ in(X0,sF16)
| sK11 = X0
| sK10 = X0 ),
inference(superposition,[],[f80,f93]) ).
fof(f252,plain,
! [X0] :
( ~ in(X0,sF14)
| sK12 = X0
| sK11 = X0 ),
inference(superposition,[],[f80,f89]) ).
fof(f257,plain,
! [X0] :
( ~ in(X0,sF25)
| sF24 = X0
| sF19 = X0 ),
inference(superposition,[],[f80,f111]) ).
fof(f258,plain,
! [X0] :
( ~ in(X0,sF20)
| sF17 = X0
| sF19 = X0 ),
inference(superposition,[],[f80,f237]) ).
fof(f269,plain,
! [X0,X1] :
( ~ in(X1,cartesian_product2(sF13,X0))
| sK10 = sK5(sF13,X0,X1) ),
inference(resolution,[],[f178,f83]) ).
fof(f278,plain,
! [X0] :
( ~ in(X0,sF15)
| sK10 = sK5(sF13,sF14,X0) ),
inference(superposition,[],[f269,f91]) ).
fof(f282,plain,
! [X0,X1] :
( ~ in(X1,cartesian_product2(X0,sF21))
| sK12 = sK6(X0,sF21,X1) ),
inference(resolution,[],[f179,f84]) ).
fof(f287,plain,
! [X0] :
( ~ in(X0,sF22)
| sK12 = sK6(sF16,sF21,X0) ),
inference(superposition,[],[f282,f105]) ).
fof(f351,plain,
( in(unordered_pair(sF16,singleton(sK10)),sF15)
| ~ in(sK10,sF13)
| ~ in(sK11,sF14) ),
inference(superposition,[],[f199,f93]) ).
fof(f352,plain,
( in(unordered_pair(sF18,singleton(sK10)),sF15)
| ~ in(sK10,sF13)
| ~ in(sK12,sF14) ),
inference(superposition,[],[f199,f97]) ).
fof(f477,plain,
( in(unordered_pair(sF18,singleton(sK10)),sF15)
| ~ in(sK12,sF14) ),
inference(forward_subsumption_resolution,[],[f352,f182]) ).
fof(f478,plain,
( in(unordered_pair(sF16,singleton(sK10)),sF15)
| ~ in(sK11,sF14) ),
inference(forward_subsumption_resolution,[],[f351,f182]) ).
fof(f480,plain,
in(unordered_pair(sF18,singleton(sK10)),sF15),
inference(forward_subsumption_resolution,[],[f477,f172]) ).
fof(f481,plain,
in(unordered_pair(sF16,singleton(sK10)),sF15),
inference(forward_subsumption_resolution,[],[f478,f164]) ).
fof(f483,plain,
in(unordered_pair(sF18,sF13),sF15),
inference(forward_demodulation,[],[f480,f87]) ).
fof(f484,plain,
in(unordered_pair(sF16,sF13),sF15),
inference(forward_demodulation,[],[f481,f87]) ).
fof(f490,plain,
in(sF19,sF15),
inference(forward_demodulation,[],[f483,f99]) ).
fof(f491,plain,
in(sF17,sF15),
inference(forward_demodulation,[],[f484,f95]) ).
fof(f522,plain,
( in(unordered_pair(sF18,singleton(sK10)),sF22)
| ~ in(sK10,sF16)
| ~ in(sK12,sF21) ),
inference(superposition,[],[f200,f97]) ).
fof(f523,plain,
( in(unordered_pair(sF14,singleton(sK11)),sF22)
| ~ in(sK11,sF16)
| ~ in(sK12,sF21) ),
inference(superposition,[],[f200,f89]) ).
fof(f639,plain,
( in(unordered_pair(sF14,singleton(sK11)),sF22)
| ~ in(sK12,sF21) ),
inference(forward_subsumption_resolution,[],[f523,f170]) ).
fof(f640,plain,
( in(unordered_pair(sF18,singleton(sK10)),sF22)
| ~ in(sK12,sF21) ),
inference(forward_subsumption_resolution,[],[f522,f162]) ).
fof(f642,plain,
in(unordered_pair(sF14,singleton(sK11)),sF22),
inference(forward_subsumption_resolution,[],[f639,f183]) ).
fof(f643,plain,
in(unordered_pair(sF18,singleton(sK10)),sF22),
inference(forward_subsumption_resolution,[],[f640,f183]) ).
fof(f645,plain,
in(unordered_pair(sF14,sF23),sF22),
inference(forward_demodulation,[],[f642,f107]) ).
fof(f646,plain,
in(unordered_pair(sF18,sF13),sF22),
inference(forward_demodulation,[],[f643,f87]) ).
fof(f648,plain,
in(sF24,sF22),
inference(forward_demodulation,[],[f645,f109]) ).
fof(f649,plain,
in(sF19,sF22),
inference(forward_demodulation,[],[f646,f99]) ).
fof(f705,plain,
! [X0,X1] :
( ~ in(X1,cartesian_product2(X0,sF14))
| sK11 = sK6(X0,sF14,X1)
| sK12 = sK6(X0,sF14,X1) ),
inference(resolution,[],[f252,f84]) ).
fof(f720,plain,
! [X0] :
( ~ in(X0,sF15)
| sK11 = sK6(sF13,sF14,X0)
| sK12 = sK6(sF13,sF14,X0) ),
inference(superposition,[],[f705,f91]) ).
fof(f764,plain,
! [X0,X1] :
( ~ in(X1,cartesian_product2(sF16,X0))
| sK10 = sK5(sF16,X0,X1)
| sK11 = sK5(sF16,X0,X1) ),
inference(resolution,[],[f250,f83]) ).
fof(f775,plain,
! [X0] :
( ~ in(X0,sF22)
| sK10 = sK5(sF16,sF21,X0)
| sK11 = sK5(sF16,sF21,X0) ),
inference(superposition,[],[f764,f105]) ).
fof(f1100,plain,
! [X0] :
( in(sK9(X0,sF25),X0)
| sF19 = sK9(X0,sF25)
| sF24 = sK9(X0,sF25)
| sF25 = X0 ),
inference(resolution,[],[f257,f61]) ).
fof(f1144,plain,
( sF19 = sK9(sF22,sF25)
| sF24 = sK9(sF22,sF25)
| sF22 = sF25
| sK10 = sK5(sF16,sF21,sK9(sF22,sF25))
| sK11 = sK5(sF16,sF21,sK9(sF22,sF25)) ),
inference(resolution,[],[f1100,f775]) ).
fof(f1145,plain,
( sF19 = sK9(sF22,sF25)
| sF24 = sK9(sF22,sF25)
| sF22 = sF25
| sK12 = sK6(sF16,sF21,sK9(sF22,sF25)) ),
inference(resolution,[],[f1100,f287]) ).
fof(f1146,plain,
( sF19 = sK9(sF22,sF25)
| sF24 = sK9(sF22,sF25)
| sF22 = sF25
| sK9(sF22,sF25) = unordered_pair(unordered_pair(sK5(sF16,sF21,sK9(sF22,sF25)),sK6(sF16,sF21,sK9(sF22,sF25))),singleton(sK5(sF16,sF21,sK9(sF22,sF25)))) ),
inference(resolution,[],[f1100,f123]) ).
fof(f1190,plain,
( sF19 = sK9(sF22,sF25)
| sF24 = sK9(sF22,sF25)
| sK9(sF22,sF25) = unordered_pair(unordered_pair(sK5(sF16,sF21,sK9(sF22,sF25)),sK6(sF16,sF21,sK9(sF22,sF25))),singleton(sK5(sF16,sF21,sK9(sF22,sF25))))
| spl26_1 ),
inference(forward_subsumption_resolution,[],[f1146,f116]) ).
fof(f1191,plain,
( sF19 = sK9(sF22,sF25)
| sF24 = sK9(sF22,sF25)
| sK12 = sK6(sF16,sF21,sK9(sF22,sF25))
| spl26_1 ),
inference(forward_subsumption_resolution,[],[f1145,f116]) ).
fof(f1192,plain,
( sF19 = sK9(sF22,sF25)
| sF24 = sK9(sF22,sF25)
| sK10 = sK5(sF16,sF21,sK9(sF22,sF25))
| sK11 = sK5(sF16,sF21,sK9(sF22,sF25))
| spl26_1 ),
inference(forward_subsumption_resolution,[],[f1144,f116]) ).
fof(f1364,definition,
( spl26_119
<=> sK9(sF22,sF25) = unordered_pair(unordered_pair(sK5(sF16,sF21,sK9(sF22,sF25)),sK6(sF16,sF21,sK9(sF22,sF25))),singleton(sK5(sF16,sF21,sK9(sF22,sF25)))) ),
introduced(definition,[new_symbols(definition,[spl26_119])],[avatar_definition]) ).
fof(f1366,plain,
( sK9(sF22,sF25) = unordered_pair(unordered_pair(sK5(sF16,sF21,sK9(sF22,sF25)),sK6(sF16,sF21,sK9(sF22,sF25))),singleton(sK5(sF16,sF21,sK9(sF22,sF25))))
| ~ spl26_119 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1368,definition,
( spl26_120
<=> sF24 = sK9(sF22,sF25) ),
introduced(definition,[new_symbols(definition,[spl26_120])],[avatar_definition]) ).
fof(f1369,plain,
( sF24 != sK9(sF22,sF25)
| spl26_120 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1370,plain,
( sF24 = sK9(sF22,sF25)
| ~ spl26_120 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1372,definition,
( spl26_121
<=> sF19 = sK9(sF22,sF25) ),
introduced(definition,[new_symbols(definition,[spl26_121])],[avatar_definition]) ).
fof(f1373,plain,
( sF19 != sK9(sF22,sF25)
| spl26_121 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1374,plain,
( sF19 = sK9(sF22,sF25)
| ~ spl26_121 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1375,plain,
( spl26_119
| spl26_120
| spl26_121
| spl26_1 ),
inference(avatar_split_clause,[],[f1190,f114,f1372,f1368,f1364]) ).
fof(f1377,definition,
( spl26_122
<=> sK12 = sK6(sF16,sF21,sK9(sF22,sF25)) ),
introduced(definition,[new_symbols(definition,[spl26_122])],[avatar_definition]) ).
fof(f1379,plain,
( sK12 = sK6(sF16,sF21,sK9(sF22,sF25))
| ~ spl26_122 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1380,plain,
( spl26_122
| spl26_120
| spl26_121
| spl26_1 ),
inference(avatar_split_clause,[],[f1191,f114,f1372,f1368,f1377]) ).
fof(f1382,definition,
( spl26_123
<=> sK11 = sK5(sF16,sF21,sK9(sF22,sF25)) ),
introduced(definition,[new_symbols(definition,[spl26_123])],[avatar_definition]) ).
fof(f1384,plain,
( sK11 = sK5(sF16,sF21,sK9(sF22,sF25))
| ~ spl26_123 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1386,definition,
( spl26_124
<=> sK10 = sK5(sF16,sF21,sK9(sF22,sF25)) ),
introduced(definition,[new_symbols(definition,[spl26_124])],[avatar_definition]) ).
fof(f1388,plain,
( sK10 = sK5(sF16,sF21,sK9(sF22,sF25))
| ~ spl26_124 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1389,plain,
( spl26_123
| spl26_124
| spl26_120
| spl26_121
| spl26_1 ),
inference(avatar_split_clause,[],[f1192,f114,f1372,f1368,f1386,f1382]) ).
fof(f6054,plain,
! [X0] :
( in(sK9(X0,sF20),X0)
| sF19 = sK9(X0,sF20)
| sF17 = sK9(X0,sF20)
| sF20 = X0 ),
inference(resolution,[],[f258,f61]) ).
fof(f6139,plain,
( ~ in(sF19,sF25)
| sF22 = sF25
| ~ in(sF19,sF22)
| ~ spl26_121 ),
inference(superposition,[],[f62,f1374]) ).
fof(f6140,plain,
( sF22 = sF25
| ~ in(sF19,sF22)
| ~ spl26_121 ),
inference(forward_subsumption_resolution,[],[f6139,f169]) ).
fof(f6141,plain,
( ~ in(sF19,sF22)
| spl26_1
| ~ spl26_121 ),
inference(forward_subsumption_resolution,[],[f6140,f116]) ).
fof(f6142,plain,
( $false
| spl26_1
| ~ spl26_121 ),
inference(forward_subsumption_resolution,[],[f6141,f649]) ).
fof(f6143,plain,
( spl26_1
| ~ spl26_121 ),
inference(avatar_contradiction_clause,[],[f6142]) ).
fof(f6275,plain,
( sF19 = sK9(sF15,sF20)
| sF17 = sK9(sF15,sF20)
| sF15 = sF20
| sK11 = sK6(sF13,sF14,sK9(sF15,sF20))
| sK12 = sK6(sF13,sF14,sK9(sF15,sF20)) ),
inference(resolution,[],[f6054,f720]) ).
fof(f6276,plain,
( sF19 = sK9(sF15,sF20)
| sF17 = sK9(sF15,sF20)
| sF15 = sF20
| sK10 = sK5(sF13,sF14,sK9(sF15,sF20)) ),
inference(resolution,[],[f6054,f278]) ).
fof(f6277,plain,
( sF19 = sK9(sF15,sF20)
| sF17 = sK9(sF15,sF20)
| sF15 = sF20
| sK9(sF15,sF20) = unordered_pair(unordered_pair(sK5(sF13,sF14,sK9(sF15,sF20)),sK6(sF13,sF14,sK9(sF15,sF20))),singleton(sK5(sF13,sF14,sK9(sF15,sF20)))) ),
inference(resolution,[],[f6054,f122]) ).
fof(f6432,plain,
( sF19 = sK9(sF15,sF20)
| sF17 = sK9(sF15,sF20)
| sK9(sF15,sF20) = unordered_pair(unordered_pair(sK5(sF13,sF14,sK9(sF15,sF20)),sK6(sF13,sF14,sK9(sF15,sF20))),singleton(sK5(sF13,sF14,sK9(sF15,sF20))))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f6277,f120]) ).
fof(f6433,plain,
( sF19 = sK9(sF15,sF20)
| sF17 = sK9(sF15,sF20)
| sK10 = sK5(sF13,sF14,sK9(sF15,sF20))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f6276,f120]) ).
fof(f6434,plain,
( sF19 = sK9(sF15,sF20)
| sF17 = sK9(sF15,sF20)
| sK11 = sK6(sF13,sF14,sK9(sF15,sF20))
| sK12 = sK6(sF13,sF14,sK9(sF15,sF20))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f6275,f120]) ).
fof(f6475,definition,
( spl26_461
<=> sK9(sF15,sF20) = unordered_pair(unordered_pair(sK5(sF13,sF14,sK9(sF15,sF20)),sK6(sF13,sF14,sK9(sF15,sF20))),singleton(sK5(sF13,sF14,sK9(sF15,sF20)))) ),
introduced(definition,[new_symbols(definition,[spl26_461])],[avatar_definition]) ).
fof(f6477,plain,
( sK9(sF15,sF20) = unordered_pair(unordered_pair(sK5(sF13,sF14,sK9(sF15,sF20)),sK6(sF13,sF14,sK9(sF15,sF20))),singleton(sK5(sF13,sF14,sK9(sF15,sF20))))
| ~ spl26_461 ),
inference(avatar_component_clause,[],[f6475]) ).
fof(f6479,definition,
( spl26_462
<=> sF17 = sK9(sF15,sF20) ),
introduced(definition,[new_symbols(definition,[spl26_462])],[avatar_definition]) ).
fof(f6480,plain,
( sF17 != sK9(sF15,sF20)
| spl26_462 ),
inference(avatar_component_clause,[],[f6479]) ).
fof(f6481,plain,
( sF17 = sK9(sF15,sF20)
| ~ spl26_462 ),
inference(avatar_component_clause,[],[f6479]) ).
fof(f6483,definition,
( spl26_463
<=> sF19 = sK9(sF15,sF20) ),
introduced(definition,[new_symbols(definition,[spl26_463])],[avatar_definition]) ).
fof(f6484,plain,
( sF19 != sK9(sF15,sF20)
| spl26_463 ),
inference(avatar_component_clause,[],[f6483]) ).
fof(f6485,plain,
( sF19 = sK9(sF15,sF20)
| ~ spl26_463 ),
inference(avatar_component_clause,[],[f6483]) ).
fof(f6486,plain,
( spl26_461
| spl26_462
| spl26_463
| spl26_2 ),
inference(avatar_split_clause,[],[f6432,f118,f6483,f6479,f6475]) ).
fof(f6488,definition,
( spl26_464
<=> sK10 = sK5(sF13,sF14,sK9(sF15,sF20)) ),
introduced(definition,[new_symbols(definition,[spl26_464])],[avatar_definition]) ).
fof(f6490,plain,
( sK10 = sK5(sF13,sF14,sK9(sF15,sF20))
| ~ spl26_464 ),
inference(avatar_component_clause,[],[f6488]) ).
fof(f6491,plain,
( spl26_464
| spl26_462
| spl26_463
| spl26_2 ),
inference(avatar_split_clause,[],[f6433,f118,f6483,f6479,f6488]) ).
fof(f6493,definition,
( spl26_465
<=> sK12 = sK6(sF13,sF14,sK9(sF15,sF20)) ),
introduced(definition,[new_symbols(definition,[spl26_465])],[avatar_definition]) ).
fof(f6495,plain,
( sK12 = sK6(sF13,sF14,sK9(sF15,sF20))
| ~ spl26_465 ),
inference(avatar_component_clause,[],[f6493]) ).
fof(f6497,definition,
( spl26_466
<=> sK11 = sK6(sF13,sF14,sK9(sF15,sF20)) ),
introduced(definition,[new_symbols(definition,[spl26_466])],[avatar_definition]) ).
fof(f6499,plain,
( sK11 = sK6(sF13,sF14,sK9(sF15,sF20))
| ~ spl26_466 ),
inference(avatar_component_clause,[],[f6497]) ).
fof(f6500,plain,
( spl26_465
| spl26_466
| spl26_462
| spl26_463
| spl26_2 ),
inference(avatar_split_clause,[],[f6434,f118,f6483,f6479,f6497,f6493]) ).
fof(f7379,plain,
( sK9(sF22,sF25) = unordered_pair(singleton(sK5(sF16,sF21,sK9(sF22,sF25))),unordered_pair(sK5(sF16,sF21,sK9(sF22,sF25)),sK6(sF16,sF21,sK9(sF22,sF25))))
| ~ spl26_119 ),
inference(superposition,[],[f35,f1366]) ).
fof(f7590,plain,
( sK9(sF22,sF25) = unordered_pair(unordered_pair(sK5(sF16,sF21,sK9(sF22,sF25)),sK12),singleton(sK5(sF16,sF21,sK9(sF22,sF25))))
| ~ spl26_119
| ~ spl26_122 ),
inference(superposition,[],[f1366,f1379]) ).
fof(f11158,plain,
( sK9(sF22,sF25) = unordered_pair(singleton(sK5(sF16,sF21,sK9(sF22,sF25))),unordered_pair(sK5(sF16,sF21,sK9(sF22,sF25)),sK12))
| ~ spl26_119
| ~ spl26_122 ),
inference(forward_demodulation,[],[f7379,f1379]) ).
fof(f11209,plain,
( unordered_pair(singleton(sK10),unordered_pair(sK10,sK12)) = sK9(sF22,sF25)
| ~ spl26_119
| ~ spl26_122
| ~ spl26_124 ),
inference(forward_demodulation,[],[f11158,f1388]) ).
fof(f11256,plain,
( unordered_pair(singleton(sK10),sF18) = sK9(sF22,sF25)
| ~ spl26_119
| ~ spl26_122
| ~ spl26_124 ),
inference(forward_demodulation,[],[f11209,f97]) ).
fof(f11314,plain,
( unordered_pair(sF13,sF18) = sK9(sF22,sF25)
| ~ spl26_119
| ~ spl26_122
| ~ spl26_124 ),
inference(forward_demodulation,[],[f11256,f87]) ).
fof(f11341,plain,
( sF19 = sK9(sF22,sF25)
| ~ spl26_119
| ~ spl26_122
| ~ spl26_124 ),
inference(forward_demodulation,[],[f11314,f238]) ).
fof(f11371,plain,
( $false
| ~ spl26_119
| spl26_121
| ~ spl26_122
| ~ spl26_124 ),
inference(forward_subsumption_resolution,[],[f11341,f1373]) ).
fof(f11372,plain,
( ~ spl26_119
| spl26_121
| ~ spl26_122
| ~ spl26_124 ),
inference(avatar_contradiction_clause,[],[f11371]) ).
fof(f11818,plain,
( ~ in(sF24,sF25)
| sF22 = sF25
| ~ in(sF24,sF22)
| ~ spl26_120 ),
inference(superposition,[],[f62,f1370]) ).
fof(f11819,plain,
( sF22 = sF25
| ~ in(sF24,sF22)
| ~ spl26_120 ),
inference(forward_subsumption_resolution,[],[f11818,f177]) ).
fof(f11820,plain,
( ~ in(sF24,sF22)
| spl26_1
| ~ spl26_120 ),
inference(forward_subsumption_resolution,[],[f11819,f116]) ).
fof(f11821,plain,
( $false
| spl26_1
| ~ spl26_120 ),
inference(forward_subsumption_resolution,[],[f11820,f648]) ).
fof(f11822,plain,
( spl26_1
| ~ spl26_120 ),
inference(avatar_contradiction_clause,[],[f11821]) ).
fof(f11850,plain,
( unordered_pair(unordered_pair(sK11,sK12),singleton(sK11)) = sK9(sF22,sF25)
| ~ spl26_119
| ~ spl26_122
| ~ spl26_123 ),
inference(forward_demodulation,[],[f7590,f1384]) ).
fof(f11883,plain,
( sK9(sF22,sF25) = unordered_pair(unordered_pair(sK11,sK12),sF23)
| ~ spl26_119
| ~ spl26_122
| ~ spl26_123 ),
inference(forward_demodulation,[],[f11850,f107]) ).
fof(f11904,plain,
( unordered_pair(sF14,sF23) = sK9(sF22,sF25)
| ~ spl26_119
| ~ spl26_122
| ~ spl26_123 ),
inference(forward_demodulation,[],[f11883,f89]) ).
fof(f11917,plain,
( sF24 = sK9(sF22,sF25)
| ~ spl26_119
| ~ spl26_122
| ~ spl26_123 ),
inference(forward_demodulation,[],[f11904,f109]) ).
fof(f11918,plain,
( $false
| ~ spl26_119
| spl26_120
| ~ spl26_122
| ~ spl26_123 ),
inference(forward_subsumption_resolution,[],[f11917,f1369]) ).
fof(f11919,plain,
( ~ spl26_119
| spl26_120
| ~ spl26_122
| ~ spl26_123 ),
inference(avatar_contradiction_clause,[],[f11918]) ).
fof(f12051,plain,
( ~ in(sF17,sF20)
| sF15 = sF20
| ~ in(sF17,sF15)
| ~ spl26_462 ),
inference(superposition,[],[f62,f6481]) ).
fof(f12052,plain,
( sF15 = sF20
| ~ in(sF17,sF15)
| ~ spl26_462 ),
inference(forward_subsumption_resolution,[],[f12051,f167]) ).
fof(f12053,plain,
( ~ in(sF17,sF15)
| spl26_2
| ~ spl26_462 ),
inference(forward_subsumption_resolution,[],[f12052,f120]) ).
fof(f12054,plain,
( $false
| spl26_2
| ~ spl26_462 ),
inference(forward_subsumption_resolution,[],[f12053,f491]) ).
fof(f12055,plain,
( spl26_2
| ~ spl26_462 ),
inference(avatar_contradiction_clause,[],[f12054]) ).
fof(f12058,plain,
( ~ in(sF19,sF20)
| sF15 = sF20
| ~ in(sF19,sF15)
| ~ spl26_463 ),
inference(superposition,[],[f62,f6485]) ).
fof(f12059,plain,
( sF15 = sF20
| ~ in(sF19,sF15)
| ~ spl26_463 ),
inference(forward_subsumption_resolution,[],[f12058,f175]) ).
fof(f12060,plain,
( ~ in(sF19,sF15)
| spl26_2
| ~ spl26_463 ),
inference(forward_subsumption_resolution,[],[f12059,f120]) ).
fof(f12061,plain,
( $false
| spl26_2
| ~ spl26_463 ),
inference(forward_subsumption_resolution,[],[f12060,f490]) ).
fof(f12062,plain,
( spl26_2
| ~ spl26_463 ),
inference(avatar_contradiction_clause,[],[f12061]) ).
fof(f12075,plain,
( sK9(sF15,sF20) = unordered_pair(singleton(sK5(sF13,sF14,sK9(sF15,sF20))),unordered_pair(sK5(sF13,sF14,sK9(sF15,sF20)),sK6(sF13,sF14,sK9(sF15,sF20))))
| ~ spl26_461 ),
inference(superposition,[],[f6477,f35]) ).
fof(f12128,plain,
( sK9(sF15,sF20) = unordered_pair(singleton(sK5(sF13,sF14,sK9(sF15,sF20))),unordered_pair(sK5(sF13,sF14,sK9(sF15,sF20)),sK11))
| ~ spl26_461
| ~ spl26_466 ),
inference(forward_demodulation,[],[f12075,f6499]) ).
fof(f12153,plain,
( unordered_pair(singleton(sK10),unordered_pair(sK10,sK11)) = sK9(sF15,sF20)
| ~ spl26_461
| ~ spl26_464
| ~ spl26_466 ),
inference(forward_demodulation,[],[f12128,f6490]) ).
fof(f12176,plain,
( unordered_pair(singleton(sK10),sF16) = sK9(sF15,sF20)
| ~ spl26_461
| ~ spl26_464
| ~ spl26_466 ),
inference(forward_demodulation,[],[f12153,f93]) ).
fof(f12198,plain,
( unordered_pair(sF13,sF16) = sK9(sF15,sF20)
| ~ spl26_461
| ~ spl26_464
| ~ spl26_466 ),
inference(forward_demodulation,[],[f12176,f87]) ).
fof(f12217,plain,
( sF17 = sK9(sF15,sF20)
| ~ spl26_461
| ~ spl26_464
| ~ spl26_466 ),
inference(forward_demodulation,[],[f12198,f236]) ).
fof(f12235,plain,
( $false
| ~ spl26_461
| spl26_462
| ~ spl26_464
| ~ spl26_466 ),
inference(forward_subsumption_resolution,[],[f12217,f6480]) ).
fof(f12236,plain,
( ~ spl26_461
| spl26_462
| ~ spl26_464
| ~ spl26_466 ),
inference(avatar_contradiction_clause,[],[f12235]) ).
fof(f12264,plain,
( sK9(sF15,sF20) = unordered_pair(singleton(sK5(sF13,sF14,sK9(sF15,sF20))),unordered_pair(sK5(sF13,sF14,sK9(sF15,sF20)),sK12))
| ~ spl26_461
| ~ spl26_465 ),
inference(forward_demodulation,[],[f12075,f6495]) ).
fof(f12287,plain,
( unordered_pair(singleton(sK10),unordered_pair(sK10,sK12)) = sK9(sF15,sF20)
| ~ spl26_461
| ~ spl26_464
| ~ spl26_465 ),
inference(forward_demodulation,[],[f12264,f6490]) ).
fof(f12309,plain,
( unordered_pair(singleton(sK10),sF18) = sK9(sF15,sF20)
| ~ spl26_461
| ~ spl26_464
| ~ spl26_465 ),
inference(forward_demodulation,[],[f12287,f97]) ).
fof(f12328,plain,
( unordered_pair(sF13,sF18) = sK9(sF15,sF20)
| ~ spl26_461
| ~ spl26_464
| ~ spl26_465 ),
inference(forward_demodulation,[],[f12309,f87]) ).
fof(f12344,plain,
( sF19 = sK9(sF15,sF20)
| ~ spl26_461
| ~ spl26_464
| ~ spl26_465 ),
inference(forward_demodulation,[],[f12328,f238]) ).
fof(f12361,plain,
( $false
| ~ spl26_461
| spl26_463
| ~ spl26_464
| ~ spl26_465 ),
inference(forward_subsumption_resolution,[],[f12344,f6484]) ).
fof(f12362,plain,
( ~ spl26_461
| spl26_463
| ~ spl26_464
| ~ spl26_465 ),
inference(avatar_contradiction_clause,[],[f12361]) ).
cnf(s1,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(sat_conversion,[],[f121]) ).
cnf(s49,plain,
( spl26_1
| spl26_119
| spl26_120
| spl26_121 ),
inference(sat_conversion,[],[f1375]) ).
cnf(s50,plain,
( spl26_1
| spl26_120
| spl26_121
| spl26_122 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s51,plain,
( spl26_1
| spl26_120
| spl26_121
| spl26_123
| spl26_124 ),
inference(sat_conversion,[],[f1389]) ).
cnf(s325,plain,
( spl26_1
| ~ spl26_121 ),
inference(sat_conversion,[],[f6143]) ).
cnf(s343,plain,
( spl26_2
| spl26_461
| spl26_462
| spl26_463 ),
inference(sat_conversion,[],[f6486]) ).
cnf(s344,plain,
( spl26_2
| spl26_462
| spl26_463
| spl26_464 ),
inference(sat_conversion,[],[f6491]) ).
cnf(s345,plain,
( spl26_2
| spl26_462
| spl26_463
| spl26_465
| spl26_466 ),
inference(sat_conversion,[],[f6500]) ).
cnf(s508,plain,
( ~ spl26_119
| spl26_121
| ~ spl26_122
| ~ spl26_124 ),
inference(sat_conversion,[],[f11372]) ).
cnf(s540,plain,
( spl26_1
| ~ spl26_120 ),
inference(sat_conversion,[],[f11822]) ).
cnf(s543,plain,
( ~ spl26_119
| spl26_120
| ~ spl26_122
| ~ spl26_123 ),
inference(sat_conversion,[],[f11919]) ).
cnf(s552,plain,
( spl26_2
| ~ spl26_462 ),
inference(sat_conversion,[],[f12055]) ).
cnf(s553,plain,
( spl26_2
| ~ spl26_463 ),
inference(sat_conversion,[],[f12062]) ).
cnf(s557,plain,
( ~ spl26_461
| spl26_462
| ~ spl26_464
| ~ spl26_466 ),
inference(sat_conversion,[],[f12236]) ).
cnf(s561,plain,
( ~ spl26_461
| spl26_463
| ~ spl26_464
| ~ spl26_465 ),
inference(sat_conversion,[],[f12362]) ).
cnf(s562,plain,
( spl26_1
| spl26_121
| spl26_120 ),
inference(rat,[],[s51,s543,s508,s50,s49]) ).
cnf(s563,plain,
spl26_1,
inference(rat,[],[s562,s325,s540]) ).
cnf(s564,plain,
~ spl26_2,
inference(rat,[],[s1,s563]) ).
cnf(s565,plain,
~ spl26_463,
inference(rat,[],[s553,s564]) ).
cnf(s566,plain,
~ spl26_462,
inference(rat,[],[s552,s564]) ).
cnf(s567,plain,
spl26_464,
inference(rat,[],[s344,s566,s565,s564]) ).
cnf(s568,plain,
spl26_461,
inference(rat,[],[s343,s565,s564,s566]) ).
cnf(s569,plain,
~ spl26_466,
inference(rat,[],[s557,s566,s567,s568]) ).
cnf(s570,plain,
~ spl26_465,
inference(rat,[],[s561,s565,s567,s568]) ).
cnf(s571,plain,
$false,
inference(rat,[],[s345,s566,s565,s564,s570,s569]) ).
fof(f12371,plain,
$false,
inference(avatar_sat_refutation,[],[s571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET895+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 03:06:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 10.47/2.39 % (3545134)Detected formulas, will run a generic FOF schedule.
% 10.47/2.39 % (3545143)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2042206300:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.47/2.39 % (3545144)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4258875791:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.47/2.39 % (3545142)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2164234020:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.47/2.39 % (3545140)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=2229202747:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.47/2.39 % (3545145)dis-21_1_sil=8000:lcm=predicate:random_seed=128376352: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)
% 10.47/2.39 % (3545139)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=1914492523:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.47/2.39 % (3545141)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=2108538516:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.47/2.39 % (3545143)Instruction limit reached!
% 10.47/2.39 % (3545143)------------------------------
% 10.47/2.39 % (3545143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (3545143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (3545143)CaDiCaL version: 2.1.3
% 10.47/2.39 % (3545143)Termination reason: Instruction limit
% 10.47/2.39 % (3545143)Termination phase: Saturation
% 10.47/2.39 % (3545143)Time elapsed: 0.041 s
% 10.47/2.39 % (3545143)Peak memory usage: 89 MB
% 10.47/2.39 % (3545143)Instructions burned: 123 (million)
% 10.47/2.39 % (3545142)Refutation not found, incomplete strategy
% 10.47/2.39 % (3545142)------------------------------
% 10.47/2.39 % (3545142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (3545142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (3545142)CaDiCaL version: 2.1.3
% 10.47/2.39 % (3545142)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.39 % (3545142)Time elapsed: 0.003 s
% 10.47/2.39 % (3545142)Peak memory usage: 89 MB
% 10.47/2.39 % (3545142)Instructions burned: 2 (million)
% 10.47/2.39 % (3545145)Instruction limit reached!
% 10.47/2.39 % (3545145)------------------------------
% 10.47/2.39 % (3545145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (3545145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (3545145)CaDiCaL version: 2.1.3
% 10.47/2.39 % (3545145)Termination reason: Instruction limit
% 10.47/2.39 % (3545145)Termination phase: Saturation
% 10.47/2.39 % (3545145)Time elapsed: 0.051 s
% 10.47/2.39 % (3545145)Peak memory usage: 90 MB
% 10.47/2.39 % (3545145)Instructions burned: 131 (million)
% 10.47/2.39 % (3545153)lrs+10_1_sil=8000:sp=occurrence:random_seed=4198301608:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.47/2.39 % (3545144)Instruction limit reached!
% 10.47/2.39 % (3545144)------------------------------
% 10.47/2.39 % (3545144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (3545144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (3545144)CaDiCaL version: 2.1.3
% 10.47/2.39 % (3545144)Termination reason: Instruction limit
% 10.47/2.39 % (3545144)Termination phase: Saturation
% 10.47/2.39 % (3545144)Time elapsed: 0.096 s
% 10.47/2.39 % (3545144)Peak memory usage: 90 MB
% 10.47/2.39 % (3545144)Instructions burned: 139 (million)
% 10.47/2.39 % (3545153)Instruction limit reached!
% 10.47/2.39 % (3545153)------------------------------
% 10.47/2.39 % (3545153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.39 % (3545153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.39 % (3545153)CaDiCaL version: 2.1.3
% 10.47/2.39 % (3545153)Termination reason: Instruction limit
% 10.47/2.39 % (3545153)Termination phase: Saturation
% 10.47/2.39 % (3545153)Time elapsed: 0.082 s
% 10.47/2.39 % (3545153)Peak memory usage: 91 MB
% 10.47/2.39 % (3545153)Instructions burned: 286 (million)
% 11.60/2.53 % (3545154)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2828379638:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 11.60/2.53 % (3545156)lrs+1011_1_sil=32000:sp=occurrence:random_seed=321664206:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.60/2.53 % (3545142)------------------------------
% 11.60/2.53 % (3545142)------------------------------
% 11.60/2.53 % (3545157)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=1548786343:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.60/2.53 % (3545154)Instruction limit reached!
% 11.60/2.53 % (3545154)------------------------------
% 11.60/2.53 % (3545154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545154)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545154)Termination reason: Instruction limit
% 11.60/2.53 % (3545154)Termination phase: Saturation
% 11.60/2.53 % (3545154)Time elapsed: 0.084 s
% 11.60/2.53 % (3545154)Peak memory usage: 90 MB
% 11.60/2.53 % (3545154)Instructions burned: 157 (million)
% 11.60/2.53 % (3545157)Instruction limit reached!
% 11.60/2.53 % (3545157)------------------------------
% 11.60/2.53 % (3545157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545157)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545157)Termination reason: Instruction limit
% 11.60/2.53 % (3545157)Termination phase: Saturation
% 11.60/2.53 % (3545157)Time elapsed: 0.072 s
% 11.60/2.53 % (3545157)Peak memory usage: 91 MB
% 11.60/2.53 % (3545157)Instructions burned: 250 (million)
% 11.60/2.53 % (3545160)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3703829753:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 11.60/2.53 % (3545160)Refutation not found, incomplete strategy
% 11.60/2.53 % (3545160)------------------------------
% 11.60/2.53 % (3545160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545160)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545160)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.53 % (3545160)Time elapsed: 0.003 s
% 11.60/2.53 % (3545160)Peak memory usage: 89 MB
% 11.60/2.53 % (3545160)Instructions burned: 2 (million)
% 11.60/2.53 % (3545162)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4263835429:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.60/2.53 % (3545163)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=480493153:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 11.60/2.53 % (3545156)Instruction limit reached!
% 11.60/2.53 % (3545156)------------------------------
% 11.60/2.53 % (3545156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545156)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545156)Termination reason: Instruction limit
% 11.60/2.53 % (3545156)Termination phase: Saturation
% 11.60/2.53 % (3545156)Time elapsed: 0.207 s
% 11.60/2.53 % (3545156)Peak memory usage: 92 MB
% 11.60/2.53 % (3545156)Instructions burned: 326 (million)
% 11.60/2.53 % (3545163)Instruction limit reached!
% 11.60/2.53 % (3545163)------------------------------
% 11.60/2.53 % (3545163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545163)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545163)Termination reason: Instruction limit
% 11.60/2.53 % (3545163)Termination phase: Saturation
% 11.60/2.53 % (3545163)Time elapsed: 0.035 s
% 11.60/2.53 % (3545163)Peak memory usage: 89 MB
% 11.60/2.53 % (3545163)Instructions burned: 114 (million)
% 11.60/2.53 % (3545168)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1479438388:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 11.60/2.53 % (3545168)Instruction limit reached!
% 11.60/2.53 % (3545168)------------------------------
% 11.60/2.53 % (3545168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545168)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545168)Termination reason: Instruction limit
% 11.60/2.53 % (3545168)Termination phase: Saturation
% 11.60/2.53 % (3545168)Time elapsed: 0.032 s
% 11.60/2.53 % (3545168)Peak memory usage: 89 MB
% 11.60/2.53 % (3545168)Instructions burned: 116 (million)
% 11.60/2.53 % (3545167)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3891585597:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.60/2.53 % (3545167)Refutation not found, incomplete strategy
% 11.60/2.53 % (3545167)------------------------------
% 11.60/2.53 % (3545167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545167)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545167)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.53 % (3545167)Time elapsed: 0.002 s
% 11.60/2.53 % (3545167)Peak memory usage: 88 MB
% 11.60/2.53 % (3545167)Instructions burned: 1 (million)
% 11.60/2.53 % (3545160)------------------------------
% 11.60/2.53 % (3545160)------------------------------
% 11.60/2.53 % (3545170)lrs+10_1_sil=8000:sp=occurrence:random_seed=4154762387:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 11.60/2.53 % (3545172)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2735565453:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 11.60/2.53 % (3545172)Refutation not found, incomplete strategy
% 11.60/2.53 % (3545172)------------------------------
% 11.60/2.53 % (3545172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545172)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545172)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.53 % (3545172)Time elapsed: 0.002 s
% 11.60/2.53 % (3545172)Peak memory usage: 89 MB
% 11.60/2.53 % (3545172)Instructions burned: 2 (million)
% 11.60/2.53 % (3545167)------------------------------
% 11.60/2.53 % (3545167)------------------------------
% 11.60/2.53 % (3545170)Instruction limit reached!
% 11.60/2.53 % (3545170)------------------------------
% 11.60/2.53 % (3545170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545170)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545170)Termination reason: Instruction limit
% 11.60/2.53 % (3545170)Termination phase: Saturation
% 11.60/2.53 % (3545170)Time elapsed: 0.263 s
% 11.60/2.53 % (3545170)Peak memory usage: 96 MB
% 11.60/2.53 % (3545170)Instructions burned: 907 (million)
% 11.60/2.53 % (3545175)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3641597414:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.60/2.53 % (3545172)------------------------------
% 11.60/2.53 % (3545172)------------------------------
% 11.60/2.53 % (3545176)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2290951301:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 11.60/2.53 % (3545176)Instruction limit reached!
% 11.60/2.53 % (3545176)------------------------------
% 11.60/2.53 % (3545176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545176)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545176)Termination reason: Instruction limit
% 11.60/2.53 % (3545176)Termination phase: Saturation
% 11.60/2.53 % (3545176)Time elapsed: 0.040 s
% 11.60/2.53 % (3545176)Peak memory usage: 90 MB
% 11.60/2.53 % (3545176)Instructions burned: 137 (million)
% 11.60/2.53 % (3545178)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3689567119:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.60/2.53 % (3545180)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1972443568:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 11.60/2.53 % (3545139)First to succeed.
% 11.60/2.53 % (3545139)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3545134"
% 11.60/2.53 % (3545178)Instruction limit reached!
% 11.60/2.53 % (3545178)------------------------------
% 11.60/2.53 % (3545178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.53 % (3545178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.53 % (3545178)CaDiCaL version: 2.1.3
% 11.60/2.53 % (3545178)Termination reason: Instruction limit
% 11.60/2.53 % (3545178)Termination phase: Saturation
% 11.60/2.53 % (3545178)Time elapsed: 0.275 s
% 11.60/2.53 % (3545178)Peak memory usage: 91 MB
% 11.60/2.53 % (3545178)Instructions burned: 594 (million)
% 11.60/2.53 % (3545183)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=506698579:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 11.60/2.53 % (3545139)Refutation found. Thanks to Tanya!
% 11.60/2.53 % SZS status Theorem for theBenchmark
% 11.60/2.53 % SZS output start Proof for theBenchmark
% See solution above
% 12.57/2.72 % (3545139)------------------------------
% 12.57/2.72 % (3545139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.72 % (3545139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.72 % (3545139)CaDiCaL version: 2.1.3
% 12.57/2.72 % (3545139)Termination reason: Refutation
% 12.57/2.72 % (3545139)Time elapsed: 1.288 s
% 12.57/2.72 % (3545139)Peak memory usage: 139 MB
% 12.57/2.72 % (3545139)Instructions burned: 2056 (million)
% 12.57/2.72 % (3545139)------------------------------
% 12.57/2.72 % (3545139)------------------------------
% 12.57/2.72 % (3545134)Success in time 1.692 s
% 12.57/2.72 % Vampire exiting
%------------------------------------------------------------------------------