%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET894+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:44:56 PM UTC 2026
% Result : Theorem 21.57s 5.05s
% Output : Refutation 21.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 93 ( 32 unt; 6 def)
% Number of atoms : 269 ( 128 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 281 ( 105 ~; 129 |; 39 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 159 ( 141 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(f5,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f10,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f11,conjecture,
! [X0,X1] : cartesian_product2(singleton(X0),singleton(X1)) = singleton(ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_zfmisc_1) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] : cartesian_product2(singleton(X0),singleton(X1)) = singleton(ordered_pair(X0,X1)),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f14,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f15,plain,
? [X0,X1] : cartesian_product2(singleton(X0),singleton(X1)) != singleton(ordered_pair(X0,X1)),
inference(ennf_transformation,[],[f12]) ).
fof(f16,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(f17,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,[],[f16]) ).
fof(f18,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))],[f17]) ).
fof(f19,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,[],[f4]) ).
fof(f20,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,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != sK1(X0,X1,X2) )
| ~ in(sK1(X0,X1,X2),X2) )
& ( ( in(sK2(X0,X1,X2),X0)
& in(sK3(X0,X1,X2),X1)
& sK1(X0,X1,X2) = ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)) )
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ~ in(X9,X0)
| ~ in(X10,X1)
| ordered_pair(X9,X10) != X8 ) )
& ( ( in(sK4(X0,X1,X8),X0)
& in(sK5(X0,X1,X8),X1)
& ordered_pair(sK4(X0,X1,X8),sK5(X0,X1,X8)) = X8 )
| ~ in(X8,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X6,sK2(X0,X1,X2)),skolemize(X7,sK3(X0,X1,X2)),skolemize(X11,sK4(X0,X1,X8)),skolemize(X12,sK5(X0,X1,X8))],[f20]) ).
fof(f22,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,[],[f7]) ).
fof(f23,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,[],[f22]) ).
fof(f26,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK8(X0,X1),X1)
| ~ in(sK8(X0,X1),X0) )
& ( in(sK8(X0,X1),X1)
| in(sK8(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f26]) ).
fof(f28,plain,
cartesian_product2(singleton(sK9),singleton(sK10)) != singleton(ordered_pair(sK9,sK10)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f15]) ).
fof(f30,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f31,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X2,X0,X1,X8] :
( ordered_pair(sK4(X0,X1,X8),sK5(X0,X1,X8)) = X8
| ~ in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X2,X0,X1,X8] :
( in(sK5(X0,X1,X8),X1)
| ~ in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f37,plain,
! [X2,X0,X1,X8] :
( in(sK4(X0,X1,X8),X0)
| ~ in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f50,plain,
! [X0,X1] :
( in(sK8(X0,X1),X1)
| in(sK8(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
! [X0,X1] :
( ~ in(sK8(X0,X1),X1)
| X0 = X1
| ~ in(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f52,plain,
cartesian_product2(singleton(sK9),singleton(sK10)) != singleton(ordered_pair(sK9,sK10)),
inference(cnf_transformation,[],[f28]) ).
fof(f56,plain,
! [X2,X0,X1,X8] :
( unordered_pair(unordered_pair(sK4(X0,X1,X8),sK5(X0,X1,X8)),singleton(sK4(X0,X1,X8))) = X8
| ~ in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(definition_unfolding,[],[f35,f43]) ).
fof(f58,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,[],[f47,f43]) ).
fof(f61,plain,
cartesian_product2(singleton(sK9),singleton(sK10)) != singleton(unordered_pair(unordered_pair(sK9,sK10),singleton(sK9))),
inference(definition_unfolding,[],[f52,f43]) ).
fof(f62,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f32]) ).
fof(f63,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f62]) ).
fof(f64,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f31]) ).
fof(f67,plain,
! [X0,X1,X8] :
( in(sK4(X0,X1,X8),X0)
| ~ in(X8,cartesian_product2(X0,X1)) ),
inference(equality_resolution,[],[f37]) ).
fof(f68,plain,
! [X0,X1,X8] :
( in(sK5(X0,X1,X8),X1)
| ~ in(X8,cartesian_product2(X0,X1)) ),
inference(equality_resolution,[],[f36]) ).
fof(f69,plain,
! [X0,X1,X8] :
( ~ in(X8,cartesian_product2(X0,X1))
| unordered_pair(unordered_pair(sK4(X0,X1,X8),sK5(X0,X1,X8)),singleton(sK4(X0,X1,X8))) = X8 ),
inference(equality_resolution,[],[f56]) ).
fof(f70,definition,
sF11 = singleton(sK9),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f71,plain,
singleton(sK9) = sF11,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF12 = singleton(sK10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f73,plain,
singleton(sK10) = sF12,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF13 = cartesian_product2(sF11,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f75,plain,
cartesian_product2(sF11,sF12) = sF13,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF14 = unordered_pair(sK9,sK10),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f77,plain,
unordered_pair(sK9,sK10) = sF14,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF15 = unordered_pair(sF14,sF11),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f79,plain,
unordered_pair(sF14,sF11) = sF15,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF16 = singleton(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f81,plain,
singleton(sF15) = sF16,
inference(reorient_equations,[],[f80]) ).
fof(f82,plain,
sF13 != sF16,
inference(definition_folding,[],[f61,f81,f79,f71,f77,f75,f73,f71]) ).
fof(f83,plain,
sF15 = unordered_pair(sF11,sF14),
inference(forward_demodulation,[],[f79,f30]) ).
fof(f84,plain,
in(sK9,sF11),
inference(superposition,[],[f63,f71]) ).
fof(f85,plain,
in(sK10,sF12),
inference(superposition,[],[f63,f73]) ).
fof(f86,plain,
in(sF15,sF16),
inference(superposition,[],[f63,f81]) ).
fof(f109,plain,
! [X0] :
( ~ in(X0,sF11)
| sK9 = X0 ),
inference(superposition,[],[f64,f71]) ).
fof(f110,plain,
! [X0] :
( ~ in(X0,sF12)
| sK10 = X0 ),
inference(superposition,[],[f64,f73]) ).
fof(f111,plain,
! [X0] :
( ~ in(X0,sF16)
| sF15 = X0 ),
inference(superposition,[],[f64,f81]) ).
fof(f172,plain,
! [X0,X1] :
( ~ in(X1,cartesian_product2(sF11,X0))
| sK9 = sK4(sF11,X0,X1) ),
inference(resolution,[],[f109,f67]) ).
fof(f182,plain,
! [X0,X1] :
( ~ in(X1,cartesian_product2(X0,sF12))
| sK10 = sK5(X0,sF12,X1) ),
inference(resolution,[],[f110,f68]) ).
fof(f189,plain,
! [X0] :
( in(sK8(X0,sF16),X0)
| sF15 = sK8(X0,sF16)
| sF16 = X0 ),
inference(resolution,[],[f111,f50]) ).
fof(f195,plain,
! [X0,X1] :
( in(unordered_pair(sF14,singleton(sK9)),cartesian_product2(X0,X1))
| ~ in(sK9,X0)
| ~ in(sK10,X1) ),
inference(superposition,[],[f58,f77]) ).
fof(f211,plain,
! [X0,X1] :
( in(unordered_pair(sF14,sF11),cartesian_product2(X0,X1))
| ~ in(sK9,X0)
| ~ in(sK10,X1) ),
inference(forward_demodulation,[],[f195,f71]) ).
fof(f213,plain,
! [X0,X1] :
( in(unordered_pair(sF11,sF14),cartesian_product2(X0,X1))
| ~ in(sK9,X0)
| ~ in(sK10,X1) ),
inference(forward_demodulation,[],[f211,f30]) ).
fof(f214,plain,
! [X0,X1] :
( in(sF15,cartesian_product2(X0,X1))
| ~ in(sK9,X0)
| ~ in(sK10,X1) ),
inference(forward_demodulation,[],[f213,f83]) ).
fof(f244,plain,
! [X0] :
( ~ in(X0,sF13)
| unordered_pair(unordered_pair(sK4(sF11,sF12,X0),sK5(sF11,sF12,X0)),singleton(sK4(sF11,sF12,X0))) = X0 ),
inference(superposition,[],[f69,f75]) ).
fof(f245,plain,
! [X0] :
( ~ in(X0,sF13)
| unordered_pair(singleton(sK4(sF11,sF12,X0)),unordered_pair(sK4(sF11,sF12,X0),sK5(sF11,sF12,X0))) = X0 ),
inference(forward_demodulation,[],[f244,f30]) ).
fof(f338,plain,
( in(sF15,sF13)
| ~ in(sK9,sF11)
| ~ in(sK10,sF12) ),
inference(superposition,[],[f214,f75]) ).
fof(f339,plain,
( in(sF15,sF13)
| ~ in(sK10,sF12) ),
inference(forward_subsumption_resolution,[],[f338,f84]) ).
fof(f341,plain,
in(sF15,sF13),
inference(forward_subsumption_resolution,[],[f339,f85]) ).
fof(f484,plain,
! [X0] :
( ~ in(X0,sF13)
| sK9 = sK4(sF11,sF12,X0) ),
inference(superposition,[],[f172,f75]) ).
fof(f744,plain,
! [X0] :
( ~ in(X0,sF13)
| sK10 = sK5(sF11,sF12,X0) ),
inference(superposition,[],[f182,f75]) ).
fof(f1514,plain,
( sF15 = sK8(sF13,sF16)
| sF13 = sF16
| sK8(sF13,sF16) = unordered_pair(singleton(sK4(sF11,sF12,sK8(sF13,sF16))),unordered_pair(sK4(sF11,sF12,sK8(sF13,sF16)),sK5(sF11,sF12,sK8(sF13,sF16)))) ),
inference(resolution,[],[f189,f245]) ).
fof(f1515,plain,
( sF15 = sK8(sF13,sF16)
| sF13 = sF16
| sK10 = sK5(sF11,sF12,sK8(sF13,sF16)) ),
inference(resolution,[],[f189,f744]) ).
fof(f1516,plain,
( sF15 = sK8(sF13,sF16)
| sF13 = sF16
| sK9 = sK4(sF11,sF12,sK8(sF13,sF16)) ),
inference(resolution,[],[f189,f484]) ).
fof(f1520,plain,
( sK9 = sK4(sF11,sF12,sK8(sF13,sF16))
| sF15 = sK8(sF13,sF16) ),
inference(forward_subsumption_resolution,[],[f1516,f82]) ).
fof(f1521,plain,
( sK10 = sK5(sF11,sF12,sK8(sF13,sF16))
| sF15 = sK8(sF13,sF16) ),
inference(forward_subsumption_resolution,[],[f1515,f82]) ).
fof(f1522,plain,
( sK8(sF13,sF16) = unordered_pair(singleton(sK4(sF11,sF12,sK8(sF13,sF16))),unordered_pair(sK4(sF11,sF12,sK8(sF13,sF16)),sK5(sF11,sF12,sK8(sF13,sF16))))
| sF15 = sK8(sF13,sF16) ),
inference(forward_subsumption_resolution,[],[f1514,f82]) ).
fof(f1600,plain,
( sK8(sF13,sF16) = unordered_pair(singleton(sK9),unordered_pair(sK9,sK5(sF11,sF12,sK8(sF13,sF16))))
| sF15 = sK8(sF13,sF16)
| sF15 = sK8(sF13,sF16) ),
inference(superposition,[],[f1522,f1520]) ).
fof(f1633,plain,
( sK8(sF13,sF16) = unordered_pair(singleton(sK9),unordered_pair(sK9,sK5(sF11,sF12,sK8(sF13,sF16))))
| sF15 = sK8(sF13,sF16) ),
inference(duplicate_literal_removal,[],[f1600]) ).
fof(f1651,plain,
( sK8(sF13,sF16) = unordered_pair(sF11,unordered_pair(sK9,sK5(sF11,sF12,sK8(sF13,sF16))))
| sF15 = sK8(sF13,sF16) ),
inference(forward_demodulation,[],[f1633,f71]) ).
fof(f1768,plain,
( unordered_pair(sF11,unordered_pair(sK9,sK10)) = sK8(sF13,sF16)
| sF15 = sK8(sF13,sF16)
| sF15 = sK8(sF13,sF16) ),
inference(superposition,[],[f1651,f1521]) ).
fof(f1800,plain,
( unordered_pair(sF11,unordered_pair(sK9,sK10)) = sK8(sF13,sF16)
| sF15 = sK8(sF13,sF16) ),
inference(duplicate_literal_removal,[],[f1768]) ).
fof(f1814,plain,
( unordered_pair(sF11,sF14) = sK8(sF13,sF16)
| sF15 = sK8(sF13,sF16) ),
inference(forward_demodulation,[],[f1800,f77]) ).
fof(f1815,plain,
( sF15 = sK8(sF13,sF16)
| sF15 = sK8(sF13,sF16) ),
inference(forward_demodulation,[],[f1814,f83]) ).
fof(f1816,plain,
sF15 = sK8(sF13,sF16),
inference(duplicate_literal_removal,[],[f1815]) ).
fof(f1836,plain,
( ~ in(sF15,sF16)
| sF13 = sF16
| ~ in(sF15,sF13) ),
inference(superposition,[],[f51,f1816]) ).
fof(f1839,plain,
( sF13 = sF16
| ~ in(sF15,sF13) ),
inference(forward_subsumption_resolution,[],[f1836,f86]) ).
fof(f1840,plain,
~ in(sF15,sF13),
inference(forward_subsumption_resolution,[],[f1839,f82]) ).
fof(f1841,plain,
$false,
inference(forward_subsumption_resolution,[],[f1840,f341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET894+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 03:06:37 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.72/4.11 % (767929)Will run a generic schedule for satisfiability detection.
% 25.72/4.11 % (767939)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1125917812:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 25.72/4.11 % (767934)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2418945724_2999 on theBenchmark for (2999ds/0Mi)
% 25.72/4.11 % (767936)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3484619241:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 25.72/4.11 % (767937)dis+10_1_sil=32000:sp=arity:random_seed=742575372:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 25.72/4.11 % (767938)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1360830818:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 25.72/4.11 % (767940)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=201747995:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 25.72/4.11 % (767935)% WARNING: option uhcvi not known.
% 25.72/4.11 % TRYING [1]
% 25.72/4.11 % TRYING [2]
% 25.72/4.11 % TRYING [3]
% 25.72/4.11 % (767935)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3157486719:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 25.72/4.11 % TRYING [4]
% 25.72/4.11 % (767937)Instruction limit reached!
% 25.72/4.11 % (767937)------------------------------
% 25.72/4.11 % (767937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.72/4.11 % (767937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.72/4.11 % (767937)CaDiCaL version: 2.1.3
% 25.72/4.11 % (767937)Termination reason: Instruction limit
% 25.72/4.11 % (767937)Termination phase: Saturation
% 25.72/4.11 % (767937)Time elapsed: 0.057 s
% 25.72/4.11 % (767937)Peak memory usage: 12 MB
% 25.72/4.11 % (767937)Instructions burned: 103 (million)
% 25.72/4.11 % (767938)Instruction limit reached!
% 25.72/4.11 % (767938)------------------------------
% 25.72/4.11 % (767938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.72/4.11 % (767938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.72/4.11 % (767938)CaDiCaL version: 2.1.3
% 25.72/4.11 % (767938)Termination reason: Instruction limit
% 25.72/4.11 % (767938)Termination phase: Saturation
% 25.72/4.11 % (767938)Time elapsed: 0.066 s
% 25.72/4.11 % (767938)Peak memory usage: 12 MB
% 25.72/4.11 % (767938)Instructions burned: 117 (million)
% 25.72/4.11 % (767939)Instruction limit reached!
% 25.72/4.11 % (767939)------------------------------
% 25.72/4.11 % (767939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.72/4.11 % (767939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.72/4.11 % (767939)CaDiCaL version: 2.1.3
% 25.72/4.11 % (767939)Termination reason: Instruction limit
% 25.72/4.11 % (767939)Termination phase: Saturation
% 25.72/4.11 % (767939)Time elapsed: 0.073 s
% 25.72/4.11 % (767939)Peak memory usage: 12 MB
% 25.72/4.11 % (767939)Instructions burned: 133 (million)
% 25.72/4.11 % (767948)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1567196166:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 25.72/4.11 % TRYING [1]
% 25.72/4.11 % TRYING [2]
% 25.72/4.11 % TRYING [3]
% 25.72/4.11 % (767949)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2279429699:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 25.72/4.11 % TRYING [4]
% 25.72/4.11 % (767950)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1014650229:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 25.72/4.11 % (767940)Instruction limit reached!
% 25.72/4.11 % (767940)------------------------------
% 25.72/4.11 % (767940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.72/4.11 % (767940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.72/4.11 % (767940)CaDiCaL version: 2.1.3
% 25.72/4.11 % (767940)Termination reason: Instruction limit
% 25.72/4.11 % (767940)Termination phase: Saturation
% 25.72/4.11 % (767940)Time elapsed: 0.097 s
% 25.72/4.11 % (767940)Peak memory usage: 13 MB
% 25.72/4.11 % (767940)Instructions burned: 160 (million)
% 25.72/4.11 % (767954)ott-21_1_sil=16000:fs=off:random_seed=1266376385:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 25.72/4.11 % TRYING [5]
% 25.72/4.11 % (767949)Instruction limit reached!
% 25.72/4.11 % (767949)------------------------------
% 25.72/4.11 % (767949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.72/4.11 % (767949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767949)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767949)Termination reason: Instruction limit
% 21.57/5.05 % (767949)Termination phase: Saturation
% 21.57/5.05 % (767949)Time elapsed: 0.083 s
% 21.57/5.05 % (767949)Peak memory usage: 13 MB
% 21.57/5.05 % (767949)Instructions burned: 131 (million)
% 21.57/5.05 % TRYING [5]
% 21.57/5.05 % (767956)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=196594318:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 21.57/5.05 % (767954)Instruction limit reached!
% 21.57/5.05 % (767954)------------------------------
% 21.57/5.05 % (767954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767954)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767954)Termination reason: Instruction limit
% 21.57/5.05 % (767954)Termination phase: Saturation
% 21.57/5.05 % (767954)Time elapsed: 0.095 s
% 21.57/5.05 % (767954)Peak memory usage: 12 MB
% 21.57/5.05 % (767954)Instructions burned: 180 (million)
% 21.57/5.05 % (767958)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=89084226:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.57/5.05 % TRYING [1]
% 21.57/5.05 % TRYING [2]
% 21.57/5.05 % TRYING [3]
% 21.57/5.05 % TRYING [4]
% 21.57/5.05 % TRYING [5]
% 21.57/5.05 % (767950)Instruction limit reached!
% 21.57/5.05 % (767950)------------------------------
% 21.57/5.05 % (767950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767950)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767950)Termination reason: Instruction limit
% 21.57/5.05 % (767950)Termination phase: Saturation
% 21.57/5.05 % (767950)Time elapsed: 0.337 s
% 21.57/5.05 % (767950)Peak memory usage: 16 MB
% 21.57/5.05 % (767950)Instructions burned: 684 (million)
% 21.57/5.05 % (767960)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2699217314:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 21.57/5.05 % (767948)Instruction limit reached!
% 21.57/5.05 % (767948)------------------------------
% 21.57/5.05 % (767948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767948)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767948)Termination reason: Instruction limit
% 21.57/5.05 % (767948)Termination phase: Finite model building SAT solving
% 21.57/5.05 % (767948)Time elapsed: 0.391 s
% 21.57/5.05 % (767948)Peak memory usage: 24 MB
% 21.57/5.05 % (767948)Instructions burned: 715 (million)
% 21.57/5.05 % (767962)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4000902404:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 21.57/5.05 % (767956)Instruction limit reached!
% 21.57/5.05 % (767956)------------------------------
% 21.57/5.05 % (767956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767956)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767956)Termination reason: Instruction limit
% 21.57/5.05 % (767956)Termination phase: Saturation
% 21.57/5.05 % (767956)Time elapsed: 0.310 s
% 21.57/5.05 % (767956)Peak memory usage: 15 MB
% 21.57/5.05 % (767956)Instructions burned: 478 (million)
% 21.57/5.05 % (767964)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4218466057:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 21.57/5.05 % (767958)Instruction limit reached!
% 21.57/5.05 % (767958)------------------------------
% 21.57/5.05 % (767958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767958)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767958)Termination reason: Instruction limit
% 21.57/5.05 % (767958)Termination phase: Finite model building SAT solving
% 21.57/5.05 % (767958)Time elapsed: 0.327 s
% 21.57/5.05 % (767958)Peak memory usage: 32 MB
% 21.57/5.05 % (767958)Instructions burned: 874 (million)
% 21.57/5.05 % (767966)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1512063678:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 21.57/5.05 % TRYING [14]
% 21.57/5.05 % (767962)Instruction limit reached!
% 21.57/5.05 % (767962)------------------------------
% 21.57/5.05 % (767962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767962)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767962)Termination reason: Instruction limit
% 21.57/5.05 % (767962)Termination phase: Finite model building constraint generation
% 21.57/5.05 % (767962)Time elapsed: 0.351 s
% 21.57/5.05 % (767962)Peak memory usage: 85 MB
% 21.57/5.05 % (767962)Instructions burned: 889 (million)
% 21.57/5.05 % (767968)fmb+10_1_sil=64000:random_seed=3283002586:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 21.57/5.05 % TRYING [1]
% 21.57/5.05 % TRYING [2]
% 21.57/5.05 % TRYING [3]
% 21.57/5.05 % TRYING [4]
% 21.57/5.05 % TRYING [5]
% 21.57/5.05 % (767964)Instruction limit reached!
% 21.57/5.05 % (767964)------------------------------
% 21.57/5.05 % (767964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767964)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767964)Termination reason: Instruction limit
% 21.57/5.05 % (767964)Termination phase: Saturation
% 21.57/5.05 % (767964)Time elapsed: 0.431 s
% 21.57/5.05 % (767964)Peak memory usage: 17 MB
% 21.57/5.05 % (767964)Instructions burned: 693 (million)
% 21.57/5.05 % (767970)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3150494235:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 21.57/5.05 % TRYING [20]
% 21.57/5.05 % (767966)Instruction limit reached!
% 21.57/5.05 % (767966)------------------------------
% 21.57/5.05 % (767966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767966)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767966)Termination reason: Instruction limit
% 21.57/5.05 % (767966)Termination phase: Saturation
% 21.57/5.05 % (767966)Time elapsed: 0.509 s
% 21.57/5.05 % (767966)Peak memory usage: 18 MB
% 21.57/5.05 % (767966)Instructions burned: 879 (million)
% 21.57/5.05 % (767960)Instruction limit reached!
% 21.57/5.05 % (767960)------------------------------
% 21.57/5.05 % (767960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767960)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767960)Termination reason: Instruction limit
% 21.57/5.05 % (767960)Termination phase: Saturation
% 21.57/5.05 % (767960)Time elapsed: 0.647 s
% 21.57/5.05 % (767960)Peak memory usage: 19 MB
% 21.57/5.05 % (767960)Instructions burned: 1180 (million)
% 21.57/5.05 % (767972)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=23534277:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 21.57/5.05 % TRYING [8]
% 21.57/5.05 % (767973)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4067497530:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 21.57/5.05 % TRYING [6]
% 21.57/5.05 % TRYING [6]
% 21.57/5.05 % (767972)Instruction limit reached!
% 21.57/5.05 % (767972)------------------------------
% 21.57/5.05 % (767972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767972)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767972)Termination reason: Instruction limit
% 21.57/5.05 % (767972)Termination phase: Finite model building constraint generation
% 21.57/5.05 % (767972)Time elapsed: 0.295 s
% 21.57/5.05 % (767972)Peak memory usage: 54 MB
% 21.57/5.05 % (767972)Instructions burned: 921 (million)
% 21.57/5.05 % (767976)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1328089573:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 21.57/5.05 % (767976)Instruction limit reached!
% 21.57/5.05 % (767976)------------------------------
% 21.57/5.05 % (767976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767976)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767976)Termination reason: Instruction limit
% 21.57/5.05 % (767976)Termination phase: Saturation
% 21.57/5.05 % (767976)Time elapsed: 0.762 s
% 21.57/5.05 % (767976)Peak memory usage: 29 MB
% 21.57/5.05 % (767976)Instructions burned: 1472 (million)
% 21.57/5.05 % (767978)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4121892473:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 21.57/5.05 % TRYING [77]
% 21.57/5.05 % (767973)Instruction limit reached!
% 21.57/5.05 % (767973)------------------------------
% 21.57/5.05 % (767973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767973)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767973)Termination reason: Instruction limit
% 21.57/5.05 % (767973)Termination phase: Saturation
% 21.57/5.05 % (767973)Time elapsed: 2.552 s
% 21.57/5.05 % (767973)Peak memory usage: 33 MB
% 21.57/5.05 % (767973)Instructions burned: 5133 (million)
% 21.57/5.05 % (767980)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2810217425:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 21.57/5.05 % TRYING [16]
% 21.57/5.05 % (767970)Instruction limit reached!
% 21.57/5.05 % (767970)------------------------------
% 21.57/5.05 % (767970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767970)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767970)Termination reason: Instruction limit
% 21.57/5.05 % (767970)Termination phase: Finite model building constraint generation
% 21.57/5.05 % (767970)Time elapsed: 3.267 s
% 21.57/5.05 % (767970)Peak memory usage: 538 MB
% 21.57/5.05 % (767970)Instructions burned: 9517 (million)
% 21.57/5.05 % (767982)ott-2_1_sil=16000:newcnf=on:random_seed=1171382232:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 21.57/5.05 % (767980)Instruction limit reached!
% 21.57/5.05 % (767980)------------------------------
% 21.57/5.05 % (767980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767980)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767980)Termination reason: Instruction limit
% 21.57/5.05 % (767980)Termination phase: Finite model building constraint generation
% 21.57/5.05 % (767980)Time elapsed: 0.738 s
% 21.57/5.05 % (767980)Peak memory usage: 135 MB
% 21.57/5.05 % (767980)Instructions burned: 2177 (million)
% 21.57/5.05 % (767984)ott+10_1_sil=32000:tgt=ground:random_seed=4114480459:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 21.57/5.05 % (767984) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-767929-767984"...
% 21.57/5.05 % (767984)...printing done.
% 21.57/5.05 % (767984)Refutation found. Thanks to Tanya!
% 21.57/5.05 % SZS status Theorem for theBenchmark
% 21.57/5.05 % SZS output start Proof for theBenchmark
% See solution above
% 21.57/5.05 % (767984)------------------------------
% 21.57/5.05 % (767984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.57/5.05 % (767984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.57/5.05 % (767984)CaDiCaL version: 2.1.3
% 21.57/5.05 % (767984)Termination reason: Refutation
% 21.57/5.05 % (767984)Time elapsed: 0.077 s
% 21.57/5.05 % (767984)Peak memory usage: 13 MB
% 21.57/5.05 % (767984)Instructions burned: 133 (million)
% 21.57/5.05 % (767929)Success in time 4.642 s
% 21.57/5.05 % Vampire exiting
%------------------------------------------------------------------------------