%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU416+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:50 PM UTC 2026
% Result : Theorem 6.93s 1.74s
% Output : Refutation 8.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 212 ( 29 unt; 17 def)
% Number of atoms : 565 ( 83 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 602 ( 249 ~; 294 |; 39 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 143 ( 1 sgn 133 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] : k3_pua2mss1(k4_xboole_0(X0,X1)) = k4_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] : k3_pua2mss1(k4_xboole_0(X0,X1)) = k4_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f6,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f7,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f27,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f28,axiom,
! [X0,X1] :
( r2_hidden(X0,k3_pua2mss1(X1))
<=> ? [X2] :
( X0 = k1_tarski(X2)
& r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_relset_2) ).
fof(f37,axiom,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),k1_tarski(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(f40,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f27]) ).
fof(f43,plain,
? [X0,X1] : k3_pua2mss1(k4_xboole_0(X0,X1)) != k4_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(ennf_transformation,[],[f2]) ).
fof(f46,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f58,plain,
! [X0,X1] :
( X0 = X1
| ~ r1_tarski(k1_tarski(X0),k1_tarski(X1)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f61,plain,
k3_pua2mss1(k4_xboole_0(sK0,sK1)) != k4_xboole_0(k3_pua2mss1(sK0),k3_pua2mss1(sK1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f43]) ).
fof(f62,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f63,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f65,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK2(X0,X1),X1)
& r2_hidden(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK3(X0,X1,X2),X0)
| r2_hidden(sK3(X0,X1,X2),X1)
| ~ r2_hidden(sK3(X0,X1,X2),X2) )
& ( ( r2_hidden(sK3(X0,X1,X2),X0)
& ~ r2_hidden(sK3(X0,X1,X2),X1) )
| r2_hidden(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f69]) ).
fof(f78,plain,
! [X0,X1] :
( ( r2_hidden(X0,k3_pua2mss1(X1))
| ! [X2] :
( k1_tarski(X2) != X0
| ~ r2_hidden(X2,X1) ) )
& ( ? [X2] :
( X0 = k1_tarski(X2)
& r2_hidden(X2,X1) )
| ~ r2_hidden(X0,k3_pua2mss1(X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f79,plain,
! [X0,X1] :
( ( r2_hidden(X0,k3_pua2mss1(X1))
| ! [X2] :
( k1_tarski(X2) != X0
| ~ r2_hidden(X2,X1) ) )
& ( ? [X3] :
( k1_tarski(X3) = X0
& r2_hidden(X3,X1) )
| ~ r2_hidden(X0,k3_pua2mss1(X1)) ) ),
inference(rectify,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ( r2_hidden(X0,k3_pua2mss1(X1))
| ! [X2] :
( k1_tarski(X2) != X0
| ~ r2_hidden(X2,X1) ) )
& ( ( k1_tarski(sK11(X0,X1)) = X0
& r2_hidden(sK11(X0,X1),X1) )
| ~ r2_hidden(X0,k3_pua2mss1(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f79]) ).
fof(f82,plain,
k3_pua2mss1(k4_xboole_0(sK0,sK1)) != k4_xboole_0(k3_pua2mss1(sK0),k3_pua2mss1(sK1)),
inference(cnf_transformation,[],[f61]) ).
fof(f87,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X0,X1] :
( r2_hidden(sK2(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f90,plain,
! [X0,X1] :
( ~ r2_hidden(sK2(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f91,plain,
! [X2,X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f92,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f93,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f117,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f40]) ).
fof(f118,plain,
! [X0,X1] :
( r2_hidden(sK11(X0,X1),X1)
| ~ r2_hidden(X0,k3_pua2mss1(X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f119,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_pua2mss1(X1))
| k1_tarski(sK11(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f120,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k3_pua2mss1(X1))
| k1_tarski(X2) != X0
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f130,plain,
! [X0,X1] :
( ~ r1_tarski(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f135,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f93]) ).
fof(f136,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f92]) ).
fof(f137,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f91]) ).
fof(f138,plain,
! [X2,X1] :
( r2_hidden(k1_tarski(X2),k3_pua2mss1(X1))
| ~ r2_hidden(X2,X1) ),
inference(equality_resolution,[],[f120]) ).
fof(f139,definition,
sF12 = k4_xboole_0(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f140,plain,
k4_xboole_0(sK0,sK1) = sF12,
inference(reorient_equations,[],[f139]) ).
fof(f141,definition,
sF13 = k3_pua2mss1(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f142,plain,
k3_pua2mss1(sF12) = sF13,
inference(reorient_equations,[],[f141]) ).
fof(f143,definition,
sF14 = k3_pua2mss1(sK0),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f144,plain,
k3_pua2mss1(sK0) = sF14,
inference(reorient_equations,[],[f143]) ).
fof(f145,definition,
sF15 = k3_pua2mss1(sK1),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f146,plain,
k3_pua2mss1(sK1) = sF15,
inference(reorient_equations,[],[f145]) ).
fof(f147,definition,
sF16 = k4_xboole_0(sF14,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f148,plain,
k4_xboole_0(sF14,sF15) = sF16,
inference(reorient_equations,[],[f147]) ).
fof(f149,plain,
sF13 != sF16,
inference(definition_folding,[],[f82,f148,f146,f144,f142,f140]) ).
fof(f153,plain,
! [X0] :
( ~ r2_hidden(X0,sF16)
| ~ r2_hidden(X0,sF15) ),
inference(superposition,[],[f137,f148]) ).
fof(f154,plain,
! [X0] :
( ~ r2_hidden(X0,sF12)
| ~ r2_hidden(X0,sK1) ),
inference(superposition,[],[f137,f140]) ).
fof(f155,plain,
! [X0] :
( ~ r2_hidden(sK2(sF16,X0),sF15)
| r1_tarski(sF16,X0) ),
inference(resolution,[],[f153,f89]) ).
fof(f158,plain,
! [X0] :
( ~ r2_hidden(X0,sF16)
| r2_hidden(X0,sF14) ),
inference(superposition,[],[f136,f148]) ).
fof(f159,plain,
! [X0] :
( ~ r2_hidden(X0,sF12)
| r2_hidden(X0,sK0) ),
inference(superposition,[],[f136,f140]) ).
fof(f160,plain,
! [X0] :
( r2_hidden(sK2(sF16,X0),sF14)
| r1_tarski(sF16,X0) ),
inference(resolution,[],[f158,f89]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK2(X0,k4_xboole_0(X1,X2)),X1)
| r2_hidden(sK2(X0,k4_xboole_0(X1,X2)),X2)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(resolution,[],[f135,f90]) ).
fof(f167,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF16)
| r2_hidden(X0,sF15) ),
inference(superposition,[],[f135,f148]) ).
fof(f168,plain,
! [X0] :
( ~ r2_hidden(X0,sK0)
| r2_hidden(X0,sF12)
| r2_hidden(X0,sK1) ),
inference(superposition,[],[f135,f140]) ).
fof(f174,plain,
! [X0] :
( ~ r2_hidden(X0,k3_pua2mss1(sK0))
| r2_hidden(sK11(X0,sK0),sF12)
| r2_hidden(sK11(X0,sK0),sK1) ),
inference(resolution,[],[f118,f168]) ).
fof(f175,plain,
! [X0] :
( ~ r2_hidden(X0,k3_pua2mss1(sF12))
| r2_hidden(sK11(X0,sF12),sK0) ),
inference(resolution,[],[f118,f159]) ).
fof(f176,plain,
! [X0] :
( ~ r2_hidden(X0,k3_pua2mss1(sF12))
| ~ r2_hidden(sK11(X0,sF12),sK1) ),
inference(resolution,[],[f118,f154]) ).
fof(f180,plain,
! [X0] :
( ~ r2_hidden(sK11(X0,sF12),sK1)
| ~ r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f176,f142]) ).
fof(f181,plain,
! [X0] :
( r2_hidden(sK11(X0,sF12),sK0)
| ~ r2_hidden(X0,sF13) ),
inference(forward_demodulation,[],[f175,f142]) ).
fof(f182,plain,
! [X0] :
( r2_hidden(sK11(X0,sK0),sK1)
| r2_hidden(sK11(X0,sK0),sF12)
| ~ r2_hidden(X0,sF14) ),
inference(forward_demodulation,[],[f174,f144]) ).
fof(f185,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| k1_tarski(sK11(X0,sK0)) = X0 ),
inference(superposition,[],[f119,f144]) ).
fof(f186,plain,
! [X0] :
( ~ r2_hidden(X0,sF15)
| k1_tarski(sK11(X0,sK1)) = X0 ),
inference(superposition,[],[f119,f146]) ).
fof(f187,plain,
! [X0] :
( ~ r2_hidden(X0,sF13)
| k1_tarski(sK11(X0,sF12)) = X0 ),
inference(superposition,[],[f119,f142]) ).
fof(f193,plain,
! [X0] :
( r1_tarski(sF16,X0)
| sK2(sF16,X0) = k1_tarski(sK11(sK2(sF16,X0),sK0)) ),
inference(resolution,[],[f185,f160]) ).
fof(f196,plain,
! [X0] :
( ~ r1_tarski(X0,sF16)
| sK2(sF16,X0) = k1_tarski(sK11(sK2(sF16,X0),sK0))
| sF16 = X0 ),
inference(resolution,[],[f193,f87]) ).
fof(f197,plain,
! [X0] :
( r1_tarski(sF13,X0)
| sK2(sF13,X0) = k1_tarski(sK11(sK2(sF13,X0),sF12)) ),
inference(resolution,[],[f187,f89]) ).
fof(f202,plain,
! [X0] :
( r2_hidden(k1_tarski(X0),sF14)
| ~ r2_hidden(X0,sK0) ),
inference(superposition,[],[f138,f144]) ).
fof(f204,plain,
! [X0] :
( r2_hidden(k1_tarski(X0),sF13)
| ~ r2_hidden(X0,sF12) ),
inference(superposition,[],[f138,f142]) ).
fof(f209,plain,
! [X0] :
( r2_hidden(k1_tarski(X0),sF16)
| ~ r2_hidden(X0,sK0)
| r2_hidden(k1_tarski(X0),sF15) ),
inference(resolution,[],[f202,f167]) ).
fof(f217,plain,
! [X0] :
( ~ r1_tarski(X0,sF13)
| sK2(sF13,X0) = k1_tarski(sK11(sK2(sF13,X0),sF12))
| sF13 = X0 ),
inference(resolution,[],[f197,f87]) ).
fof(f248,plain,
( sK2(sF16,sF13) = k1_tarski(sK11(sK2(sF16,sF13),sK0))
| sF13 = sF16
| sK2(sF13,sF16) = k1_tarski(sK11(sK2(sF13,sF16),sF12)) ),
inference(resolution,[],[f196,f197]) ).
fof(f250,plain,
( sK2(sF16,sF13) = k1_tarski(sK11(sK2(sF16,sF13),sK0))
| sK2(sF13,sF16) = k1_tarski(sK11(sK2(sF13,sF16),sF12)) ),
inference(forward_subsumption_resolution,[],[f248,f149]) ).
fof(f252,definition,
( spl17_7
<=> sK2(sF13,sF16) = k1_tarski(sK11(sK2(sF13,sF16),sF12)) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f253,plain,
( sK2(sF13,sF16) != k1_tarski(sK11(sK2(sF13,sF16),sF12))
| spl17_7 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f254,plain,
( sK2(sF13,sF16) = k1_tarski(sK11(sK2(sF13,sF16),sF12))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl17_8
<=> sK2(sF16,sF13) = k1_tarski(sK11(sK2(sF16,sF13),sK0)) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f257,plain,
( sK2(sF16,sF13) != k1_tarski(sK11(sK2(sF16,sF13),sK0))
| spl17_8 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( sK2(sF16,sF13) = k1_tarski(sK11(sK2(sF16,sF13),sK0))
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,plain,
( spl17_7
| spl17_8 ),
inference(avatar_split_clause,[],[f250,f256,f252]) ).
fof(f261,plain,
( r2_hidden(sK2(sF13,sF16),sF16)
| ~ r2_hidden(sK11(sK2(sF13,sF16),sF12),sK0)
| r2_hidden(sK2(sF13,sF16),sF15)
| ~ spl17_7 ),
inference(superposition,[],[f209,f254]) ).
fof(f264,plain,
( ! [X0] :
( ~ r2_hidden(sK11(sK2(sF13,sF16),sF12),X0)
| r2_hidden(sK2(sF13,sF16),k3_pua2mss1(X0)) )
| ~ spl17_7 ),
inference(superposition,[],[f138,f254]) ).
fof(f270,definition,
( spl17_10
<=> r2_hidden(sK2(sF13,sF16),sF13) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f271,plain,
( ~ r2_hidden(sK2(sF13,sF16),sF13)
| spl17_10 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( r2_hidden(sK2(sF13,sF16),sF13)
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f275,definition,
( spl17_11
<=> r2_hidden(sK11(sK2(sF13,sF16),sF12),sK0) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f277,plain,
( ~ r2_hidden(sK11(sK2(sF13,sF16),sF12),sK0)
| spl17_11 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f279,definition,
( spl17_12
<=> r2_hidden(sK2(sF13,sF16),sF14) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f281,plain,
( r2_hidden(sK2(sF13,sF16),sF14)
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f284,definition,
( spl17_13
<=> r2_hidden(sK2(sF13,sF16),sF15) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f286,plain,
( r2_hidden(sK2(sF13,sF16),sF15)
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,definition,
( spl17_14
<=> r2_hidden(sK2(sF13,sF16),sF16) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f290,plain,
( r2_hidden(sK2(sF13,sF16),sF16)
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f291,plain,
( spl17_13
| ~ spl17_11
| spl17_14
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f261,f252,f288,f275,f284]) ).
fof(f293,definition,
( spl17_15
<=> r2_hidden(sK11(sK2(sF13,sF16),sF12),sK1) ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
fof(f294,plain,
( r2_hidden(sK11(sK2(sF13,sF16),sF12),sK1)
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f295,plain,
( ~ r2_hidden(sK11(sK2(sF13,sF16),sF12),sK1)
| spl17_15 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f298,plain,
( r2_hidden(sK2(sF13,sF16),k3_pua2mss1(sK0))
| ~ r2_hidden(sK2(sF13,sF16),sF13)
| ~ spl17_7 ),
inference(resolution,[],[f264,f181]) ).
fof(f302,plain,
( r2_hidden(sK2(sF13,sF16),sF14)
| ~ r2_hidden(sK2(sF13,sF16),sF13)
| ~ spl17_7 ),
inference(forward_demodulation,[],[f298,f144]) ).
fof(f303,plain,
( ~ spl17_10
| spl17_12
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f302,f252,f279,f270]) ).
fof(f304,plain,
( r1_tarski(sF13,sF16)
| spl17_10 ),
inference(resolution,[],[f271,f89]) ).
fof(f305,plain,
( sK2(sF16,sF13) = k1_tarski(sK11(sK2(sF16,sF13),sK0))
| sF13 = sF16
| spl17_10 ),
inference(resolution,[],[f304,f196]) ).
fof(f307,plain,
( ~ r1_tarski(sF16,sF13)
| sF13 = sF16
| spl17_10 ),
inference(resolution,[],[f304,f87]) ).
fof(f308,plain,
( ~ r1_tarski(sF16,sF13)
| spl17_10 ),
inference(forward_subsumption_resolution,[],[f307,f149]) ).
fof(f309,plain,
( sK2(sF16,sF13) = k1_tarski(sK11(sK2(sF16,sF13),sK0))
| spl17_10 ),
inference(forward_subsumption_resolution,[],[f305,f149]) ).
fof(f310,plain,
( spl17_8
| spl17_10 ),
inference(avatar_split_clause,[],[f309,f270,f256]) ).
fof(f314,plain,
( r2_hidden(sK2(sF16,sF13),sF13)
| ~ r2_hidden(sK11(sK2(sF16,sF13),sK0),sF12)
| ~ spl17_8 ),
inference(superposition,[],[f204,f258]) ).
fof(f315,plain,
( ! [X0] :
( ~ r2_hidden(sK11(sK2(sF16,sF13),sK0),X0)
| r2_hidden(sK2(sF16,sF13),k3_pua2mss1(X0)) )
| ~ spl17_8 ),
inference(superposition,[],[f138,f258]) ).
fof(f317,definition,
( spl17_16
<=> r2_hidden(sK11(sK2(sF16,sF13),sK0),sF12) ),
introduced(definition,[new_symbols(definition,[spl17_16])],[avatar_definition]) ).
fof(f319,plain,
( ~ r2_hidden(sK11(sK2(sF16,sF13),sK0),sF12)
| spl17_16 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f321,definition,
( spl17_17
<=> r2_hidden(sK2(sF16,sF13),sF13) ),
introduced(definition,[new_symbols(definition,[spl17_17])],[avatar_definition]) ).
fof(f323,plain,
( r2_hidden(sK2(sF16,sF13),sF13)
| ~ spl17_17 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f324,plain,
( ~ spl17_16
| spl17_17
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f314,f256,f321,f317]) ).
fof(f330,definition,
( spl17_19
<=> r2_hidden(sK2(sF16,sF13),sF14) ),
introduced(definition,[new_symbols(definition,[spl17_19])],[avatar_definition]) ).
fof(f331,plain,
( ~ r2_hidden(sK2(sF16,sF13),sF14)
| spl17_19 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( r2_hidden(sK2(sF16,sF13),sF14)
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f335,definition,
( spl17_20
<=> r2_hidden(sK2(sF16,sF13),sF15) ),
introduced(definition,[new_symbols(definition,[spl17_20])],[avatar_definition]) ).
fof(f337,plain,
( r2_hidden(sK2(sF16,sF13),sF15)
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f349,plain,
( r2_hidden(sK2(sF16,sF13),k3_pua2mss1(sK1))
| r2_hidden(sK11(sK2(sF16,sF13),sK0),sF12)
| ~ r2_hidden(sK2(sF16,sF13),sF14)
| ~ spl17_8 ),
inference(resolution,[],[f315,f182]) ).
fof(f354,plain,
( r1_tarski(sF16,sF13)
| spl17_19 ),
inference(resolution,[],[f331,f160]) ).
fof(f355,plain,
( $false
| spl17_10
| spl17_19 ),
inference(forward_subsumption_resolution,[],[f354,f308]) ).
fof(f356,plain,
( spl17_10
| spl17_19 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f359,plain,
( r2_hidden(sK2(sF13,sF16),sF16)
| r2_hidden(sK2(sF13,sF16),sF15)
| ~ spl17_12 ),
inference(resolution,[],[f281,f167]) ).
fof(f360,plain,
( spl17_13
| spl17_14
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f359,f279,f288,f284]) ).
fof(f373,plain,
( ~ r1_tarski(sF13,sF16)
| sF13 = sF16
| spl17_19 ),
inference(resolution,[],[f354,f87]) ).
fof(f374,plain,
( ~ r1_tarski(sF13,sF16)
| spl17_19 ),
inference(forward_subsumption_resolution,[],[f373,f149]) ).
fof(f386,plain,
( ~ r2_hidden(sK2(sF13,sF16),sF13)
| spl17_11 ),
inference(resolution,[],[f277,f181]) ).
fof(f387,plain,
( $false
| ~ spl17_10
| spl17_11 ),
inference(forward_subsumption_resolution,[],[f386,f272]) ).
fof(f388,plain,
( ~ spl17_10
| spl17_11 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f395,plain,
( ~ r2_hidden(sK2(sF13,sF16),sF13)
| ~ spl17_15 ),
inference(resolution,[],[f294,f180]) ).
fof(f398,plain,
( $false
| ~ spl17_10
| ~ spl17_15 ),
inference(forward_subsumption_resolution,[],[f395,f272]) ).
fof(f399,plain,
( ~ spl17_10
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f404,plain,
( r1_tarski(sF16,sF13)
| ~ spl17_17 ),
inference(resolution,[],[f323,f90]) ).
fof(f406,plain,
( $false
| spl17_10
| ~ spl17_17 ),
inference(forward_subsumption_resolution,[],[f404,f308]) ).
fof(f407,plain,
( spl17_10
| ~ spl17_17 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f409,plain,
( r2_hidden(sK2(sF16,sF13),k3_pua2mss1(sK1))
| ~ r2_hidden(sK2(sF16,sF13),sF14)
| ~ spl17_8
| spl17_16 ),
inference(forward_subsumption_resolution,[],[f349,f319]) ).
fof(f412,plain,
( r2_hidden(sK2(sF16,sF13),k3_pua2mss1(sK1))
| ~ spl17_8
| spl17_16
| ~ spl17_19 ),
inference(forward_subsumption_resolution,[],[f409,f332]) ).
fof(f413,plain,
( r2_hidden(sK2(sF16,sF13),sF15)
| ~ spl17_8
| spl17_16
| ~ spl17_19 ),
inference(forward_demodulation,[],[f412,f146]) ).
fof(f415,plain,
( r1_tarski(sF16,sF13)
| ~ spl17_20 ),
inference(resolution,[],[f337,f155]) ).
fof(f417,plain,
( $false
| spl17_10
| ~ spl17_20 ),
inference(forward_subsumption_resolution,[],[f415,f308]) ).
fof(f418,plain,
( spl17_10
| ~ spl17_20 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f420,plain,
( sK2(sF13,sF16) = k1_tarski(sK11(sK2(sF13,sF16),sF12))
| ~ spl17_10 ),
inference(resolution,[],[f272,f187]) ).
fof(f435,plain,
( sK2(sF13,sF16) = k1_tarski(sK11(sK2(sF13,sF16),sF12))
| sF13 = sF16
| spl17_19 ),
inference(resolution,[],[f217,f354]) ).
fof(f472,plain,
! [X0] :
( ~ r2_hidden(sK2(X0,sF16),sF14)
| r2_hidden(sK2(X0,sF16),sF15)
| r1_tarski(X0,sF16) ),
inference(superposition,[],[f164,f148]) ).
fof(f477,plain,
( r2_hidden(sK2(sF13,sF16),sF15)
| r1_tarski(sF13,sF16)
| ~ spl17_12 ),
inference(resolution,[],[f472,f281]) ).
fof(f638,plain,
( r2_hidden(sK2(sF13,sF16),sF15)
| ~ spl17_12
| spl17_19 ),
inference(forward_subsumption_resolution,[],[f477,f374]) ).
fof(f663,plain,
( $false
| spl17_7
| ~ spl17_10 ),
inference(forward_subsumption_resolution,[],[f420,f253]) ).
fof(f664,plain,
( spl17_7
| ~ spl17_10 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f667,plain,
( sF13 = sF16
| spl17_7
| spl17_19 ),
inference(forward_subsumption_resolution,[],[f435,f253]) ).
fof(f668,plain,
( $false
| spl17_7
| spl17_19 ),
inference(forward_subsumption_resolution,[],[f667,f149]) ).
fof(f669,plain,
( spl17_7
| spl17_19 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f672,plain,
( spl17_13
| ~ spl17_12
| spl17_19 ),
inference(avatar_split_clause,[],[f638,f330,f279,f284]) ).
fof(f673,plain,
( r1_tarski(sF13,sF16)
| ~ spl17_14 ),
inference(resolution,[],[f290,f90]) ).
fof(f680,plain,
( $false
| ~ spl17_14
| spl17_19 ),
inference(forward_subsumption_resolution,[],[f673,f374]) ).
fof(f681,plain,
( ~ spl17_14
| spl17_19 ),
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f682,plain,
( sK2(sF13,sF16) = k1_tarski(sK11(sK2(sF13,sF16),sK1))
| ~ spl17_13 ),
inference(resolution,[],[f286,f186]) ).
fof(f686,plain,
( ! [X0] :
( ~ r1_tarski(sK2(sF13,sF16),k1_tarski(X0))
| sK11(sK2(sF13,sF16),sF12) = X0 )
| ~ spl17_7 ),
inference(superposition,[],[f130,f254]) ).
fof(f743,plain,
( ~ r1_tarski(sK2(sF13,sF16),sK2(sF13,sF16))
| sK11(sK2(sF13,sF16),sF12) = sK11(sK2(sF13,sF16),sK1)
| ~ spl17_7
| ~ spl17_13 ),
inference(superposition,[],[f686,f682]) ).
fof(f744,plain,
( sK11(sK2(sF13,sF16),sF12) = sK11(sK2(sF13,sF16),sK1)
| ~ spl17_7
| ~ spl17_13 ),
inference(forward_subsumption_resolution,[],[f743,f117]) ).
fof(f781,plain,
( r2_hidden(sK11(sK2(sF13,sF16),sF12),sK1)
| ~ r2_hidden(sK2(sF13,sF16),k3_pua2mss1(sK1))
| ~ spl17_7
| ~ spl17_13 ),
inference(superposition,[],[f118,f744]) ).
fof(f782,plain,
( ~ r2_hidden(sK2(sF13,sF16),k3_pua2mss1(sK1))
| ~ spl17_7
| ~ spl17_13
| spl17_15 ),
inference(forward_subsumption_resolution,[],[f781,f295]) ).
fof(f783,plain,
( ~ r2_hidden(sK2(sF13,sF16),sF15)
| ~ spl17_7
| ~ spl17_13
| spl17_15 ),
inference(forward_demodulation,[],[f782,f146]) ).
fof(f784,plain,
( $false
| ~ spl17_7
| ~ spl17_13
| spl17_15 ),
inference(forward_subsumption_resolution,[],[f783,f286]) ).
fof(f785,plain,
( ~ spl17_7
| ~ spl17_13
| spl17_15 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f794,plain,
( sK2(sF16,sF13) = k1_tarski(sK11(sK2(sF16,sF13),sK0))
| ~ spl17_19 ),
inference(resolution,[],[f332,f185]) ).
fof(f797,plain,
( $false
| spl17_8
| ~ spl17_19 ),
inference(forward_subsumption_resolution,[],[f794,f257]) ).
fof(f798,plain,
( spl17_8
| ~ spl17_19 ),
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f816,plain,
( ~ r1_tarski(sF16,sF13)
| sF13 = sF16
| ~ spl17_14 ),
inference(resolution,[],[f673,f87]) ).
fof(f817,plain,
( sF13 = sF16
| ~ spl17_14
| ~ spl17_17 ),
inference(forward_subsumption_resolution,[],[f816,f404]) ).
fof(f818,plain,
( $false
| ~ spl17_14
| ~ spl17_17 ),
inference(forward_subsumption_resolution,[],[f817,f149]) ).
fof(f819,plain,
( ~ spl17_14
| ~ spl17_17 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f821,plain,
( spl17_20
| ~ spl17_8
| spl17_16
| ~ spl17_19 ),
inference(avatar_split_clause,[],[f413,f330,f317,f256,f335]) ).
fof(f822,plain,
( sF13 = sF16
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_subsumption_resolution,[],[f816,f415]) ).
fof(f823,plain,
( $false
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_subsumption_resolution,[],[f822,f149]) ).
fof(f824,plain,
( ~ spl17_14
| ~ spl17_20 ),
inference(avatar_contradiction_clause,[],[f823]) ).
cnf(s3,plain,
( spl17_7
| spl17_8 ),
inference(sat_conversion,[],[f259]) ).
cnf(s6,plain,
( ~ spl17_7
| ~ spl17_11
| spl17_13
| spl17_14 ),
inference(sat_conversion,[],[f291]) ).
cnf(s8,plain,
( ~ spl17_7
| ~ spl17_10
| spl17_12 ),
inference(sat_conversion,[],[f303]) ).
cnf(s9,plain,
( spl17_8
| spl17_10 ),
inference(sat_conversion,[],[f310]) ).
cnf(s10,plain,
( ~ spl17_8
| ~ spl17_16
| spl17_17 ),
inference(sat_conversion,[],[f324]) ).
cnf(s15,plain,
( spl17_10
| spl17_19 ),
inference(sat_conversion,[],[f356]) ).
cnf(s16,plain,
( ~ spl17_12
| spl17_13
| spl17_14 ),
inference(sat_conversion,[],[f360]) ).
cnf(s17,plain,
( ~ spl17_10
| spl17_11 ),
inference(sat_conversion,[],[f388]) ).
cnf(s19,plain,
( ~ spl17_10
| ~ spl17_15 ),
inference(sat_conversion,[],[f399]) ).
cnf(s21,plain,
( spl17_10
| ~ spl17_17 ),
inference(sat_conversion,[],[f407]) ).
cnf(s23,plain,
( spl17_10
| ~ spl17_20 ),
inference(sat_conversion,[],[f418]) ).
cnf(s32,plain,
( spl17_7
| ~ spl17_10 ),
inference(sat_conversion,[],[f664]) ).
cnf(s34,plain,
( spl17_7
| spl17_19 ),
inference(sat_conversion,[],[f669]) ).
cnf(s37,plain,
( ~ spl17_12
| spl17_13
| spl17_19 ),
inference(sat_conversion,[],[f672]) ).
cnf(s39,plain,
( ~ spl17_14
| spl17_19 ),
inference(sat_conversion,[],[f681]) ).
cnf(s44,plain,
( ~ spl17_7
| ~ spl17_13
| spl17_15 ),
inference(sat_conversion,[],[f785]) ).
cnf(s46,plain,
( spl17_8
| ~ spl17_19 ),
inference(sat_conversion,[],[f798]) ).
cnf(s48,plain,
( ~ spl17_14
| ~ spl17_17 ),
inference(sat_conversion,[],[f819]) ).
cnf(s49,plain,
( ~ spl17_8
| spl17_16
| ~ spl17_19
| spl17_20 ),
inference(sat_conversion,[],[f821]) ).
cnf(s50,plain,
( ~ spl17_14
| ~ spl17_20 ),
inference(sat_conversion,[],[f824]) ).
cnf(s51,plain,
spl17_7,
inference(rat,[],[s10,s49,s21,s23,s3,s32,s34]) ).
cnf(s52,plain,
( spl17_10
| ~ spl17_8 ),
inference(rat,[],[s10,s49,s15,s21,s23]) ).
cnf(s53,plain,
~ spl17_8,
inference(rat,[],[s10,s49,s48,s50,s16,s37,s44,s8,s19,s52,s51]) ).
cnf(s54,plain,
~ spl17_19,
inference(rat,[],[s46,s53]) ).
cnf(s55,plain,
spl17_10,
inference(rat,[],[s9,s53]) ).
cnf(s56,plain,
~ spl17_14,
inference(rat,[],[s39,s54]) ).
cnf(s57,plain,
~ spl17_15,
inference(rat,[],[s19,s55]) ).
cnf(s58,plain,
spl17_11,
inference(rat,[],[s17,s55]) ).
cnf(s60,plain,
spl17_13,
inference(rat,[],[s6,s58,s51,s56]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s44,s51,s57,s60]) ).
fof(f825,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU416+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 05:19:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.93/1.74 % (2276287)Detected formulas, will run a generic FOF schedule.
% 6.93/1.74 % (2276297)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2917522669:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.93/1.74 % (2276294)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=3240309462:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.93/1.74 % (2276295)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3217022515:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.93/1.74 % (2276296)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1199256283:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.93/1.74 % (2276293)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=1593741706:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.93/1.74 % (2276292)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=2998604597:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.93/1.74 % (2276298)dis-21_1_sil=8000:lcm=predicate:random_seed=75646359: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)
% 6.93/1.74 % (2276295)Refutation not found, incomplete strategy
% 6.93/1.74 % (2276295)------------------------------
% 6.93/1.74 % (2276295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276295)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276295)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.74 % (2276295)Time elapsed: 0.001 s
% 6.93/1.74 % (2276295)Peak memory usage: 88 MB
% 6.93/1.74 % (2276295)Instructions burned: 1 (million)
% 6.93/1.74 % (2276297)Instruction limit reached!
% 6.93/1.74 % (2276297)------------------------------
% 6.93/1.74 % (2276297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276297)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276297)Termination reason: Instruction limit
% 6.93/1.74 % (2276297)Termination phase: Saturation
% 6.93/1.74 % (2276297)Time elapsed: 0.053 s
% 6.93/1.74 % (2276297)Peak memory usage: 89 MB
% 6.93/1.74 % (2276297)Instructions burned: 140 (million)
% 6.93/1.74 % (2276296)Instruction limit reached!
% 6.93/1.74 % (2276296)------------------------------
% 6.93/1.74 % (2276296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276296)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276296)Termination reason: Instruction limit
% 6.93/1.74 % (2276296)Termination phase: Saturation
% 6.93/1.74 % (2276296)Time elapsed: 0.074 s
% 6.93/1.74 % (2276296)Peak memory usage: 88 MB
% 6.93/1.74 % (2276296)Instructions burned: 120 (million)
% 6.93/1.74 % (2276298)Instruction limit reached!
% 6.93/1.74 % (2276298)------------------------------
% 6.93/1.74 % (2276298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276298)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276298)Termination reason: Instruction limit
% 6.93/1.74 % (2276298)Termination phase: Saturation
% 6.93/1.74 % (2276298)Time elapsed: 0.079 s
% 6.93/1.74 % (2276298)Peak memory usage: 89 MB
% 6.93/1.74 % (2276298)Instructions burned: 130 (million)
% 6.93/1.74 % (2276306)lrs+10_1_sil=8000:sp=occurrence:random_seed=2685739853:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.93/1.74 % (2276307)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4282710155:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.93/1.74 % (2276308)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2970113155:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.93/1.74 % (2276307)Refutation not found, incomplete strategy
% 6.93/1.74 % (2276307)------------------------------
% 6.93/1.74 % (2276307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276307)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276307)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.74 % (2276307)Time elapsed: 0.002 s
% 6.93/1.74 % (2276307)Peak memory usage: 88 MB
% 6.93/1.74 % (2276307)Instructions burned: 1 (million)
% 6.93/1.74 % (2276295)------------------------------
% 6.93/1.74 % (2276295)------------------------------
% 6.93/1.74 % (2276306)Instruction limit reached!
% 6.93/1.74 % (2276306)------------------------------
% 6.93/1.74 % (2276306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276306)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276306)Termination reason: Instruction limit
% 6.93/1.74 % (2276306)Termination phase: Saturation
% 6.93/1.74 % (2276306)Time elapsed: 0.095 s
% 6.93/1.74 % (2276306)Peak memory usage: 91 MB
% 6.93/1.74 % (2276306)Instructions burned: 288 (million)
% 6.93/1.74 % (2276313)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2804563184:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.93/1.74 % (2276313)Refutation not found, incomplete strategy
% 6.93/1.74 % (2276313)------------------------------
% 6.93/1.74 % (2276313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276313)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276313)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.74 % (2276313)Time elapsed: 0.001 s
% 6.93/1.74 % (2276313)Peak memory usage: 88 MB
% 6.93/1.74 % (2276313)Instructions burned: 1 (million)
% 6.93/1.74 % (2276312)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=208964593:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.93/1.74 % (2276308)Instruction limit reached!
% 6.93/1.74 % (2276308)------------------------------
% 6.93/1.74 % (2276308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276308)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276308)Termination reason: Instruction limit
% 6.93/1.74 % (2276308)Termination phase: Saturation
% 6.93/1.74 % (2276308)Time elapsed: 0.208 s
% 6.93/1.74 % (2276308)Peak memory usage: 90 MB
% 6.93/1.74 % (2276308)Instructions burned: 326 (million)
% 6.93/1.74 % (2276307)------------------------------
% 6.93/1.74 % (2276307)------------------------------
% 6.93/1.74 % (2276312)Instruction limit reached!
% 6.93/1.74 % (2276312)------------------------------
% 6.93/1.74 % (2276312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276312)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276312)Termination reason: Instruction limit
% 6.93/1.74 % (2276312)Termination phase: Saturation
% 6.93/1.74 % (2276312)Time elapsed: 0.135 s
% 6.93/1.74 % (2276312)Peak memory usage: 95 MB
% 6.93/1.74 % (2276312)Instructions burned: 248 (million)
% 6.93/1.74 % (2276313)------------------------------
% 6.93/1.74 % (2276313)------------------------------
% 6.93/1.74 % (2276316)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2097850637:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.93/1.74 % (2276317)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3231829105:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.93/1.74 % (2276319)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=78781051:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.93/1.74 % (2276318)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3431611230:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.93/1.74 % (2276318)Refutation not found, incomplete strategy
% 6.93/1.74 % (2276318)------------------------------
% 6.93/1.74 % (2276318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276318)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276318)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.74 % (2276318)Time elapsed: 0.001 s
% 6.93/1.74 % (2276318)Peak memory usage: 88 MB
% 6.93/1.74 % (2276318)Instructions burned: 1 (million)
% 6.93/1.74 % (2276319)Instruction limit reached!
% 6.93/1.74 % (2276319)------------------------------
% 6.93/1.74 % (2276319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276319)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276319)Termination reason: Instruction limit
% 6.93/1.74 % (2276319)Termination phase: Saturation
% 6.93/1.74 % (2276319)Time elapsed: 0.035 s
% 6.93/1.74 % (2276319)Peak memory usage: 89 MB
% 6.93/1.74 % (2276319)Instructions burned: 117 (million)
% 6.93/1.74 % (2276292)First to succeed.
% 6.93/1.74 % (2276292)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2276287"
% 6.93/1.74 % (2276317)Instruction limit reached!
% 6.93/1.74 % (2276317)------------------------------
% 6.93/1.74 % (2276317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276317)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276317)Termination reason: Instruction limit
% 6.93/1.74 % (2276317)Termination phase: Saturation
% 6.93/1.74 % (2276317)Time elapsed: 0.079 s
% 6.93/1.74 % (2276317)Peak memory usage: 89 MB
% 6.93/1.74 % (2276317)Instructions burned: 113 (million)
% 6.93/1.74 % (2276324)lrs+10_1_sil=8000:sp=occurrence:random_seed=4123488271:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.93/1.74 % (2276318)------------------------------
% 6.93/1.74 % (2276318)------------------------------
% 6.93/1.74 % (2276325)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1113785914:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.93/1.74 % (2276325)Refutation not found, incomplete strategy
% 6.93/1.74 % (2276325)------------------------------
% 6.93/1.74 % (2276325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.74 % (2276325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.74 % (2276325)CaDiCaL version: 2.1.3
% 6.93/1.74 % (2276325)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.74 % (2276325)Time elapsed: 0.002 s
% 6.93/1.74 % (2276325)Peak memory usage: 88 MB
% 6.93/1.74 % (2276325)Instructions burned: 2 (million)
% 6.93/1.74 % (2276292)Refutation found. Thanks to Tanya!
% 6.93/1.74 % SZS status Theorem for theBenchmark
% 6.93/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 8.36/1.94 % (2276292)------------------------------
% 8.36/1.94 % (2276292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/1.94 % (2276292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.94 % (2276292)CaDiCaL version: 2.1.3
% 8.36/1.94 % (2276292)Termination reason: Refutation
% 8.36/1.94 % (2276292)Time elapsed: 0.709 s
% 8.36/1.94 % (2276292)Peak memory usage: 129 MB
% 8.36/1.94 % (2276292)Instructions burned: 1041 (million)
% 8.36/1.94 % (2276292)------------------------------
% 8.36/1.94 % (2276292)------------------------------
% 8.36/1.94 % (2276287)Success in time 1.125 s
% 8.36/1.94 % Vampire exiting
%------------------------------------------------------------------------------