%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU416+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 29.71s 5.20s
% Output : Refutation 30.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 50
% Syntax : Number of formulae : 313 ( 42 unt; 31 def)
% Number of atoms : 850 ( 172 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 966 ( 429 ~; 441 |; 50 &)
% ( 42 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 36 ( 34 usr; 32 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 267 ( 0 sgn 255 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f32,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/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f62,axiom,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(f106,axiom,
! [X0,X1] :
( k4_xboole_0(X0,X1) = k1_xboole_0
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f110,axiom,
! [X0,X1,X2] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f122,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_xboole_1) ).
fof(f123,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k3_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_xboole_1) ).
fof(f180,axiom,
! [X0,X1,X2] : k4_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X2,X1)) = k3_xboole_0(k4_xboole_0(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t111_xboole_1) ).
fof(f208,axiom,
! [X0,X1] :
( k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k1_tarski(X0)
<=> X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_zfmisc_1) ).
fof(f225,axiom,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),X1)
<=> r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f227,axiom,
! [X0,X1] :
( r1_tarski(X0,k1_tarski(X1))
<=> ( X0 = k1_xboole_0
| X0 = k1_tarski(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f240,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> k3_xboole_0(X1,k1_tarski(X0)) = k1_tarski(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_zfmisc_1) ).
fof(f253,axiom,
! [X0,X1] :
( k4_xboole_0(X0,k1_tarski(X1)) = X0
<=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f256,axiom,
! [X0,X1] :
( k4_xboole_0(k1_tarski(X0),X1) = k1_xboole_0
<=> r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_zfmisc_1) ).
fof(f355,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ~ ( X1 != k1_xboole_0
& ! [X2] :
( m1_subset_1(X2,X0)
=> ~ r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_subset_1) ).
fof(f409,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_subset_1) ).
fof(f4469,axiom,
! [X0,X1] :
( r2_hidden(X0,k3_pua2mss1(X1))
<=> ? [X2] :
( X0 = k1_tarski(X2)
& r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_relset_2) ).
fof(f4473,conjecture,
! [X0,X1] : k3_pua2mss1(k4_xboole_0(X0,X1)) = k4_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_relset_2) ).
fof(f4474,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)],[f4473]) ).
fof(f4505,plain,
? [X0,X1] : k3_pua2mss1(k4_xboole_0(X0,X1)) != k4_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(ennf_transformation,[],[f4474]) ).
fof(f4520,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f355]) ).
fof(f4521,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4520]) ).
fof(f4540,plain,
! [X0,X1] :
( k3_xboole_0(X1,k1_tarski(X0)) = k1_tarski(X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f240]) ).
fof(f4717,plain,
! [X0,X1] :
( m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f409]) ).
fof(f4801,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,[],[f4469]) ).
fof(f4802,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,[],[f4801]) ).
fof(f4803,plain,
! [X0,X1] :
( ( r2_hidden(X0,k3_pua2mss1(X1))
| ! [X2] :
( k1_tarski(X2) != X0
| ~ r2_hidden(X2,X1) ) )
& ( ( k1_tarski(sK0(X0,X1)) = X0
& r2_hidden(sK0(X0,X1),X1) )
| ~ r2_hidden(X0,k3_pua2mss1(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f4802]) ).
fof(f4805,plain,
k3_pua2mss1(k4_xboole_0(sK1,sK2)) != k4_xboole_0(k3_pua2mss1(sK1),k3_pua2mss1(sK2)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f4505]) ).
fof(f4815,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ( r2_hidden(sK9(X0,X1),X1)
& m1_subset_1(sK9(X0,X1),X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f4521]) ).
fof(f4865,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_xboole_0 != X0
& k1_tarski(X1) != X0 ) )
& ( X0 = k1_xboole_0
| X0 = k1_tarski(X1)
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f4866,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_xboole_0 != X0
& k1_tarski(X1) != X0 ) )
& ( X0 = k1_xboole_0
| X0 = k1_tarski(X1)
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(flattening,[],[f4865]) ).
fof(f4867,plain,
! [X0,X1] :
( ( r1_tarski(k1_tarski(X0),X1)
| ~ r2_hidden(X0,X1) )
& ( r2_hidden(X0,X1)
| ~ r1_tarski(k1_tarski(X0),X1) ) ),
inference(nnf_transformation,[],[f225]) ).
fof(f4868,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4869,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f4868]) ).
fof(f4870,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK47(X0,X1) != X0
| ~ r2_hidden(sK47(X0,X1),X1) )
& ( sK47(X0,X1) = X0
| r2_hidden(sK47(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X2,sK47(X0,X1))],[f4869]) ).
fof(f4887,plain,
! [X0,X1] :
( ( k4_xboole_0(k1_tarski(X0),X1) = k1_xboole_0
| ~ r2_hidden(X0,X1) )
& ( r2_hidden(X0,X1)
| k1_xboole_0 != k4_xboole_0(k1_tarski(X0),X1) ) ),
inference(nnf_transformation,[],[f256]) ).
fof(f4889,plain,
! [X0,X1] :
( ( k4_xboole_0(X0,k1_tarski(X1)) = X0
| r2_hidden(X1,X0) )
& ( ~ r2_hidden(X1,X0)
| k4_xboole_0(X0,k1_tarski(X1)) != X0 ) ),
inference(nnf_transformation,[],[f253]) ).
fof(f4892,plain,
! [X0,X1] :
( ( k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k1_tarski(X0)
| X0 = X1 )
& ( X0 != X1
| k1_tarski(X0) != k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f208]) ).
fof(f4893,plain,
! [X0,X1] :
( ( k4_xboole_0(X0,X1) = k1_xboole_0
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| k1_xboole_0 != k4_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f4894,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,[],[f32]) ).
fof(f4895,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,[],[f4894]) ).
fof(f4896,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,[],[f4895]) ).
fof(f4897,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK58(X0,X1,X2),X0)
| r2_hidden(sK58(X0,X1,X2),X1)
| ~ r2_hidden(sK58(X0,X1,X2),X2) )
& ( ( r2_hidden(sK58(X0,X1,X2),X0)
& ~ r2_hidden(sK58(X0,X1,X2),X1) )
| r2_hidden(sK58(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,[sK58]),skolemize(X3,sK58(X0,X1,X2))],[f4896]) ).
fof(f4916,plain,
! [X0,X1] :
( r2_hidden(sK0(X0,X1),X1)
| ~ r2_hidden(X0,k3_pua2mss1(X1)) ),
inference(cnf_transformation,[],[f4803]) ).
fof(f4917,plain,
! [X0,X1] :
( k1_tarski(sK0(X0,X1)) = X0
| ~ r2_hidden(X0,k3_pua2mss1(X1)) ),
inference(cnf_transformation,[],[f4803]) ).
fof(f4918,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k3_pua2mss1(X1))
| k1_tarski(X2) != X0
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f4803]) ).
fof(f4923,plain,
k3_pua2mss1(k4_xboole_0(sK1,sK2)) != k4_xboole_0(k3_pua2mss1(sK1),k3_pua2mss1(sK2)),
inference(cnf_transformation,[],[f4805]) ).
fof(f4945,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| r2_hidden(sK9(X0,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4815]) ).
fof(f4979,plain,
! [X0,X1] :
( k1_tarski(X0) = k3_xboole_0(X1,k1_tarski(X0))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f4540]) ).
fof(f4982,plain,
! [X2,X0,X1] : k4_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X2,X1)) = k3_xboole_0(k4_xboole_0(X0,X2),X1),
inference(cnf_transformation,[],[f180]) ).
fof(f4986,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f5190,plain,
! [X0,X1] :
( m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f4717]) ).
fof(f5199,plain,
! [X0,X1] :
( r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) != X0 ),
inference(cnf_transformation,[],[f4866]) ).
fof(f5202,plain,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f4867]) ).
fof(f5206,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ r2_hidden(X3,X1)
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f4870]) ).
fof(f5207,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| X0 != X3
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f4870]) ).
fof(f5279,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k3_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f123]) ).
fof(f5280,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f122]) ).
fof(f5288,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f110]) ).
fof(f5313,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f62]) ).
fof(f5338,plain,
! [X0,X1] :
( k1_xboole_0 = k4_xboole_0(k1_tarski(X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f4887]) ).
fof(f5343,plain,
! [X0,X1] :
( k4_xboole_0(X0,k1_tarski(X1)) = X0
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f4889]) ).
fof(f5349,plain,
! [X0,X1] :
( X0 != X1
| k1_tarski(X0) != k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f4892]) ).
fof(f5354,plain,
! [X0,X1] :
( k1_xboole_0 = k4_xboole_0(X0,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4893]) ).
fof(f5362,plain,
! [X2,X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f4897]) ).
fof(f5363,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f4897]) ).
fof(f5364,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,[],[f4897]) ).
fof(f5365,plain,
! [X2,X0,X1] :
( k4_xboole_0(X0,X1) = X2
| ~ r2_hidden(sK58(X0,X1,X2),X1)
| r2_hidden(sK58(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f4897]) ).
fof(f5366,plain,
! [X2,X0,X1] :
( k4_xboole_0(X0,X1) = X2
| r2_hidden(sK58(X0,X1,X2),X0)
| r2_hidden(sK58(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f4897]) ).
fof(f5367,plain,
! [X2,X0,X1] :
( k4_xboole_0(X0,X1) = X2
| ~ r2_hidden(sK58(X0,X1,X2),X0)
| r2_hidden(sK58(X0,X1,X2),X1)
| ~ r2_hidden(sK58(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f4897]) ).
fof(f5386,plain,
! [X0,X1] :
( k1_tarski(X0) = k4_xboole_0(X1,k4_xboole_0(X1,k1_tarski(X0)))
| ~ r2_hidden(X0,X1) ),
inference(definition_unfolding,[],[f4979,f4986]) ).
fof(f5389,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X1))) = k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(k4_xboole_0(X0,X2),X1)),
inference(definition_unfolding,[],[f4982,f4986,f4986,f4986]) ).
fof(f5423,plain,
! [X2,X0,X1] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),
inference(definition_unfolding,[],[f5279,f4986]) ).
fof(f5424,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k2_xboole_0(X1,X2)) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f5280,f4986]) ).
fof(f5435,plain,
! [X2,X1] :
( r2_hidden(k1_tarski(X2),k3_pua2mss1(X1))
| ~ r2_hidden(X2,X1) ),
inference(equality_resolution,[],[f4918]) ).
fof(f5461,plain,
! [X1] : r1_tarski(k1_tarski(X1),k1_tarski(X1)),
inference(equality_resolution,[],[f5199]) ).
fof(f5462,plain,
! [X3,X1] :
( r2_hidden(X3,X1)
| k1_tarski(X3) != X1 ),
inference(equality_resolution,[],[f5207]) ).
fof(f5463,plain,
! [X3] : r2_hidden(X3,k1_tarski(X3)),
inference(equality_resolution,[],[f5462]) ).
fof(f5464,plain,
! [X3,X0] :
( X0 = X3
| ~ r2_hidden(X3,k1_tarski(X0)) ),
inference(equality_resolution,[],[f5206]) ).
fof(f5472,plain,
! [X1] : k1_tarski(X1) != k4_xboole_0(k1_tarski(X1),k1_tarski(X1)),
inference(equality_resolution,[],[f5349]) ).
fof(f5473,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f5364]) ).
fof(f5474,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f5363]) ).
fof(f5475,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f5362]) ).
fof(f5545,definition,
( spl91_1
<=> k3_pua2mss1(k4_xboole_0(sK1,sK2)) = k4_xboole_0(k3_pua2mss1(sK1),k3_pua2mss1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl91_1])],[avatar_definition]) ).
fof(f5547,plain,
( k3_pua2mss1(k4_xboole_0(sK1,sK2)) != k4_xboole_0(k3_pua2mss1(sK1),k3_pua2mss1(sK2))
| spl91_1 ),
inference(avatar_component_clause,[],[f5545]) ).
fof(f5548,plain,
~ spl91_1,
inference(avatar_split_clause,[],[f4923,f5545]) ).
fof(f5549,plain,
( ! [X0] :
( k3_pua2mss1(k4_xboole_0(sK1,sK2)) != X0
| ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),X0),k3_pua2mss1(sK2))
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),X0),X0) )
| spl91_1 ),
inference(superposition,[],[f5547,f5365]) ).
fof(f5554,definition,
( spl91_2
<=> ! [X0] :
( k3_pua2mss1(k4_xboole_0(sK1,sK2)) != X0
| ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),X0),k3_pua2mss1(sK2))
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl91_2])],[avatar_definition]) ).
fof(f5555,plain,
( ! [X0] :
( k3_pua2mss1(k4_xboole_0(sK1,sK2)) != X0
| ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),X0),k3_pua2mss1(sK2))
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),X0),X0) )
| ~ spl91_2 ),
inference(avatar_component_clause,[],[f5554]) ).
fof(f5556,plain,
( spl91_2
| spl91_1 ),
inference(avatar_split_clause,[],[f5549,f5545,f5554]) ).
fof(f5561,plain,
( ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK2))
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| ~ spl91_2 ),
inference(equality_resolution,[],[f5555]) ).
fof(f5564,definition,
( spl91_3
<=> r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(k4_xboole_0(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl91_3])],[avatar_definition]) ).
fof(f5565,plain,
( ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| spl91_3 ),
inference(avatar_component_clause,[],[f5564]) ).
fof(f5566,plain,
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| ~ spl91_3 ),
inference(avatar_component_clause,[],[f5564]) ).
fof(f5568,definition,
( spl91_4
<=> r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl91_4])],[avatar_definition]) ).
fof(f5569,plain,
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK2))
| ~ spl91_4 ),
inference(avatar_component_clause,[],[f5568]) ).
fof(f5570,plain,
( ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK2))
| spl91_4 ),
inference(avatar_component_clause,[],[f5568]) ).
fof(f5571,plain,
( spl91_3
| ~ spl91_4
| ~ spl91_2 ),
inference(avatar_split_clause,[],[f5561,f5554,f5568,f5564]) ).
fof(f5572,plain,
( k3_pua2mss1(k4_xboole_0(sK1,sK2)) = k4_xboole_0(k3_pua2mss1(sK1),k3_pua2mss1(sK2))
| ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1))
| ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| spl91_4 ),
inference(resolution,[],[f5570,f5367]) ).
fof(f5596,plain,
( ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1))
| ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| spl91_1
| spl91_4 ),
inference(forward_subsumption_resolution,[],[f5572,f5547]) ).
fof(f5598,definition,
( spl91_5
<=> r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl91_5])],[avatar_definition]) ).
fof(f5599,plain,
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1))
| ~ spl91_5 ),
inference(avatar_component_clause,[],[f5598]) ).
fof(f5600,plain,
( ~ r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1))
| spl91_5 ),
inference(avatar_component_clause,[],[f5598]) ).
fof(f5601,plain,
( ~ spl91_3
| ~ spl91_5
| spl91_1
| spl91_4 ),
inference(avatar_split_clause,[],[f5596,f5568,f5545,f5598,f5564]) ).
fof(f5603,plain,
( k3_pua2mss1(k4_xboole_0(sK1,sK2)) = k4_xboole_0(k3_pua2mss1(sK1),k3_pua2mss1(sK2))
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1))
| spl91_3 ),
inference(resolution,[],[f5565,f5366]) ).
fof(f5627,plain,
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1))
| spl91_1
| spl91_3 ),
inference(forward_subsumption_resolution,[],[f5603,f5547]) ).
fof(f5628,plain,
( spl91_5
| spl91_1
| spl91_3 ),
inference(avatar_split_clause,[],[f5627,f5564,f5545,f5598]) ).
fof(f5630,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),sK1)
| ~ spl91_5 ),
inference(resolution,[],[f5599,f4916]) ).
fof(f5631,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1))
| ~ spl91_5 ),
inference(resolution,[],[f5599,f4917]) ).
fof(f5697,definition,
( spl91_6
<=> sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1)) ),
introduced(definition,[new_symbols(definition,[spl91_6])],[avatar_definition]) ).
fof(f5699,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1))
| ~ spl91_6 ),
inference(avatar_component_clause,[],[f5697]) ).
fof(f5700,plain,
( spl91_6
| ~ spl91_5 ),
inference(avatar_split_clause,[],[f5631,f5598,f5697]) ).
fof(f5802,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_6 ),
inference(superposition,[],[f5463,f5699]) ).
fof(f5838,definition,
( spl91_7
<=> r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl91_7])],[avatar_definition]) ).
fof(f5840,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),sK1)
| ~ spl91_7 ),
inference(avatar_component_clause,[],[f5838]) ).
fof(f5841,plain,
( spl91_7
| ~ spl91_5 ),
inference(avatar_split_clause,[],[f5630,f5598,f5838]) ).
fof(f5844,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)))
| ~ spl91_3 ),
inference(resolution,[],[f5566,f4917]) ).
fof(f5934,definition,
( spl91_8
<=> sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl91_8])],[avatar_definition]) ).
fof(f5936,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)))
| ~ spl91_8 ),
inference(avatar_component_clause,[],[f5934]) ).
fof(f5937,plain,
( spl91_8
| ~ spl91_3 ),
inference(avatar_split_clause,[],[f5844,f5564,f5934]) ).
fof(f6036,plain,
( m1_subset_1(k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1)),k1_zfmisc_1(sK1))
| ~ spl91_7 ),
inference(resolution,[],[f5840,f5190]) ).
fof(f6051,plain,
( k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1)) = k4_xboole_0(sK1,k4_xboole_0(sK1,k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1))))
| ~ spl91_7 ),
inference(resolution,[],[f5840,f5386]) ).
fof(f6091,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| ~ spl91_6
| ~ spl91_7 ),
inference(forward_demodulation,[],[f6051,f5699]) ).
fof(f6098,plain,
( m1_subset_1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k1_zfmisc_1(sK1))
| ~ spl91_6
| ~ spl91_7 ),
inference(forward_demodulation,[],[f6036,f5699]) ).
fof(f6111,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2))
| ~ spl91_4 ),
inference(resolution,[],[f5569,f4917]) ).
fof(f6242,definition,
( spl91_10
<=> sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2)) ),
introduced(definition,[new_symbols(definition,[spl91_10])],[avatar_definition]) ).
fof(f6244,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2))
| ~ spl91_10 ),
inference(avatar_component_clause,[],[f6242]) ).
fof(f6245,plain,
( spl91_10
| ~ spl91_4 ),
inference(avatar_split_clause,[],[f6111,f5568,f6242]) ).
fof(f6396,plain,
( r1_tarski(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_8 ),
inference(superposition,[],[f5461,f5936]) ).
fof(f6433,definition,
( spl91_11
<=> sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl91_11])],[avatar_definition]) ).
fof(f6435,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| ~ spl91_11 ),
inference(avatar_component_clause,[],[f6433]) ).
fof(f6436,plain,
( spl91_11
| ~ spl91_6
| ~ spl91_7 ),
inference(avatar_split_clause,[],[f6091,f5838,f5697,f6433]) ).
fof(f6438,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)),k4_xboole_0(sK1,sK2))
| ~ spl91_3 ),
inference(resolution,[],[f5566,f4916]) ).
fof(f6527,definition,
( spl91_12
<=> r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)),k4_xboole_0(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl91_12])],[avatar_definition]) ).
fof(f6529,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)),k4_xboole_0(sK1,sK2))
| ~ spl91_12 ),
inference(avatar_component_clause,[],[f6527]) ).
fof(f6530,plain,
( spl91_12
| ~ spl91_3 ),
inference(avatar_split_clause,[],[f6438,f5564,f6527]) ).
fof(f6532,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)),sK1)
| ~ spl91_12 ),
inference(resolution,[],[f6529,f5474]) ).
fof(f6554,plain,
( k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2))) = k4_xboole_0(k4_xboole_0(sK1,sK2),k4_xboole_0(k4_xboole_0(sK1,sK2),k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)))))
| ~ spl91_12 ),
inference(resolution,[],[f6529,f5386]) ).
fof(f6595,plain,
( k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k2_xboole_0(sK2,k4_xboole_0(k4_xboole_0(sK1,sK2),k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2))))))
| ~ spl91_12 ),
inference(forward_demodulation,[],[f6554,f5288]) ).
fof(f6606,plain,
( k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k2_xboole_0(sK2,k4_xboole_0(sK1,k2_xboole_0(sK2,k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)))))))
| ~ spl91_12 ),
inference(forward_demodulation,[],[f6595,f5288]) ).
fof(f6610,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k2_xboole_0(sK2,k4_xboole_0(sK1,k2_xboole_0(sK2,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))))
| ~ spl91_8
| ~ spl91_12 ),
inference(forward_demodulation,[],[f6606,f5936]) ).
fof(f7093,definition,
( spl91_15
<=> k1_xboole_0 = k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl91_15])],[avatar_definition]) ).
fof(f7094,plain,
( k1_xboole_0 != k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| spl91_15 ),
inference(avatar_component_clause,[],[f7093]) ).
fof(f7095,plain,
( k1_xboole_0 = k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_15 ),
inference(avatar_component_clause,[],[f7093]) ).
fof(f7171,plain,
( ! [X0] : k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(X0,k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))) = k2_xboole_0(k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),X0),k1_xboole_0)
| ~ spl91_15 ),
inference(superposition,[],[f5423,f7095]) ).
fof(f7218,plain,
( ! [X0] : k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),X0) = k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(X0,k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))))
| ~ spl91_15 ),
inference(forward_demodulation,[],[f7171,f5313]) ).
fof(f7300,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2),sK2)
| ~ spl91_4 ),
inference(resolution,[],[f5569,f4916]) ).
fof(f7501,definition,
( spl91_17
<=> r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl91_17])],[avatar_definition]) ).
fof(f7503,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2),sK2)
| ~ spl91_17 ),
inference(avatar_component_clause,[],[f7501]) ).
fof(f7504,plain,
( spl91_17
| ~ spl91_4 ),
inference(avatar_split_clause,[],[f7300,f5568,f7501]) ).
fof(f7837,definition,
( spl91_20
<=> ! [X0] :
( k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) = X0
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl91_20])],[avatar_definition]) ).
fof(f7838,plain,
( ! [X0] :
( k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) = X0
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0)) )
| ~ spl91_20 ),
inference(avatar_component_clause,[],[f7837]) ).
fof(f8339,definition,
( spl91_25
<=> r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)),sK1) ),
introduced(definition,[new_symbols(definition,[spl91_25])],[avatar_definition]) ).
fof(f8341,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)),sK1)
| ~ spl91_25 ),
inference(avatar_component_clause,[],[f8339]) ).
fof(f8342,plain,
( spl91_25
| ~ spl91_12 ),
inference(avatar_split_clause,[],[f6532,f6527,f8339]) ).
fof(f8365,plain,
( k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k4_xboole_0(sK1,k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2)))))
| ~ spl91_25 ),
inference(resolution,[],[f8341,f5386]) ).
fof(f8366,plain,
( r2_hidden(k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1))
| ~ spl91_25 ),
inference(resolution,[],[f8341,f5435]) ).
fof(f8403,plain,
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(sK1))
| ~ spl91_8
| ~ spl91_25 ),
inference(forward_demodulation,[],[f8366,f5936]) ).
fof(f8404,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| ~ spl91_8
| ~ spl91_25 ),
inference(forward_demodulation,[],[f8365,f5936]) ).
fof(f8415,plain,
( $false
| spl91_5
| ~ spl91_8
| ~ spl91_25 ),
inference(forward_subsumption_resolution,[],[f8403,f5600]) ).
fof(f8416,plain,
( spl91_5
| ~ spl91_8
| ~ spl91_25 ),
inference(avatar_contradiction_clause,[],[f8415]) ).
fof(f8799,plain,
( ! [X0] :
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0))
| ~ r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),X0) )
| ~ spl91_6 ),
inference(superposition,[],[f5435,f5699]) ).
fof(f8803,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1) = X0 )
| ~ spl91_6 ),
inference(superposition,[],[f5464,f5699]) ).
fof(f8805,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) != k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_6 ),
inference(superposition,[],[f5472,f5699]) ).
fof(f8817,plain,
( k1_xboole_0 != sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| ~ spl91_6
| ~ spl91_15 ),
inference(forward_demodulation,[],[f8805,f7095]) ).
fof(f8844,plain,
( r1_tarski(k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2)),sK2)
| ~ spl91_17 ),
inference(resolution,[],[f7503,f5202]) ).
fof(f8903,plain,
( r1_tarski(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2)
| ~ spl91_10
| ~ spl91_17 ),
inference(forward_demodulation,[],[f8844,f6244]) ).
fof(f9230,plain,
( spl91_11
| ~ spl91_8
| ~ spl91_25 ),
inference(avatar_split_clause,[],[f8404,f8339,f5934,f6433]) ).
fof(f9263,plain,
( ! [X0] : k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(X0,k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))) = k4_xboole_0(k4_xboole_0(sK1,X0),k4_xboole_0(k4_xboole_0(sK1,X0),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| ~ spl91_11 ),
inference(superposition,[],[f5389,f6435]) ).
fof(f9366,plain,
( ! [X0] : k4_xboole_0(k4_xboole_0(sK1,X0),k4_xboole_0(k4_xboole_0(sK1,X0),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) = k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))))
| ~ spl91_11 ),
inference(superposition,[],[f5424,f6435]) ).
fof(f9380,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| r2_hidden(X0,sK1) )
| ~ spl91_11 ),
inference(superposition,[],[f5474,f6435]) ).
fof(f9387,plain,
( ! [X0] : k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))) = k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(k4_xboole_0(sK1,X0),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))))
| ~ spl91_11 ),
inference(forward_demodulation,[],[f9366,f5288]) ).
fof(f9423,plain,
( ! [X0] : k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(X0,k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))) = k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(k4_xboole_0(sK1,X0),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))))
| ~ spl91_11 ),
inference(forward_demodulation,[],[f9263,f5288]) ).
fof(f9433,plain,
( ! [X0] : k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))) = k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(sK1,k2_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))))
| ~ spl91_11 ),
inference(forward_demodulation,[],[f9387,f5288]) ).
fof(f9446,plain,
( ! [X0] : k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(X0,k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))) = k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(sK1,k2_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))))
| ~ spl91_11 ),
inference(forward_demodulation,[],[f9423,f5288]) ).
fof(f9455,plain,
( ! [X0] : k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k4_xboole_0(X0,k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))) = k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))))
| ~ spl91_11 ),
inference(forward_demodulation,[],[f9446,f9433]) ).
fof(f9462,plain,
( ! [X0] : k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),X0) = k4_xboole_0(sK1,k2_xboole_0(X0,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))))
| ~ spl91_11
| ~ spl91_15 ),
inference(forward_demodulation,[],[f9455,f7218]) ).
fof(f9863,definition,
( spl91_34
<=> r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl91_34])],[avatar_definition]) ).
fof(f9865,plain,
( r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_34 ),
inference(avatar_component_clause,[],[f9863]) ).
fof(f9866,plain,
( spl91_34
| ~ spl91_6 ),
inference(avatar_split_clause,[],[f5802,f5697,f9863]) ).
fof(f9995,definition,
( spl91_38
<=> r1_tarski(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl91_38])],[avatar_definition]) ).
fof(f9997,plain,
( r1_tarski(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_38 ),
inference(avatar_component_clause,[],[f9995]) ).
fof(f9998,plain,
( spl91_38
| ~ spl91_8 ),
inference(avatar_split_clause,[],[f6396,f5934,f9995]) ).
fof(f10038,plain,
( k1_xboole_0 = k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_38 ),
inference(resolution,[],[f9997,f5354]) ).
fof(f10432,definition,
( spl91_47
<=> ! [X0] :
( k1_tarski(X0) = sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) ) ),
introduced(definition,[new_symbols(definition,[spl91_47])],[avatar_definition]) ).
fof(f10433,plain,
( ! [X0] :
( k1_tarski(X0) = sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) )
| ~ spl91_47 ),
inference(avatar_component_clause,[],[f10432]) ).
fof(f10464,definition,
( spl91_48
<=> r1_tarski(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2) ),
introduced(definition,[new_symbols(definition,[spl91_48])],[avatar_definition]) ).
fof(f10466,plain,
( r1_tarski(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2)
| ~ spl91_48 ),
inference(avatar_component_clause,[],[f10464]) ).
fof(f10467,plain,
( spl91_48
| ~ spl91_10
| ~ spl91_17 ),
inference(avatar_split_clause,[],[f8903,f7501,f6242,f10464]) ).
fof(f10506,plain,
( k1_xboole_0 = k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2)
| ~ spl91_48 ),
inference(resolution,[],[f10466,f5354]) ).
fof(f10763,definition,
( spl91_50
<=> sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k2_xboole_0(sK2,k4_xboole_0(sK1,k2_xboole_0(sK2,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))))) ),
introduced(definition,[new_symbols(definition,[spl91_50])],[avatar_definition]) ).
fof(f10765,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k2_xboole_0(sK2,k4_xboole_0(sK1,k2_xboole_0(sK2,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))))
| ~ spl91_50 ),
inference(avatar_component_clause,[],[f10763]) ).
fof(f10766,plain,
( spl91_50
| ~ spl91_8
| ~ spl91_12 ),
inference(avatar_split_clause,[],[f6610,f6527,f5934,f10763]) ).
fof(f10767,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK1,k2_xboole_0(sK2,k4_xboole_0(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))))
| ~ spl91_11
| ~ spl91_50 ),
inference(forward_demodulation,[],[f10765,f9433]) ).
fof(f10768,plain,
( sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))) = k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK2)
| ~ spl91_11
| ~ spl91_15
| ~ spl91_50 ),
inference(forward_demodulation,[],[f10767,f9462]) ).
fof(f10787,plain,
( k1_xboole_0 = sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| ~ spl91_11
| ~ spl91_15
| ~ spl91_48
| ~ spl91_50 ),
inference(forward_demodulation,[],[f10768,f10506]) ).
fof(f10910,plain,
( ! [X0] :
( ~ r2_hidden(k1_tarski(X0),k3_pua2mss1(sK2))
| ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) )
| spl91_4
| ~ spl91_47 ),
inference(superposition,[],[f5570,f10433]) ).
fof(f13749,definition,
( spl91_74
<=> ! [X0] :
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0))
| ~ r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),X0) ) ),
introduced(definition,[new_symbols(definition,[spl91_74])],[avatar_definition]) ).
fof(f13750,plain,
( ! [X0] :
( ~ r2_hidden(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1),X0)
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0)) )
| ~ spl91_74 ),
inference(avatar_component_clause,[],[f13749]) ).
fof(f13751,plain,
( spl91_74
| ~ spl91_6 ),
inference(avatar_split_clause,[],[f8799,f5697,f13749]) ).
fof(f13760,plain,
( ! [X0] :
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0))
| k4_xboole_0(X0,k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1))) = X0 )
| ~ spl91_74 ),
inference(resolution,[],[f13750,f5343]) ).
fof(f13792,plain,
( ! [X0] :
( k4_xboole_0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) = X0
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0)) )
| ~ spl91_6
| ~ spl91_74 ),
inference(forward_demodulation,[],[f13760,f5699]) ).
fof(f13799,plain,
( spl91_20
| ~ spl91_6
| ~ spl91_74 ),
inference(avatar_split_clause,[],[f13792,f13749,f5697,f7837]) ).
fof(f13906,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0)) )
| ~ spl91_20 ),
inference(superposition,[],[f5475,f7838]) ).
fof(f14056,definition,
( spl91_77
<=> ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl91_77])],[avatar_definition]) ).
fof(f14057,plain,
( ! [X0] :
( sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1) = X0
| ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) )
| ~ spl91_77 ),
inference(avatar_component_clause,[],[f14056]) ).
fof(f14058,plain,
( spl91_77
| ~ spl91_6 ),
inference(avatar_split_clause,[],[f8803,f5697,f14056]) ).
fof(f14066,plain,
( ! [X0] :
( k1_tarski(X0) = sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) )
| ~ spl91_6
| ~ spl91_77 ),
inference(superposition,[],[f5699,f14057]) ).
fof(f17454,definition,
( spl91_118
<=> ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| r2_hidden(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl91_118])],[avatar_definition]) ).
fof(f17455,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| r2_hidden(X0,sK1) )
| ~ spl91_118 ),
inference(avatar_component_clause,[],[f17454]) ).
fof(f17456,plain,
( spl91_118
| ~ spl91_11 ),
inference(avatar_split_clause,[],[f9380,f6433,f17454]) ).
fof(f17487,plain,
( ! [X0] :
( r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK1)
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) )
| ~ spl91_118 ),
inference(resolution,[],[f17455,f4916]) ).
fof(f17536,definition,
( spl91_119
<=> ! [X0] :
( r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK1)
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) ) ),
introduced(definition,[new_symbols(definition,[spl91_119])],[avatar_definition]) ).
fof(f17537,plain,
( ! [X0] :
( r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK1)
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) )
| ~ spl91_119 ),
inference(avatar_component_clause,[],[f17536]) ).
fof(f17538,plain,
( spl91_119
| ~ spl91_118 ),
inference(avatar_split_clause,[],[f17487,f17454,f17536]) ).
fof(f18131,definition,
( spl91_134
<=> m1_subset_1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k1_zfmisc_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl91_134])],[avatar_definition]) ).
fof(f18133,plain,
( m1_subset_1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k1_zfmisc_1(sK1))
| ~ spl91_134 ),
inference(avatar_component_clause,[],[f18131]) ).
fof(f18134,plain,
( spl91_134
| ~ spl91_6
| ~ spl91_7 ),
inference(avatar_split_clause,[],[f6098,f5838,f5697,f18131]) ).
fof(f18150,plain,
( k1_xboole_0 = sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))
| r2_hidden(sK9(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_134 ),
inference(resolution,[],[f18133,f4945]) ).
fof(f18426,plain,
( spl91_47
| ~ spl91_6
| ~ spl91_77 ),
inference(avatar_split_clause,[],[f14066,f14056,f5697,f10432]) ).
fof(f19057,plain,
( k1_xboole_0 = k4_xboole_0(k1_tarski(sK0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK1)),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_34 ),
inference(resolution,[],[f9865,f5338]) ).
fof(f19105,plain,
( k1_xboole_0 = k4_xboole_0(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_6
| ~ spl91_34 ),
inference(forward_demodulation,[],[f19057,f5699]) ).
fof(f22993,definition,
( spl91_184
<=> ! [X0] :
( ~ r2_hidden(k1_tarski(X0),k3_pua2mss1(sK2))
| ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) ) ),
introduced(definition,[new_symbols(definition,[spl91_184])],[avatar_definition]) ).
fof(f22994,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ r2_hidden(k1_tarski(X0),k3_pua2mss1(sK2)) )
| ~ spl91_184 ),
inference(avatar_component_clause,[],[f22993]) ).
fof(f22995,plain,
( spl91_184
| spl91_4
| ~ spl91_47 ),
inference(avatar_split_clause,[],[f10910,f10432,f5568,f22993]) ).
fof(f23028,plain,
( ! [X0] :
( ~ r2_hidden(k1_tarski(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))),k3_pua2mss1(sK2))
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) )
| ~ spl91_184 ),
inference(resolution,[],[f22994,f4916]) ).
fof(f23079,definition,
( spl91_185
<=> ! [X0] :
( ~ r2_hidden(k1_tarski(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))),k3_pua2mss1(sK2))
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) ) ),
introduced(definition,[new_symbols(definition,[spl91_185])],[avatar_definition]) ).
fof(f23080,plain,
( ! [X0] :
( ~ r2_hidden(k1_tarski(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))),k3_pua2mss1(sK2))
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) )
| ~ spl91_185 ),
inference(avatar_component_clause,[],[f23079]) ).
fof(f23081,plain,
( spl91_185
| ~ spl91_184 ),
inference(avatar_split_clause,[],[f23028,f22993,f23079]) ).
fof(f23082,plain,
( ! [X0] :
( ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| ~ r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK2) )
| ~ spl91_185 ),
inference(resolution,[],[f23080,f5435]) ).
fof(f24180,plain,
( $false
| ~ spl91_6
| ~ spl91_11
| ~ spl91_15
| ~ spl91_48
| ~ spl91_50 ),
inference(forward_subsumption_resolution,[],[f8817,f10787]) ).
fof(f24181,plain,
( ~ spl91_6
| ~ spl91_11
| ~ spl91_15
| ~ spl91_48
| ~ spl91_50 ),
inference(avatar_contradiction_clause,[],[f24180]) ).
fof(f24624,definition,
( spl91_199
<=> r2_hidden(sK9(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl91_199])],[avatar_definition]) ).
fof(f24625,plain,
( ~ r2_hidden(sK9(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| spl91_199 ),
inference(avatar_component_clause,[],[f24624]) ).
fof(f24626,plain,
( r2_hidden(sK9(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_199 ),
inference(avatar_component_clause,[],[f24624]) ).
fof(f24653,plain,
( r2_hidden(k1_tarski(sK9(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))),k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| ~ spl91_199 ),
inference(resolution,[],[f24626,f5435]) ).
fof(f25218,definition,
( spl91_212
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl91_212])],[avatar_definition]) ).
fof(f25219,plain,
( ! [X0,X1] :
( r2_hidden(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))),k3_pua2mss1(X0))
| ~ r2_hidden(X1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ r2_hidden(X1,X0) )
| ~ spl91_212 ),
inference(avatar_component_clause,[],[f25218]) ).
fof(f25220,plain,
( spl91_212
| ~ spl91_20 ),
inference(avatar_split_clause,[],[f13906,f7837,f25218]) ).
fof(f25221,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ r2_hidden(X0,k4_xboole_0(sK1,sK2)) )
| spl91_3
| ~ spl91_212 ),
inference(resolution,[],[f25219,f5565]) ).
fof(f25297,definition,
( spl91_213
<=> ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ r2_hidden(X0,k4_xboole_0(sK1,sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl91_213])],[avatar_definition]) ).
fof(f25298,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ r2_hidden(X0,k4_xboole_0(sK1,sK2)) )
| ~ spl91_213 ),
inference(avatar_component_clause,[],[f25297]) ).
fof(f25299,plain,
( spl91_213
| spl91_3
| ~ spl91_212 ),
inference(avatar_split_clause,[],[f25221,f25218,f5564,f25297]) ).
fof(f25332,plain,
( ! [X0] :
( ~ r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),k4_xboole_0(sK1,sK2))
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) )
| ~ spl91_213 ),
inference(resolution,[],[f25298,f4916]) ).
fof(f25383,definition,
( spl91_214
<=> ! [X0] :
( ~ r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),k4_xboole_0(sK1,sK2))
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) ) ),
introduced(definition,[new_symbols(definition,[spl91_214])],[avatar_definition]) ).
fof(f25384,plain,
( ! [X0] :
( ~ r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),k4_xboole_0(sK1,sK2))
| ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))) )
| ~ spl91_214 ),
inference(avatar_component_clause,[],[f25383]) ).
fof(f25385,plain,
( spl91_214
| ~ spl91_213 ),
inference(avatar_split_clause,[],[f25332,f25297,f25383]) ).
fof(f25386,plain,
( ! [X0] :
( ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| ~ r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK1)
| r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK2) )
| ~ spl91_214 ),
inference(resolution,[],[f25384,f5473]) ).
fof(f25416,plain,
( ! [X0] :
( ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| r2_hidden(sK0(X0,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK2) )
| ~ spl91_119
| ~ spl91_214 ),
inference(forward_subsumption_resolution,[],[f25386,f17537]) ).
fof(f25501,plain,
( $false
| spl91_15
| ~ spl91_38 ),
inference(forward_subsumption_resolution,[],[f10038,f7094]) ).
fof(f25502,plain,
( spl91_15
| ~ spl91_38 ),
inference(avatar_contradiction_clause,[],[f25501]) ).
fof(f25568,plain,
( $false
| ~ spl91_6
| spl91_15
| ~ spl91_34 ),
inference(forward_subsumption_resolution,[],[f19105,f7094]) ).
fof(f25569,plain,
( ~ spl91_6
| spl91_15
| ~ spl91_34 ),
inference(avatar_contradiction_clause,[],[f25568]) ).
fof(f31985,plain,
( ! [X0] : ~ r2_hidden(X0,k3_pua2mss1(sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))))
| ~ spl91_119
| ~ spl91_185
| ~ spl91_214 ),
inference(forward_subsumption_resolution,[],[f25416,f23082]) ).
fof(f32339,plain,
( $false
| ~ spl91_119
| ~ spl91_185
| ~ spl91_199
| ~ spl91_214 ),
inference(backward_subsumption_resolution,[],[f24653,f31985]) ).
fof(f32350,plain,
( ~ spl91_119
| ~ spl91_185
| ~ spl91_199
| ~ spl91_214 ),
inference(avatar_contradiction_clause,[],[f32339]) ).
fof(f32480,plain,
( r2_hidden(sK9(sK1,sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2)))),sK58(k3_pua2mss1(sK1),k3_pua2mss1(sK2),k3_pua2mss1(k4_xboole_0(sK1,sK2))))
| ~ spl91_6
| ~ spl91_15
| ~ spl91_134 ),
inference(forward_subsumption_resolution,[],[f18150,f8817]) ).
fof(f32532,plain,
( $false
| ~ spl91_6
| ~ spl91_15
| ~ spl91_134
| spl91_199 ),
inference(forward_subsumption_resolution,[],[f32480,f24625]) ).
fof(f32533,plain,
( ~ spl91_6
| ~ spl91_15
| ~ spl91_134
| spl91_199 ),
inference(avatar_contradiction_clause,[],[f32532]) ).
cnf(s1,plain,
~ spl91_1,
inference(sat_conversion,[],[f5548]) ).
cnf(s2,plain,
( spl91_1
| spl91_2 ),
inference(sat_conversion,[],[f5556]) ).
cnf(s3,plain,
( ~ spl91_2
| spl91_3
| ~ spl91_4 ),
inference(sat_conversion,[],[f5571]) ).
cnf(s4,plain,
( spl91_1
| ~ spl91_3
| spl91_4
| ~ spl91_5 ),
inference(sat_conversion,[],[f5601]) ).
cnf(s5,plain,
( spl91_1
| spl91_3
| spl91_5 ),
inference(sat_conversion,[],[f5628]) ).
cnf(s6,plain,
( ~ spl91_5
| spl91_6 ),
inference(sat_conversion,[],[f5700]) ).
cnf(s7,plain,
( ~ spl91_5
| spl91_7 ),
inference(sat_conversion,[],[f5841]) ).
cnf(s8,plain,
( ~ spl91_3
| spl91_8 ),
inference(sat_conversion,[],[f5937]) ).
cnf(s11,plain,
( ~ spl91_4
| spl91_10 ),
inference(sat_conversion,[],[f6245]) ).
cnf(s12,plain,
( ~ spl91_6
| ~ spl91_7
| spl91_11 ),
inference(sat_conversion,[],[f6436]) ).
cnf(s13,plain,
( ~ spl91_3
| spl91_12 ),
inference(sat_conversion,[],[f6530]) ).
cnf(s18,plain,
( ~ spl91_4
| spl91_17 ),
inference(sat_conversion,[],[f7504]) ).
cnf(s26,plain,
( ~ spl91_12
| spl91_25 ),
inference(sat_conversion,[],[f8342]) ).
cnf(s28,plain,
( spl91_5
| ~ spl91_8
| ~ spl91_25 ),
inference(sat_conversion,[],[f8416]) ).
cnf(s35,plain,
( ~ spl91_8
| spl91_11
| ~ spl91_25 ),
inference(sat_conversion,[],[f9230]) ).
cnf(s43,plain,
( ~ spl91_6
| spl91_34 ),
inference(sat_conversion,[],[f9866]) ).
cnf(s47,plain,
( ~ spl91_8
| spl91_38 ),
inference(sat_conversion,[],[f9998]) ).
cnf(s56,plain,
( ~ spl91_10
| ~ spl91_17
| spl91_48 ),
inference(sat_conversion,[],[f10467]) ).
cnf(s58,plain,
( ~ spl91_8
| ~ spl91_12
| spl91_50 ),
inference(sat_conversion,[],[f10766]) ).
cnf(s107,plain,
( ~ spl91_6
| spl91_74 ),
inference(sat_conversion,[],[f13751]) ).
cnf(s108,plain,
( ~ spl91_6
| spl91_20
| ~ spl91_74 ),
inference(sat_conversion,[],[f13799]) ).
cnf(s111,plain,
( ~ spl91_6
| spl91_77 ),
inference(sat_conversion,[],[f14058]) ).
cnf(s155,plain,
( ~ spl91_11
| spl91_118 ),
inference(sat_conversion,[],[f17456]) ).
cnf(s156,plain,
( ~ spl91_118
| spl91_119 ),
inference(sat_conversion,[],[f17538]) ).
cnf(s170,plain,
( ~ spl91_6
| ~ spl91_7
| spl91_134 ),
inference(sat_conversion,[],[f18134]) ).
cnf(s183,plain,
( ~ spl91_6
| spl91_47
| ~ spl91_77 ),
inference(sat_conversion,[],[f18426]) ).
cnf(s233,plain,
( spl91_4
| ~ spl91_47
| spl91_184 ),
inference(sat_conversion,[],[f22995]) ).
cnf(s234,plain,
( ~ spl91_184
| spl91_185 ),
inference(sat_conversion,[],[f23081]) ).
cnf(s246,plain,
( ~ spl91_6
| ~ spl91_11
| ~ spl91_15
| ~ spl91_48
| ~ spl91_50 ),
inference(sat_conversion,[],[f24181]) ).
cnf(s288,plain,
( ~ spl91_20
| spl91_212 ),
inference(sat_conversion,[],[f25220]) ).
cnf(s289,plain,
( spl91_3
| ~ spl91_212
| spl91_213 ),
inference(sat_conversion,[],[f25299]) ).
cnf(s290,plain,
( ~ spl91_213
| spl91_214 ),
inference(sat_conversion,[],[f25385]) ).
cnf(s297,plain,
( spl91_15
| ~ spl91_38 ),
inference(sat_conversion,[],[f25502]) ).
cnf(s301,plain,
( ~ spl91_6
| spl91_15
| ~ spl91_34 ),
inference(sat_conversion,[],[f25569]) ).
cnf(s934,plain,
( ~ spl91_119
| ~ spl91_185
| ~ spl91_199
| ~ spl91_214 ),
inference(sat_conversion,[],[f32350]) ).
cnf(s945,plain,
( ~ spl91_6
| ~ spl91_15
| ~ spl91_134
| spl91_199 ),
inference(sat_conversion,[],[f32533]) ).
cnf(s948,plain,
spl91_2,
inference(rat,[],[s2,s1]) ).
cnf(s949,plain,
spl91_3,
inference(rat,[],[s290,s934,s289,s234,s156,s945,s288,s233,s155,s301,s108,s183,s12,s43,s107,s111,s170,s6,s7,s3,s5,s948,s1]) ).
cnf(s952,plain,
spl91_12,
inference(rat,[],[s13,s949]) ).
cnf(s953,plain,
spl91_8,
inference(rat,[],[s8,s949]) ).
cnf(s954,plain,
spl91_25,
inference(rat,[],[s26,s952]) ).
cnf(s955,plain,
spl91_50,
inference(rat,[],[s58,s952,s953]) ).
cnf(s959,plain,
spl91_38,
inference(rat,[],[s47,s953]) ).
cnf(s966,plain,
spl91_5,
inference(rat,[],[s28,s953,s954]) ).
cnf(s967,plain,
spl91_11,
inference(rat,[],[s35,s953,s954]) ).
cnf(s968,plain,
spl91_15,
inference(rat,[],[s297,s959]) ).
cnf(s984,plain,
spl91_6,
inference(rat,[],[s6,s966]) ).
cnf(s985,plain,
spl91_4,
inference(rat,[],[s4,s949,s1,s966]) ).
cnf(s993,plain,
~ spl91_48,
inference(rat,[],[s246,s967,s984,s955,s968]) ).
cnf(s1024,plain,
spl91_17,
inference(rat,[],[s18,s985]) ).
cnf(s1025,plain,
spl91_10,
inference(rat,[],[s11,s985]) ).
cnf(s1055,plain,
$false,
inference(rat,[],[s56,s993,s1024,s1025]) ).
fof(f32539,plain,
$false,
inference(avatar_sat_refutation,[],[s1055]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU416+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 05:15:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.78/3.05 % (3732)Detected formulas, will run a generic FOF schedule.
% 14.78/3.05 % (3741)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=622962432:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 14.78/3.05 % (3741)Instruction limit reached!
% 14.78/3.05 % (3741)------------------------------
% 14.78/3.05 % (3741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.05 % (3741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.05 % (3741)CaDiCaL version: 2.1.3
% 14.78/3.05 % (3741)Termination reason: Instruction limit
% 14.78/3.05 % (3741)Termination phase: Saturation
% 14.78/3.05 % (3741)Time elapsed: 0.043 s
% 14.78/3.05 % (3741)Peak memory usage: 94 MB
% 14.78/3.05 % (3741)Instructions burned: 120 (million)
% 14.78/3.05 % (3738)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=374434585:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 14.78/3.05 % (3742)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1491978450:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 14.78/3.05 % (3737)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=4023675225:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 14.78/3.05 % (3740)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=741459320:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 14.78/3.05 % (3739)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=2412608131:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 14.78/3.05 % (3743)dis-21_1_sil=8000:lcm=predicate:random_seed=1348161073:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 14.78/3.05 % (3740)Refutation not found, incomplete strategy
% 14.78/3.05 % (3740)------------------------------
% 14.78/3.05 % (3740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.05 % (3740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.05 % (3740)CaDiCaL version: 2.1.3
% 14.78/3.05 % (3740)Termination reason: Refutation not found, incomplete strategy
% 14.78/3.05 % (3740)Time elapsed: 0.020 s
% 14.78/3.05 % (3740)Peak memory usage: 93 MB
% 14.78/3.05 % (3740)Instructions burned: 23 (million)
% 14.78/3.05 % (3742)Instruction limit reached!
% 14.78/3.05 % (3742)------------------------------
% 14.78/3.05 % (3742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.05 % (3742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.05 % (3742)CaDiCaL version: 2.1.3
% 14.78/3.05 % (3742)Termination reason: Instruction limit
% 14.78/3.05 % (3742)Termination phase: Preprocessing 3
% 14.78/3.05 % (3742)Time elapsed: 0.091 s
% 14.78/3.05 % (3742)Peak memory usage: 94 MB
% 14.78/3.05 % (3742)Instructions burned: 140 (million)
% 14.78/3.05 % (3743)Instruction limit reached!
% 14.78/3.05 % (3743)------------------------------
% 14.78/3.05 % (3743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.05 % (3743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.05 % (3743)CaDiCaL version: 2.1.3
% 14.78/3.05 % (3743)Termination reason: Instruction limit
% 14.78/3.05 % (3743)Termination phase: Property scanning
% 14.78/3.05 % (3743)Time elapsed: 0.094 s
% 14.78/3.05 % (3743)Peak memory usage: 95 MB
% 14.78/3.05 % (3743)Instructions burned: 129 (million)
% 14.78/3.05 % (3751)lrs+10_1_sil=8000:sp=occurrence:random_seed=2906846034:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 14.78/3.05 % (3751)Instruction limit reached!
% 14.78/3.05 % (3751)------------------------------
% 14.78/3.05 % (3751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/3.05 % (3751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/3.05 % (3751)CaDiCaL version: 2.1.3
% 14.78/3.05 % (3751)Termination reason: Instruction limit
% 14.78/3.05 % (3751)Termination phase: Saturation
% 14.78/3.05 % (3751)Time elapsed: 0.107 s
% 14.78/3.05 % (3751)Peak memory usage: 97 MB
% 14.78/3.05 % (3751)Instructions burned: 288 (million)
% 14.78/3.05 % (3752)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1282545976:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 14.78/3.05 % (3753)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1587045852:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 27.36/4.88 % (3740)------------------------------
% 27.36/4.88 % (3740)------------------------------
% 27.36/4.88 % (3755)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=360028916:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 27.36/4.88 % (3752)Instruction limit reached!
% 27.36/4.88 % (3752)------------------------------
% 27.36/4.88 % (3752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.36/4.88 % (3752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.88 % (3752)CaDiCaL version: 2.1.3
% 27.36/4.88 % (3752)Termination reason: Instruction limit
% 27.36/4.88 % (3752)Termination phase: Saturation
% 27.36/4.88 % (3752)Time elapsed: 0.097 s
% 27.36/4.88 % (3752)Peak memory usage: 94 MB
% 27.36/4.88 % (3752)Instructions burned: 158 (million)
% 27.36/4.88 % (3755)Instruction limit reached!
% 27.36/4.88 % (3755)------------------------------
% 27.36/4.88 % (3755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.36/4.88 % (3755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.88 % (3755)CaDiCaL version: 2.1.3
% 27.36/4.88 % (3755)Termination reason: Instruction limit
% 27.36/4.88 % (3755)Termination phase: Property scanning
% 27.36/4.88 % (3755)Time elapsed: 0.081 s
% 27.36/4.88 % (3755)Peak memory usage: 98 MB
% 27.36/4.88 % (3755)Instructions burned: 249 (million)
% 27.36/4.88 % (3758)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3787956616:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 27.36/4.88 % (3753)Instruction limit reached!
% 27.36/4.88 % (3753)------------------------------
% 27.36/4.88 % (3753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.36/4.88 % (3753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.88 % (3753)CaDiCaL version: 2.1.3
% 27.36/4.88 % (3753)Termination reason: Instruction limit
% 27.36/4.88 % (3753)Termination phase: Saturation
% 27.36/4.88 % (3753)Time elapsed: 0.217 s
% 27.36/4.88 % (3753)Peak memory usage: 96 MB
% 27.36/4.88 % (3753)Instructions burned: 325 (million)
% 27.36/4.88 % (3760)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3002309473:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 27.36/4.89 % (3761)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=598136199:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 27.36/4.89 % (3761)Instruction limit reached!
% 27.36/4.89 % (3761)------------------------------
% 27.36/4.89 % (3761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.36/4.89 % (3761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.89 % (3761)CaDiCaL version: 2.1.3
% 27.36/4.89 % (3761)Termination reason: Instruction limit
% 27.36/4.89 % (3761)Termination phase: Saturation
% 27.36/4.89 % (3761)Time elapsed: 0.038 s
% 27.36/4.89 % (3761)Peak memory usage: 95 MB
% 27.36/4.89 % (3761)Instructions burned: 113 (million)
% 27.36/4.89 % (3758)Instruction limit reached!
% 27.36/4.89 % (3758)------------------------------
% 27.36/4.89 % (3758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.36/4.89 % (3758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.89 % (3758)CaDiCaL version: 2.1.3
% 27.36/4.89 % (3758)Termination reason: Instruction limit
% 27.36/4.89 % (3758)Termination phase: Saturation
% 27.36/4.89 % (3758)Time elapsed: 0.185 s
% 27.36/4.89 % (3758)Peak memory usage: 97 MB
% 27.36/4.89 % (3758)Instructions burned: 295 (million)
% 27.36/4.89 % (3763)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=610358647:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 27.36/4.89 % (3766)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4198942138:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 27.36/4.89 % (3763)Instruction limit reached!
% 27.36/4.89 % (3763)------------------------------
% 27.36/4.89 % (3763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.36/4.89 % (3763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.89 % (3763)CaDiCaL version: 2.1.3
% 27.36/4.89 % (3763)Termination reason: Instruction limit
% 27.36/4.89 % (3763)Termination phase: Preprocessing 3
% 27.36/4.89 % (3763)Time elapsed: 0.088 s
% 27.36/4.89 % (3763)Peak memory usage: 96 MB
% 27.36/4.89 % (3763)Instructions burned: 129 (million)
% 29.71/5.20 % (3766)Instruction limit reached!
% 29.71/5.20 % (3766)------------------------------
% 29.71/5.20 % (3766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3766)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3766)Termination reason: Instruction limit
% 29.71/5.20 % (3766)Termination phase: SInE selection
% 29.71/5.20 % (3766)Time elapsed: 0.029 s
% 29.71/5.20 % (3766)Peak memory usage: 89 MB
% 29.71/5.20 % (3766)Instructions burned: 114 (million)
% 29.71/5.20 % (3767)lrs+10_1_sil=8000:sp=occurrence:random_seed=2107103560:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 29.71/5.20 % (3771)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4014633153:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 29.71/5.20 % (3770)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1749868461:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 29.71/5.20 % (3770)Refutation not found, incomplete strategy
% 29.71/5.20 % (3770)------------------------------
% 29.71/5.20 % (3770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3770)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3770)Termination reason: Refutation not found, incomplete strategy
% 29.71/5.20 % (3770)Time elapsed: 0.032 s
% 29.71/5.20 % (3770)Peak memory usage: 94 MB
% 29.71/5.20 % (3770)Instructions burned: 46 (million)
% 29.71/5.20 % (3770)------------------------------
% 29.71/5.20 % (3770)------------------------------
% 29.71/5.20 % (3775)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3678406846:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 29.71/5.20 % (3767)Instruction limit reached!
% 29.71/5.20 % (3767)------------------------------
% 29.71/5.20 % (3767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3767)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3767)Termination reason: Instruction limit
% 29.71/5.20 % (3767)Termination phase: Saturation
% 29.71/5.20 % (3767)Time elapsed: 0.590 s
% 29.71/5.20 % (3767)Peak memory usage: 109 MB
% 29.71/5.20 % (3767)Instructions burned: 907 (million)
% 29.71/5.20 % (3775)Instruction limit reached!
% 29.71/5.20 % (3775)------------------------------
% 29.71/5.20 % (3775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3775)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3775)Termination reason: Instruction limit
% 29.71/5.20 % (3775)Termination phase: Saturation
% 29.71/5.20 % (3775)Time elapsed: 0.087 s
% 29.71/5.20 % (3775)Peak memory usage: 96 MB
% 29.71/5.20 % (3775)Instructions burned: 134 (million)
% 29.71/5.20 % (3777)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3363160685:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 29.71/5.20 % (3778)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2928878169:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 29.71/5.20 % (3760)Instruction limit reached!
% 29.71/5.20 % (3760)------------------------------
% 29.71/5.20 % (3760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3760)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3760)Termination reason: Instruction limit
% 29.71/5.20 % (3760)Termination phase: Saturation
% 29.71/5.20 % (3760)Time elapsed: 1.207 s
% 29.71/5.20 % (3760)Peak memory usage: 232 MB
% 29.71/5.20 % (3760)Instructions burned: 2354 (million)
% 29.71/5.20 % (3777)Instruction limit reached!
% 29.71/5.20 % (3777)------------------------------
% 29.71/5.20 % (3777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3777)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3777)Termination reason: Instruction limit
% 29.71/5.20 % (3777)Termination phase: Saturation
% 29.71/5.20 % (3777)Time elapsed: 0.312 s
% 29.71/5.20 % (3777)Peak memory usage: 106 MB
% 29.71/5.20 % (3777)Instructions burned: 593 (million)
% 29.71/5.20 % (3781)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=2086457529:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 29.71/5.20 % (3781)Instruction limit reached!
% 29.71/5.20 % (3781)------------------------------
% 29.71/5.20 % (3781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3781)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3781)Termination reason: Instruction limit
% 29.71/5.20 % (3781)Termination phase: Property scanning
% 29.71/5.20 % (3781)Time elapsed: 0.040 s
% 29.71/5.20 % (3781)Peak memory usage: 92 MB
% 29.71/5.20 % (3781)Instructions burned: 126 (million)
% 29.71/5.20 % (3783)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=449190364:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 29.71/5.20 % (3784)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=824448536:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 29.71/5.20 % (3784)Refutation not found, incomplete strategy
% 29.71/5.20 % (3784)------------------------------
% 29.71/5.20 % (3784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3784)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3784)Termination reason: Refutation not found, incomplete strategy
% 29.71/5.20 % (3784)Time elapsed: 0.010 s
% 29.71/5.20 % (3784)Peak memory usage: 93 MB
% 29.71/5.20 % (3784)Instructions burned: 21 (million)
% 29.71/5.20 % (3783)Instruction limit reached!
% 29.71/5.20 % (3783)------------------------------
% 29.71/5.20 % (3783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3783)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3783)Termination reason: Instruction limit
% 29.71/5.20 % (3783)Termination phase: Preprocessing 1
% 29.71/5.20 % (3783)Time elapsed: 0.070 s
% 29.71/5.20 % (3783)Peak memory usage: 90 MB
% 29.71/5.20 % (3783)Instructions burned: 135 (million)
% 29.71/5.20 % (3784)------------------------------
% 29.71/5.20 % (3784)------------------------------
% 29.71/5.20 % (3787)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=255406286:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 29.71/5.20 % (3787)Refutation not found, incomplete strategy
% 29.71/5.20 % (3787)------------------------------
% 29.71/5.20 % (3787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3787)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3787)Termination reason: Refutation not found, incomplete strategy
% 29.71/5.20 % (3787)Time elapsed: 0.019 s
% 29.71/5.20 % (3787)Peak memory usage: 93 MB
% 29.71/5.20 % (3787)Instructions burned: 21 (million)
% 29.71/5.20 % (3788)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2413026386:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 29.71/5.20 % (3787)------------------------------
% 29.71/5.20 % (3787)------------------------------
% 29.71/5.20 % (3791)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=588250424:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 29.71/5.20 % (3791)Instruction limit reached!
% 29.71/5.20 % (3791)------------------------------
% 29.71/5.20 % (3791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3791)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3791)Termination reason: Instruction limit
% 29.71/5.20 % (3791)Termination phase: Preprocessing 3
% 29.71/5.20 % (3791)Time elapsed: 0.100 s
% 29.71/5.20 % (3791)Peak memory usage: 97 MB
% 29.71/5.20 % (3791)Instructions burned: 151 (million)
% 29.71/5.20 % (3793)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3164061155:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 29.71/5.20 % (3739)First to succeed.
% 29.71/5.20 % (3739)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3732"
% 29.71/5.20 % (3771)Instruction limit reached!
% 29.71/5.20 % (3771)------------------------------
% 29.71/5.20 % (3771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.20 % (3771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.20 % (3771)CaDiCaL version: 2.1.3
% 29.71/5.20 % (3771)Termination reason: Instruction limit
% 29.71/5.20 % (3771)Termination phase: Saturation
% 29.71/5.20 % (3771)Time elapsed: 2.818 s
% 29.71/5.20 % (3771)Peak memory usage: 193 MB
% 29.71/5.20 % (3771)Instructions burned: 5203 (million)
% 29.71/5.20 % (3737)Also succeeded, but the first one will report.
% 29.71/5.20 % (3795)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3270447888:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 29.71/5.20 % (3739)Refutation found. Thanks to Tanya!
% 29.71/5.20 % SZS status Theorem for theBenchmark
% 29.71/5.20 % SZS output start Proof for theBenchmark
% See solution above
% 30.24/5.39 % (3739)------------------------------
% 30.24/5.39 % (3739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.24/5.39 % (3739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.24/5.39 % (3739)CaDiCaL version: 2.1.3
% 30.24/5.39 % (3739)Termination reason: Refutation
% 30.24/5.39 % (3739)Time elapsed: 3.695 s
% 30.24/5.39 % (3739)Peak memory usage: 172 MB
% 30.24/5.39 % (3739)Instructions burned: 5798 (million)
% 30.24/5.39 % (3739)------------------------------
% 30.24/5.39 % (3739)------------------------------
% 30.24/5.39 % (3732)Success in time 4.351 s
% 30.24/5.39 % Vampire exiting
%------------------------------------------------------------------------------