%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG226+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 : n010.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 09:19:28 AM UTC 2026
% Result : Theorem 6.55s 1.75s
% Output : Refutation 8.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 26
% Syntax : Number of formulae : 202 ( 47 unt; 15 def)
% Number of atoms : 815 ( 177 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1075 ( 462 ~; 489 |; 78 &)
% ( 24 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 12 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 189 ( 0 sgn 173 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X0) )
=> ( ( k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2)) )
=> r6_pboole(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_closure3) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X0) )
=> ( ( k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2)) )
=> r6_pboole(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f13,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_closure3) ).
fof(f14,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pboole) ).
fof(f15,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f22,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( v1_relat_1(X1)
& v1_funct_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_pboole(X2,X1) )
=> ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ( m1_pboole(X1,X0)
& m1_pboole(X2,X0) )
=> ( r6_pboole(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r6_pboole) ).
fof(f49,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f54,axiom,
! [X0,X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
=> k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).
fof(f57,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k1_relat_1(k7_relat_1(X1,X0)) = k3_xboole_0(k1_relat_1(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t90_relat_1) ).
fof(f58,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( ( k1_relat_1(X0) = k1_relat_1(X1)
& ! [X2] :
( r2_hidden(X2,k1_relat_1(X0))
=> k1_funct_1(X0,X2) = k1_funct_1(X1,X2) ) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r6_pboole(X0,X1,X2)
& k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2))
& v2_relat_1(X2)
& m1_pboole(X2,X0) )
& v2_relat_1(X1)
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r6_pboole(X0,X1,X2)
& k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2))
& v2_relat_1(X2)
& m1_pboole(X2,X0) )
& v2_relat_1(X1)
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f66]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f79,plain,
! [X0,X1] :
( ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f80,plain,
! [X0,X1] :
( ( m1_pboole(X1,X0)
<=> k1_relat_1(X1) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f79]) ).
fof(f82,plain,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(flattening,[],[f89]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( r6_pboole(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( r6_pboole(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(flattening,[],[f93]) ).
fof(f99,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f104,plain,
! [X0,X1,X2] :
( k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1)
| ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f105,plain,
! [X0,X1,X2] :
( k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1)
| ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f104]) ).
fof(f108,plain,
! [X0,X1] :
( k1_relat_1(k7_relat_1(X1,X0)) = k3_xboole_0(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| k1_relat_1(X1) != k1_relat_1(X0)
| ? [X2] :
( k1_funct_1(X1,X2) != k1_funct_1(X0,X2)
& r2_hidden(X2,k1_relat_1(X0)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| k1_relat_1(X1) != k1_relat_1(X0)
| ? [X2] :
( k1_funct_1(X1,X2) != k1_funct_1(X0,X2)
& r2_hidden(X2,k1_relat_1(X0)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
( ~ r6_pboole(sK0,sK1,sK2)
& k1_closure3(sK0,sK1) = k1_closure3(sK0,sK2)
& k7_relat_1(sK1,k1_closure3(sK0,sK1)) = k7_relat_1(sK2,k1_closure3(sK0,sK2))
& v2_relat_1(sK2)
& m1_pboole(sK2,sK0)
& v2_relat_1(sK1)
& m1_pboole(sK1,sK0)
& ~ v1_xboole_0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f67]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_closure3(X0,X1)
| a_2_0_closure3(X0,X1) != X2 )
& ( X2 = a_2_0_closure3(X0,X1)
| k1_closure3(X0,X1) != X2 ) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f78]) ).
fof(f116,plain,
! [X0,X1] :
( ( ( m1_pboole(X1,X0)
| k1_relat_1(X1) != X0 )
& ( k1_relat_1(X1) = X0
| ~ m1_pboole(X1,X0) ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(nnf_transformation,[],[f80]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( X2 = k3_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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK4(X0,X1,X2),X0)
| ~ r2_hidden(sK4(X0,X1,X2),X1)
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( ( r2_hidden(sK4(X0,X1,X2),X0)
& r2_hidden(sK4(X0,X1,X2),X1) )
| r2_hidden(sK4(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) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f119]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(nnf_transformation,[],[f90]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,X1)
& X0 = X4
& k1_xboole_0 != k1_funct_1(X2,X4) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(rectify,[],[f123]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ( m1_subset_1(sK7(X0,X1,X2),X1)
& sK7(X0,X1,X2) = X0
& k1_xboole_0 != k1_funct_1(X2,sK7(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X4,sK7(X0,X1,X2))],[f124]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ( ( r6_pboole(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r6_pboole(X0,X1,X2) ) )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| k1_relat_1(X1) != k1_relat_1(X0)
| ( k1_funct_1(X1,sK22(X0,X1)) != k1_funct_1(X0,sK22(X0,X1))
& r2_hidden(sK22(X0,X1),k1_relat_1(X0)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X2,sK22(X0,X1))],[f110]) ).
fof(f145,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f146,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f148,plain,
m1_pboole(sK2,sK0),
inference(cnf_transformation,[],[f111]) ).
fof(f150,plain,
k7_relat_1(sK1,k1_closure3(sK0,sK1)) = k7_relat_1(sK2,k1_closure3(sK0,sK2)),
inference(cnf_transformation,[],[f111]) ).
fof(f151,plain,
k1_closure3(sK0,sK1) = k1_closure3(sK0,sK2),
inference(cnf_transformation,[],[f111]) ).
fof(f152,plain,
~ r6_pboole(sK0,sK1,sK2),
inference(cnf_transformation,[],[f111]) ).
fof(f164,plain,
! [X2,X0,X1] :
( a_2_0_closure3(X0,X1) = X2
| k1_closure3(X0,X1) != X2
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f166,plain,
! [X0,X1] :
( k1_relat_1(X1) = X0
| ~ m1_pboole(X1,X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f170,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f120]) ).
fof(f175,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| v1_funct_1(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f176,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| v1_relat_1(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f227,plain,
! [X2,X0,X1] :
( r6_pboole(X0,X1,X2)
| X1 != X2
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f230,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f239,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_relat_1(k7_relat_1(X1,X0)) = k3_xboole_0(k1_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f240,plain,
! [X0,X1] :
( k1_relat_1(X1) != k1_relat_1(X0)
| X0 = X1
| r2_hidden(sK22(X0,X1),k1_relat_1(X0))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f241,plain,
! [X0,X1] :
( k1_funct_1(X1,sK22(X0,X1)) != k1_funct_1(X0,sK22(X0,X1))
| k1_relat_1(X1) != k1_relat_1(X0)
| X0 = X1
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f243,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_closure3(X0,X1) = a_2_0_closure3(X0,X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f164]) ).
fof(f245,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k3_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f170]) ).
fof(f248,plain,
! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(equality_resolution,[],[f188]) ).
fof(f250,plain,
! [X2,X0] :
( r6_pboole(X0,X2,X2)
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X2,X0) ),
inference(equality_resolution,[],[f227]) ).
fof(f251,definition,
sF23 = k1_closure3(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f252,plain,
k1_closure3(sK0,sK1) = sF23,
inference(reorient_equations,[],[f251]) ).
fof(f253,definition,
sF24 = k1_closure3(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f254,plain,
k1_closure3(sK0,sK2) = sF24,
inference(reorient_equations,[],[f253]) ).
fof(f255,plain,
sF23 = sF24,
inference(definition_folding,[],[f151,f254,f252]) ).
fof(f256,definition,
sF25 = k7_relat_1(sK1,sF23),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f257,plain,
k7_relat_1(sK1,sF23) = sF25,
inference(reorient_equations,[],[f256]) ).
fof(f258,definition,
sF26 = k7_relat_1(sK2,sF24),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f259,plain,
k7_relat_1(sK2,sF24) = sF26,
inference(reorient_equations,[],[f258]) ).
fof(f260,plain,
sF25 = sF26,
inference(definition_folding,[],[f150,f259,f254,f257,f252]) ).
fof(f261,plain,
! [X2,X0] :
( r6_pboole(X0,X2,X2)
| ~ m1_pboole(X2,X0) ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f262,plain,
! [X0,X1] :
( k1_relat_1(X1) = X0
| ~ m1_pboole(X1,X0)
| ~ v1_funct_1(X1) ),
inference(forward_subsumption_resolution,[],[f166,f176]) ).
fof(f263,plain,
k1_closure3(sK0,sK2) = sF23,
inference(forward_demodulation,[],[f254,f255]) ).
fof(f264,plain,
sF25 = k7_relat_1(sK2,sF24),
inference(forward_demodulation,[],[f259,f260]) ).
fof(f265,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_relat_1(X1) = X0 ),
inference(forward_subsumption_resolution,[],[f262,f175]) ).
fof(f266,plain,
sF25 = k7_relat_1(sK2,sF23),
inference(forward_demodulation,[],[f264,f255]) ).
fof(f267,plain,
sK0 = k1_relat_1(sK2),
inference(resolution,[],[f265,f148]) ).
fof(f268,plain,
sK0 = k1_relat_1(sK1),
inference(resolution,[],[f265,f146]) ).
fof(f269,plain,
( k1_closure3(sK0,sK2) = a_2_0_closure3(sK0,sK2)
| v1_xboole_0(sK0) ),
inference(resolution,[],[f243,f148]) ).
fof(f270,plain,
( k1_closure3(sK0,sK1) = a_2_0_closure3(sK0,sK1)
| v1_xboole_0(sK0) ),
inference(resolution,[],[f243,f146]) ).
fof(f271,plain,
k1_closure3(sK0,sK1) = a_2_0_closure3(sK0,sK1),
inference(forward_subsumption_resolution,[],[f270,f145]) ).
fof(f272,plain,
k1_closure3(sK0,sK2) = a_2_0_closure3(sK0,sK2),
inference(forward_subsumption_resolution,[],[f269,f145]) ).
fof(f273,plain,
sF23 = a_2_0_closure3(sK0,sK1),
inference(forward_demodulation,[],[f271,f252]) ).
fof(f274,plain,
sF23 = a_2_0_closure3(sK0,sK2),
inference(forward_demodulation,[],[f272,f263]) ).
fof(f277,plain,
! [X0] :
( r2_hidden(X0,sF23)
| ~ m1_subset_1(X0,sK0)
| k1_xboole_0 = k1_funct_1(sK1,X0)
| v1_xboole_0(sK0)
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f248,f273]) ).
fof(f278,plain,
! [X0] :
( r2_hidden(X0,sF23)
| ~ m1_subset_1(X0,sK0)
| k1_xboole_0 = k1_funct_1(sK2,X0)
| v1_xboole_0(sK0)
| ~ m1_pboole(sK2,sK0) ),
inference(superposition,[],[f248,f274]) ).
fof(f279,plain,
! [X0] :
( r2_hidden(X0,sF23)
| ~ m1_subset_1(X0,sK0)
| k1_xboole_0 = k1_funct_1(sK2,X0)
| ~ m1_pboole(sK2,sK0) ),
inference(forward_subsumption_resolution,[],[f278,f145]) ).
fof(f280,plain,
! [X0] :
( r2_hidden(X0,sF23)
| ~ m1_subset_1(X0,sK0)
| k1_xboole_0 = k1_funct_1(sK1,X0)
| ~ m1_pboole(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f277,f145]) ).
fof(f281,plain,
! [X0] :
( ~ m1_subset_1(X0,sK0)
| r2_hidden(X0,sF23)
| k1_xboole_0 = k1_funct_1(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f279,f148]) ).
fof(f282,plain,
! [X0] :
( ~ m1_subset_1(X0,sK0)
| r2_hidden(X0,sF23)
| k1_xboole_0 = k1_funct_1(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f280,f146]) ).
fof(f307,plain,
! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF25))
| k1_funct_1(sK2,X0) = k1_funct_1(sF25,X0)
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2) ),
inference(superposition,[],[f236,f266]) ).
fof(f308,plain,
! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF25))
| k1_funct_1(sK1,X0) = k1_funct_1(sF25,X0)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1) ),
inference(superposition,[],[f236,f257]) ).
fof(f310,definition,
( spl27_1
<=> v1_funct_1(sK1) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f311,plain,
( v1_funct_1(sK1)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( ~ v1_funct_1(sK1)
| spl27_1 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl27_2
<=> v1_relat_1(sK1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f315,plain,
( v1_relat_1(sK1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl27_3
<=> ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF25))
| k1_funct_1(sK1,X0) = k1_funct_1(sF25,X0) ) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f319,plain,
( ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF25))
| k1_funct_1(sK1,X0) = k1_funct_1(sF25,X0) )
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f320,plain,
( ~ spl27_1
| ~ spl27_2
| spl27_3 ),
inference(avatar_split_clause,[],[f308,f318,f314,f310]) ).
fof(f322,definition,
( spl27_4
<=> v1_funct_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
fof(f323,plain,
( v1_funct_1(sK2)
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f324,plain,
( ~ v1_funct_1(sK2)
| spl27_4 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f326,definition,
( spl27_5
<=> v1_relat_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f327,plain,
( v1_relat_1(sK2)
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f328,plain,
( ~ v1_relat_1(sK2)
| spl27_5 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f330,definition,
( spl27_6
<=> ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF25))
| k1_funct_1(sK2,X0) = k1_funct_1(sF25,X0) ) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f331,plain,
( ! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sF25))
| k1_funct_1(sK2,X0) = k1_funct_1(sF25,X0) )
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( ~ spl27_4
| ~ spl27_5
| spl27_6 ),
inference(avatar_split_clause,[],[f307,f330,f326,f322]) ).
fof(f339,plain,
v1_relat_1(sK2),
inference(resolution,[],[f176,f148]) ).
fof(f340,plain,
v1_relat_1(sK1),
inference(resolution,[],[f176,f146]) ).
fof(f341,plain,
spl27_2,
inference(avatar_split_clause,[],[f340,f314]) ).
fof(f342,plain,
( $false
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f339,f328]) ).
fof(f343,plain,
spl27_5,
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f344,plain,
( ! [X0] : k1_relat_1(k7_relat_1(sK2,X0)) = k3_xboole_0(k1_relat_1(sK2),X0)
| ~ spl27_5 ),
inference(resolution,[],[f327,f239]) ).
fof(f345,plain,
( ! [X0] : k1_relat_1(k7_relat_1(sK2,X0)) = k3_xboole_0(sK0,X0)
| ~ spl27_5 ),
inference(forward_demodulation,[],[f344,f267]) ).
fof(f346,plain,
( k1_relat_1(sF25) = k3_xboole_0(sK0,sF23)
| ~ spl27_5 ),
inference(superposition,[],[f345,f266]) ).
fof(f361,plain,
v1_funct_1(sK2),
inference(resolution,[],[f175,f148]) ).
fof(f362,plain,
v1_funct_1(sK1),
inference(resolution,[],[f175,f146]) ).
fof(f363,plain,
( $false
| spl27_1 ),
inference(forward_subsumption_resolution,[],[f362,f312]) ).
fof(f364,plain,
spl27_1,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f365,plain,
( $false
| spl27_4 ),
inference(forward_subsumption_resolution,[],[f361,f324]) ).
fof(f366,plain,
spl27_4,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f387,plain,
( ! [X0] :
( r2_hidden(X0,k1_relat_1(sF25))
| ~ r2_hidden(X0,sK0)
| ~ r2_hidden(X0,sF23) )
| ~ spl27_5 ),
inference(superposition,[],[f245,f346]) ).
fof(f390,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sK0)
| k1_funct_1(sK1,X0) = k1_funct_1(sF25,X0) )
| ~ spl27_3
| ~ spl27_5 ),
inference(resolution,[],[f387,f319]) ).
fof(f391,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sK0)
| k1_funct_1(sK2,X0) = k1_funct_1(sF25,X0) )
| ~ spl27_5
| ~ spl27_6 ),
inference(resolution,[],[f387,f331]) ).
fof(f395,plain,
! [X0] :
( k1_relat_1(X0) != sK0
| sK2 = X0
| r2_hidden(sK22(X0,sK2),k1_relat_1(X0))
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(superposition,[],[f240,f267]) ).
fof(f406,plain,
( ! [X0] :
( k1_relat_1(X0) != sK0
| sK2 = X0
| r2_hidden(sK22(X0,sK2),k1_relat_1(X0))
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) )
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f395,f327]) ).
fof(f410,plain,
( ! [X0] :
( k1_relat_1(X0) != sK0
| sK2 = X0
| r2_hidden(sK22(X0,sK2),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) )
| ~ spl27_4
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f406,f323]) ).
fof(f412,plain,
( sK0 != sK0
| sK1 = sK2
| r2_hidden(sK22(sK1,sK2),sK0)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_4
| ~ spl27_5 ),
inference(superposition,[],[f410,f268]) ).
fof(f415,plain,
( sK1 = sK2
| r2_hidden(sK22(sK1,sK2),sK0)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_4
| ~ spl27_5 ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f416,plain,
( sK1 = sK2
| r2_hidden(sK22(sK1,sK2),sK0)
| ~ v1_funct_1(sK1)
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f415,f315]) ).
fof(f417,plain,
( sK1 = sK2
| r2_hidden(sK22(sK1,sK2),sK0)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f416,f311]) ).
fof(f419,definition,
( spl27_7
<=> r2_hidden(sK22(sK1,sK2),sK0) ),
introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).
fof(f421,plain,
( r2_hidden(sK22(sK1,sK2),sK0)
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f423,definition,
( spl27_8
<=> sK1 = sK2 ),
introduced(definition,[new_symbols(definition,[spl27_8])],[avatar_definition]) ).
fof(f424,plain,
( sK1 != sK2
| spl27_8 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( sK1 = sK2
| ~ spl27_8 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f426,plain,
( spl27_7
| spl27_8
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5 ),
inference(avatar_split_clause,[],[f417,f326,f322,f314,f310,f423,f419]) ).
fof(f429,plain,
( ~ r6_pboole(sK0,sK1,sK1)
| ~ spl27_8 ),
inference(superposition,[],[f152,f425]) ).
fof(f438,plain,
( ~ m1_pboole(sK1,sK0)
| ~ spl27_8 ),
inference(resolution,[],[f429,f261]) ).
fof(f439,plain,
( $false
| ~ spl27_8 ),
inference(forward_subsumption_resolution,[],[f438,f146]) ).
fof(f440,plain,
~ spl27_8,
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f443,plain,
( m1_subset_1(sK22(sK1,sK2),sK0)
| ~ spl27_7 ),
inference(resolution,[],[f421,f230]) ).
fof(f444,plain,
( r2_hidden(sK22(sK1,sK2),sF23)
| k1_xboole_0 = k1_funct_1(sK2,sK22(sK1,sK2))
| ~ spl27_7 ),
inference(resolution,[],[f443,f281]) ).
fof(f445,plain,
( r2_hidden(sK22(sK1,sK2),sF23)
| k1_xboole_0 = k1_funct_1(sK1,sK22(sK1,sK2))
| ~ spl27_7 ),
inference(resolution,[],[f443,f282]) ).
fof(f448,definition,
( spl27_9
<=> k1_xboole_0 = k1_funct_1(sK1,sK22(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_9])],[avatar_definition]) ).
fof(f450,plain,
( k1_xboole_0 = k1_funct_1(sK1,sK22(sK1,sK2))
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f452,definition,
( spl27_10
<=> r2_hidden(sK22(sK1,sK2),sF23) ),
introduced(definition,[new_symbols(definition,[spl27_10])],[avatar_definition]) ).
fof(f454,plain,
( r2_hidden(sK22(sK1,sK2),sF23)
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f455,plain,
( spl27_9
| spl27_10
| ~ spl27_7 ),
inference(avatar_split_clause,[],[f445,f419,f452,f448]) ).
fof(f457,definition,
( spl27_11
<=> k1_xboole_0 = k1_funct_1(sK2,sK22(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_11])],[avatar_definition]) ).
fof(f459,plain,
( k1_xboole_0 = k1_funct_1(sK2,sK22(sK1,sK2))
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,plain,
( spl27_11
| spl27_10
| ~ spl27_7 ),
inference(avatar_split_clause,[],[f444,f419,f452,f457]) ).
fof(f461,plain,
( ~ r2_hidden(sK22(sK1,sK2),sK0)
| k1_funct_1(sK1,sK22(sK1,sK2)) = k1_funct_1(sF25,sK22(sK1,sK2))
| ~ spl27_3
| ~ spl27_5
| ~ spl27_10 ),
inference(resolution,[],[f454,f390]) ).
fof(f462,plain,
( ~ r2_hidden(sK22(sK1,sK2),sK0)
| k1_funct_1(sK2,sK22(sK1,sK2)) = k1_funct_1(sF25,sK22(sK1,sK2))
| ~ spl27_5
| ~ spl27_6
| ~ spl27_10 ),
inference(resolution,[],[f454,f391]) ).
fof(f466,plain,
( k1_funct_1(sK2,sK22(sK1,sK2)) = k1_funct_1(sF25,sK22(sK1,sK2))
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f462,f421]) ).
fof(f467,plain,
( k1_funct_1(sK1,sK22(sK1,sK2)) = k1_funct_1(sF25,sK22(sK1,sK2))
| ~ spl27_3
| ~ spl27_5
| ~ spl27_7
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f461,f421]) ).
fof(f468,plain,
( k1_funct_1(sK1,sK22(sK1,sK2)) = k1_funct_1(sK2,sK22(sK1,sK2))
| ~ spl27_3
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_10 ),
inference(forward_demodulation,[],[f467,f466]) ).
fof(f469,plain,
( k1_funct_1(sK1,sK22(sK1,sK2)) != k1_funct_1(sK1,sK22(sK1,sK2))
| k1_relat_1(sK2) != k1_relat_1(sK1)
| sK1 = sK2
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_3
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_10 ),
inference(superposition,[],[f241,f468]) ).
fof(f472,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| sK1 = sK2
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_3
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_10 ),
inference(trivial_inequality_removal,[],[f469]) ).
fof(f475,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_3
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f472,f424]) ).
fof(f488,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_3
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f475,f327]) ).
fof(f489,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f488,f323]) ).
fof(f490,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f489,f315]) ).
fof(f491,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f490,f311]) ).
fof(f492,plain,
( sK0 != k1_relat_1(sK2)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(forward_demodulation,[],[f491,f268]) ).
fof(f493,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f492,f267]) ).
fof(f494,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f501,plain,
( k1_xboole_0 != k1_funct_1(sK1,sK22(sK1,sK2))
| k1_relat_1(sK2) != k1_relat_1(sK1)
| sK1 = sK2
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_11 ),
inference(superposition,[],[f241,f459]) ).
fof(f506,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| sK1 = sK2
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_9
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f501,f450]) ).
fof(f509,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f506,f424]) ).
fof(f512,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_5
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f509,f327]) ).
fof(f513,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ v1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_4
| ~ spl27_5
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f512,f323]) ).
fof(f514,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ v1_funct_1(sK1)
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f513,f315]) ).
fof(f515,plain,
( k1_relat_1(sK2) != k1_relat_1(sK1)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f514,f311]) ).
fof(f516,plain,
( sK0 != k1_relat_1(sK2)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(forward_demodulation,[],[f515,f268]) ).
fof(f517,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f516,f267]) ).
fof(f518,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(avatar_contradiction_clause,[],[f517]) ).
cnf(s1,plain,
( ~ spl27_1
| ~ spl27_2
| spl27_3 ),
inference(sat_conversion,[],[f320]) ).
cnf(s2,plain,
( ~ spl27_4
| ~ spl27_5
| spl27_6 ),
inference(sat_conversion,[],[f332]) ).
cnf(s3,plain,
spl27_2,
inference(sat_conversion,[],[f341]) ).
cnf(s4,plain,
spl27_5,
inference(sat_conversion,[],[f343]) ).
cnf(s5,plain,
spl27_1,
inference(sat_conversion,[],[f364]) ).
cnf(s6,plain,
spl27_4,
inference(sat_conversion,[],[f366]) ).
cnf(s7,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5
| spl27_7
| spl27_8 ),
inference(sat_conversion,[],[f426]) ).
cnf(s8,plain,
~ spl27_8,
inference(sat_conversion,[],[f440]) ).
cnf(s9,plain,
( ~ spl27_7
| spl27_9
| spl27_10 ),
inference(sat_conversion,[],[f455]) ).
cnf(s10,plain,
( ~ spl27_7
| spl27_10
| spl27_11 ),
inference(sat_conversion,[],[f460]) ).
cnf(s13,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| spl27_8
| ~ spl27_10 ),
inference(sat_conversion,[],[f494]) ).
cnf(s16,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5
| spl27_8
| ~ spl27_9
| ~ spl27_11 ),
inference(sat_conversion,[],[f518]) ).
cnf(s17,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_5
| spl27_7 ),
inference(rat,[],[s7,s8]) ).
cnf(s18,plain,
spl27_7,
inference(rat,[],[s17,s4,s5,s6,s3]) ).
cnf(s19,plain,
spl27_6,
inference(rat,[],[s2,s4,s6]) ).
cnf(s20,plain,
spl27_3,
inference(rat,[],[s1,s3,s5]) ).
cnf(s21,plain,
~ spl27_10,
inference(rat,[],[s13,s19,s8,s18,s3,s4,s6,s5,s20]) ).
cnf(s22,plain,
spl27_11,
inference(rat,[],[s10,s18,s21]) ).
cnf(s23,plain,
spl27_9,
inference(rat,[],[s9,s18,s21]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s16,s3,s4,s8,s5,s6,s22,s23]) ).
fof(f519,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG226+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n010.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 19:51:03 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 6.55/1.75 % (2248707)Detected formulas, will run a generic FOF schedule.
% 6.55/1.75 % (2248776)dis-21_1_sil=8000:lcm=predicate:random_seed=367818521: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)
% 6.55/1.75 % (2248776)Instruction limit reached!
% 6.55/1.75 % (2248776)------------------------------
% 6.55/1.75 % (2248776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248776)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248776)Termination reason: Instruction limit
% 6.55/1.75 % (2248776)Termination phase: Saturation
% 6.55/1.75 % (2248776)Time elapsed: 0.043 s
% 6.55/1.75 % (2248776)Peak memory usage: 90 MB
% 6.55/1.75 % (2248776)Instructions burned: 129 (million)
% 6.55/1.75 % (2248775)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2413862845:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.55/1.75 % (2248774)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1533886314:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.55/1.75 % (2248773)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=793671707:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.55/1.75 % (2248770)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=3648354001:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.55/1.75 % (2248771)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=947882813:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.55/1.75 % (2248772)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=3596734896:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.55/1.75 % (2248773)Refutation not found, incomplete strategy
% 6.55/1.75 % (2248773)------------------------------
% 6.55/1.75 % (2248773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248773)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248773)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.75 % (2248773)Time elapsed: 0.003 s
% 6.55/1.75 % (2248773)Peak memory usage: 89 MB
% 6.55/1.75 % (2248773)Instructions burned: 2 (million)
% 6.55/1.75 % (2248774)Instruction limit reached!
% 6.55/1.75 % (2248774)------------------------------
% 6.55/1.75 % (2248774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248774)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248774)Termination reason: Instruction limit
% 6.55/1.75 % (2248774)Termination phase: Saturation
% 6.55/1.75 % (2248774)Time elapsed: 0.071 s
% 6.55/1.75 % (2248774)Peak memory usage: 88 MB
% 6.55/1.75 % (2248774)Instructions burned: 120 (million)
% 6.55/1.75 % (2248784)lrs+10_1_sil=8000:sp=occurrence:random_seed=570838939:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.55/1.75 % (2248775)Instruction limit reached!
% 6.55/1.75 % (2248775)------------------------------
% 6.55/1.75 % (2248775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248775)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248775)Termination reason: Instruction limit
% 6.55/1.75 % (2248775)Termination phase: Saturation
% 6.55/1.75 % (2248775)Time elapsed: 0.098 s
% 6.55/1.75 % (2248775)Peak memory usage: 90 MB
% 6.55/1.75 % (2248775)Instructions burned: 139 (million)
% 6.55/1.75 % (2248784)Instruction limit reached!
% 6.55/1.75 % (2248784)------------------------------
% 6.55/1.75 % (2248784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248784)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248784)Termination reason: Instruction limit
% 6.55/1.75 % (2248784)Termination phase: Saturation
% 6.55/1.75 % (2248784)Time elapsed: 0.093 s
% 6.55/1.75 % (2248784)Peak memory usage: 91 MB
% 6.55/1.75 % (2248784)Instructions burned: 287 (million)
% 6.55/1.75 % (2248785)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2707521980:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.55/1.75 % (2248787)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2137892919:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.55/1.75 % (2248773)------------------------------
% 6.55/1.75 % (2248773)------------------------------
% 6.55/1.75 % (2248788)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=3984969814:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.55/1.75 % (2248785)Instruction limit reached!
% 6.55/1.75 % (2248785)------------------------------
% 6.55/1.75 % (2248785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248785)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248785)Termination reason: Instruction limit
% 6.55/1.75 % (2248785)Termination phase: Saturation
% 6.55/1.75 % (2248785)Time elapsed: 0.086 s
% 6.55/1.75 % (2248785)Peak memory usage: 89 MB
% 6.55/1.75 % (2248785)Instructions burned: 158 (million)
% 6.55/1.75 % (2248788)Instruction limit reached!
% 6.55/1.75 % (2248788)------------------------------
% 6.55/1.75 % (2248788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248788)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248788)Termination reason: Instruction limit
% 6.55/1.75 % (2248788)Termination phase: Saturation
% 6.55/1.75 % (2248788)Time elapsed: 0.078 s
% 6.55/1.75 % (2248788)Peak memory usage: 92 MB
% 6.55/1.75 % (2248788)Instructions burned: 249 (million)
% 6.55/1.75 % (2248791)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2736178075:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.55/1.75 % (2248793)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=66073023:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.55/1.75 % (2248794)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1127822486:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.55/1.75 % (2248787)Instruction limit reached!
% 6.55/1.75 % (2248787)------------------------------
% 6.55/1.75 % (2248787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248787)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248787)Termination reason: Instruction limit
% 6.55/1.75 % (2248787)Termination phase: Saturation
% 6.55/1.75 % (2248787)Time elapsed: 0.209 s
% 6.55/1.75 % (2248787)Peak memory usage: 92 MB
% 6.55/1.75 % (2248787)Instructions burned: 325 (million)
% 6.55/1.75 % (2248794)Instruction limit reached!
% 6.55/1.75 % (2248794)------------------------------
% 6.55/1.75 % (2248794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248794)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248794)Termination reason: Instruction limit
% 6.55/1.75 % (2248794)Termination phase: Saturation
% 6.55/1.75 % (2248794)Time elapsed: 0.044 s
% 6.55/1.75 % (2248794)Peak memory usage: 90 MB
% 6.55/1.75 % (2248794)Instructions burned: 115 (million)
% 6.55/1.75 % (2248799)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1310198878:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.55/1.75 % (2248791)Instruction limit reached!
% 6.55/1.75 % (2248791)------------------------------
% 6.55/1.75 % (2248791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248791)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248791)Termination reason: Instruction limit
% 6.55/1.75 % (2248791)Termination phase: Saturation
% 6.55/1.75 % (2248791)Time elapsed: 0.176 s
% 6.55/1.75 % (2248791)Peak memory usage: 90 MB
% 6.55/1.75 % (2248791)Instructions burned: 295 (million)
% 6.55/1.75 % (2248798)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2389093207:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.55/1.75 % (2248799)Instruction limit reached!
% 6.55/1.75 % (2248799)------------------------------
% 6.55/1.75 % (2248799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248799)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248799)Termination reason: Instruction limit
% 6.55/1.75 % (2248799)Termination phase: Saturation
% 6.55/1.75 % (2248799)Time elapsed: 0.039 s
% 6.55/1.75 % (2248799)Peak memory usage: 89 MB
% 6.55/1.75 % (2248799)Instructions burned: 115 (million)
% 6.55/1.75 % (2248798)Instruction limit reached!
% 6.55/1.75 % (2248798)------------------------------
% 6.55/1.75 % (2248798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248798)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248798)Termination reason: Instruction limit
% 6.55/1.75 % (2248798)Termination phase: Saturation
% 6.55/1.75 % (2248798)Time elapsed: 0.067 s
% 6.55/1.75 % (2248798)Peak memory usage: 89 MB
% 6.55/1.75 % (2248798)Instructions burned: 129 (million)
% 6.55/1.75 % (2248770)First to succeed.
% 6.55/1.75 % (2248770)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2248707"
% 6.55/1.75 % (2248803)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=42780580:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.55/1.75 % (2248801)lrs+10_1_sil=8000:sp=occurrence:random_seed=783592135:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.55/1.75 % (2248804)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=460705424:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.55/1.75 % (2248803)Instruction limit reached!
% 6.55/1.75 % (2248803)------------------------------
% 6.55/1.75 % (2248803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.75 % (2248803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.75 % (2248803)CaDiCaL version: 2.1.3
% 6.55/1.75 % (2248803)Termination reason: Instruction limit
% 6.55/1.75 % (2248803)Termination phase: Saturation
% 6.55/1.75 % (2248803)Time elapsed: 0.142 s
% 6.55/1.75 % (2248803)Peak memory usage: 92 MB
% 6.55/1.75 % (2248803)Instructions burned: 440 (million)
% 6.55/1.75 % (2248770)Refutation found. Thanks to Tanya!
% 6.55/1.75 % SZS status Theorem for theBenchmark
% 6.55/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 8.21/1.94 % (2248770)------------------------------
% 8.21/1.94 % (2248770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.21/1.94 % (2248770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/1.94 % (2248770)CaDiCaL version: 2.1.3
% 8.21/1.94 % (2248770)Termination reason: Refutation
% 8.21/1.94 % (2248770)Time elapsed: 0.661 s
% 8.21/1.94 % (2248770)Peak memory usage: 129 MB
% 8.21/1.94 % (2248770)Instructions burned: 981 (million)
% 8.21/1.94 % (2248770)------------------------------
% 8.21/1.94 % (2248770)------------------------------
% 8.21/1.94 % (2248707)Success in time 1.07 s
% 8.21/1.94 % Vampire exiting
%------------------------------------------------------------------------------