%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX212+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:46:11 PM UTC 2026
% Result : Theorem 76.13s 16.63s
% Output : Refutation 113.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 93
% Syntax : Number of formulae : 472 ( 126 unt; 64 def)
% Number of atoms : 1422 ( 421 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1617 ( 667 ~; 851 |; 12 &)
% ( 69 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 68 ( 66 usr; 65 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-2 aty)
% Number of variables : 628 ( 0 sgn 622 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
nil2 != eps,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(f14,axiom,
! [X0] : nil2 != atom(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014) ).
fof(f15,axiom,
! [X0,X1] : nil2 != x(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
fof(f16,axiom,
! [X0,X1] : nil2 != y(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f17,axiom,
! [X0] : nil2 != star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).
fof(f18,axiom,
! [X0] : eps != atom(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_018) ).
fof(f19,axiom,
! [X0,X1] : eps != x(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
fof(f20,axiom,
! [X0,X1] : eps != y(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).
fof(f21,axiom,
! [X0] : eps != star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_021) ).
fof(f22,axiom,
! [X0,X1,X2] : atom(X0) != x(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).
fof(f23,axiom,
! [X0,X1,X2] : atom(X0) != y(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_023) ).
fof(f24,axiom,
! [X0,X1] : atom(X0) != star(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_024) ).
fof(f26,axiom,
! [X0,X1,X2] : x(X0,X1) != star(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_026) ).
fof(f28,axiom,
! [X0,X1] :
( X0 != nil2
=> ( X1 != nil2
=> ( X0 != eps
=> ( X1 != eps
=> z(X0,X1) = y(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_028) ).
fof(f32,axiom,
! [X0] : z(nil2,X0) = nil2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_032) ).
fof(f36,axiom,
! [X0] :
( X0 != eps
=> ( X0 != x(proj1(X0),proj2(X0))
=> ( X0 != y(proj12(X0),proj22(X0))
=> ( X0 != star(proj1Star(X0))
=> ~ eps2(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_036) ).
fof(f37,axiom,
eps2(eps),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_037) ).
fof(f38,axiom,
! [X0,X1] :
( eps2(x(X0,X1))
<=> ( eps2(X0)
| eps2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_038) ).
fof(f39,axiom,
! [X0,X1] :
( eps2(y(X0,X1))
<=> ( eps2(X0)
& eps2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_039) ).
fof(f41,axiom,
! [X0,X1] :
( X0 != atom(proj1Atom(X0))
=> ( X0 != x(proj1(X0),proj2(X0))
=> ( X0 != y(proj12(X0),proj22(X0))
=> ( X0 != star(proj1Star(X0))
=> step(X0,X1) = nil2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_041) ).
fof(f42,axiom,
! [X0,X1] :
( X1 = X0
=> step(atom(X1),X0) = eps ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_042) ).
fof(f43,axiom,
! [X0,X1] :
( X1 != X0
=> step(atom(X1),X0) = nil2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_043) ).
fof(f44,axiom,
! [X0,X1,X2] : step(x(X1,X2),X0) = x(step(X1,X0),step(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_044) ).
fof(f45,axiom,
! [X0,X1,X2] :
( eps2(X1)
=> step(y(X1,X2),X0) = x(y(step(X1,X0),X2),step(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_045) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ~ eps2(X1)
=> step(y(X1,X2),X0) = x(y(step(X1,X0),X2),nil2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_046) ).
fof(f47,axiom,
! [X0,X1] : step(star(X1),X0) = y(step(X1,X0),star(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_047) ).
fof(f48,axiom,
! [X0] :
( rec(X0,nil)
<=> eps2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_048) ).
fof(f49,axiom,
! [X0,X1,X2] :
( rec(X0,cons(X1,X2))
<=> rec(step(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_049) ).
fof(f50,conjecture,
? [X0,X1,X2] :
( rec(y(X0,X1),X2)
<~> rec(y(X1,X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_050) ).
fof(f51,negated_conjecture,
~ ? [X0,X1,X2] :
( rec(y(X0,X1),X2)
<~> rec(y(X1,X0),X2) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( z(X0,X1) = y(X0,X1)
| eps = X1
| eps = X0
| nil2 = X1
| nil2 = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f53,plain,
! [X0,X1] :
( z(X0,X1) = y(X0,X1)
| eps = X1
| eps = X0
| nil2 = X1
| nil2 = X0 ),
inference(flattening,[],[f52]) ).
fof(f61,plain,
! [X0] :
( ~ eps2(X0)
| star(proj1Star(X0)) = X0
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| eps = X0 ),
inference(ennf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0] :
( ~ eps2(X0)
| star(proj1Star(X0)) = X0
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| eps = X0 ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( step(X0,X1) = nil2
| star(proj1Star(X0)) = X0
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f64,plain,
! [X0,X1] :
( step(X0,X1) = nil2
| star(proj1Star(X0)) = X0
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( step(atom(X1),X0) = eps
| X0 != X1 ),
inference(ennf_transformation,[],[f42]) ).
fof(f66,plain,
! [X0,X1] :
( step(atom(X1),X0) = nil2
| X0 = X1 ),
inference(ennf_transformation,[],[f43]) ).
fof(f67,plain,
! [X0,X1,X2] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),step(X2,X0))
| ~ eps2(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f68,plain,
! [X0,X1,X2] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),nil2)
| eps2(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f69,plain,
! [X0,X1,X2] :
( rec(y(X0,X1),X2)
<=> rec(y(X1,X0),X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f70,plain,
! [X0,X1] :
( ( eps2(x(X0,X1))
| ( ~ eps2(X0)
& ~ eps2(X1) ) )
& ( eps2(X0)
| eps2(X1)
| ~ eps2(x(X0,X1)) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f71,plain,
! [X0,X1] :
( ( eps2(x(X0,X1))
| ( ~ eps2(X0)
& ~ eps2(X1) ) )
& ( eps2(X0)
| eps2(X1)
| ~ eps2(x(X0,X1)) ) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ( eps2(y(X0,X1))
| ~ eps2(X0)
| ~ eps2(X1) )
& ( ( eps2(X0)
& eps2(X1) )
| ~ eps2(y(X0,X1)) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f73,plain,
! [X0,X1] :
( ( eps2(y(X0,X1))
| ~ eps2(X0)
| ~ eps2(X1) )
& ( ( eps2(X0)
& eps2(X1) )
| ~ eps2(y(X0,X1)) ) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ( rec(X0,nil)
| ~ eps2(X0) )
& ( eps2(X0)
| ~ rec(X0,nil) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( rec(X0,cons(X1,X2))
| ~ rec(step(X0,X1),X2) )
& ( rec(step(X0,X1),X2)
| ~ rec(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( rec(y(X0,X1),X2)
| ~ rec(y(X1,X0),X2) )
& ( rec(y(X1,X0),X2)
| ~ rec(y(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f89,plain,
nil2 != eps,
inference(cnf_transformation,[],[f13]) ).
fof(f90,plain,
! [X0] : atom(X0) != nil2,
inference(cnf_transformation,[],[f14]) ).
fof(f91,plain,
! [X0,X1] : x(X0,X1) != nil2,
inference(cnf_transformation,[],[f15]) ).
fof(f92,plain,
! [X0,X1] : y(X0,X1) != nil2,
inference(cnf_transformation,[],[f16]) ).
fof(f93,plain,
! [X0] : star(X0) != nil2,
inference(cnf_transformation,[],[f17]) ).
fof(f94,plain,
! [X0] : atom(X0) != eps,
inference(cnf_transformation,[],[f18]) ).
fof(f95,plain,
! [X0,X1] : x(X0,X1) != eps,
inference(cnf_transformation,[],[f19]) ).
fof(f96,plain,
! [X0,X1] : y(X0,X1) != eps,
inference(cnf_transformation,[],[f20]) ).
fof(f97,plain,
! [X0] : star(X0) != eps,
inference(cnf_transformation,[],[f21]) ).
fof(f98,plain,
! [X2,X0,X1] : atom(X0) != x(X1,X2),
inference(cnf_transformation,[],[f22]) ).
fof(f99,plain,
! [X2,X0,X1] : atom(X0) != y(X1,X2),
inference(cnf_transformation,[],[f23]) ).
fof(f100,plain,
! [X0,X1] : atom(X0) != star(X1),
inference(cnf_transformation,[],[f24]) ).
fof(f102,plain,
! [X2,X0,X1] : x(X0,X1) != star(X2),
inference(cnf_transformation,[],[f26]) ).
fof(f104,plain,
! [X0,X1] :
( y(X0,X1) = z(X0,X1)
| eps = X1
| eps = X0
| nil2 = X1
| nil2 = X0 ),
inference(cnf_transformation,[],[f53]) ).
fof(f108,plain,
! [X0] : nil2 = z(nil2,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f112,plain,
! [X0] :
( ~ eps2(X0)
| star(proj1Star(X0)) = X0
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| eps = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f113,plain,
eps2(eps),
inference(cnf_transformation,[],[f37]) ).
fof(f114,plain,
! [X0,X1] :
( eps2(X0)
| eps2(X1)
| ~ eps2(x(X0,X1)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f115,plain,
! [X0,X1] :
( eps2(x(X0,X1))
| ~ eps2(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f116,plain,
! [X0,X1] :
( eps2(x(X0,X1))
| ~ eps2(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f118,plain,
! [X0,X1] :
( eps2(X0)
| ~ eps2(y(X0,X1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f121,plain,
! [X0,X1] :
( nil2 = step(X0,X1)
| star(proj1Star(X0)) = X0
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f122,plain,
! [X0,X1] :
( eps = step(atom(X1),X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f65]) ).
fof(f123,plain,
! [X0,X1] :
( nil2 = step(atom(X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f124,plain,
! [X2,X0,X1] : step(x(X1,X2),X0) = x(step(X1,X0),step(X2,X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f125,plain,
! [X2,X0,X1] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),step(X2,X0))
| ~ eps2(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f126,plain,
! [X2,X0,X1] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),nil2)
| eps2(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f127,plain,
! [X0,X1] : step(star(X1),X0) = y(step(X1,X0),star(X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f128,plain,
! [X0] :
( eps2(X0)
| ~ rec(X0,nil) ),
inference(cnf_transformation,[],[f74]) ).
fof(f129,plain,
! [X0] :
( rec(X0,nil)
| ~ eps2(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f130,plain,
! [X2,X0,X1] :
( rec(step(X0,X1),X2)
| ~ rec(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f131,plain,
! [X2,X0,X1] :
( rec(X0,cons(X1,X2))
| ~ rec(step(X0,X1),X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f132,plain,
! [X2,X0,X1] :
( rec(y(X1,X0),X2)
| ~ rec(y(X0,X1),X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f134,plain,
! [X1] : eps = step(atom(X1),X1),
inference(equality_resolution,[],[f122]) ).
fof(f136,definition,
( spl0_1
<=> ! [X2,X0,X1] :
( rec(y(X1,X0),X2)
| ~ rec(y(X0,X1),X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f137,plain,
( ! [X2,X0,X1] :
( ~ rec(y(X0,X1),X2)
| rec(y(X1,X0),X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
spl0_1,
inference(avatar_split_clause,[],[f132,f136]) ).
fof(f140,plain,
( ! [X2,X3,X0,X1] :
( rec(y(X0,X1),cons(X2,X3))
| ~ rec(step(y(X1,X0),X2),X3) )
| ~ spl0_1 ),
inference(resolution,[],[f137,f131]) ).
fof(f158,definition,
( spl0_3
<=> ! [X0,X3,X2,X1] :
( rec(y(X0,X1),cons(X2,X3))
| ~ rec(step(y(X1,X0),X2),X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f159,plain,
( ! [X2,X3,X0,X1] :
( ~ rec(step(y(X1,X0),X2),X3)
| rec(y(X0,X1),cons(X2,X3)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f140,f136,f158]) ).
fof(f582,definition,
( spl0_32
<=> eps2(nil2) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f583,plain,
( eps2(nil2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f584,plain,
( ~ eps2(nil2)
| spl0_32 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f589,plain,
( ! [X0] : ~ eps2(y(nil2,X0))
| spl0_32 ),
inference(resolution,[],[f584,f118]) ).
fof(f603,definition,
( spl0_33
<=> ! [X0] : ~ eps2(y(nil2,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f604,plain,
( ! [X0] : ~ eps2(y(nil2,X0))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f605,plain,
( spl0_33
| spl0_32 ),
inference(avatar_split_clause,[],[f589,f582,f603]) ).
fof(f778,definition,
( spl0_35
<=> eps2(eps) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f780,plain,
( eps2(eps)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f781,plain,
spl0_35,
inference(avatar_split_clause,[],[f113,f778]) ).
fof(f794,plain,
( ! [X0,X1] : step(y(eps,X0),X1) = x(y(step(eps,X1),X0),step(X0,X1))
| ~ spl0_35 ),
inference(resolution,[],[f780,f125]) ).
fof(f851,definition,
( spl0_39
<=> ! [X0,X1] :
( eps2(x(X0,X1))
| ~ eps2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f852,plain,
( ! [X0,X1] :
( eps2(x(X0,X1))
| ~ eps2(X0) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f853,plain,
spl0_39,
inference(avatar_split_clause,[],[f116,f851]) ).
fof(f855,definition,
( spl0_40
<=> ! [X0,X1] :
( eps2(x(X0,X1))
| ~ eps2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f856,plain,
( ! [X0,X1] :
( eps2(x(X0,X1))
| ~ eps2(X1) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f857,plain,
spl0_40,
inference(avatar_split_clause,[],[f115,f855]) ).
fof(f877,plain,
( ! [X2,X0,X1] :
( eps2(step(x(X0,X1),X2))
| ~ eps2(step(X0,X2)) )
| ~ spl0_39 ),
inference(superposition,[],[f852,f124]) ).
fof(f1040,definition,
( spl0_44
<=> ! [X2,X0,X1] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),nil2)
| eps2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f1041,plain,
( ! [X2,X0,X1] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),nil2)
| eps2(X1) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1042,plain,
spl0_44,
inference(avatar_split_clause,[],[f126,f1040]) ).
fof(f1044,plain,
( ! [X0,X1] :
( step(y(atom(X0),X1),X0) = x(y(eps,X1),nil2)
| eps2(atom(X0)) )
| ~ spl0_44 ),
inference(superposition,[],[f1041,f134]) ).
fof(f1045,plain,
( ! [X2,X0,X1] :
( step(y(atom(X2),X0),X1) = x(y(nil2,X0),nil2)
| eps2(atom(X2))
| X1 = X2 )
| ~ spl0_44 ),
inference(superposition,[],[f1041,f123]) ).
fof(f1047,plain,
( ! [X2,X3,X0,X1,X4] :
( step(y(X2,X0),X1) = x(y(step(X2,X1),X0),X3)
| eps2(X2)
| y(X3,X4) = z(X3,X4)
| eps = X4
| eps = X3
| nil2 = X4 )
| ~ spl0_44 ),
inference(superposition,[],[f1041,f104]) ).
fof(f1061,plain,
( ! [X2,X3,X0,X1] :
( step(y(X2,X0),X1) != star(X3)
| eps2(X2) )
| ~ spl0_44 ),
inference(superposition,[],[f102,f1041]) ).
fof(f1066,definition,
( spl0_45
<=> ! [X0,X1] :
( step(y(atom(X0),X1),X0) = x(y(eps,X1),nil2)
| eps2(atom(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f1067,plain,
( ! [X0,X1] :
( step(y(atom(X0),X1),X0) = x(y(eps,X1),nil2)
| eps2(atom(X0)) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1068,plain,
( spl0_45
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1044,f1040,f1066]) ).
fof(f1072,plain,
( ! [X2,X0,X1] :
( ~ rec(x(y(eps,X0),nil2),X1)
| rec(y(X0,atom(X2)),cons(X2,X1))
| eps2(atom(X2)) )
| ~ spl0_3
| ~ spl0_45 ),
inference(superposition,[],[f159,f1067]) ).
fof(f1116,definition,
( spl0_46
<=> ! [X0] :
( rec(X0,nil)
| ~ eps2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f1117,plain,
( ! [X0] :
( rec(X0,nil)
| ~ eps2(X0) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1118,plain,
spl0_46,
inference(avatar_split_clause,[],[f129,f1116]) ).
fof(f1349,plain,
( ! [X0,X1] :
( ~ eps2(step(X0,X1))
| rec(X0,cons(X1,nil)) )
| ~ spl0_46 ),
inference(resolution,[],[f1117,f131]) ).
fof(f1353,definition,
( spl0_59
<=> ! [X0,X1] :
( ~ eps2(step(X0,X1))
| rec(X0,cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f1354,plain,
( ! [X0,X1] :
( rec(X0,cons(X1,nil))
| ~ eps2(step(X0,X1)) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1355,plain,
( spl0_59
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1349,f1116,f1353]) ).
fof(f1448,definition,
( spl0_65
<=> ! [X0,X1] :
( eps2(X0)
| eps2(X1)
| ~ eps2(x(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f1449,plain,
( ! [X0,X1] :
( ~ eps2(x(X0,X1))
| eps2(X1)
| eps2(X0) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1450,plain,
spl0_65,
inference(avatar_split_clause,[],[f114,f1448]) ).
fof(f1459,plain,
( ! [X2,X0,X1] :
( ~ eps2(step(x(X0,X1),X2))
| eps2(step(X1,X2))
| eps2(step(X0,X2)) )
| ~ spl0_65 ),
inference(superposition,[],[f1449,f124]) ).
fof(f1461,plain,
( ! [X2,X0,X1] :
( ~ eps2(step(y(X2,X0),X1))
| eps2(nil2)
| eps2(y(step(X2,X1),X0))
| eps2(X2) )
| ~ spl0_44
| ~ spl0_65 ),
inference(superposition,[],[f1449,f1041]) ).
fof(f1465,plain,
( ! [X2,X0,X1] :
( ~ eps2(step(y(X2,X0),X1))
| eps2(y(step(X2,X1),X0))
| eps2(X2) )
| spl0_32
| ~ spl0_44
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1461,f584]) ).
fof(f1524,definition,
( spl0_68
<=> ! [X0,X3,X2,X1] :
( step(y(X2,X0),X1) != star(X3)
| eps2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f1525,plain,
( ! [X2,X3,X0,X1] :
( step(y(X2,X0),X1) != star(X3)
| eps2(X2) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1526,plain,
( spl0_68
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1061,f1040,f1524]) ).
fof(f1538,definition,
( spl0_69
<=> ! [X2,X0,X1] :
( ~ rec(x(y(eps,X0),nil2),X1)
| rec(y(X0,atom(X2)),cons(X2,X1))
| eps2(atom(X2)) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f1539,plain,
( ! [X2,X0,X1] :
( rec(y(X0,atom(X2)),cons(X2,X1))
| ~ rec(x(y(eps,X0),nil2),X1)
| eps2(atom(X2)) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1540,plain,
( spl0_69
| ~ spl0_3
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1072,f1066,f158,f1538]) ).
fof(f1542,plain,
( ! [X2,X0,X1] :
( ~ rec(x(y(eps,X0),nil2),X1)
| eps2(atom(X2))
| rec(step(y(X0,atom(X2)),X2),X1) )
| ~ spl0_69 ),
inference(resolution,[],[f1539,f130]) ).
fof(f1908,plain,
( nil2 = star(proj1Star(nil2))
| nil2 = y(proj12(nil2),proj22(nil2))
| nil2 = x(proj1(nil2),proj2(nil2))
| nil2 = eps
| ~ spl0_32 ),
inference(resolution,[],[f583,f112]) ).
fof(f1918,plain,
( nil2 = y(proj12(nil2),proj22(nil2))
| nil2 = x(proj1(nil2),proj2(nil2))
| nil2 = eps
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1908,f93]) ).
fof(f1919,plain,
( nil2 = x(proj1(nil2),proj2(nil2))
| nil2 = eps
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1918,f92]) ).
fof(f1920,plain,
( nil2 = eps
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1919,f91]) ).
fof(f1921,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1920,f89]) ).
fof(f1922,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f1921]) ).
fof(f2334,definition,
( spl0_72
<=> ! [X0,X1] : step(y(eps,X0),X1) = x(y(step(eps,X1),X0),step(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f2335,plain,
( ! [X0,X1] : step(y(eps,X0),X1) = x(y(step(eps,X1),X0),step(X0,X1))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f2334]) ).
fof(f2336,plain,
( spl0_72
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f794,f778,f2334]) ).
fof(f2344,plain,
( ! [X0] : step(y(eps,atom(X0)),X0) = x(y(step(eps,X0),atom(X0)),eps)
| ~ spl0_72 ),
inference(superposition,[],[f2335,f134]) ).
fof(f2403,definition,
( spl0_76
<=> ! [X0] : step(y(eps,atom(X0)),X0) = x(y(step(eps,X0),atom(X0)),eps) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f2404,plain,
( ! [X0] : step(y(eps,atom(X0)),X0) = x(y(step(eps,X0),atom(X0)),eps)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f2405,plain,
( spl0_76
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f2344,f2334,f2403]) ).
fof(f2406,plain,
( ! [X0] :
( step(y(eps,atom(X0)),X0) = x(y(nil2,atom(X0)),eps)
| eps = star(proj1Star(eps))
| eps = y(proj12(eps),proj22(eps))
| eps = x(proj1(eps),proj2(eps))
| eps = atom(proj1Atom(eps)) )
| ~ spl0_76 ),
inference(superposition,[],[f2404,f121]) ).
fof(f2420,plain,
( ! [X0] :
( eps2(step(y(eps,atom(X0)),X0))
| ~ eps2(eps) )
| ~ spl0_40
| ~ spl0_76 ),
inference(superposition,[],[f856,f2404]) ).
fof(f2422,plain,
( ! [X0] : eps2(step(y(eps,atom(X0)),X0))
| ~ spl0_35
| ~ spl0_40
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2420,f780]) ).
fof(f2424,plain,
( ! [X0] :
( step(y(eps,atom(X0)),X0) = x(y(nil2,atom(X0)),eps)
| eps = y(proj12(eps),proj22(eps))
| eps = x(proj1(eps),proj2(eps))
| eps = atom(proj1Atom(eps)) )
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2406,f97]) ).
fof(f2425,plain,
( ! [X0] :
( step(y(eps,atom(X0)),X0) = x(y(nil2,atom(X0)),eps)
| eps = x(proj1(eps),proj2(eps))
| eps = atom(proj1Atom(eps)) )
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2424,f96]) ).
fof(f2426,plain,
( ! [X0] :
( step(y(eps,atom(X0)),X0) = x(y(nil2,atom(X0)),eps)
| eps = atom(proj1Atom(eps)) )
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2425,f95]) ).
fof(f2427,plain,
( ! [X0] : step(y(eps,atom(X0)),X0) = x(y(nil2,atom(X0)),eps)
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2426,f94]) ).
fof(f2429,definition,
( spl0_77
<=> ! [X0] : eps2(step(y(eps,atom(X0)),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f2430,plain,
( ! [X0] : eps2(step(y(eps,atom(X0)),X0))
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f2431,plain,
( spl0_77
| ~ spl0_35
| ~ spl0_40
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2422,f2403,f855,f778,f2429]) ).
fof(f2432,plain,
( ! [X0] : eps2(x(y(nil2,atom(X0)),eps))
| ~ spl0_76
| ~ spl0_77 ),
inference(forward_demodulation,[],[f2430,f2427]) ).
fof(f2693,definition,
( spl0_88
<=> ! [X0] :
( eps = X0
| nil2 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f2694,plain,
( ! [X0] :
( eps = X0
| nil2 = X0 )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f2693]) ).
fof(f3490,definition,
( spl0_102
<=> ! [X0,X1] : atom(X0) != star(X1) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f3491,plain,
( ! [X0,X1] : atom(X0) != star(X1)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f3490]) ).
fof(f3492,plain,
spl0_102,
inference(avatar_split_clause,[],[f100,f3490]) ).
fof(f3507,definition,
( spl0_103
<=> ! [X2,X0,X1] : x(X0,X1) != star(X2) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f3508,plain,
( ! [X2,X0,X1] : x(X0,X1) != star(X2)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f3507]) ).
fof(f3509,plain,
spl0_103,
inference(avatar_split_clause,[],[f102,f3507]) ).
fof(f3540,definition,
( spl0_105
<=> ! [X0] : star(X0) != eps ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f3541,plain,
( ! [X0] : star(X0) != eps
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f3540]) ).
fof(f3542,plain,
spl0_105,
inference(avatar_split_clause,[],[f97,f3540]) ).
fof(f3552,definition,
( spl0_106
<=> ! [X2,X0,X1] : atom(X0) != y(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f3553,plain,
( ! [X2,X0,X1] : atom(X0) != y(X1,X2)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f3552]) ).
fof(f3554,plain,
spl0_106,
inference(avatar_split_clause,[],[f99,f3552]) ).
fof(f3556,definition,
( spl0_107
<=> ! [X0] : star(X0) != nil2 ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f3557,plain,
( ! [X0] : star(X0) != nil2
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f3556]) ).
fof(f3558,plain,
spl0_107,
inference(avatar_split_clause,[],[f93,f3556]) ).
fof(f3617,definition,
( spl0_109
<=> ! [X2,X0,X1] : atom(X0) != x(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f3618,plain,
( ! [X2,X0,X1] : atom(X0) != x(X1,X2)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f3617]) ).
fof(f3619,plain,
spl0_109,
inference(avatar_split_clause,[],[f98,f3617]) ).
fof(f3691,definition,
( spl0_110
<=> nil2 = eps ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f3693,plain,
( nil2 != eps
| spl0_110 ),
inference(avatar_component_clause,[],[f3691]) ).
fof(f3694,plain,
~ spl0_110,
inference(avatar_split_clause,[],[f89,f3691]) ).
fof(f3696,definition,
( spl0_111
<=> ! [X0,X1] : y(X0,X1) != nil2 ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f3697,plain,
( ! [X0,X1] : y(X0,X1) != nil2
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f3696]) ).
fof(f3698,plain,
spl0_111,
inference(avatar_split_clause,[],[f92,f3696]) ).
fof(f3729,definition,
( spl0_112
<=> ! [X0] : atom(X0) != nil2 ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f3730,plain,
( ! [X0] : atom(X0) != nil2
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f3729]) ).
fof(f3731,plain,
spl0_112,
inference(avatar_split_clause,[],[f90,f3729]) ).
fof(f3768,definition,
( spl0_113
<=> ! [X0,X1] : x(X0,X1) != eps ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f3769,plain,
( ! [X0,X1] : x(X0,X1) != eps
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f3768]) ).
fof(f3770,plain,
spl0_113,
inference(avatar_split_clause,[],[f95,f3768]) ).
fof(f3772,definition,
( spl0_114
<=> ! [X0] : atom(X0) != eps ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f3773,plain,
( ! [X0] : atom(X0) != eps
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f3772]) ).
fof(f3774,plain,
spl0_114,
inference(avatar_split_clause,[],[f94,f3772]) ).
fof(f3776,definition,
( spl0_115
<=> ! [X0,X1] : x(X0,X1) != nil2 ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f3777,plain,
( ! [X0,X1] : x(X0,X1) != nil2
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f3776]) ).
fof(f3778,plain,
spl0_115,
inference(avatar_split_clause,[],[f91,f3776]) ).
fof(f3796,definition,
( spl0_116
<=> ! [X0,X1] : y(X0,X1) != eps ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f3797,plain,
( ! [X0,X1] : y(X0,X1) != eps
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f3796]) ).
fof(f3798,plain,
spl0_116,
inference(avatar_split_clause,[],[f96,f3796]) ).
fof(f3799,plain,
( ! [X0,X1] :
( eps != X0
| nil2 = step(X0,X1)
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 )
| ~ spl0_105 ),
inference(superposition,[],[f3541,f121]) ).
fof(f3880,plain,
( ! [X0,X1] :
( nil2 != X0
| nil2 = step(X0,X1)
| star(proj1Star(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 )
| ~ spl0_111 ),
inference(superposition,[],[f3697,f121]) ).
fof(f3932,definition,
( spl0_122
<=> ! [X2,X0,X1] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),step(X2,X0))
| ~ eps2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f3933,plain,
( ! [X2,X0,X1] :
( step(y(X1,X2),X0) = x(y(step(X1,X0),X2),step(X2,X0))
| ~ eps2(X1) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f3932]) ).
fof(f3934,plain,
spl0_122,
inference(avatar_split_clause,[],[f125,f3932]) ).
fof(f3951,plain,
( ! [X2,X3,X0,X1] :
( step(y(X2,X0),X1) != star(X3)
| ~ eps2(X2) )
| ~ spl0_103
| ~ spl0_122 ),
inference(superposition,[],[f3508,f3933]) ).
fof(f3958,plain,
( ! [X2,X3,X0,X1] : step(y(X2,X0),X1) != star(X3)
| ~ spl0_68
| ~ spl0_103
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f3951,f1525]) ).
fof(f3981,definition,
( spl0_124
<=> ! [X2,X0,X1,X3] : step(y(X2,X0),X1) != star(X3) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f3982,plain,
( ! [X2,X3,X0,X1] : step(y(X2,X0),X1) != star(X3)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f3981]) ).
fof(f3983,plain,
( spl0_124
| ~ spl0_68
| ~ spl0_103
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f3958,f3932,f3507,f1524,f3981]) ).
fof(f3986,plain,
( ! [X2,X3,X0,X1] : step(step(star(X0),X1),X2) != star(X3)
| ~ spl0_124 ),
inference(superposition,[],[f3982,f127]) ).
fof(f4297,definition,
( spl0_136
<=> ! [X0,X1] :
( eps != X0
| nil2 = step(X0,X1)
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f4298,plain,
( ! [X0,X1] :
( eps != X0
| nil2 = step(X0,X1)
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f4297]) ).
fof(f4299,plain,
( spl0_136
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f3799,f3540,f4297]) ).
fof(f4303,plain,
( ! [X0] :
( nil2 = step(eps,X0)
| eps = y(proj12(eps),proj22(eps))
| eps = x(proj1(eps),proj2(eps))
| eps = atom(proj1Atom(eps)) )
| ~ spl0_136 ),
inference(equality_resolution,[],[f4298]) ).
fof(f4304,plain,
( ! [X0] :
( nil2 = step(eps,X0)
| eps = x(proj1(eps),proj2(eps))
| eps = atom(proj1Atom(eps)) )
| ~ spl0_116
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f4303,f3797]) ).
fof(f4305,plain,
( ! [X0] :
( nil2 = step(eps,X0)
| eps = atom(proj1Atom(eps)) )
| ~ spl0_113
| ~ spl0_116
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f4304,f3769]) ).
fof(f4306,plain,
( ! [X0] : nil2 = step(eps,X0)
| ~ spl0_113
| ~ spl0_114
| ~ spl0_116
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f4305,f3773]) ).
fof(f4308,definition,
( spl0_137
<=> ! [X0] : nil2 = step(eps,X0) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f4309,plain,
( ! [X0] : nil2 = step(eps,X0)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f4308]) ).
fof(f4310,plain,
( spl0_137
| ~ spl0_113
| ~ spl0_114
| ~ spl0_116
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4306,f4297,f3796,f3772,f3768,f4308]) ).
fof(f4436,definition,
( spl0_142
<=> ! [X0,X1] :
( nil2 != X0
| nil2 = step(X0,X1)
| star(proj1Star(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f4437,plain,
( ! [X0,X1] :
( nil2 != X0
| nil2 = step(X0,X1)
| star(proj1Star(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| atom(proj1Atom(X0)) = X0 )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f4436]) ).
fof(f4438,plain,
( spl0_142
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3880,f3696,f4436]) ).
fof(f4447,plain,
( ! [X0] :
( nil2 = step(nil2,X0)
| nil2 = star(proj1Star(nil2))
| nil2 = x(proj1(nil2),proj2(nil2))
| nil2 = atom(proj1Atom(nil2)) )
| ~ spl0_142 ),
inference(equality_resolution,[],[f4437]) ).
fof(f4448,plain,
( ! [X0] :
( nil2 = step(nil2,X0)
| nil2 = x(proj1(nil2),proj2(nil2))
| nil2 = atom(proj1Atom(nil2)) )
| ~ spl0_107
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4447,f3557]) ).
fof(f4449,plain,
( ! [X0] :
( nil2 = step(nil2,X0)
| nil2 = atom(proj1Atom(nil2)) )
| ~ spl0_107
| ~ spl0_115
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4448,f3777]) ).
fof(f4450,plain,
( ! [X0] : nil2 = step(nil2,X0)
| ~ spl0_107
| ~ spl0_112
| ~ spl0_115
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4449,f3730]) ).
fof(f4452,definition,
( spl0_143
<=> ! [X0] : nil2 = step(nil2,X0) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f4453,plain,
( ! [X0] : nil2 = step(nil2,X0)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4452]) ).
fof(f4454,plain,
( spl0_143
| ~ spl0_107
| ~ spl0_112
| ~ spl0_115
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f4450,f4436,f3776,f3729,f3556,f4452]) ).
fof(f4464,plain,
( ! [X0,X1] : x(step(X0,X1),nil2) = step(x(X0,nil2),X1)
| ~ spl0_143 ),
inference(superposition,[],[f124,f4453]) ).
fof(f4473,plain,
( ! [X0,X1] :
( step(y(nil2,X0),X1) = x(y(nil2,X0),nil2)
| eps2(nil2) )
| ~ spl0_44
| ~ spl0_143 ),
inference(superposition,[],[f1041,f4453]) ).
fof(f4485,plain,
( ! [X0,X1] : step(y(nil2,X0),X1) = x(y(nil2,X0),nil2)
| spl0_32
| ~ spl0_44
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f4473,f584]) ).
fof(f4489,definition,
( spl0_144
<=> ! [X0,X1] : step(y(nil2,X0),X1) = x(y(nil2,X0),nil2) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f4490,plain,
( ! [X0,X1] : step(y(nil2,X0),X1) = x(y(nil2,X0),nil2)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f4489]) ).
fof(f4491,plain,
( spl0_144
| spl0_32
| ~ spl0_44
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f4485,f4452,f1040,f582,f4489]) ).
fof(f5250,definition,
( spl0_168
<=> ! [X0] :
( ~ eps2(X0)
| star(proj1Star(X0)) = X0
| y(proj12(X0),proj22(X0)) = X0
| x(proj1(X0),proj2(X0)) = X0
| eps = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f5251,plain,
( ! [X0] :
( y(proj12(X0),proj22(X0)) = X0
| star(proj1Star(X0)) = X0
| ~ eps2(X0)
| x(proj1(X0),proj2(X0)) = X0
| eps = X0 )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f5250]) ).
fof(f5252,plain,
spl0_168,
inference(avatar_split_clause,[],[f112,f5250]) ).
fof(f5274,plain,
( ! [X0,X1] :
( atom(X1) != X0
| star(proj1Star(X0)) = X0
| ~ eps2(X0)
| x(proj1(X0),proj2(X0)) = X0
| eps = X0 )
| ~ spl0_106
| ~ spl0_168 ),
inference(superposition,[],[f3553,f5251]) ).
fof(f5316,definition,
( spl0_171
<=> ! [X0,X1] :
( atom(X1) != X0
| star(proj1Star(X0)) = X0
| ~ eps2(X0)
| x(proj1(X0),proj2(X0)) = X0
| eps = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f5317,plain,
( ! [X0,X1] :
( atom(X1) != X0
| star(proj1Star(X0)) = X0
| ~ eps2(X0)
| x(proj1(X0),proj2(X0)) = X0
| eps = X0 )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f5316]) ).
fof(f5318,plain,
( spl0_171
| ~ spl0_106
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f5274,f5250,f3552,f5316]) ).
fof(f5320,plain,
( ! [X0] :
( atom(X0) = star(proj1Star(atom(X0)))
| ~ eps2(atom(X0))
| atom(X0) = x(proj1(atom(X0)),proj2(atom(X0)))
| atom(X0) = eps )
| ~ spl0_171 ),
inference(equality_resolution,[],[f5317]) ).
fof(f5321,plain,
( ! [X0] :
( ~ eps2(atom(X0))
| atom(X0) = x(proj1(atom(X0)),proj2(atom(X0)))
| atom(X0) = eps )
| ~ spl0_102
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f5320,f3491]) ).
fof(f5322,plain,
( ! [X0] :
( ~ eps2(atom(X0))
| atom(X0) = eps )
| ~ spl0_102
| ~ spl0_109
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f5321,f3618]) ).
fof(f5323,plain,
( ! [X0] : ~ eps2(atom(X0))
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f5322,f3773]) ).
fof(f5324,plain,
( ! [X2,X0,X1] :
( step(y(atom(X2),X0),X1) = x(y(nil2,X0),nil2)
| X1 = X2 )
| ~ spl0_44
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171 ),
inference(backward_subsumption_resolution,[],[f1045,f5323]) ).
fof(f5325,plain,
( ! [X0,X1] : step(y(atom(X0),X1),X0) = x(y(eps,X1),nil2)
| ~ spl0_45
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171 ),
inference(backward_subsumption_resolution,[],[f1067,f5323]) ).
fof(f5342,plain,
( ! [X2,X0,X1] :
( ~ rec(x(y(eps,X0),nil2),X1)
| rec(step(y(X0,atom(X2)),X2),X1) )
| ~ spl0_69
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171 ),
inference(backward_subsumption_resolution,[],[f1542,f5323]) ).
fof(f5348,definition,
( spl0_172
<=> ! [X0,X1] : step(y(atom(X0),X1),X0) = x(y(eps,X1),nil2) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f5349,plain,
( ! [X0,X1] : step(y(atom(X0),X1),X0) = x(y(eps,X1),nil2)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f5348]) ).
fof(f5350,plain,
( spl0_172
| ~ spl0_45
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f5325,f5316,f3772,f3617,f3490,f1066,f5348]) ).
fof(f5409,definition,
( spl0_173
<=> ! [X0] : ~ eps2(atom(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f5410,plain,
( ! [X0] : ~ eps2(atom(X0))
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f5409]) ).
fof(f5411,plain,
( spl0_173
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f5323,f5316,f3772,f3617,f3490,f5409]) ).
fof(f5418,definition,
( spl0_175
<=> ! [X2,X0,X1] :
( ~ rec(x(y(eps,X0),nil2),X1)
| rec(step(y(X0,atom(X2)),X2),X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f5419,plain,
( ! [X2,X0,X1] :
( rec(step(y(X0,atom(X2)),X2),X1)
| ~ rec(x(y(eps,X0),nil2),X1) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f5418]) ).
fof(f5420,plain,
( spl0_175
| ~ spl0_69
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f5342,f5316,f3772,f3617,f3490,f1538,f5418]) ).
fof(f5460,definition,
( spl0_178
<=> ! [X2,X0,X1] :
( step(y(atom(X2),X0),X1) = x(y(nil2,X0),nil2)
| X1 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f5461,plain,
( ! [X2,X0,X1] :
( step(y(atom(X2),X0),X1) = x(y(nil2,X0),nil2)
| X1 = X2 )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f5460]) ).
fof(f5462,plain,
( spl0_178
| ~ spl0_44
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f5324,f5316,f3772,f3617,f3490,f1040,f5460]) ).
fof(f5481,plain,
( ! [X2,X0,X1] :
( rec(x(y(nil2,atom(X0)),nil2),X2)
| ~ rec(x(y(eps,atom(X1)),nil2),X2)
| X0 = X1 )
| ~ spl0_175
| ~ spl0_178 ),
inference(superposition,[],[f5419,f5461]) ).
fof(f5837,plain,
( ! [X0,X1] :
( nil2 = step(X0,X1)
| nil2 = X0 )
| ~ spl0_88
| ~ spl0_137 ),
inference(superposition,[],[f4309,f2694]) ).
fof(f6002,definition,
( spl0_192
<=> ! [X0,X1] :
( nil2 = step(X0,X1)
| nil2 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
fof(f6003,plain,
( ! [X0,X1] :
( nil2 = step(X0,X1)
| nil2 = X0 )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f6002]) ).
fof(f6004,plain,
( spl0_192
| ~ spl0_88
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f5837,f4308,f2693,f6002]) ).
fof(f7053,plain,
( ! [X0] :
( nil2 = eps
| atom(X0) = nil2 )
| ~ spl0_192 ),
inference(superposition,[],[f6003,f134]) ).
fof(f7196,plain,
( ! [X0] : atom(X0) = nil2
| spl0_110
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f7053,f3693]) ).
fof(f7662,plain,
( $false
| spl0_110
| ~ spl0_112
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f7196,f3730]) ).
fof(f7663,plain,
( spl0_110
| ~ spl0_112
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f7662]) ).
fof(f9708,definition,
( spl0_245
<=> ! [X0] : eps2(x(y(nil2,atom(X0)),eps)) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
fof(f9709,plain,
( ! [X0] : eps2(x(y(nil2,atom(X0)),eps))
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f9708]) ).
fof(f9710,plain,
( spl0_245
| ~ spl0_76
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f2432,f2429,f2403,f9708]) ).
fof(f10648,definition,
( spl0_271
<=> ! [X2,X0,X1] :
( eps2(step(x(X0,X1),X2))
| ~ eps2(step(X0,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
fof(f10649,plain,
( ! [X2,X0,X1] :
( eps2(step(x(X0,X1),X2))
| ~ eps2(step(X0,X2)) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f10648]) ).
fof(f10650,plain,
( spl0_271
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f877,f851,f10648]) ).
fof(f10774,definition,
( spl0_276
<=> ! [X2,X0,X1] :
( ~ eps2(step(y(X2,X0),X1))
| eps2(y(step(X2,X1),X0))
| eps2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
fof(f10775,plain,
( ! [X2,X0,X1] :
( ~ eps2(step(y(X2,X0),X1))
| eps2(y(step(X2,X1),X0))
| eps2(X2) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f10774]) ).
fof(f10776,plain,
( spl0_276
| spl0_32
| ~ spl0_44
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1465,f1448,f1040,f582,f10774]) ).
fof(f10785,plain,
( ! [X0,X1] :
( ~ eps2(x(y(nil2,X0),nil2))
| eps2(y(step(nil2,X1),X0))
| eps2(nil2) )
| ~ spl0_144
| ~ spl0_276 ),
inference(superposition,[],[f10775,f4490]) ).
fof(f10797,plain,
( ! [X0,X1] :
( ~ eps2(x(y(nil2,X0),nil2))
| eps2(y(step(nil2,X1),X0)) )
| spl0_32
| ~ spl0_144
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f10785,f584]) ).
fof(f10801,plain,
( ! [X0] :
( eps2(y(nil2,X0))
| ~ eps2(x(y(nil2,X0),nil2)) )
| spl0_32
| ~ spl0_143
| ~ spl0_144
| ~ spl0_276 ),
inference(forward_demodulation,[],[f10797,f4453]) ).
fof(f10802,plain,
( ! [X0] : ~ eps2(x(y(nil2,X0),nil2))
| spl0_32
| ~ spl0_33
| ~ spl0_143
| ~ spl0_144
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f10801,f604]) ).
fof(f10804,definition,
( spl0_277
<=> ! [X0] : ~ eps2(x(y(nil2,X0),nil2)) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
fof(f10805,plain,
( ! [X0] : ~ eps2(x(y(nil2,X0),nil2))
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f10804]) ).
fof(f10806,plain,
( spl0_277
| spl0_32
| ~ spl0_33
| ~ spl0_143
| ~ spl0_144
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f10802,f10774,f4489,f4452,f603,f582,f10804]) ).
fof(f11279,definition,
( spl0_287
<=> ! [X0] :
( eps2(X0)
| ~ rec(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
fof(f11280,plain,
( ! [X0] :
( ~ rec(X0,nil)
| eps2(X0) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f11279]) ).
fof(f11281,plain,
spl0_287,
inference(avatar_split_clause,[],[f128,f11279]) ).
fof(f11805,plain,
( ! [X0,X1] :
( eps2(step(X0,X1))
| ~ rec(X0,cons(X1,nil)) )
| ~ spl0_287 ),
inference(resolution,[],[f11280,f130]) ).
fof(f11901,definition,
( spl0_304
<=> ! [X0,X1] :
( eps2(step(X0,X1))
| ~ rec(X0,cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
fof(f11902,plain,
( ! [X0,X1] :
( ~ rec(X0,cons(X1,nil))
| eps2(step(X0,X1)) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f11901]) ).
fof(f11903,plain,
( spl0_304
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f11805,f11279,f11901]) ).
fof(f11986,definition,
( spl0_309
<=> ! [X0] : step(y(eps,atom(X0)),X0) = x(y(nil2,atom(X0)),eps) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
fof(f11987,plain,
( ! [X0] : step(y(eps,atom(X0)),X0) = x(y(nil2,atom(X0)),eps)
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f11986]) ).
fof(f11988,plain,
( spl0_309
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2427,f2403,f11986]) ).
fof(f13292,definition,
( spl0_344
<=> ! [X0,X1] : x(step(X0,X1),nil2) = step(x(X0,nil2),X1) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
fof(f13293,plain,
( ! [X0,X1] : x(step(X0,X1),nil2) = step(x(X0,nil2),X1)
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f13292]) ).
fof(f13294,plain,
( spl0_344
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f4464,f4452,f13292]) ).
fof(f15336,definition,
( spl0_384
<=> ! [X2,X0,X1] :
( rec(x(y(nil2,atom(X0)),nil2),X2)
| ~ rec(x(y(eps,atom(X1)),nil2),X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
fof(f15337,plain,
( ! [X2,X0,X1] :
( ~ rec(x(y(eps,atom(X1)),nil2),X2)
| rec(x(y(nil2,atom(X0)),nil2),X2)
| X0 = X1 )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f15336]) ).
fof(f15338,plain,
( spl0_384
| ~ spl0_175
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f5481,f5460,f5418,f15336]) ).
fof(f15565,definition,
( spl0_393
<=> ! [X2,X0,X1] :
( ~ eps2(step(x(X0,X1),X2))
| eps2(step(X1,X2))
| eps2(step(X0,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
fof(f15566,plain,
( ! [X2,X0,X1] :
( ~ eps2(step(x(X0,X1),X2))
| eps2(step(X1,X2))
| eps2(step(X0,X2)) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f15565]) ).
fof(f15567,plain,
( spl0_393
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1459,f1448,f15565]) ).
fof(f15580,plain,
( ! [X2,X3,X0,X1] :
( ~ eps2(step(step(y(X2,X0),X1),X3))
| eps2(step(nil2,X3))
| eps2(step(y(step(X2,X1),X0),X3))
| eps2(X2) )
| ~ spl0_44
| ~ spl0_393 ),
inference(superposition,[],[f15566,f1041]) ).
fof(f15654,plain,
( ! [X2,X3,X0,X1] :
( eps2(nil2)
| ~ eps2(step(step(y(X2,X0),X1),X3))
| eps2(step(y(step(X2,X1),X0),X3))
| eps2(X2) )
| ~ spl0_44
| ~ spl0_143
| ~ spl0_393 ),
inference(forward_demodulation,[],[f15580,f4453]) ).
fof(f15668,plain,
( ! [X2,X3,X0,X1] :
( ~ eps2(step(step(y(X2,X0),X1),X3))
| eps2(step(y(step(X2,X1),X0),X3))
| eps2(X2) )
| spl0_32
| ~ spl0_44
| ~ spl0_143
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f15654,f584]) ).
fof(f32741,definition,
( spl0_509
<=> ! [X0,X3,X2,X1] :
( ~ eps2(step(step(y(X2,X0),X1),X3))
| eps2(step(y(step(X2,X1),X0),X3))
| eps2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_509])],[avatar_definition]) ).
fof(f32742,plain,
( ! [X2,X3,X0,X1] :
( ~ eps2(step(step(y(X2,X0),X1),X3))
| eps2(step(y(step(X2,X1),X0),X3))
| eps2(X2) )
| ~ spl0_509 ),
inference(avatar_component_clause,[],[f32741]) ).
fof(f32743,plain,
( spl0_509
| spl0_32
| ~ spl0_44
| ~ spl0_143
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f15668,f15565,f4452,f1040,f582,f32741]) ).
fof(f32757,plain,
( ! [X2,X0,X1] :
( ~ eps2(step(x(y(nil2,X0),nil2),X1))
| eps2(step(y(step(nil2,X2),X0),X1))
| eps2(nil2) )
| ~ spl0_144
| ~ spl0_509 ),
inference(superposition,[],[f32742,f4490]) ).
fof(f32782,plain,
( ! [X2,X0,X1] :
( ~ eps2(step(x(y(nil2,X0),nil2),X1))
| eps2(step(y(step(nil2,X2),X0),X1)) )
| spl0_32
| ~ spl0_144
| ~ spl0_509 ),
inference(forward_subsumption_resolution,[],[f32757,f584]) ).
fof(f32792,plain,
( ! [X2,X0,X1] :
( ~ eps2(x(step(y(nil2,X0),X1),nil2))
| eps2(step(y(step(nil2,X2),X0),X1)) )
| spl0_32
| ~ spl0_144
| ~ spl0_344
| ~ spl0_509 ),
inference(forward_demodulation,[],[f32782,f13293]) ).
fof(f32799,plain,
( ! [X2,X0,X1] :
( ~ eps2(x(x(y(nil2,X0),nil2),nil2))
| eps2(step(y(step(nil2,X2),X0),X1)) )
| spl0_32
| ~ spl0_144
| ~ spl0_344
| ~ spl0_509 ),
inference(forward_demodulation,[],[f32792,f4490]) ).
fof(f32803,plain,
( ! [X0,X1] :
( eps2(step(y(nil2,X0),X1))
| ~ eps2(x(x(y(nil2,X0),nil2),nil2)) )
| spl0_32
| ~ spl0_143
| ~ spl0_144
| ~ spl0_344
| ~ spl0_509 ),
inference(forward_demodulation,[],[f32799,f4453]) ).
fof(f32805,plain,
( ! [X0] :
( eps2(x(y(nil2,X0),nil2))
| ~ eps2(x(x(y(nil2,X0),nil2),nil2)) )
| spl0_32
| ~ spl0_143
| ~ spl0_144
| ~ spl0_344
| ~ spl0_509 ),
inference(forward_demodulation,[],[f32803,f4490]) ).
fof(f32806,plain,
( ! [X0] : ~ eps2(x(x(y(nil2,X0),nil2),nil2))
| spl0_32
| ~ spl0_143
| ~ spl0_144
| ~ spl0_277
| ~ spl0_344
| ~ spl0_509 ),
inference(forward_subsumption_resolution,[],[f32805,f10805]) ).
fof(f36458,definition,
( spl0_587
<=> ! [X0] : ~ eps2(x(x(y(nil2,X0),nil2),nil2)) ),
introduced(definition,[new_symbols(definition,[spl0_587])],[avatar_definition]) ).
fof(f36459,plain,
( ! [X0] : ~ eps2(x(x(y(nil2,X0),nil2),nil2))
| ~ spl0_587 ),
inference(avatar_component_clause,[],[f36458]) ).
fof(f36460,plain,
( spl0_587
| spl0_32
| ~ spl0_143
| ~ spl0_144
| ~ spl0_277
| ~ spl0_344
| ~ spl0_509 ),
inference(avatar_split_clause,[],[f32806,f32741,f13292,f10804,f4489,f4452,f582,f36458]) ).
fof(f155870,definition,
( spl0_985
<=> ! [X4,X0,X3,X2,X1] :
( step(y(X2,X0),X1) = x(y(step(X2,X1),X0),X3)
| eps2(X2)
| y(X3,X4) = z(X3,X4)
| eps = X4
| eps = X3
| nil2 = X4 ) ),
introduced(definition,[new_symbols(definition,[spl0_985])],[avatar_definition]) ).
fof(f155871,plain,
( ! [X2,X3,X0,X1,X4] :
( step(y(X2,X0),X1) = x(y(step(X2,X1),X0),X3)
| eps2(X2)
| y(X3,X4) = z(X3,X4)
| eps = X4
| eps = X3
| nil2 = X4 )
| ~ spl0_985 ),
inference(avatar_component_clause,[],[f155870]) ).
fof(f155872,plain,
( spl0_985
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1047,f1040,f155870]) ).
fof(f155882,plain,
( ! [X2,X3,X0,X1] :
( step(y(atom(X0),X1),X0) = x(y(eps,X1),X2)
| eps2(atom(X0))
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3 )
| ~ spl0_985 ),
inference(superposition,[],[f155871,f134]) ).
fof(f156005,plain,
( ! [X2,X3,X0,X1] :
( step(y(atom(X0),X1),X0) = x(y(eps,X1),X2)
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3 )
| ~ spl0_173
| ~ spl0_985 ),
inference(forward_subsumption_resolution,[],[f155882,f5410]) ).
fof(f156010,plain,
( ! [X2,X3,X1] :
( x(y(eps,X1),nil2) = x(y(eps,X1),X2)
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3 )
| ~ spl0_172
| ~ spl0_173
| ~ spl0_985 ),
inference(forward_demodulation,[],[f156005,f5349]) ).
fof(f156012,definition,
( spl0_986
<=> ! [X2,X1,X3] :
( x(y(eps,X1),nil2) = x(y(eps,X1),X2)
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3 ) ),
introduced(definition,[new_symbols(definition,[spl0_986])],[avatar_definition]) ).
fof(f156013,plain,
( ! [X2,X3,X1] :
( x(y(eps,X1),nil2) = x(y(eps,X1),X2)
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3 )
| ~ spl0_986 ),
inference(avatar_component_clause,[],[f156012]) ).
fof(f156014,plain,
( spl0_986
| ~ spl0_172
| ~ spl0_173
| ~ spl0_985 ),
inference(avatar_split_clause,[],[f156010,f155870,f5409,f5348,f156012]) ).
fof(f156109,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rec(x(y(eps,atom(X0)),X1),X2)
| rec(x(y(nil2,atom(X3)),nil2),X2)
| X0 = X3
| y(X1,X4) = z(X1,X4)
| eps = X4
| eps = X1
| nil2 = X4 )
| ~ spl0_384
| ~ spl0_986 ),
inference(superposition,[],[f15337,f156013]) ).
fof(f178179,definition,
( spl0_1030
<=> ! [X2,X3] :
( y(X2,X3) = z(X2,X3)
| nil2 = X3
| eps = X2
| eps = X3 ) ),
introduced(definition,[new_symbols(definition,[spl0_1030])],[avatar_definition]) ).
fof(f178180,plain,
( ! [X2,X3] :
( y(X2,X3) = z(X2,X3)
| nil2 = X3
| eps = X2
| eps = X3 )
| ~ spl0_1030 ),
inference(avatar_component_clause,[],[f178179]) ).
fof(f178201,plain,
( ! [X0] :
( nil2 = y(nil2,X0)
| nil2 = X0
| nil2 = eps
| eps = X0 )
| ~ spl0_1030 ),
inference(superposition,[],[f178180,f108]) ).
fof(f178228,plain,
( ! [X0] :
( nil2 = y(nil2,X0)
| nil2 = X0
| eps = X0 )
| spl0_110
| ~ spl0_1030 ),
inference(forward_subsumption_resolution,[],[f178201,f3693]) ).
fof(f178229,plain,
( ! [X0] :
( nil2 = X0
| eps = X0 )
| spl0_110
| ~ spl0_111
| ~ spl0_1030 ),
inference(forward_subsumption_resolution,[],[f178228,f3697]) ).
fof(f178230,plain,
( spl0_88
| spl0_110
| ~ spl0_111
| ~ spl0_1030 ),
inference(avatar_split_clause,[],[f178229,f178179,f3696,f3691,f2693]) ).
fof(f178537,definition,
( spl0_1037
<=> ! [X4,X0,X3,X2,X1] :
( ~ rec(x(y(eps,atom(X0)),X1),X2)
| rec(x(y(nil2,atom(X3)),nil2),X2)
| X0 = X3
| y(X1,X4) = z(X1,X4)
| eps = X4
| eps = X1
| nil2 = X4 ) ),
introduced(definition,[new_symbols(definition,[spl0_1037])],[avatar_definition]) ).
fof(f178538,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rec(x(y(eps,atom(X0)),X1),X2)
| rec(x(y(nil2,atom(X3)),nil2),X2)
| X0 = X3
| y(X1,X4) = z(X1,X4)
| eps = X4
| eps = X1
| nil2 = X4 )
| ~ spl0_1037 ),
inference(avatar_component_clause,[],[f178537]) ).
fof(f178539,plain,
( spl0_1037
| ~ spl0_384
| ~ spl0_986 ),
inference(avatar_split_clause,[],[f156109,f156012,f15336,f178537]) ).
fof(f178550,plain,
( ! [X2,X3,X0,X1,X4] :
( rec(x(y(nil2,atom(X0)),nil2),cons(X1,nil))
| X0 = X2
| y(X3,X4) = z(X3,X4)
| eps = X4
| eps = X3
| nil2 = X4
| ~ eps2(step(x(y(eps,atom(X2)),X3),X1)) )
| ~ spl0_59
| ~ spl0_1037 ),
inference(resolution,[],[f178538,f1354]) ).
fof(f178622,definition,
( spl0_1038
<=> ! [X4,X0,X3,X2,X1] :
( rec(x(y(nil2,atom(X0)),nil2),cons(X1,nil))
| X0 = X2
| y(X3,X4) = z(X3,X4)
| eps = X4
| eps = X3
| nil2 = X4
| ~ eps2(step(x(y(eps,atom(X2)),X3),X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1038])],[avatar_definition]) ).
fof(f178623,plain,
( ! [X2,X3,X0,X1,X4] :
( rec(x(y(nil2,atom(X0)),nil2),cons(X1,nil))
| X0 = X2
| y(X3,X4) = z(X3,X4)
| eps = X4
| eps = X3
| nil2 = X4
| ~ eps2(step(x(y(eps,atom(X2)),X3),X1)) )
| ~ spl0_1038 ),
inference(avatar_component_clause,[],[f178622]) ).
fof(f178624,plain,
( spl0_1038
| ~ spl0_59
| ~ spl0_1037 ),
inference(avatar_split_clause,[],[f178550,f178537,f1353,f178622]) ).
fof(f178628,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3
| ~ eps2(step(x(y(eps,atom(X1)),X2),X4))
| eps2(step(x(y(nil2,atom(X0)),nil2),X4)) )
| ~ spl0_304
| ~ spl0_1038 ),
inference(resolution,[],[f178623,f11902]) ).
fof(f178646,plain,
( ! [X2,X3,X0,X1,X4] :
( eps2(x(step(y(nil2,atom(X0)),X4),nil2))
| X0 = X1
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3
| ~ eps2(step(x(y(eps,atom(X1)),X2),X4)) )
| ~ spl0_304
| ~ spl0_344
| ~ spl0_1038 ),
inference(forward_demodulation,[],[f178628,f13293]) ).
fof(f178648,plain,
( ! [X2,X3,X0,X1,X4] :
( eps2(x(x(y(nil2,atom(X0)),nil2),nil2))
| X0 = X1
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3
| ~ eps2(step(x(y(eps,atom(X1)),X2),X4)) )
| ~ spl0_144
| ~ spl0_304
| ~ spl0_344
| ~ spl0_1038 ),
inference(forward_demodulation,[],[f178646,f4490]) ).
fof(f178649,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3
| ~ eps2(step(x(y(eps,atom(X1)),X2),X4)) )
| ~ spl0_144
| ~ spl0_304
| ~ spl0_344
| ~ spl0_587
| ~ spl0_1038 ),
inference(forward_subsumption_resolution,[],[f178648,f36459]) ).
fof(f178651,definition,
( spl0_1039
<=> ! [X4,X0,X3,X2,X1] :
( X0 = X1
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3
| ~ eps2(step(x(y(eps,atom(X1)),X2),X4)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1039])],[avatar_definition]) ).
fof(f178652,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ eps2(step(x(y(eps,atom(X1)),X2),X4))
| y(X2,X3) = z(X2,X3)
| eps = X3
| eps = X2
| nil2 = X3
| X0 = X1 )
| ~ spl0_1039 ),
inference(avatar_component_clause,[],[f178651]) ).
fof(f178653,plain,
( spl0_1039
| ~ spl0_144
| ~ spl0_304
| ~ spl0_344
| ~ spl0_587
| ~ spl0_1038 ),
inference(avatar_split_clause,[],[f178649,f178622,f36458,f13292,f11901,f4489,f178651]) ).
fof(f178655,plain,
( ! [X2,X3,X0,X1,X4] :
( y(X0,X1) = z(X0,X1)
| eps = X1
| eps = X0
| nil2 = X1
| X2 = X3
| ~ eps2(step(y(eps,atom(X3)),X4)) )
| ~ spl0_271
| ~ spl0_1039 ),
inference(resolution,[],[f178652,f10649]) ).
fof(f178750,definition,
( spl0_1040
<=> ! [X2,X4,X3] :
( X2 = X3
| ~ eps2(step(y(eps,atom(X3)),X4)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1040])],[avatar_definition]) ).
fof(f178751,plain,
( ! [X2,X3,X4] :
( ~ eps2(step(y(eps,atom(X3)),X4))
| X2 = X3 )
| ~ spl0_1040 ),
inference(avatar_component_clause,[],[f178750]) ).
fof(f178752,plain,
( spl0_1040
| spl0_1030
| ~ spl0_271
| ~ spl0_1039 ),
inference(avatar_split_clause,[],[f178655,f178651,f10648,f178179,f178750]) ).
fof(f178763,plain,
( ! [X0,X1] :
( ~ eps2(x(y(nil2,atom(X0)),eps))
| X0 = X1 )
| ~ spl0_309
| ~ spl0_1040 ),
inference(superposition,[],[f178751,f11987]) ).
fof(f178776,plain,
( ! [X0,X1] : X0 = X1
| ~ spl0_245
| ~ spl0_309
| ~ spl0_1040 ),
inference(forward_subsumption_resolution,[],[f178763,f9709]) ).
fof(f179601,plain,
( $false
| ~ spl0_124
| ~ spl0_245
| ~ spl0_309
| ~ spl0_1040 ),
inference(backward_subsumption_resolution,[],[f3986,f178776]) ).
fof(f179659,plain,
( ~ spl0_124
| ~ spl0_245
| ~ spl0_309
| ~ spl0_1040 ),
inference(avatar_contradiction_clause,[],[f179601]) ).
cnf(s1,plain,
spl0_1,
inference(sat_conversion,[],[f138]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f160]) ).
cnf(s32,plain,
( spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f605]) ).
cnf(s54,plain,
spl0_35,
inference(sat_conversion,[],[f781]) ).
cnf(s58,plain,
spl0_39,
inference(sat_conversion,[],[f853]) ).
cnf(s59,plain,
spl0_40,
inference(sat_conversion,[],[f857]) ).
cnf(s63,plain,
spl0_44,
inference(sat_conversion,[],[f1042]) ).
cnf(s64,plain,
( ~ spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s65,plain,
spl0_46,
inference(sat_conversion,[],[f1118]) ).
cnf(s80,plain,
( ~ spl0_46
| spl0_59 ),
inference(sat_conversion,[],[f1355]) ).
cnf(s86,plain,
spl0_65,
inference(sat_conversion,[],[f1450]) ).
cnf(s90,plain,
( ~ spl0_44
| spl0_68 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s91,plain,
( ~ spl0_3
| ~ spl0_45
| spl0_69 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s117,plain,
~ spl0_32,
inference(sat_conversion,[],[f1922]) ).
cnf(s119,plain,
( ~ spl0_35
| spl0_72 ),
inference(sat_conversion,[],[f2336]) ).
cnf(s123,plain,
( ~ spl0_72
| spl0_76 ),
inference(sat_conversion,[],[f2405]) ).
cnf(s124,plain,
( ~ spl0_35
| ~ spl0_40
| ~ spl0_76
| spl0_77 ),
inference(sat_conversion,[],[f2431]) ).
cnf(s199,plain,
spl0_102,
inference(sat_conversion,[],[f3492]) ).
cnf(s200,plain,
spl0_103,
inference(sat_conversion,[],[f3509]) ).
cnf(s202,plain,
spl0_105,
inference(sat_conversion,[],[f3542]) ).
cnf(s203,plain,
spl0_106,
inference(sat_conversion,[],[f3554]) ).
cnf(s204,plain,
spl0_107,
inference(sat_conversion,[],[f3558]) ).
cnf(s206,plain,
spl0_109,
inference(sat_conversion,[],[f3619]) ).
cnf(s207,plain,
~ spl0_110,
inference(sat_conversion,[],[f3694]) ).
cnf(s208,plain,
spl0_111,
inference(sat_conversion,[],[f3698]) ).
cnf(s209,plain,
spl0_112,
inference(sat_conversion,[],[f3731]) ).
cnf(s210,plain,
spl0_113,
inference(sat_conversion,[],[f3770]) ).
cnf(s211,plain,
spl0_114,
inference(sat_conversion,[],[f3774]) ).
cnf(s212,plain,
spl0_115,
inference(sat_conversion,[],[f3778]) ).
cnf(s213,plain,
spl0_116,
inference(sat_conversion,[],[f3798]) ).
cnf(s219,plain,
spl0_122,
inference(sat_conversion,[],[f3934]) ).
cnf(s221,plain,
( ~ spl0_68
| ~ spl0_103
| ~ spl0_122
| spl0_124 ),
inference(sat_conversion,[],[f3983]) ).
cnf(s233,plain,
( ~ spl0_105
| spl0_136 ),
inference(sat_conversion,[],[f4299]) ).
cnf(s234,plain,
( ~ spl0_113
| ~ spl0_114
| ~ spl0_116
| ~ spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f4310]) ).
cnf(s239,plain,
( ~ spl0_111
| spl0_142 ),
inference(sat_conversion,[],[f4438]) ).
cnf(s240,plain,
( ~ spl0_107
| ~ spl0_112
| ~ spl0_115
| ~ spl0_142
| spl0_143 ),
inference(sat_conversion,[],[f4454]) ).
cnf(s241,plain,
( spl0_32
| ~ spl0_44
| ~ spl0_143
| spl0_144 ),
inference(sat_conversion,[],[f4491]) ).
cnf(s267,plain,
spl0_168,
inference(sat_conversion,[],[f5252]) ).
cnf(s270,plain,
( ~ spl0_106
| ~ spl0_168
| spl0_171 ),
inference(sat_conversion,[],[f5318]) ).
cnf(s271,plain,
( ~ spl0_45
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171
| spl0_172 ),
inference(sat_conversion,[],[f5350]) ).
cnf(s272,plain,
( ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171
| spl0_173 ),
inference(sat_conversion,[],[f5411]) ).
cnf(s274,plain,
( ~ spl0_69
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171
| spl0_175 ),
inference(sat_conversion,[],[f5420]) ).
cnf(s277,plain,
( ~ spl0_44
| ~ spl0_102
| ~ spl0_109
| ~ spl0_114
| ~ spl0_171
| spl0_178 ),
inference(sat_conversion,[],[f5462]) ).
cnf(s292,plain,
( ~ spl0_88
| ~ spl0_137
| spl0_192 ),
inference(sat_conversion,[],[f6004]) ).
cnf(s356,plain,
( spl0_110
| ~ spl0_112
| ~ spl0_192 ),
inference(sat_conversion,[],[f7663]) ).
cnf(s459,plain,
( ~ spl0_76
| ~ spl0_77
| spl0_245 ),
inference(sat_conversion,[],[f9710]) ).
cnf(s496,plain,
( ~ spl0_39
| spl0_271 ),
inference(sat_conversion,[],[f10650]) ).
cnf(s501,plain,
( spl0_32
| ~ spl0_44
| ~ spl0_65
| spl0_276 ),
inference(sat_conversion,[],[f10776]) ).
cnf(s502,plain,
( spl0_32
| ~ spl0_33
| ~ spl0_143
| ~ spl0_144
| ~ spl0_276
| spl0_277 ),
inference(sat_conversion,[],[f10806]) ).
cnf(s526,plain,
spl0_287,
inference(sat_conversion,[],[f11281]) ).
cnf(s544,plain,
( ~ spl0_287
| spl0_304 ),
inference(sat_conversion,[],[f11903]) ).
cnf(s549,plain,
( ~ spl0_76
| spl0_309 ),
inference(sat_conversion,[],[f11988]) ).
cnf(s593,plain,
( ~ spl0_143
| spl0_344 ),
inference(sat_conversion,[],[f13294]) ).
cnf(s644,plain,
( ~ spl0_175
| ~ spl0_178
| spl0_384 ),
inference(sat_conversion,[],[f15338]) ).
cnf(s653,plain,
( ~ spl0_65
| spl0_393 ),
inference(sat_conversion,[],[f15567]) ).
cnf(s1004,plain,
( spl0_32
| ~ spl0_44
| ~ spl0_143
| ~ spl0_393
| spl0_509 ),
inference(sat_conversion,[],[f32743]) ).
cnf(s1082,plain,
( spl0_32
| ~ spl0_143
| ~ spl0_144
| ~ spl0_277
| ~ spl0_344
| ~ spl0_509
| spl0_587 ),
inference(sat_conversion,[],[f36460]) ).
cnf(s2113,plain,
( ~ spl0_44
| spl0_985 ),
inference(sat_conversion,[],[f155872]) ).
cnf(s2114,plain,
( ~ spl0_172
| ~ spl0_173
| ~ spl0_985
| spl0_986 ),
inference(sat_conversion,[],[f156014]) ).
cnf(s2201,plain,
( spl0_88
| spl0_110
| ~ spl0_111
| ~ spl0_1030 ),
inference(sat_conversion,[],[f178230]) ).
cnf(s2207,plain,
( ~ spl0_384
| ~ spl0_986
| spl0_1037 ),
inference(sat_conversion,[],[f178539]) ).
cnf(s2208,plain,
( ~ spl0_59
| ~ spl0_1037
| spl0_1038 ),
inference(sat_conversion,[],[f178624]) ).
cnf(s2209,plain,
( ~ spl0_144
| ~ spl0_304
| ~ spl0_344
| ~ spl0_587
| ~ spl0_1038
| spl0_1039 ),
inference(sat_conversion,[],[f178653]) ).
cnf(s2210,plain,
( ~ spl0_271
| spl0_1030
| ~ spl0_1039
| spl0_1040 ),
inference(sat_conversion,[],[f178752]) ).
cnf(s2268,plain,
( ~ spl0_124
| ~ spl0_245
| ~ spl0_309
| ~ spl0_1040 ),
inference(sat_conversion,[],[f179659]) ).
cnf(s2295,plain,
spl0_304,
inference(rat,[],[s544,s526]) ).
cnf(s2334,plain,
spl0_142,
inference(rat,[],[s239,s208]) ).
cnf(s2339,plain,
~ spl0_192,
inference(rat,[],[s356,s209,s207]) ).
cnf(s2350,plain,
spl0_143,
inference(rat,[],[s240,s2334,s209,s212,s204]) ).
cnf(s2352,plain,
spl0_344,
inference(rat,[],[s593,s2350]) ).
cnf(s2387,plain,
spl0_171,
inference(rat,[],[s270,s267,s203]) ).
cnf(s2390,plain,
spl0_136,
inference(rat,[],[s233,s202]) ).
cnf(s2391,plain,
spl0_137,
inference(rat,[],[s234,s210,s211,s213,s2390]) ).
cnf(s2395,plain,
~ spl0_88,
inference(rat,[],[s292,s2339,s2391]) ).
cnf(s2402,plain,
~ spl0_1030,
inference(rat,[],[s2201,s207,s208,s2395]) ).
cnf(s2421,plain,
spl0_173,
inference(rat,[],[s272,s2387,s206,s211,s199]) ).
cnf(s2465,plain,
spl0_393,
inference(rat,[],[s653,s86]) ).
cnf(s2472,plain,
spl0_59,
inference(rat,[],[s80,s65]) ).
cnf(s2474,plain,
spl0_985,
inference(rat,[],[s2113,s63]) ).
cnf(s2480,plain,
spl0_509,
inference(rat,[],[s1004,s2465,s117,s2350,s63]) ).
cnf(s2489,plain,
spl0_276,
inference(rat,[],[s501,s86,s117,s63]) ).
cnf(s2494,plain,
spl0_178,
inference(rat,[],[s277,s199,s2387,s211,s206,s63]) ).
cnf(s2497,plain,
spl0_144,
inference(rat,[],[s241,s117,s2350,s63]) ).
cnf(s2500,plain,
spl0_68,
inference(rat,[],[s90,s63]) ).
cnf(s2505,plain,
spl0_45,
inference(rat,[],[s64,s63]) ).
cnf(s2549,plain,
spl0_124,
inference(rat,[],[s221,s200,s219,s2500]) ).
cnf(s2569,plain,
spl0_172,
inference(rat,[],[s271,s199,s2387,s211,s206,s2505]) ).
cnf(s2606,plain,
spl0_986,
inference(rat,[],[s2114,s2474,s2421,s2569]) ).
cnf(s2707,plain,
spl0_271,
inference(rat,[],[s496,s58]) ).
cnf(s2779,plain,
spl0_72,
inference(rat,[],[s119,s54]) ).
cnf(s2797,plain,
spl0_76,
inference(rat,[],[s123,s2779]) ).
cnf(s2805,plain,
spl0_309,
inference(rat,[],[s549,s2797]) ).
cnf(s2806,plain,
spl0_77,
inference(rat,[],[s124,s54,s59,s2797]) ).
cnf(s2810,plain,
spl0_245,
inference(rat,[],[s459,s2797,s2806]) ).
cnf(s2812,plain,
~ spl0_1040,
inference(rat,[],[s2268,s2805,s2549,s2810]) ).
cnf(s2813,plain,
~ spl0_1039,
inference(rat,[],[s2210,s2707,s2402,s2812]) ).
cnf(s2831,plain,
spl0_33,
inference(rat,[],[s32,s117]) ).
cnf(s2836,plain,
spl0_277,
inference(rat,[],[s502,s2497,s2489,s117,s2350,s2831]) ).
cnf(s2852,plain,
spl0_587,
inference(rat,[],[s1082,s2497,s2480,s2352,s117,s2350,s2836]) ).
cnf(s2869,plain,
~ spl0_1038,
inference(rat,[],[s2209,s2813,s2497,s2352,s2295,s2852]) ).
cnf(s2882,plain,
~ spl0_1037,
inference(rat,[],[s2208,s2472,s2869]) ).
cnf(s2892,plain,
~ spl0_384,
inference(rat,[],[s2207,s2606,s2882]) ).
cnf(s2896,plain,
~ spl0_175,
inference(rat,[],[s644,s2494,s2892]) ).
cnf(s2898,plain,
~ spl0_69,
inference(rat,[],[s274,s199,s2387,s211,s206,s2896]) ).
cnf(s2899,plain,
~ spl0_3,
inference(rat,[],[s91,s2505,s2898]) ).
cnf(s2900,plain,
~ spl0_1,
inference(rat,[],[s3,s2899]) ).
cnf(s2901,plain,
$false,
inference(rat,[],[s1,s2900]) ).
fof(f181534,plain,
$false,
inference(avatar_sat_refutation,[],[s2901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX212+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:12:57 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 12.06/2.47 % (3926028)Detected formulas, will run a generic FOF schedule.
% 12.06/2.47 % (3926034)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=2361251068:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.06/2.47 % (3926038)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2585398932:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.06/2.47 % (3926039)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=483781735:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.06/2.47 % (3926037)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=546342638:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.06/2.47 % (3926036)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=587001365:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.06/2.47 % (3926035)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=877325623:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.06/2.47 % (3926037)Refutation not found, incomplete strategy
% 12.06/2.47 % (3926037)------------------------------
% 12.06/2.47 % (3926037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.47 % (3926037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.47 % (3926037)CaDiCaL version: 2.1.3
% 12.06/2.47 % (3926037)Termination reason: Refutation not found, incomplete strategy
% 12.06/2.47 % (3926037)Time elapsed: 0.001 s
% 12.06/2.47 % (3926037)Peak memory usage: 88 MB
% 12.06/2.47 % (3926040)dis-21_1_sil=8000:lcm=predicate:random_seed=2973213097: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)
% 12.06/2.47 % (3926038)Instruction limit reached!
% 12.06/2.47 % (3926038)------------------------------
% 12.06/2.47 % (3926038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.47 % (3926038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.47 % (3926038)CaDiCaL version: 2.1.3
% 12.06/2.47 % (3926038)Termination reason: Instruction limit
% 12.06/2.47 % (3926038)Termination phase: Saturation
% 12.06/2.47 % (3926038)Time elapsed: 0.070 s
% 12.06/2.47 % (3926038)Peak memory usage: 89 MB
% 12.06/2.47 % (3926038)Instructions burned: 119 (million)
% 12.06/2.47 % (3926040)Instruction limit reached!
% 12.06/2.47 % (3926040)------------------------------
% 12.06/2.47 % (3926040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.47 % (3926040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.47 % (3926040)CaDiCaL version: 2.1.3
% 12.06/2.47 % (3926040)Termination reason: Instruction limit
% 12.06/2.47 % (3926040)Termination phase: Saturation
% 12.06/2.47 % (3926040)Time elapsed: 0.068 s
% 12.06/2.47 % (3926040)Peak memory usage: 89 MB
% 12.06/2.47 % (3926040)Instructions burned: 129 (million)
% 12.06/2.47 % (3926039)Instruction limit reached!
% 12.06/2.47 % (3926039)------------------------------
% 12.06/2.47 % (3926039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.47 % (3926039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.47 % (3926039)CaDiCaL version: 2.1.3
% 12.06/2.47 % (3926039)Termination reason: Instruction limit
% 12.06/2.47 % (3926039)Termination phase: Saturation
% 12.06/2.47 % (3926039)Time elapsed: 0.083 s
% 12.06/2.47 % (3926039)Peak memory usage: 89 MB
% 12.06/2.47 % (3926039)Instructions burned: 139 (million)
% 12.06/2.47 % (3926048)lrs+10_1_sil=8000:sp=occurrence:random_seed=1185206344:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.06/2.47 % (3926049)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2701232659:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.06/2.47 % (3926050)lrs+1011_1_sil=32000:sp=occurrence:random_seed=198268822:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.06/2.47 % (3926049)Refutation not found, incomplete strategy
% 12.06/2.47 % (3926049)------------------------------
% 12.06/2.47 % (3926049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.06/2.47 % (3926049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.51 % (3926049)CaDiCaL version: 2.1.3
% 20.01/3.51 % (3926049)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.51 % (3926049)Time elapsed: 0.001 s
% 20.01/3.51 % (3926049)Peak memory usage: 88 MB
% 20.01/3.51 % (3926050)Refutation not found, incomplete strategy
% 20.01/3.51 % (3926050)------------------------------
% 20.01/3.51 % (3926050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.01/3.51 % (3926050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.51 % (3926050)CaDiCaL version: 2.1.3
% 20.01/3.51 % (3926050)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.51 % (3926050)Time elapsed: 0.005 s
% 20.01/3.51 % (3926050)Peak memory usage: 88 MB
% 20.01/3.51 % (3926050)Instructions burned: 5 (million)
% 20.01/3.51 % (3926037)------------------------------
% 20.01/3.51 % (3926037)------------------------------
% 20.01/3.51 % (3926048)Instruction limit reached!
% 20.01/3.51 % (3926048)------------------------------
% 20.01/3.51 % (3926048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.01/3.51 % (3926048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.51 % (3926048)CaDiCaL version: 2.1.3
% 20.01/3.51 % (3926048)Termination reason: Instruction limit
% 20.01/3.51 % (3926048)Termination phase: Saturation
% 20.01/3.51 % (3926048)Time elapsed: 0.167 s
% 20.01/3.51 % (3926048)Peak memory usage: 90 MB
% 20.01/3.51 % (3926048)Instructions burned: 285 (million)
% 20.01/3.51 % (3926054)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=1551604499:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.01/3.51 % (3926049)------------------------------
% 20.01/3.51 % (3926049)------------------------------
% 20.01/3.51 % (3926050)------------------------------
% 20.01/3.51 % (3926050)------------------------------
% 20.01/3.51 % (3926055)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1299870520:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 20.01/3.51 % (3926054)Instruction limit reached!
% 20.01/3.51 % (3926054)------------------------------
% 20.01/3.51 % (3926054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.01/3.51 % (3926054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.51 % (3926054)CaDiCaL version: 2.1.3
% 20.01/3.51 % (3926054)Termination reason: Instruction limit
% 20.01/3.51 % (3926054)Termination phase: Saturation
% 20.01/3.51 % (3926054)Time elapsed: 0.151 s
% 20.01/3.51 % (3926054)Peak memory usage: 92 MB
% 20.01/3.51 % (3926054)Instructions burned: 248 (million)
% 20.01/3.51 % (3926058)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2942983383:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.01/3.51 % (3926057)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3917873081:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.01/3.51 % (3926055)Instruction limit reached!
% 20.01/3.51 % (3926055)------------------------------
% 20.01/3.51 % (3926055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.01/3.51 % (3926055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.51 % (3926055)CaDiCaL version: 2.1.3
% 20.01/3.51 % (3926055)Termination reason: Instruction limit
% 20.01/3.51 % (3926055)Termination phase: Saturation
% 20.01/3.51 % (3926055)Time elapsed: 0.132 s
% 20.01/3.51 % (3926055)Peak memory usage: 88 MB
% 20.01/3.51 % (3926055)Instructions burned: 295 (million)
% 20.01/3.51 % (3926060)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4121122127:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 20.01/3.51 % (3926058)Instruction limit reached!
% 20.01/3.51 % (3926058)------------------------------
% 20.01/3.51 % (3926058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.01/3.51 % (3926058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.51 % (3926058)CaDiCaL version: 2.1.3
% 20.01/3.51 % (3926058)Termination reason: Instruction limit
% 20.01/3.51 % (3926058)Termination phase: Saturation
% 20.01/3.51 % (3926058)Time elapsed: 0.070 s
% 20.01/3.51 % (3926058)Peak memory usage: 89 MB
% 20.01/3.51 % (3926058)Instructions burned: 114 (million)
% 20.01/3.51 % (3926060)Instruction limit reached!
% 20.01/3.51 % (3926060)------------------------------
% 20.01/3.51 % (3926060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.01/3.51 % (3926060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.15/7.17 % (3926060)CaDiCaL version: 2.1.3
% 46.15/7.17 % (3926060)Termination reason: Instruction limit
% 46.15/7.17 % (3926060)Termination phase: Saturation
% 46.15/7.17 % (3926060)Time elapsed: 0.058 s
% 46.15/7.17 % (3926060)Peak memory usage: 89 MB
% 46.15/7.17 % (3926060)Instructions burned: 128 (million)
% 46.15/7.17 % (3926063)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=146665506:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 46.15/7.17 % (3926065)lrs+10_1_sil=8000:sp=occurrence:random_seed=2164494119:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 46.15/7.17 % (3926063)Instruction limit reached!
% 46.15/7.17 % (3926063)------------------------------
% 46.15/7.17 % (3926063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.15/7.17 % (3926063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.15/7.17 % (3926063)CaDiCaL version: 2.1.3
% 46.15/7.17 % (3926063)Termination reason: Instruction limit
% 46.15/7.17 % (3926063)Termination phase: Saturation
% 46.15/7.17 % (3926063)Time elapsed: 0.061 s
% 46.15/7.17 % (3926063)Peak memory usage: 88 MB
% 46.15/7.17 % (3926063)Instructions burned: 116 (million)
% 46.15/7.17 % (3926066)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4071630095:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 46.15/7.17 % (3926069)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2518601567:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 46.15/7.17 % (3926066)Instruction limit reached!
% 46.15/7.17 % (3926066)------------------------------
% 46.15/7.17 % (3926066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.15/7.17 % (3926066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.15/7.17 % (3926066)CaDiCaL version: 2.1.3
% 46.15/7.17 % (3926066)Termination reason: Instruction limit
% 46.15/7.17 % (3926066)Termination phase: Saturation
% 46.15/7.17 % (3926066)Time elapsed: 0.238 s
% 46.15/7.17 % (3926066)Peak memory usage: 90 MB
% 46.15/7.17 % (3926066)Instructions burned: 438 (million)
% 46.15/7.17 % (3926072)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=848330837:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 46.15/7.17 % (3926072)Instruction limit reached!
% 46.15/7.17 % (3926072)------------------------------
% 46.15/7.17 % (3926072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.15/7.17 % (3926072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.15/7.17 % (3926072)CaDiCaL version: 2.1.3
% 46.15/7.17 % (3926072)Termination reason: Instruction limit
% 46.15/7.17 % (3926072)Termination phase: Saturation
% 46.15/7.17 % (3926072)Time elapsed: 0.077 s
% 46.15/7.17 % (3926072)Peak memory usage: 91 MB
% 46.15/7.17 % (3926072)Instructions burned: 136 (million)
% 46.15/7.17 % (3926065)Instruction limit reached!
% 46.15/7.17 % (3926065)------------------------------
% 46.15/7.17 % (3926065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.15/7.17 % (3926065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.15/7.17 % (3926065)CaDiCaL version: 2.1.3
% 46.15/7.17 % (3926065)Termination reason: Instruction limit
% 46.15/7.17 % (3926065)Termination phase: Saturation
% 46.15/7.17 % (3926065)Time elapsed: 0.523 s
% 46.15/7.17 % (3926065)Peak memory usage: 96 MB
% 46.15/7.17 % (3926065)Instructions burned: 907 (million)
% 46.15/7.17 % (3926074)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1133079112:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 46.15/7.17 % (3926074)Refutation not found, incomplete strategy
% 46.15/7.17 % (3926074)------------------------------
% 46.15/7.17 % (3926074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.15/7.17 % (3926074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.15/7.17 % (3926074)CaDiCaL version: 2.1.3
% 46.15/7.17 % (3926074)Termination reason: Refutation not found, incomplete strategy
% 46.15/7.17 % (3926074)Time elapsed: 0.002 s
% 46.15/7.17 % (3926074)Peak memory usage: 88 MB
% 46.15/7.17 % (3926074)Instructions burned: 2 (million)
% 46.15/7.17 % (3926075)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3005299746:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 46.15/7.17 % (3926074)------------------------------
% 46.15/7.17 % (3926074)------------------------------
% 77.48/11.61 % (3926078)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=3046895139:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 77.48/11.61 % (3926078)Instruction limit reached!
% 77.48/11.61 % (3926078)------------------------------
% 77.48/11.61 % (3926078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.48/11.61 % (3926078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.48/11.61 % (3926078)CaDiCaL version: 2.1.3
% 77.48/11.61 % (3926078)Termination reason: Instruction limit
% 77.48/11.61 % (3926078)Termination phase: Saturation
% 77.48/11.61 % (3926078)Time elapsed: 0.081 s
% 77.48/11.61 % (3926078)Peak memory usage: 91 MB
% 77.48/11.61 % (3926078)Instructions burned: 126 (million)
% 77.48/11.61 % (3926080)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2789594001:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 77.48/11.61 % (3926057)Instruction limit reached!
% 77.48/11.61 % (3926057)------------------------------
% 77.48/11.61 % (3926057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.48/11.61 % (3926057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.48/11.61 % (3926057)CaDiCaL version: 2.1.3
% 77.48/11.61 % (3926057)Termination reason: Instruction limit
% 77.48/11.61 % (3926057)Termination phase: Saturation
% 77.48/11.61 % (3926057)Time elapsed: 1.493 s
% 77.48/11.61 % (3926057)Peak memory usage: 141 MB
% 77.48/11.61 % (3926057)Instructions burned: 2351 (million)
% 77.48/11.61 % (3926080)Instruction limit reached!
% 77.48/11.61 % (3926080)------------------------------
% 77.48/11.61 % (3926080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.48/11.61 % (3926080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.48/11.61 % (3926080)CaDiCaL version: 2.1.3
% 77.48/11.61 % (3926080)Termination reason: Instruction limit
% 77.48/11.61 % (3926080)Termination phase: Saturation
% 77.48/11.61 % (3926080)Time elapsed: 0.078 s
% 77.48/11.61 % (3926080)Peak memory usage: 90 MB
% 77.48/11.61 % (3926080)Instructions burned: 135 (million)
% 77.48/11.61 % (3926082)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2666627829:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 77.48/11.61 % (3926083)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4078991383:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 77.48/11.61 % (3926082)Refutation not found, incomplete strategy
% 77.48/11.61 % (3926082)------------------------------
% 77.48/11.61 % (3926082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.48/11.61 % (3926082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.48/11.61 % (3926082)CaDiCaL version: 2.1.3
% 77.48/11.61 % (3926082)Termination reason: Refutation not found, incomplete strategy
% 77.48/11.61 % (3926082)Time elapsed: 0.001 s
% 77.48/11.61 % (3926082)Peak memory usage: 88 MB
% 77.48/11.61 % (3926083)Refutation not found, incomplete strategy
% 77.48/11.61 % (3926083)------------------------------
% 77.48/11.61 % (3926083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.48/11.61 % (3926083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.48/11.61 % (3926083)CaDiCaL version: 2.1.3
% 77.48/11.61 % (3926083)Termination reason: Refutation not found, incomplete strategy
% 77.48/11.61 % (3926083)Time elapsed: 0.001 s
% 77.48/11.61 % (3926083)Peak memory usage: 88 MB
% 77.48/11.61 % (3926083)Instructions burned: 1 (million)
% 77.48/11.61 % (3926083)------------------------------
% 77.48/11.61 % (3926083)------------------------------
% 77.48/11.61 % (3926082)------------------------------
% 77.48/11.61 % (3926082)------------------------------
% 77.48/11.61 % (3926087)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=1077581749:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 77.48/11.61 % (3926086)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=3084012030:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 77.48/11.61 % (3926087)Instruction limit reached!
% 77.48/11.61 % (3926087)------------------------------
% 77.48/11.61 % (3926087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.58/16.20 % (3926087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.58/16.20 % (3926087)CaDiCaL version: 2.1.3
% 110.58/16.20 % (3926087)Termination reason: Instruction limit
% 110.58/16.20 % (3926087)Termination phase: Saturation
% 110.58/16.20 % (3926087)Time elapsed: 0.093 s
% 110.58/16.20 % (3926087)Peak memory usage: 91 MB
% 110.58/16.20 % (3926087)Instructions burned: 152 (million)
% 110.58/16.20 % (3926090)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3345819585:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 110.58/16.20 % (3926069)Instruction limit reached!
% 110.58/16.20 % (3926069)------------------------------
% 110.58/16.20 % (3926069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.58/16.20 % (3926069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.58/16.20 % (3926069)CaDiCaL version: 2.1.3
% 110.58/16.20 % (3926069)Termination reason: Instruction limit
% 110.58/16.20 % (3926069)Termination phase: Saturation
% 110.58/16.20 % (3926069)Time elapsed: 3.027 s
% 110.58/16.20 % (3926069)Peak memory usage: 145 MB
% 110.58/16.20 % (3926069)Instructions burned: 5203 (million)
% 110.58/16.20 % (3926092)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1390305582:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 110.58/16.20 % (3926092)Instruction limit reached!
% 110.58/16.20 % (3926092)------------------------------
% 110.58/16.20 % (3926092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.58/16.20 % (3926092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.58/16.20 % (3926092)CaDiCaL version: 2.1.3
% 110.58/16.20 % (3926092)Termination reason: Instruction limit
% 110.58/16.20 % (3926092)Termination phase: Saturation
% 110.58/16.20 % (3926092)Time elapsed: 0.253 s
% 110.58/16.20 % (3926092)Peak memory usage: 89 MB
% 110.58/16.20 % (3926092)Instructions burned: 668 (million)
% 110.58/16.20 % (3926094)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=973013139:s2a=on:i=185:s2at=1.8:fdi=4_2955 on theBenchmark for (2955ds/185Mi)
% 110.58/16.20 % (3926094)Instruction limit reached!
% 110.58/16.20 % (3926094)------------------------------
% 110.58/16.20 % (3926094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.58/16.20 % (3926094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.58/16.20 % (3926094)CaDiCaL version: 2.1.3
% 110.58/16.20 % (3926094)Termination reason: Instruction limit
% 110.58/16.20 % (3926094)Termination phase: Saturation
% 110.58/16.20 % (3926094)Time elapsed: 0.097 s
% 110.58/16.20 % (3926094)Peak memory usage: 91 MB
% 110.58/16.20 % (3926094)Instructions burned: 186 (million)
% 110.58/16.20 % (3926096)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1343496743:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2952 on theBenchmark for (2952ds/193Mi)
% 110.58/16.20 % (3926096)Instruction limit reached!
% 110.58/16.20 % (3926096)------------------------------
% 110.58/16.20 % (3926096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.58/16.20 % (3926096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.58/16.20 % (3926096)CaDiCaL version: 2.1.3
% 110.58/16.20 % (3926096)Termination reason: Instruction limit
% 110.58/16.20 % (3926096)Termination phase: Saturation
% 110.58/16.20 % (3926096)Time elapsed: 0.115 s
% 110.58/16.20 % (3926096)Peak memory usage: 91 MB
% 110.58/16.20 % (3926096)Instructions burned: 193 (million)
% 110.58/16.20 % (3926098)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=942512277:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2950 on theBenchmark for (2950ds/4850Mi)
% 110.58/16.20 % (3926086)Instruction limit reached!
% 110.58/16.20 % (3926086)------------------------------
% 110.58/16.20 % (3926086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.58/16.20 % (3926086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.58/16.20 % (3926086)CaDiCaL version: 2.1.3
% 110.58/16.20 % (3926086)Termination reason: Instruction limit
% 110.58/16.20 % (3926086)Termination phase: Saturation
% 110.58/16.20 % (3926086)Time elapsed: 3.627 s
% 110.58/16.20 % (3926086)Peak memory usage: 153 MB
% 110.58/16.20 % (3926086)Instructions burned: 6061 (million)
% 110.58/16.20 % (3926100)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1805774419:i=12111:sd=1:ss=included_2936 on theBenchmark for (2936ds/12111Mi)
% 76.13/16.63 % (3926098)Instruction limit reached!
% 76.13/16.63 % (3926098)------------------------------
% 76.13/16.63 % (3926098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926098)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926098)Termination reason: Instruction limit
% 76.13/16.63 % (3926098)Termination phase: Saturation
% 76.13/16.63 % (3926098)Time elapsed: 2.904 s
% 76.13/16.63 % (3926098)Peak memory usage: 150 MB
% 76.13/16.63 % (3926098)Instructions burned: 4850 (million)
% 76.13/16.63 % (3926102)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3929915734:i=319:kws=precedence:fsr=off_2919 on theBenchmark for (2919ds/319Mi)
% 76.13/16.63 % (3926102)Instruction limit reached!
% 76.13/16.63 % (3926102)------------------------------
% 76.13/16.63 % (3926102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926102)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926102)Termination reason: Instruction limit
% 76.13/16.63 % (3926102)Termination phase: Saturation
% 76.13/16.63 % (3926102)Time elapsed: 0.175 s
% 76.13/16.63 % (3926102)Peak memory usage: 91 MB
% 76.13/16.63 % (3926102)Instructions burned: 321 (million)
% 76.13/16.63 % (3926104)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3156784926:i=2064:ep=RST_2916 on theBenchmark for (2916ds/2064Mi)
% 76.13/16.63 % (3926104)Refutation not found, incomplete strategy
% 76.13/16.63 % (3926104)------------------------------
% 76.13/16.63 % (3926104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926104)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926104)Termination reason: Refutation not found, incomplete strategy
% 76.13/16.63 % (3926104)Time elapsed: 0.002 s
% 76.13/16.63 % (3926104)Peak memory usage: 88 MB
% 76.13/16.63 % (3926104)Instructions burned: 2 (million)
% 76.13/16.63 % (3926104)------------------------------
% 76.13/16.63 % (3926104)------------------------------
% 76.13/16.63 % (3926106)dis-1011_128_sil=32000:random_seed=240331849:i=3706:ep=RST:av=off_2913 on theBenchmark for (2913ds/3706Mi)
% 76.13/16.63 % (3926075)Instruction limit reached!
% 76.13/16.63 % (3926075)------------------------------
% 76.13/16.63 % (3926075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926075)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926075)Termination reason: Instruction limit
% 76.13/16.63 % (3926075)Termination phase: Saturation
% 76.13/16.63 % (3926075)Time elapsed: 8.438 s
% 76.13/16.63 % (3926075)Peak memory usage: 227 MB
% 76.13/16.63 % (3926075)Instructions burned: 13193 (million)
% 76.13/16.63 % (3926108)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3459859832:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2899 on theBenchmark for (2899ds/757Mi)
% 76.13/16.63 % (3926108)Instruction limit reached!
% 76.13/16.63 % (3926108)------------------------------
% 76.13/16.63 % (3926108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926108)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926108)Termination reason: Instruction limit
% 76.13/16.63 % (3926108)Termination phase: Saturation
% 76.13/16.63 % (3926108)Time elapsed: 0.343 s
% 76.13/16.63 % (3926108)Peak memory usage: 99 MB
% 76.13/16.63 % (3926108)Instructions burned: 757 (million)
% 76.13/16.63 % (3926110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3380636438:i=13913:ss=axioms:sgt=8_2894 on theBenchmark for (2894ds/13913Mi)
% 76.13/16.63 % (3926090)Instruction limit reached!
% 76.13/16.63 % (3926090)------------------------------
% 76.13/16.63 % (3926090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926090)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926090)Termination reason: Instruction limit
% 76.13/16.63 % (3926090)Termination phase: Saturation
% 76.13/16.63 % (3926090)Time elapsed: 7.869 s
% 76.13/16.63 % (3926090)Peak memory usage: 225 MB
% 76.13/16.63 % (3926090)Instructions burned: 14157 (million)
% 76.13/16.63 % (3926106)Instruction limit reached!
% 76.13/16.63 % (3926106)------------------------------
% 76.13/16.63 % (3926106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926106)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926106)Termination reason: Instruction limit
% 76.13/16.63 % (3926106)Termination phase: Saturation
% 76.13/16.63 % (3926106)Time elapsed: 2.137 s
% 76.13/16.63 % (3926106)Peak memory usage: 125 MB
% 76.13/16.63 % (3926106)Instructions burned: 3706 (million)
% 76.13/16.63 % (3926112)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=364548602:i=9925:aac=none_2891 on theBenchmark for (2891ds/9925Mi)
% 76.13/16.63 % (3926113)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2539069796:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2890 on theBenchmark for (2890ds/2479Mi)
% 76.13/16.63 % (3926113)Instruction limit reached!
% 76.13/16.63 % (3926113)------------------------------
% 76.13/16.63 % (3926113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926113)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926113)Termination reason: Instruction limit
% 76.13/16.63 % (3926113)Termination phase: Saturation
% 76.13/16.63 % (3926113)Time elapsed: 1.480 s
% 76.13/16.63 % (3926113)Peak memory usage: 107 MB
% 76.13/16.63 % (3926113)Instructions burned: 2480 (million)
% 76.13/16.63 % (3926116)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=4043185692:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2874 on theBenchmark for (2874ds/440Mi)
% 76.13/16.63 % (3926116)Instruction limit reached!
% 76.13/16.63 % (3926116)------------------------------
% 76.13/16.63 % (3926116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926116)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926116)Termination reason: Instruction limit
% 76.13/16.63 % (3926116)Termination phase: Saturation
% 76.13/16.63 % (3926116)Time elapsed: 0.238 s
% 76.13/16.63 % (3926116)Peak memory usage: 94 MB
% 76.13/16.63 % (3926116)Instructions burned: 441 (million)
% 76.13/16.63 % (3926118)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1404749668:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2870 on theBenchmark for (2870ds/11145Mi)
% 76.13/16.63 % (3926100)Instruction limit reached!
% 76.13/16.63 % (3926100)------------------------------
% 76.13/16.63 % (3926100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926100)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926100)Termination reason: Instruction limit
% 76.13/16.63 % (3926100)Termination phase: Saturation
% 76.13/16.63 % (3926100)Time elapsed: 6.763 s
% 76.13/16.63 % (3926100)Peak memory usage: 234 MB
% 76.13/16.63 % (3926100)Instructions burned: 12112 (million)
% 76.13/16.63 % (3926120)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=4058326097:cts=off:i=3034:av=off:er=known:fsd=on_2867 on theBenchmark for (2867ds/3034Mi)
% 76.13/16.63 % (3926120)Instruction limit reached!
% 76.13/16.63 % (3926120)------------------------------
% 76.13/16.63 % (3926120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926120)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926120)Termination reason: Instruction limit
% 76.13/16.63 % (3926120)Termination phase: Saturation
% 76.13/16.63 % (3926120)Time elapsed: 1.701 s
% 76.13/16.63 % (3926120)Peak memory usage: 135 MB
% 76.13/16.63 % (3926120)Instructions burned: 3036 (million)
% 76.13/16.63 % (3926122)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2851418830:st=2:s2a=on:i=524:s2at=2:ss=axioms_2848 on theBenchmark for (2848ds/524Mi)
% 76.13/16.63 % (3926122)Instruction limit reached!
% 76.13/16.63 % (3926122)------------------------------
% 76.13/16.63 % (3926122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926122)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926122)Termination reason: Instruction limit
% 76.13/16.63 % (3926122)Termination phase: Saturation
% 76.13/16.63 % (3926122)Time elapsed: 0.267 s
% 76.13/16.63 % (3926122)Peak memory usage: 96 MB
% 76.13/16.63 % (3926122)Instructions burned: 524 (million)
% 76.13/16.63 % (3926036)First to succeed.
% 76.13/16.63 % (3926036)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3926028"
% 76.13/16.63 % (3926124)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=506570225:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2844 on theBenchmark for (2844ds/1016Mi)
% 76.13/16.63 % (3926124)Refutation not found, incomplete strategy
% 76.13/16.63 % (3926124)------------------------------
% 76.13/16.63 % (3926124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.13/16.63 % (3926124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.13/16.63 % (3926124)CaDiCaL version: 2.1.3
% 76.13/16.63 % (3926124)Termination reason: Refutation not found, incomplete strategy
% 76.13/16.63 % (3926124)Time elapsed: 0.001 s
% 76.13/16.63 % (3926124)Peak memory usage: 88 MB
% 76.13/16.63 % (3926124)------------------------------
% 76.13/16.63 % (3926124)------------------------------
% 76.13/16.63 % (3926036)Refutation found. Thanks to Tanya!
% 76.13/16.63 % SZS status Theorem for theBenchmark
% 76.13/16.63 % SZS output start Proof for theBenchmark
% See solution above
% 113.68/16.83 % (3926036)------------------------------
% 113.68/16.83 % (3926036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.68/16.83 % (3926036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.68/16.83 % (3926036)CaDiCaL version: 2.1.3
% 113.68/16.83 % (3926036)Termination reason: Refutation
% 113.68/16.83 % (3926036)Time elapsed: 15.500 s
% 113.68/16.83 % (3926036)Peak memory usage: 204 MB
% 113.68/16.83 % (3926036)Instructions burned: 25949 (million)
% 113.68/16.83 % (3926036)------------------------------
% 113.68/16.83 % (3926036)------------------------------
% 113.68/16.83 % (3926028)Success in time 15.964 s
% 113.68/16.83 % Vampire exiting
%------------------------------------------------------------------------------