%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV540+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:57:56 PM UTC 2026
% Result : Theorem 6.81s 2.02s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 34
% Syntax : Number of formulae : 243 ( 67 unt; 23 def)
% Number of atoms : 517 ( 67 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 483 ( 209 ~; 230 |; 18 &)
% ( 21 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 122 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_ax) ).
fof(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast3p_def) ).
fof(f26,conjecture,
atleast3p(u(s(n(e)),a(p(s(s(n(e)))),n(s(n(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast3_83) ).
fof(f27,negated_conjecture,
~ atleast3p(u(s(n(e)),a(p(s(s(n(e)))),n(s(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ atleast3p(u(s(n(e)),a(p(s(s(n(e)))),n(s(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) )
=> atleast3p(X0) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) )
=> atleast2p(X0) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f31,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( atleast2p(X0)
| ! [X1] :
( ~ mem(X1,X0)
| subq(X0,p(X1)) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f35,plain,
! [X0] :
( atleast3p(X0)
| ! [X1] :
( ~ subq(X1,X0)
| ~ atleast2p(X1)
| subq(X0,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f36,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) )
| ~ subq(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f37,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK0(X0,X1),X1)
& mem(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f40]) ).
fof(f44,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f45,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f46,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f47,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f48,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| X0 = X1
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f50,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f51,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f53,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f54,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f58,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f59,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X0,X1] :
( subq(X0,p(X1))
| ~ mem(X1,X0)
| atleast2p(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f63,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| atleast3p(X0)
| ~ atleast2p(X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
~ atleast3p(u(s(n(e)),a(p(s(s(n(e)))),n(s(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f65,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f59,f58]) ).
fof(f66,plain,
~ atleast3p(u(s(u(e,s(e))),u(p(s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f64,f65,f58,f65,f65,f65]) ).
fof(f67,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f51]) ).
fof(f68,definition,
sF1 = s(e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f69,plain,
s(e) = sF1,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF2 = u(e,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f71,plain,
u(e,sF1) = sF2,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF3 = s(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f73,plain,
s(sF2) = sF3,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f75,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF5 = p(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f77,plain,
p(sF4) = sF5,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF6 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f79,plain,
u(sF3,sF4) = sF6,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF7 = s(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f81,plain,
s(sF6) = sF7,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF8 = u(sF5,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f83,plain,
u(sF5,sF7) = sF8,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF9 = u(sF3,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f85,plain,
u(sF3,sF8) = sF9,
inference(reorient_equations,[],[f84]) ).
fof(f86,plain,
~ atleast3p(sF9),
inference(definition_folding,[],[f66,f85,f83,f81,f79,f75,f73,f71,f69,f73,f71,f69,f77,f75,f73,f71,f69,f73,f71,f69]) ).
fof(f87,plain,
mem(e,sF1),
inference(superposition,[],[f67,f69]) ).
fof(f88,plain,
mem(sF2,sF3),
inference(superposition,[],[f67,f73]) ).
fof(f89,plain,
mem(sF3,sF4),
inference(superposition,[],[f67,f75]) ).
fof(f90,plain,
mem(sF6,sF7),
inference(superposition,[],[f67,f81]) ).
fof(f91,plain,
! [X0] :
( ~ mem(X0,sF5)
| subq(X0,sF4) ),
inference(superposition,[],[f60,f77]) ).
fof(f93,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF6) ),
inference(superposition,[],[f53,f79]) ).
fof(f95,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF8) ),
inference(superposition,[],[f53,f83]) ).
fof(f97,plain,
! [X0] :
( ~ mem(X0,sF1)
| e = X0 ),
inference(superposition,[],[f50,f69]) ).
fof(f98,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f50,f73]) ).
fof(f99,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f50,f75]) ).
fof(f100,plain,
! [X0] :
( ~ mem(X0,sF7)
| sF6 = X0 ),
inference(superposition,[],[f50,f81]) ).
fof(f101,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF9) ),
inference(superposition,[],[f54,f85]) ).
fof(f102,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF6) ),
inference(superposition,[],[f54,f79]) ).
fof(f104,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF8) ),
inference(superposition,[],[f54,f83]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f47,f54]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f47,f53]) ).
fof(f107,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f46,f47]) ).
fof(f108,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f46,f49]) ).
fof(f114,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f120,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1)
| mem(X0,e) ),
inference(superposition,[],[f52,f71]) ).
fof(f121,plain,
! [X0] :
( ~ mem(X0,sF8)
| mem(X0,sF7)
| mem(X0,sF5) ),
inference(superposition,[],[f52,f83]) ).
fof(f122,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f120,f49]) ).
fof(f125,plain,
! [X0] :
( ~ subq(X0,sF4)
| mem(X0,sF5) ),
inference(superposition,[],[f61,f77]) ).
fof(f127,plain,
mem(sF2,sF9),
inference(resolution,[],[f88,f101]) ).
fof(f129,plain,
mem(sF6,sF8),
inference(resolution,[],[f90,f95]) ).
fof(f134,plain,
mem(sF3,sF6),
inference(resolution,[],[f93,f89]) ).
fof(f138,plain,
mem(sF2,sF6),
inference(resolution,[],[f102,f88]) ).
fof(f147,plain,
! [X0] :
( mem(sK0(sF2,X0),sF1)
| subq(sF2,X0) ),
inference(resolution,[],[f122,f46]) ).
fof(f160,plain,
! [X0] :
( ~ subq(sF1,X0)
| mem(e,X0) ),
inference(resolution,[],[f45,f87]) ).
fof(f171,plain,
mem(e,sF5),
inference(resolution,[],[f125,f108]) ).
fof(f178,definition,
( spl10_1
<=> subq(sF9,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f227,definition,
( spl10_9
<=> mem(sF6,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f228,plain,
( mem(sF6,sF5)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( ~ mem(sF6,sF5)
| spl10_9 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f240,plain,
( subq(sF2,sF1)
| subq(sF2,sF1) ),
inference(resolution,[],[f147,f47]) ).
fof(f244,plain,
subq(sF2,sF1),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f274,plain,
( sF1 = sF2
| ~ subq(sF1,sF2) ),
inference(resolution,[],[f244,f48]) ).
fof(f276,definition,
( spl10_16
<=> subq(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f278,plain,
( ~ subq(sF1,sF2)
| spl10_16 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f280,definition,
( spl10_17
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f282,plain,
( sF1 = sF2
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,plain,
( ~ spl10_16
| spl10_17 ),
inference(avatar_split_clause,[],[f274,f280,f276]) ).
fof(f362,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f106,f46]) ).
fof(f371,plain,
! [X0] :
( ~ mem(sK0(X0,sF9),sF8)
| subq(X0,sF9) ),
inference(superposition,[],[f106,f85]) ).
fof(f380,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f362]) ).
fof(f382,plain,
( subq(sF8,sF9)
| subq(sF8,sF9) ),
inference(resolution,[],[f371,f46]) ).
fof(f385,plain,
subq(sF8,sF9),
inference(duplicate_literal_removal,[],[f382]) ).
fof(f402,plain,
subq(sF4,sF6),
inference(superposition,[],[f380,f79]) ).
fof(f403,plain,
subq(sF1,sF2),
inference(superposition,[],[f380,f71]) ).
fof(f405,plain,
( $false
| spl10_16 ),
inference(forward_subsumption_resolution,[],[f403,f278]) ).
fof(f406,plain,
spl10_16,
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f408,plain,
( mem(sF1,sF3)
| ~ spl10_17 ),
inference(superposition,[],[f88,f282]) ).
fof(f410,plain,
( mem(sF1,sF9)
| ~ spl10_17 ),
inference(superposition,[],[f127,f282]) ).
fof(f411,plain,
( mem(sF1,sF6)
| ~ spl10_17 ),
inference(superposition,[],[f138,f282]) ).
fof(f429,plain,
( sF4 = sF6
| ~ subq(sF6,sF4) ),
inference(resolution,[],[f402,f48]) ).
fof(f431,definition,
( spl10_20
<=> subq(sF6,sF4) ),
introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition]) ).
fof(f433,plain,
( ~ subq(sF6,sF4)
| spl10_20 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f435,definition,
( spl10_21
<=> sF4 = sF6 ),
introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).
fof(f437,plain,
( sF4 = sF6
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f438,plain,
( ~ spl10_20
| spl10_21 ),
inference(avatar_split_clause,[],[f429,f435,f431]) ).
fof(f486,plain,
! [X0] :
( ~ mem(sF4,X0)
| subq(X0,sF5)
| atleast2p(X0) ),
inference(superposition,[],[f62,f77]) ).
fof(f497,definition,
( spl10_32
<=> atleast2p(sF8) ),
introduced(definition,[new_symbols(definition,[spl10_32])],[avatar_definition]) ).
fof(f498,plain,
( ~ atleast2p(sF8)
| spl10_32 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f499,plain,
( atleast2p(sF8)
| ~ spl10_32 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f552,plain,
mem(sF4,sF5),
inference(resolution,[],[f114,f125]) ).
fof(f562,plain,
mem(sF4,sF8),
inference(resolution,[],[f552,f104]) ).
fof(f564,plain,
( subq(sF8,sF5)
| atleast2p(sF8) ),
inference(resolution,[],[f562,f486]) ).
fof(f571,plain,
! [X0,X1] :
( subq(X0,u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(resolution,[],[f105,f46]) ).
fof(f589,plain,
! [X0,X1] : subq(X0,u(X0,X1)),
inference(duplicate_literal_removal,[],[f571]) ).
fof(f607,plain,
subq(sF5,sF8),
inference(superposition,[],[f589,f83]) ).
fof(f628,plain,
( sF5 = sF8
| ~ subq(sF8,sF5) ),
inference(resolution,[],[f607,f48]) ).
fof(f630,definition,
( spl10_42
<=> subq(sF8,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_42])],[avatar_definition]) ).
fof(f632,plain,
( ~ subq(sF8,sF5)
| spl10_42 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f634,definition,
( spl10_43
<=> sF5 = sF8 ),
introduced(definition,[new_symbols(definition,[spl10_43])],[avatar_definition]) ).
fof(f636,plain,
( sF5 = sF8
| ~ spl10_43 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f637,plain,
( ~ spl10_42
| spl10_43 ),
inference(avatar_split_clause,[],[f628,f634,f630]) ).
fof(f655,plain,
( atleast3p(sF9)
| ~ atleast2p(sF8)
| subq(sF9,sF8) ),
inference(resolution,[],[f385,f63]) ).
fof(f656,plain,
( sF8 = sF9
| ~ subq(sF9,sF8) ),
inference(resolution,[],[f385,f48]) ).
fof(f658,definition,
( spl10_47
<=> sF8 = sF9 ),
introduced(definition,[new_symbols(definition,[spl10_47])],[avatar_definition]) ).
fof(f660,plain,
( sF8 = sF9
| ~ spl10_47 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f661,plain,
( ~ spl10_1
| spl10_47 ),
inference(avatar_split_clause,[],[f656,f658,f178]) ).
fof(f662,plain,
( ~ atleast2p(sF8)
| subq(sF9,sF8) ),
inference(forward_subsumption_resolution,[],[f655,f86]) ).
fof(f663,plain,
( subq(sF9,sF8)
| ~ spl10_32 ),
inference(forward_subsumption_resolution,[],[f662,f499]) ).
fof(f664,plain,
( spl10_1
| ~ spl10_32 ),
inference(avatar_split_clause,[],[f663,f497,f178]) ).
fof(f665,plain,
( atleast2p(sF8)
| spl10_42 ),
inference(forward_subsumption_resolution,[],[f564,f632]) ).
fof(f666,plain,
( $false
| spl10_32
| spl10_42 ),
inference(forward_subsumption_resolution,[],[f665,f498]) ).
fof(f667,plain,
( spl10_32
| spl10_42 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f672,plain,
( mem(sF6,sF5)
| ~ spl10_43 ),
inference(superposition,[],[f129,f636]) ).
fof(f681,plain,
( $false
| spl10_9
| ~ spl10_43 ),
inference(forward_subsumption_resolution,[],[f672,f229]) ).
fof(f682,plain,
( spl10_9
| ~ spl10_43 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f683,plain,
( subq(sF6,sF4)
| ~ spl10_9 ),
inference(resolution,[],[f228,f91]) ).
fof(f686,plain,
( $false
| ~ spl10_9
| spl10_20 ),
inference(forward_subsumption_resolution,[],[f683,f433]) ).
fof(f687,plain,
( ~ spl10_9
| spl10_20 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f699,plain,
( mem(sF1,sF4)
| ~ spl10_17
| ~ spl10_21 ),
inference(superposition,[],[f411,f437]) ).
fof(f730,definition,
( spl10_48
<=> mem(sF1,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_48])],[avatar_definition]) ).
fof(f731,plain,
( ~ mem(sF1,sF5)
| spl10_48 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f732,plain,
( mem(sF1,sF5)
| ~ spl10_48 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f746,plain,
( subq(sF1,sF4)
| ~ spl10_48 ),
inference(resolution,[],[f732,f91]) ).
fof(f750,plain,
( mem(e,sF4)
| ~ spl10_48 ),
inference(resolution,[],[f746,f160]) ).
fof(f759,definition,
( spl10_53
<=> sF1 = sF4 ),
introduced(definition,[new_symbols(definition,[spl10_53])],[avatar_definition]) ).
fof(f760,plain,
( sF1 != sF4
| spl10_53 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f761,plain,
( sF1 = sF4
| ~ spl10_53 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f763,plain,
( e = sF3
| ~ spl10_48 ),
inference(resolution,[],[f750,f99]) ).
fof(f767,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl10_48 ),
inference(superposition,[],[f49,f763]) ).
fof(f768,plain,
( sF1 = s(sF3)
| ~ spl10_48 ),
inference(superposition,[],[f69,f763]) ).
fof(f780,plain,
( sF1 = sF4
| ~ spl10_48 ),
inference(forward_demodulation,[],[f768,f75]) ).
fof(f781,plain,
( spl10_53
| ~ spl10_48 ),
inference(avatar_split_clause,[],[f780,f730,f759]) ).
fof(f791,plain,
( mem(sF4,sF3)
| ~ spl10_17
| ~ spl10_53 ),
inference(superposition,[],[f408,f761]) ).
fof(f797,plain,
( $false
| ~ spl10_17
| ~ spl10_48
| ~ spl10_53 ),
inference(forward_subsumption_resolution,[],[f791,f767]) ).
fof(f798,plain,
( ~ spl10_17
| ~ spl10_48
| ~ spl10_53 ),
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f815,plain,
( ~ mem(sF4,sF5)
| spl10_48
| ~ spl10_53 ),
inference(forward_demodulation,[],[f731,f761]) ).
fof(f822,plain,
( $false
| spl10_48
| ~ spl10_53 ),
inference(forward_subsumption_resolution,[],[f815,f552]) ).
fof(f823,plain,
( spl10_48
| ~ spl10_53 ),
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f867,definition,
( spl10_57
<=> e = sF1 ),
introduced(definition,[new_symbols(definition,[spl10_57])],[avatar_definition]) ).
fof(f868,plain,
( e != sF1
| spl10_57 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f869,plain,
( e = sF1
| ~ spl10_57 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f872,definition,
( spl10_58
<=> mem(e,sF4) ),
introduced(definition,[new_symbols(definition,[spl10_58])],[avatar_definition]) ).
fof(f873,plain,
( ~ mem(e,sF4)
| spl10_58 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f874,plain,
( mem(e,sF4)
| ~ spl10_58 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f883,plain,
( mem(sF1,sF5)
| ~ spl10_57 ),
inference(superposition,[],[f171,f869]) ).
fof(f888,plain,
( $false
| spl10_48
| ~ spl10_57 ),
inference(forward_subsumption_resolution,[],[f883,f731]) ).
fof(f889,plain,
( spl10_48
| ~ spl10_57 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f895,plain,
( e = sF3
| ~ spl10_58 ),
inference(resolution,[],[f874,f99]) ).
fof(f900,plain,
( sF1 = s(sF3)
| ~ spl10_58 ),
inference(superposition,[],[f69,f895]) ).
fof(f913,plain,
( sF1 = sF4
| ~ spl10_58 ),
inference(forward_demodulation,[],[f900,f75]) ).
fof(f914,plain,
( $false
| spl10_53
| ~ spl10_58 ),
inference(forward_subsumption_resolution,[],[f913,f760]) ).
fof(f915,plain,
( spl10_53
| ~ spl10_58 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f1051,plain,
( sF1 = sF3
| ~ spl10_17
| ~ spl10_21 ),
inference(resolution,[],[f699,f99]) ).
fof(f1055,plain,
( mem(e,sF3)
| ~ spl10_17
| ~ spl10_21 ),
inference(superposition,[],[f87,f1051]) ).
fof(f1080,plain,
( mem(e,sF6)
| ~ spl10_17
| ~ spl10_21 ),
inference(resolution,[],[f1055,f102]) ).
fof(f1081,plain,
( e = sF2
| ~ spl10_17
| ~ spl10_21 ),
inference(resolution,[],[f1055,f98]) ).
fof(f1084,plain,
( e = sF1
| ~ spl10_17
| ~ spl10_21 ),
inference(forward_demodulation,[],[f1081,f282]) ).
fof(f1085,plain,
( mem(e,sF4)
| ~ spl10_17
| ~ spl10_21 ),
inference(forward_demodulation,[],[f1080,f437]) ).
fof(f1086,plain,
( $false
| ~ spl10_17
| ~ spl10_21
| spl10_57 ),
inference(forward_subsumption_resolution,[],[f1084,f868]) ).
fof(f1087,plain,
( ~ spl10_17
| ~ spl10_21
| spl10_57 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1088,plain,
( $false
| ~ spl10_17
| ~ spl10_21
| spl10_58 ),
inference(forward_subsumption_resolution,[],[f1085,f873]) ).
fof(f1089,plain,
( ~ spl10_17
| ~ spl10_21
| spl10_58 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
fof(f1125,plain,
( mem(sF1,sF8)
| ~ spl10_17
| ~ spl10_47 ),
inference(superposition,[],[f410,f660]) ).
fof(f1219,plain,
( mem(sF1,sF7)
| mem(sF1,sF5)
| ~ spl10_17
| ~ spl10_47 ),
inference(resolution,[],[f1125,f121]) ).
fof(f1222,plain,
( mem(sF1,sF7)
| ~ spl10_17
| ~ spl10_47
| spl10_48 ),
inference(forward_subsumption_resolution,[],[f1219,f731]) ).
fof(f1223,plain,
( sF1 = sF6
| ~ spl10_17
| ~ spl10_47
| spl10_48 ),
inference(resolution,[],[f1222,f100]) ).
fof(f1233,plain,
( mem(sF3,sF1)
| ~ spl10_17
| ~ spl10_47
| spl10_48 ),
inference(superposition,[],[f134,f1223]) ).
fof(f1275,plain,
( e = sF3
| ~ spl10_17
| ~ spl10_47
| spl10_48 ),
inference(resolution,[],[f1233,f97]) ).
fof(f1280,plain,
( sF1 = s(sF3)
| ~ spl10_17
| ~ spl10_47
| spl10_48 ),
inference(superposition,[],[f69,f1275]) ).
fof(f1299,plain,
( sF1 = sF4
| ~ spl10_17
| ~ spl10_47
| spl10_48 ),
inference(forward_demodulation,[],[f1280,f75]) ).
fof(f1300,plain,
( $false
| ~ spl10_17
| ~ spl10_47
| spl10_48
| spl10_53 ),
inference(forward_subsumption_resolution,[],[f1299,f760]) ).
fof(f1301,plain,
( ~ spl10_17
| ~ spl10_47
| spl10_48
| spl10_53 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
cnf(s8,plain,
( ~ spl10_16
| spl10_17 ),
inference(sat_conversion,[],[f283]) ).
cnf(s11,plain,
spl10_16,
inference(sat_conversion,[],[f406]) ).
cnf(s12,plain,
( ~ spl10_20
| spl10_21 ),
inference(sat_conversion,[],[f438]) ).
cnf(s24,plain,
( ~ spl10_42
| spl10_43 ),
inference(sat_conversion,[],[f637]) ).
cnf(s27,plain,
( ~ spl10_1
| spl10_47 ),
inference(sat_conversion,[],[f661]) ).
cnf(s28,plain,
( spl10_1
| ~ spl10_32 ),
inference(sat_conversion,[],[f664]) ).
cnf(s29,plain,
( spl10_32
| spl10_42 ),
inference(sat_conversion,[],[f667]) ).
cnf(s30,plain,
( spl10_9
| ~ spl10_43 ),
inference(sat_conversion,[],[f682]) ).
cnf(s31,plain,
( ~ spl10_9
| spl10_20 ),
inference(sat_conversion,[],[f687]) ).
cnf(s36,plain,
( ~ spl10_48
| spl10_53 ),
inference(sat_conversion,[],[f781]) ).
cnf(s37,plain,
( ~ spl10_17
| ~ spl10_48
| ~ spl10_53 ),
inference(sat_conversion,[],[f798]) ).
cnf(s40,plain,
( spl10_48
| ~ spl10_53 ),
inference(sat_conversion,[],[f823]) ).
cnf(s45,plain,
( spl10_48
| ~ spl10_57 ),
inference(sat_conversion,[],[f889]) ).
cnf(s47,plain,
( spl10_53
| ~ spl10_58 ),
inference(sat_conversion,[],[f915]) ).
cnf(s49,plain,
( ~ spl10_17
| ~ spl10_21
| spl10_57 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s50,plain,
( ~ spl10_17
| ~ spl10_21
| spl10_58 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s60,plain,
( ~ spl10_17
| ~ spl10_47
| spl10_48
| spl10_53 ),
inference(sat_conversion,[],[f1301]) ).
cnf(s62,plain,
spl10_17,
inference(rat,[],[s8,s11]) ).
cnf(s66,plain,
~ spl10_21,
inference(rat,[],[s37,s45,s47,s49,s50,s62]) ).
cnf(s67,plain,
~ spl10_20,
inference(rat,[],[s12,s66]) ).
cnf(s68,plain,
~ spl10_9,
inference(rat,[],[s31,s67]) ).
cnf(s69,plain,
~ spl10_43,
inference(rat,[],[s30,s68]) ).
cnf(s70,plain,
~ spl10_42,
inference(rat,[],[s24,s69]) ).
cnf(s71,plain,
spl10_32,
inference(rat,[],[s29,s70]) ).
cnf(s72,plain,
spl10_1,
inference(rat,[],[s28,s71]) ).
cnf(s73,plain,
spl10_47,
inference(rat,[],[s27,s72]) ).
cnf(s76,plain,
~ spl10_48,
inference(rat,[],[s36,s37,s62]) ).
cnf(s78,plain,
~ spl10_53,
inference(rat,[],[s40,s76]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s60,s73,s62,s78,s76]) ).
fof(f1302,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV540+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n013.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 06:31:07 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.81/2.01 % (978457)Detected formulas, will run a generic FOF schedule.
% 6.81/2.01 % (978463)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=2356011149:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.81/2.01 % (978465)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=540406753:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.81/2.01 % (978465)Refutation not found, incomplete strategy
% 6.81/2.01 % (978465)------------------------------
% 6.81/2.01 % (978465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978465)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978465)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.01 % (978465)Time elapsed: 0.001 s
% 6.81/2.01 % (978465)Peak memory usage: 88 MB
% 6.81/2.01 % (978462)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=1934387636:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.81/2.01 % (978464)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=1714200305:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.81/2.01 % (978466)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=674243223:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.81/2.01 % (978468)dis-21_1_sil=8000:lcm=predicate:random_seed=1608234167:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.81/2.01 % (978467)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2224254309:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.81/2.01 % (978466)Instruction limit reached!
% 6.81/2.01 % (978466)------------------------------
% 6.81/2.01 % (978466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978466)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978466)Termination reason: Instruction limit
% 6.81/2.01 % (978466)Termination phase: Saturation
% 6.81/2.01 % (978466)Time elapsed: 0.074 s
% 6.81/2.01 % (978466)Peak memory usage: 88 MB
% 6.81/2.01 % (978466)Instructions burned: 120 (million)
% 6.81/2.01 % (978468)Instruction limit reached!
% 6.81/2.01 % (978468)------------------------------
% 6.81/2.01 % (978468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978468)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978468)Termination reason: Instruction limit
% 6.81/2.01 % (978468)Termination phase: Saturation
% 6.81/2.01 % (978468)Time elapsed: 0.081 s
% 6.81/2.01 % (978468)Peak memory usage: 89 MB
% 6.81/2.01 % (978468)Instructions burned: 130 (million)
% 6.81/2.01 % (978467)Instruction limit reached!
% 6.81/2.01 % (978467)------------------------------
% 6.81/2.01 % (978467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978467)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978467)Termination reason: Instruction limit
% 6.81/2.01 % (978467)Termination phase: Saturation
% 6.81/2.01 % (978467)Time elapsed: 0.092 s
% 6.81/2.01 % (978467)Peak memory usage: 89 MB
% 6.81/2.01 % (978467)Instructions burned: 140 (million)
% 6.81/2.01 % (978477)lrs+10_1_sil=32000:urr=on:br=off:random_seed=103387143:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.81/2.01 % (978476)lrs+10_1_sil=8000:sp=occurrence:random_seed=469449914:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.81/2.01 % (978478)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1543504519:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.81/2.01 % (978478)Refutation not found, incomplete strategy
% 6.81/2.01 % (978478)------------------------------
% 6.81/2.01 % (978478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978478)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978478)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.01 % (978478)Time elapsed: 0.001 s
% 6.81/2.01 % (978478)Peak memory usage: 88 MB
% 6.81/2.01 % (978478)Instructions burned: 1 (million)
% 6.81/2.01 % (978465)------------------------------
% 6.81/2.01 % (978465)------------------------------
% 6.81/2.01 % (978477)Instruction limit reached!
% 6.81/2.01 % (978477)------------------------------
% 6.81/2.01 % (978477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978477)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978477)Termination reason: Instruction limit
% 6.81/2.01 % (978477)Termination phase: Saturation
% 6.81/2.01 % (978477)Time elapsed: 0.075 s
% 6.81/2.01 % (978477)Peak memory usage: 89 MB
% 6.81/2.01 % (978477)Instructions burned: 157 (million)
% 6.81/2.01 % (978482)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=2846796658:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.81/2.01 % (978476)Instruction limit reached!
% 6.81/2.01 % (978476)------------------------------
% 6.81/2.01 % (978476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978476)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978476)Termination reason: Instruction limit
% 6.81/2.01 % (978476)Termination phase: Saturation
% 6.81/2.01 % (978476)Time elapsed: 0.184 s
% 6.81/2.01 % (978476)Peak memory usage: 91 MB
% 6.81/2.01 % (978476)Instructions burned: 286 (million)
% 6.81/2.01 % (978483)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2088293479:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.81/2.01 % (978483)Refutation not found, incomplete strategy
% 6.81/2.01 % (978483)------------------------------
% 6.81/2.01 % (978483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978483)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978483)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.01 % (978483)Time elapsed: 0.001 s
% 6.81/2.01 % (978483)Peak memory usage: 88 MB
% 6.81/2.01 % (978483)Instructions burned: 1 (million)
% 6.81/2.01 % (978478)------------------------------
% 6.81/2.01 % (978478)------------------------------
% 6.81/2.01 % (978482)Instruction limit reached!
% 6.81/2.01 % (978482)------------------------------
% 6.81/2.01 % (978482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.01 % (978482)CaDiCaL version: 2.1.3
% 6.81/2.01 % (978482)Termination reason: Instruction limit
% 6.81/2.01 % (978482)Termination phase: Saturation
% 6.81/2.01 % (978482)Time elapsed: 0.141 s
% 6.81/2.01 % (978482)Peak memory usage: 91 MB
% 6.81/2.01 % (978482)Instructions burned: 249 (million)
% 6.81/2.01 % (978485)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1192915388:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.81/2.01 % (978464)Refutation not found, incomplete strategy
% 6.81/2.01 % (978464)------------------------------
% 6.81/2.01 % (978464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.01 % (978464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.02 % (978464)CaDiCaL version: 2.1.3
% 6.81/2.02 % (978464)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.02 % (978464)Time elapsed: 0.555 s
% 6.81/2.02 % (978464)Peak memory usage: 126 MB
% 6.81/2.02 % (978464)Instructions burned: 828 (million)
% 6.81/2.02 % (978487)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=712436828:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.81/2.02 % (978488)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=132664577:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.81/2.02 % (978483)------------------------------
% 6.81/2.02 % (978483)------------------------------
% 6.81/2.02 % (978487)Instruction limit reached!
% 6.81/2.02 % (978487)------------------------------
% 6.81/2.02 % (978487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.02 % (978487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.02 % (978487)CaDiCaL version: 2.1.3
% 6.81/2.02 % (978487)Termination reason: Instruction limit
% 6.81/2.02 % (978487)Termination phase: Saturation
% 6.81/2.02 % (978487)Time elapsed: 0.069 s
% 6.81/2.02 % (978487)Peak memory usage: 89 MB
% 6.81/2.02 % (978487)Instructions burned: 113 (million)
% 6.81/2.02 % (978488)Instruction limit reached!
% 6.81/2.02 % (978488)------------------------------
% 6.81/2.02 % (978488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.02 % (978488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.02 % (978488)CaDiCaL version: 2.1.3
% 6.81/2.02 % (978488)Termination reason: Instruction limit
% 6.81/2.02 % (978488)Termination phase: Saturation
% 6.81/2.02 % (978488)Time elapsed: 0.063 s
% 6.81/2.02 % (978488)Peak memory usage: 88 MB
% 6.81/2.02 % (978488)Instructions burned: 127 (million)
% 6.81/2.02 % (978462)First to succeed.
% 6.81/2.02 % (978462)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-978457"
% 6.81/2.02 % (978492)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=64313022:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.81/2.02 % (978464)------------------------------
% 6.81/2.02 % (978464)------------------------------
% 6.81/2.02 % (978493)lrs+10_1_sil=8000:sp=occurrence:random_seed=770267412:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.81/2.02 % (978492)Instruction limit reached!
% 6.81/2.02 % (978492)------------------------------
% 6.81/2.02 % (978492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.02 % (978492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.02 % (978492)CaDiCaL version: 2.1.3
% 6.81/2.02 % (978492)Termination reason: Instruction limit
% 6.81/2.02 % (978492)Termination phase: Saturation
% 6.81/2.02 % (978492)Time elapsed: 0.071 s
% 6.81/2.02 % (978492)Peak memory usage: 89 MB
% 6.81/2.02 % (978492)Instructions burned: 114 (million)
% 6.81/2.02 % (978494)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2821182901:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.81/2.02 % (978494)Refutation not found, incomplete strategy
% 6.81/2.02 % (978494)------------------------------
% 6.81/2.02 % (978494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/2.02 % (978494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/2.02 % (978494)CaDiCaL version: 2.1.3
% 6.81/2.02 % (978494)Termination reason: Refutation not found, incomplete strategy
% 6.81/2.02 % (978494)Time elapsed: 0.001 s
% 6.81/2.02 % (978494)Peak memory usage: 88 MB
% 6.81/2.02 % (978497)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3238088488:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.81/2.02 % (978499)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2064125115:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.81/2.02 % (978462)Refutation found. Thanks to Tanya!
% 6.81/2.02 % SZS status Theorem for theBenchmark
% 6.81/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.21 % (978462)------------------------------
% 0.18/2.21 % (978462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.21 % (978462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.21 % (978462)CaDiCaL version: 2.1.3
% 0.18/2.21 % (978462)Termination reason: Refutation
% 0.18/2.21 % (978462)Time elapsed: 0.738 s
% 0.18/2.21 % (978462)Peak memory usage: 130 MB
% 0.18/2.21 % (978462)Instructions burned: 1085 (million)
% 0.18/2.21 % (978462)------------------------------
% 0.18/2.21 % (978462)------------------------------
% 0.18/2.21 % (978457)Success in time 1.154 s
% 0.18/2.21 % Vampire exiting
%------------------------------------------------------------------------------