%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV580+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:59:31 PM UTC 2026
% Result : Theorem 1.99s 0.82s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 38
% Syntax : Number of formulae : 166 ( 72 unt; 31 def)
% Number of atoms : 308 ( 56 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 246 ( 104 ~; 114 |; 12 &)
% ( 15 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 22 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 79 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',subq_def) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',p_ax) ).
fof(f26,conjecture,
subq(u(u(s(u(n(e),n(s(n(e))))),u(s(s(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(p(s(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_2456_2457) ).
fof(f27,negated_conjecture,
~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(s(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(p(s(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(s(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(p(s(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,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,[],[f29]) ).
fof(f33,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,[],[f32]) ).
fof(f34,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))],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f36,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(f37,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,[],[f36]) ).
fof(f40,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f42,plain,
! [X0,X1] :
( subq(X0,X1)
| mem(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f46,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| mem(X0,p(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(s(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(p(s(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f55,f54]) ).
fof(f60,plain,
~ subq(u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(s(s(u(e,s(e))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(p(s(s(u(e,s(e))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f58,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59]) ).
fof(f62,definition,
sF1 = s(e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f63,plain,
s(e) = sF1,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF2 = u(e,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f65,plain,
u(e,sF1) = sF2,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF3 = s(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f67,plain,
s(sF2) = sF3,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f69,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF5 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
u(sF3,sF4) = sF5,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF6 = u(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f73,plain,
u(sF2,sF5) = sF6,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF7 = s(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
s(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = s(sF4),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
s(sF4) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = u(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
u(sF2,sF3) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = s(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
s(sF9) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = s(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
s(sF10) = sF11,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF12 = u(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f85,plain,
u(sF10,sF11) = sF12,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF13 = u(sF8,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f87,plain,
u(sF8,sF12) = sF13,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF14 = u(sF7,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
u(sF7,sF13) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF15 = u(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f91,plain,
u(sF9,sF10) = sF15,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF16 = s(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f93,plain,
s(sF15) = sF16,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF17 = u(sF14,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f95,plain,
u(sF14,sF16) = sF17,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF18 = p(sF4),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f97,plain,
p(sF4) = sF18,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF19 = u(sF18,sF12),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f99,plain,
u(sF18,sF12) = sF19,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF20 = u(sF7,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f101,plain,
u(sF7,sF19) = sF20,
inference(reorient_equations,[],[f100]) ).
fof(f102,definition,
sF21 = u(sF20,sF16),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f103,plain,
u(sF20,sF16) = sF21,
inference(reorient_equations,[],[f102]) ).
fof(f104,plain,
~ subq(sF17,sF21),
inference(definition_folding,[],[f60,f103,f93,f91,f81,f79,f67,f65,f63,f65,f63,f79,f67,f65,f63,f65,f63,f101,f99,f85,f83,f81,f79,f67,f65,f63,f65,f63,f81,f79,f67,f65,f63,f65,f63,f97,f69,f67,f65,f63,f75,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63,f95,f93,f91,f81,f79,f67,f65,f63,f65,f63,f79,f67,f65,f63,f65,f63,f89,f87,f85,f83,f81,f79,f67,f65,f63,f65,f63,f81,f79,f67,f65,f63,f65,f63,f77,f69,f67,f65,f63,f75,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63]) ).
fof(f117,plain,
! [X0] :
( ~ mem(X0,sF8)
| sF4 = X0 ),
inference(superposition,[],[f46,f77]) ).
fof(f125,plain,
mem(sK0(sF17,sF21),sF17),
inference(resolution,[],[f42,f104]) ).
fof(f126,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| mem(X0,p(X1)) ),
inference(resolution,[],[f42,f57]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f49,f43]) ).
fof(f134,plain,
! [X0] :
( ~ mem(X0,sF19)
| mem(X0,sF20) ),
inference(superposition,[],[f49,f101]) ).
fof(f139,plain,
! [X0] :
( ~ mem(X0,sF12)
| mem(X0,sF19) ),
inference(superposition,[],[f49,f99]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f50,f43]) ).
fof(f148,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF20) ),
inference(superposition,[],[f50,f101]) ).
fof(f153,plain,
! [X0] :
( ~ mem(X0,sF18)
| mem(X0,sF19) ),
inference(superposition,[],[f50,f99]) ).
fof(f204,definition,
( spl22_5
<=> sF4 = sK0(sF17,sF21) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f205,plain,
( sF4 != sK0(sF17,sF21)
| spl22_5 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( sF4 = sK0(sF17,sF21)
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f256,plain,
! [X0] :
( ~ mem(X0,sF14)
| mem(X0,sF13)
| mem(X0,sF7) ),
inference(superposition,[],[f48,f89]) ).
fof(f258,plain,
! [X0] :
( ~ mem(X0,sF13)
| mem(X0,sF12)
| mem(X0,sF8) ),
inference(superposition,[],[f48,f87]) ).
fof(f261,plain,
! [X0] :
( ~ mem(X0,sF17)
| mem(X0,sF16)
| mem(X0,sF14) ),
inference(superposition,[],[f48,f95]) ).
fof(f409,definition,
( spl22_32
<=> mem(sK0(sF17,sF21),sF20) ),
introduced(definition,[new_symbols(definition,[spl22_32])],[avatar_definition]) ).
fof(f410,plain,
( ~ mem(sK0(sF17,sF21),sF20)
| spl22_32 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f411,plain,
( mem(sK0(sF17,sF21),sF20)
| ~ spl22_32 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f420,definition,
( spl22_34
<=> mem(sK0(sF17,sF21),sF13) ),
introduced(definition,[new_symbols(definition,[spl22_34])],[avatar_definition]) ).
fof(f421,plain,
( ~ mem(sK0(sF17,sF21),sF13)
| spl22_34 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( mem(sK0(sF17,sF21),sF13)
| ~ spl22_34 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f499,plain,
! [X0] :
( mem(X0,p(X0))
| subq(X0,X0) ),
inference(resolution,[],[f126,f43]) ).
fof(f540,plain,
! [X0] : subq(X0,X0),
inference(forward_subsumption_resolution,[],[f499,f56]) ).
fof(f571,definition,
( spl22_45
<=> mem(sK0(sF17,sF21),sF7) ),
introduced(definition,[new_symbols(definition,[spl22_45])],[avatar_definition]) ).
fof(f572,plain,
( ~ mem(sK0(sF17,sF21),sF7)
| spl22_45 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f573,plain,
( mem(sK0(sF17,sF21),sF7)
| ~ spl22_45 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f582,plain,
( mem(sK0(sF17,sF21),sF12)
| mem(sK0(sF17,sF21),sF8)
| ~ spl22_34 ),
inference(resolution,[],[f258,f422]) ).
fof(f586,definition,
( spl22_46
<=> mem(sK0(sF17,sF21),sF8) ),
introduced(definition,[new_symbols(definition,[spl22_46])],[avatar_definition]) ).
fof(f588,plain,
( mem(sK0(sF17,sF21),sF8)
| ~ spl22_46 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f590,definition,
( spl22_47
<=> mem(sK0(sF17,sF21),sF12) ),
introduced(definition,[new_symbols(definition,[spl22_47])],[avatar_definition]) ).
fof(f592,plain,
( mem(sK0(sF17,sF21),sF12)
| ~ spl22_47 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f593,plain,
( spl22_46
| spl22_47
| ~ spl22_34 ),
inference(avatar_split_clause,[],[f582,f420,f590,f586]) ).
fof(f635,plain,
( mem(sK0(sF17,sF21),sF16)
| mem(sK0(sF17,sF21),sF14) ),
inference(resolution,[],[f261,f125]) ).
fof(f643,definition,
( spl22_52
<=> mem(sK0(sF17,sF21),sF14) ),
introduced(definition,[new_symbols(definition,[spl22_52])],[avatar_definition]) ).
fof(f645,plain,
( mem(sK0(sF17,sF21),sF14)
| ~ spl22_52 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f647,definition,
( spl22_53
<=> mem(sK0(sF17,sF21),sF16) ),
introduced(definition,[new_symbols(definition,[spl22_53])],[avatar_definition]) ).
fof(f649,plain,
( mem(sK0(sF17,sF21),sF16)
| ~ spl22_53 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f651,plain,
( spl22_52
| spl22_53 ),
inference(avatar_split_clause,[],[f635,f647,f643]) ).
fof(f1035,plain,
! [X0] :
( ~ mem(sK0(X0,sF21),sF16)
| subq(X0,sF21) ),
inference(superposition,[],[f128,f103]) ).
fof(f1061,plain,
! [X0] :
( ~ mem(sK0(X0,sF21),sF20)
| subq(X0,sF21) ),
inference(superposition,[],[f142,f103]) ).
fof(f1207,plain,
! [X0] : mem(X0,p(X0)),
inference(resolution,[],[f540,f57]) ).
fof(f1423,definition,
( spl22_108
<=> mem(sK0(sF17,sF21),sF19) ),
introduced(definition,[new_symbols(definition,[spl22_108])],[avatar_definition]) ).
fof(f1424,plain,
( ~ mem(sK0(sF17,sF21),sF19)
| spl22_108 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f1425,plain,
( mem(sK0(sF17,sF21),sF19)
| ~ spl22_108 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f1552,plain,
( subq(sF17,sF21)
| ~ spl22_32 ),
inference(resolution,[],[f411,f1061]) ).
fof(f1556,plain,
( $false
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f1552,f104]) ).
fof(f1557,plain,
~ spl22_32,
inference(avatar_contradiction_clause,[],[f1556]) ).
fof(f1691,definition,
( spl22_119
<=> mem(sF4,sF18) ),
introduced(definition,[new_symbols(definition,[spl22_119])],[avatar_definition]) ).
fof(f1693,plain,
( mem(sF4,sF18)
| ~ spl22_119 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f1975,plain,
( mem(sK0(sF17,sF21),sF20)
| ~ spl22_45 ),
inference(resolution,[],[f573,f148]) ).
fof(f1981,plain,
( $false
| spl22_32
| ~ spl22_45 ),
inference(forward_subsumption_resolution,[],[f1975,f410]) ).
fof(f1982,plain,
( spl22_32
| ~ spl22_45 ),
inference(avatar_contradiction_clause,[],[f1981]) ).
fof(f2074,plain,
( mem(sK0(sF17,sF21),sF13)
| mem(sK0(sF17,sF21),sF7)
| ~ spl22_52 ),
inference(resolution,[],[f645,f256]) ).
fof(f2084,plain,
( sF4 = sK0(sF17,sF21)
| ~ spl22_46 ),
inference(resolution,[],[f588,f117]) ).
fof(f2086,plain,
( $false
| spl22_5
| ~ spl22_46 ),
inference(forward_subsumption_resolution,[],[f2084,f205]) ).
fof(f2087,plain,
( spl22_5
| ~ spl22_46 ),
inference(avatar_contradiction_clause,[],[f2086]) ).
fof(f2088,plain,
( mem(sK0(sF17,sF21),sF7)
| spl22_34
| ~ spl22_52 ),
inference(forward_subsumption_resolution,[],[f2074,f421]) ).
fof(f2089,plain,
( $false
| spl22_34
| spl22_45
| ~ spl22_52 ),
inference(forward_subsumption_resolution,[],[f2088,f572]) ).
fof(f2090,plain,
( spl22_34
| spl22_45
| ~ spl22_52 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2105,plain,
( mem(sK0(sF17,sF21),sF19)
| ~ spl22_47 ),
inference(resolution,[],[f592,f139]) ).
fof(f2108,plain,
( spl22_108
| ~ spl22_47 ),
inference(avatar_split_clause,[],[f2105,f590,f1423]) ).
fof(f2128,plain,
( subq(sF17,sF21)
| ~ spl22_53 ),
inference(resolution,[],[f649,f1035]) ).
fof(f2135,plain,
( $false
| ~ spl22_53 ),
inference(forward_subsumption_resolution,[],[f2128,f104]) ).
fof(f2136,plain,
~ spl22_53,
inference(avatar_contradiction_clause,[],[f2135]) ).
fof(f2257,plain,
( mem(sK0(sF17,sF21),sF20)
| ~ spl22_108 ),
inference(resolution,[],[f1425,f134]) ).
fof(f2259,plain,
( $false
| spl22_32
| ~ spl22_108 ),
inference(forward_subsumption_resolution,[],[f2257,f410]) ).
fof(f2260,plain,
( spl22_32
| ~ spl22_108 ),
inference(avatar_contradiction_clause,[],[f2259]) ).
fof(f2267,plain,
( ~ mem(sF4,sF19)
| ~ spl22_5
| spl22_108 ),
inference(forward_demodulation,[],[f1424,f206]) ).
fof(f6054,plain,
mem(sF4,sF18),
inference(superposition,[],[f1207,f97]) ).
fof(f6130,plain,
spl22_119,
inference(avatar_split_clause,[],[f6054,f1691]) ).
fof(f6263,plain,
( mem(sF4,sF19)
| ~ spl22_119 ),
inference(resolution,[],[f1693,f153]) ).
fof(f6269,plain,
( $false
| ~ spl22_5
| spl22_108
| ~ spl22_119 ),
inference(forward_subsumption_resolution,[],[f6263,f2267]) ).
fof(f6270,plain,
( ~ spl22_5
| spl22_108
| ~ spl22_119 ),
inference(avatar_contradiction_clause,[],[f6269]) ).
cnf(s27,plain,
( ~ spl22_34
| spl22_46
| spl22_47 ),
inference(sat_conversion,[],[f593]) ).
cnf(s30,plain,
( spl22_52
| spl22_53 ),
inference(sat_conversion,[],[f651]) ).
cnf(s95,plain,
~ spl22_32,
inference(sat_conversion,[],[f1557]) ).
cnf(s114,plain,
( spl22_32
| ~ spl22_45 ),
inference(sat_conversion,[],[f1982]) ).
cnf(s118,plain,
( spl22_5
| ~ spl22_46 ),
inference(sat_conversion,[],[f2087]) ).
cnf(s119,plain,
( spl22_34
| spl22_45
| ~ spl22_52 ),
inference(sat_conversion,[],[f2090]) ).
cnf(s120,plain,
( ~ spl22_47
| spl22_108 ),
inference(sat_conversion,[],[f2108]) ).
cnf(s123,plain,
~ spl22_53,
inference(sat_conversion,[],[f2136]) ).
cnf(s139,plain,
( spl22_32
| ~ spl22_108 ),
inference(sat_conversion,[],[f2260]) ).
cnf(s283,plain,
spl22_119,
inference(sat_conversion,[],[f6130]) ).
cnf(s300,plain,
( ~ spl22_5
| spl22_108
| ~ spl22_119 ),
inference(sat_conversion,[],[f6270]) ).
cnf(s310,plain,
~ spl22_108,
inference(rat,[],[s139,s95]) ).
cnf(s311,plain,
~ spl22_45,
inference(rat,[],[s114,s95]) ).
cnf(s312,plain,
~ spl22_5,
inference(rat,[],[s300,s283,s310]) ).
cnf(s313,plain,
~ spl22_47,
inference(rat,[],[s120,s310]) ).
cnf(s314,plain,
~ spl22_46,
inference(rat,[],[s118,s312]) ).
cnf(s319,plain,
spl22_52,
inference(rat,[],[s30,s123]) ).
cnf(s320,plain,
spl22_34,
inference(rat,[],[s119,s311,s319]) ).
cnf(s321,plain,
$false,
inference(rat,[],[s27,s313,s314,s320]) ).
fof(f6271,plain,
$false,
inference(avatar_sat_refutation,[],[s321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV580+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n010.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 06:39:17 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.99/0.82 % (1721971)Will run a generic schedule for satisfiability detection.
% 1.99/0.82 % (1721979)dis+10_1_sil=32000:sp=arity:random_seed=803637256:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.99/0.82 % (1721977)% WARNING: option uhcvi not known.
% 1.99/0.82 % (1721981)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1846979938:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.99/0.82 % (1721976)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4021456731_2999 on theBenchmark for (2999ds/0Mi)
% 1.99/0.82 % (1721977)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2203045521:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.99/0.82 % (1721978)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3910698594:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.99/0.82 % (1721980)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=579349977:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.99/0.82 % (1721982)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2540690841:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.99/0.82 % TRYING [1]
% 1.99/0.82 % TRYING [2]
% 1.99/0.82 % TRYING [3]
% 1.99/0.82 % TRYING [4]
% 1.99/0.82 % TRYING [5]
% 1.99/0.82 % TRYING [6]
% 1.99/0.82 % (1721979)Instruction limit reached!
% 1.99/0.82 % (1721979)------------------------------
% 1.99/0.82 % (1721979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.82 % (1721979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.82 % (1721979)CaDiCaL version: 2.1.3
% 1.99/0.82 % (1721979)Termination reason: Instruction limit
% 1.99/0.82 % (1721979)Termination phase: Saturation
% 1.99/0.82 % (1721979)Time elapsed: 0.036 s
% 1.99/0.82 % (1721979)Peak memory usage: 12 MB
% 1.99/0.82 % (1721979)Instructions burned: 106 (million)
% 1.99/0.82 % TRYING [7]
% 1.99/0.82 % (1721990)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=320666806:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.99/0.82 % TRYING [1]
% 1.99/0.82 % TRYING [2]
% 1.99/0.82 % TRYING [3]
% 1.99/0.82 % TRYING [4]
% 1.99/0.82 % TRYING [5]
% 1.99/0.82 % TRYING [8]
% 1.99/0.82 % TRYING [6]
% 1.99/0.82 % (1721980)Instruction limit reached!
% 1.99/0.82 % (1721980)------------------------------
% 1.99/0.82 % (1721980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.82 % (1721980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.82 % (1721980)CaDiCaL version: 2.1.3
% 1.99/0.82 % (1721980)Termination reason: Instruction limit
% 1.99/0.82 % (1721980)Termination phase: Saturation
% 1.99/0.82 % (1721980)Time elapsed: 0.069 s
% 1.99/0.82 % (1721980)Peak memory usage: 12 MB
% 1.99/0.82 % (1721980)Instructions burned: 116 (million)
% 1.99/0.82 % TRYING [7]
% 1.99/0.82 % (1721981)Instruction limit reached!
% 1.99/0.82 % (1721981)------------------------------
% 1.99/0.82 % (1721981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.82 % (1721981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.82 % (1721981)CaDiCaL version: 2.1.3
% 1.99/0.82 % (1721981)Termination reason: Instruction limit
% 1.99/0.82 % (1721981)Termination phase: Saturation
% 1.99/0.82 % (1721981)Time elapsed: 0.079 s
% 1.99/0.82 % (1721981)Peak memory usage: 12 MB
% 1.99/0.82 % (1721981)Instructions burned: 132 (million)
% 1.99/0.82 % (1721992)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2057063612:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.99/0.82 % (1721993)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2819564570:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.99/0.82 % (1721982)Instruction limit reached!
% 1.99/0.82 % (1721982)------------------------------
% 1.99/0.82 % (1721982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.82 % (1721982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.82 % (1721982)CaDiCaL version: 2.1.3
% 1.99/0.82 % (1721982)Termination reason: Instruction limit
% 1.99/0.82 % (1721982)Termination phase: Saturation
% 1.99/0.82 % (1721982)Time elapsed: 0.102 s
% 1.99/0.82 % (1721982)Peak memory usage: 13 MB
% 1.99/0.82 % (1721982)Instructions burned: 160 (million)
% 1.99/0.82 % TRYING [8]
% 1.99/0.82 % (1721996)ott-21_1_sil=16000:fs=off:random_seed=1443126415:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.99/0.82 % TRYING [9]
% 1.99/0.82 % (1721992)Instruction limit reached!
% 1.99/0.82 % (1721992)------------------------------
% 1.99/0.82 % (1721992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.82 % (1721992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.82 % (1721992)CaDiCaL version: 2.1.3
% 1.99/0.82 % (1721992)Termination reason: Instruction limit
% 1.99/0.82 % (1721992)Termination phase: Saturation
% 1.99/0.82 % (1721992)Time elapsed: 0.084 s
% 1.99/0.82 % (1721992)Peak memory usage: 13 MB
% 1.99/0.82 % (1721992)Instructions burned: 132 (million)
% 1.99/0.82 % (1721998)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1008163245:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.99/0.82 % (1721996)Instruction limit reached!
% 1.99/0.82 % (1721996)------------------------------
% 1.99/0.82 % (1721996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.82 % (1721996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.82 % (1721996)CaDiCaL version: 2.1.3
% 1.99/0.82 % (1721996)Termination reason: Instruction limit
% 1.99/0.82 % (1721996)Termination phase: Saturation
% 1.99/0.82 % (1721996)Time elapsed: 0.092 s
% 1.99/0.82 % (1721996)Peak memory usage: 13 MB
% 1.99/0.82 % (1721996)Instructions burned: 180 (million)
% 1.99/0.82 % (1722000)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1815700742:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.99/0.82 % TRYING [1]
% 1.99/0.82 % TRYING [2]
% 1.99/0.82 % TRYING [3]
% 1.99/0.82 % TRYING [4]
% 1.99/0.82 % (1721990)Instruction limit reached!
% 1.99/0.82 % (1721990)------------------------------
% 1.99/0.82 % (1721990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.82 % (1721990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.82 % (1721990)CaDiCaL version: 2.1.3
% 1.99/0.82 % (1721990)Termination reason: Instruction limit
% 1.99/0.82 % (1721990)Termination phase: Finite model building SAT solving
% 1.99/0.82 % (1721990)Time elapsed: 0.204 s
% 1.99/0.82 % (1721990)Peak memory usage: 19 MB
% 1.99/0.82 % (1721990)Instructions burned: 717 (million)
% 1.99/0.82 % (1722002)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3066460811:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.99/0.82 % TRYING [5]
% 1.99/0.82 % TRYING [6]
% 1.99/0.82 % (1722002) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1721971-1722002"...
% 1.99/0.82 % (1722002)...printing done.
% 1.99/0.82 % (1722002)Refutation found. Thanks to Tanya!
% 1.99/0.82 % SZS status Theorem for theBenchmark
% 1.99/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.82 % (1722002)------------------------------
% 1.99/0.82 % (1722002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.82 % (1722002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.82 % (1722002)CaDiCaL version: 2.1.3
% 1.99/0.82 % (1722002)Termination reason: Refutation
% 1.99/0.82 % (1722002)Time elapsed: 0.070 s
% 1.99/0.82 % (1722002)Peak memory usage: 15 MB
% 1.99/0.82 % (1722002)Instructions burned: 220 (million)
% 1.99/0.82 % (1721971)Success in time 0.376 s
% 1.99/0.82 % Vampire exiting
%------------------------------------------------------------------------------