%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX203+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:46:42 PM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 33
% Syntax : Number of formulae : 210 ( 62 unt; 15 def)
% Number of atoms : 555 ( 103 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 609 ( 264 ~; 307 |; 15 &)
% ( 19 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 230 ( 0 sgn 228 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : proj1S(s(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).
fof(f5,axiom,
! [X0] : z != s(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
fof(f6,axiom,
! [X0] : leqNat(z,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
fof(f7,axiom,
! [X0] : ~ leqNat(s(X0),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
fof(f8,axiom,
! [X0,X1] :
( leqNat(s(X0),s(X1))
<=> leqNat(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
fof(f10,axiom,
! [X0] : sorted(cons(X0,nil)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
fof(f11,axiom,
! [X0,X1,X2] :
( sorted(cons(X0,cons(X1,X2)))
<=> ( leqNat(X0,X1)
& sorted(cons(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).
fof(f12,axiom,
lengthNat(nil) = z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
fof(f13,axiom,
! [X0,X1] : lengthNat(cons(X0,X1)) = s(lengthNat(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(f14,axiom,
! [X0] : ~ elemNat(X0,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014) ).
fof(f15,axiom,
! [X0,X1,X2] :
( elemNat(X0,cons(X1,X2))
<=> ( X0 = X1
| elemNat(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
fof(f16,axiom,
unique(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f17,axiom,
! [X0,X1] :
( unique(cons(X0,X1))
<=> ( ~ elemNat(X0,X1)
& unique(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).
fof(f18,axiom,
! [X0] : append(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_018) ).
fof(f19,axiom,
! [X0,X1,X2] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
fof(f20,axiom,
rev(nil) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).
fof(f21,axiom,
! [X0,X1] : rev(cons(X0,X1)) = append(rev(X1),cons(X0,nil)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_021) ).
fof(f22,conjecture,
? [X0] :
~ ( sorted(rev(X0))
=> ( unique(X0)
=> leqNat(lengthNat(X0),s(s(s(z)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_022) ).
fof(f23,negated_conjecture,
~ ? [X0] :
~ ( sorted(rev(X0))
=> ( unique(X0)
=> leqNat(lengthNat(X0),s(s(s(z)))) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f24,plain,
! [X0] :
( leqNat(lengthNat(X0),s(s(s(z))))
| ~ unique(X0)
| ~ sorted(rev(X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f25,plain,
! [X0] :
( leqNat(lengthNat(X0),s(s(s(z))))
| ~ unique(X0)
| ~ sorted(rev(X0)) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( leqNat(s(X0),s(X1))
| ~ leqNat(X0,X1) )
& ( leqNat(X0,X1)
| ~ leqNat(s(X0),s(X1)) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( sorted(cons(X0,cons(X1,X2)))
| ~ leqNat(X0,X1)
| ~ sorted(cons(X1,X2)) )
& ( ( leqNat(X0,X1)
& sorted(cons(X1,X2)) )
| ~ sorted(cons(X0,cons(X1,X2))) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( sorted(cons(X0,cons(X1,X2)))
| ~ leqNat(X0,X1)
| ~ sorted(cons(X1,X2)) )
& ( ( leqNat(X0,X1)
& sorted(cons(X1,X2)) )
| ~ sorted(cons(X0,cons(X1,X2))) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( elemNat(X0,cons(X1,X2))
| ( X0 != X1
& ~ elemNat(X0,X2) ) )
& ( X0 = X1
| elemNat(X0,X2)
| ~ elemNat(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( elemNat(X0,cons(X1,X2))
| ( X0 != X1
& ~ elemNat(X0,X2) ) )
& ( X0 = X1
| elemNat(X0,X2)
| ~ elemNat(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( unique(cons(X0,X1))
| elemNat(X0,X1)
| ~ unique(X1) )
& ( ( ~ elemNat(X0,X1)
& unique(X1) )
| ~ unique(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0,X1] :
( ( unique(cons(X0,X1))
| elemNat(X0,X1)
| ~ unique(X1) )
& ( ( ~ elemNat(X0,X1)
& unique(X1) )
| ~ unique(cons(X0,X1)) ) ),
inference(flattening,[],[f31]) ).
fof(f36,plain,
! [X0] : proj1S(s(X0)) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f37,plain,
! [X0] : s(X0) != z,
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X0] : leqNat(z,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0] : ~ leqNat(s(X0),z),
inference(cnf_transformation,[],[f7]) ).
fof(f40,plain,
! [X0,X1] :
( ~ leqNat(s(X0),s(X1))
| leqNat(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
! [X0,X1] :
( leqNat(s(X0),s(X1))
| ~ leqNat(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
! [X0] : sorted(cons(X0,nil)),
inference(cnf_transformation,[],[f10]) ).
fof(f46,plain,
! [X2,X0,X1] :
( sorted(cons(X0,cons(X1,X2)))
| ~ leqNat(X0,X1)
| ~ sorted(cons(X1,X2)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
z = lengthNat(nil),
inference(cnf_transformation,[],[f12]) ).
fof(f48,plain,
! [X0,X1] : lengthNat(cons(X0,X1)) = s(lengthNat(X1)),
inference(cnf_transformation,[],[f13]) ).
fof(f49,plain,
! [X0] : ~ elemNat(X0,nil),
inference(cnf_transformation,[],[f14]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ elemNat(X0,cons(X1,X2))
| elemNat(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
unique(nil),
inference(cnf_transformation,[],[f16]) ).
fof(f56,plain,
! [X0,X1] :
( unique(cons(X0,X1))
| elemNat(X0,X1)
| ~ unique(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
! [X0] : append(nil,X0) = X0,
inference(cnf_transformation,[],[f18]) ).
fof(f58,plain,
! [X2,X0,X1] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f59,plain,
nil = rev(nil),
inference(cnf_transformation,[],[f20]) ).
fof(f60,plain,
! [X0,X1] : rev(cons(X0,X1)) = append(rev(X1),cons(X0,nil)),
inference(cnf_transformation,[],[f21]) ).
fof(f61,plain,
! [X0] :
( leqNat(lengthNat(X0),s(s(s(z))))
| ~ unique(X0)
| ~ sorted(rev(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f65,plain,
! [X0,X1] :
( ~ sorted(rev(cons(X1,X0)))
| ~ unique(cons(X1,X0))
| leqNat(s(lengthNat(X0)),s(s(s(z)))) ),
inference(superposition,[],[f61,f48]) ).
fof(f70,plain,
! [X0] : rev(cons(X0,nil)) = append(nil,cons(X0,nil)),
inference(superposition,[],[f60,f59]) ).
fof(f71,plain,
! [X0] : cons(X0,nil) = rev(cons(X0,nil)),
inference(forward_demodulation,[],[f70,f57]) ).
fof(f75,plain,
! [X0,X1] : rev(cons(X1,cons(X0,nil))) = append(cons(X0,nil),cons(X1,nil)),
inference(superposition,[],[f60,f71]) ).
fof(f76,plain,
! [X0,X1] : rev(cons(X1,cons(X0,nil))) = cons(X0,append(nil,cons(X1,nil))),
inference(forward_demodulation,[],[f75,f58]) ).
fof(f78,plain,
! [X0,X1] : rev(cons(X1,cons(X0,nil))) = cons(X0,cons(X1,nil)),
inference(forward_demodulation,[],[f76,f57]) ).
fof(f89,plain,
! [X0,X1] :
( ~ sorted(cons(X0,cons(X1,nil)))
| ~ unique(cons(X1,cons(X0,nil)))
| leqNat(s(lengthNat(cons(X0,nil))),s(s(s(z)))) ),
inference(superposition,[],[f65,f78]) ).
fof(f90,plain,
! [X2,X0,X1] : rev(cons(X2,cons(X1,cons(X0,nil)))) = append(cons(X0,cons(X1,nil)),cons(X2,nil)),
inference(superposition,[],[f60,f78]) ).
fof(f91,plain,
! [X2,X0,X1] : rev(cons(X2,cons(X1,cons(X0,nil)))) = cons(X0,append(cons(X1,nil),cons(X2,nil))),
inference(forward_demodulation,[],[f90,f58]) ).
fof(f92,plain,
! [X0,X1] :
( leqNat(s(s(lengthNat(nil))),s(s(s(z))))
| ~ sorted(cons(X0,cons(X1,nil)))
| ~ unique(cons(X1,cons(X0,nil))) ),
inference(forward_demodulation,[],[f89,f48]) ).
fof(f93,plain,
! [X2,X0,X1] : rev(cons(X2,cons(X1,cons(X0,nil)))) = cons(X0,cons(X1,append(nil,cons(X2,nil)))),
inference(forward_demodulation,[],[f91,f58]) ).
fof(f94,plain,
! [X0,X1] :
( leqNat(s(s(z)),s(s(s(z))))
| ~ sorted(cons(X0,cons(X1,nil)))
| ~ unique(cons(X1,cons(X0,nil))) ),
inference(forward_demodulation,[],[f92,f47]) ).
fof(f95,plain,
! [X2,X0,X1] : rev(cons(X2,cons(X1,cons(X0,nil)))) = cons(X0,cons(X1,cons(X2,nil))),
inference(forward_demodulation,[],[f93,f57]) ).
fof(f97,definition,
( spl0_3
<=> ! [X0,X1] :
( ~ sorted(cons(X0,cons(X1,nil)))
| ~ unique(cons(X1,cons(X0,nil))) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f98,plain,
( ! [X0,X1] :
( ~ unique(cons(X1,cons(X0,nil)))
| ~ sorted(cons(X0,cons(X1,nil))) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,definition,
( spl0_4
<=> leqNat(s(s(z)),s(s(s(z)))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f102,plain,
( leqNat(s(s(z)),s(s(s(z))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f94,f100,f97]) ).
fof(f104,plain,
( ! [X0,X1] :
( ~ sorted(cons(X0,cons(X1,nil)))
| elemNat(X1,cons(X0,nil))
| ~ unique(cons(X0,nil)) )
| ~ spl0_3 ),
inference(resolution,[],[f98,f56]) ).
fof(f105,plain,
( ! [X0,X1] :
( elemNat(X0,cons(X1,nil))
| ~ unique(cons(X1,nil))
| ~ leqNat(X1,X0)
| ~ sorted(cons(X0,nil)) )
| ~ spl0_3 ),
inference(resolution,[],[f104,f46]) ).
fof(f106,plain,
( ! [X0,X1] :
( elemNat(X0,cons(X1,nil))
| ~ unique(cons(X1,nil))
| ~ leqNat(X1,X0) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f105,f43]) ).
fof(f108,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = append(cons(X0,cons(X1,cons(X2,nil))),cons(X3,nil)),
inference(superposition,[],[f60,f95]) ).
fof(f109,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = cons(X0,append(cons(X1,cons(X2,nil)),cons(X3,nil))),
inference(forward_demodulation,[],[f108,f58]) ).
fof(f111,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = cons(X0,cons(X1,append(cons(X2,nil),cons(X3,nil)))),
inference(forward_demodulation,[],[f109,f58]) ).
fof(f113,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = cons(X0,cons(X1,cons(X2,append(nil,cons(X3,nil))))),
inference(forward_demodulation,[],[f111,f58]) ).
fof(f115,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = cons(X0,cons(X1,cons(X2,cons(X3,nil)))),
inference(forward_demodulation,[],[f113,f57]) ).
fof(f124,plain,
( ! [X0,X1] :
( ~ unique(cons(X0,nil))
| ~ leqNat(X0,X1)
| elemNat(X1,nil)
| X0 = X1 )
| ~ spl0_3 ),
inference(resolution,[],[f106,f50]) ).
fof(f125,plain,
( ! [X0,X1] :
( ~ unique(cons(X0,nil))
| ~ leqNat(X0,X1)
| X0 = X1 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f124,f49]) ).
fof(f127,plain,
( ! [X0,X1] :
( ~ leqNat(X0,X1)
| X0 = X1
| elemNat(X0,nil)
| ~ unique(nil) )
| ~ spl0_3 ),
inference(resolution,[],[f125,f56]) ).
fof(f128,plain,
( ! [X0,X1] :
( ~ leqNat(X0,X1)
| X0 = X1
| elemNat(X0,nil) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f127,f53]) ).
fof(f129,plain,
( ! [X0,X1] :
( ~ leqNat(X0,X1)
| X0 = X1 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f128,f49]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil)))))
| ~ unique(cons(X3,cons(X2,cons(X1,cons(X0,nil)))))
| leqNat(s(lengthNat(cons(X2,cons(X1,cons(X0,nil))))),s(s(s(z)))) ),
inference(superposition,[],[f65,f115]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( leqNat(s(s(lengthNat(cons(X1,cons(X0,nil))))),s(s(s(z))))
| ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil)))))
| ~ unique(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) ),
inference(forward_demodulation,[],[f130,f48]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( leqNat(s(s(s(lengthNat(cons(X0,nil))))),s(s(s(z))))
| ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil)))))
| ~ unique(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) ),
inference(forward_demodulation,[],[f133,f48]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( leqNat(s(s(s(s(lengthNat(nil))))),s(s(s(z))))
| ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil)))))
| ~ unique(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) ),
inference(forward_demodulation,[],[f135,f48]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( leqNat(s(s(s(s(z)))),s(s(s(z))))
| ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil)))))
| ~ unique(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) ),
inference(forward_demodulation,[],[f137,f47]) ).
fof(f142,definition,
( spl0_7
<=> ! [X0,X3,X2,X1] :
( ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil)))))
| ~ unique(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f143,plain,
( ! [X2,X3,X0,X1] :
( ~ unique(cons(X3,cons(X2,cons(X1,cons(X0,nil)))))
| ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil))))) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,definition,
( spl0_8
<=> leqNat(s(s(s(s(z)))),s(s(s(z)))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f147,plain,
( leqNat(s(s(s(s(z)))),s(s(s(z))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f139,f145,f142]) ).
fof(f150,plain,
( ! [X0] : z = X0
| ~ spl0_3 ),
inference(resolution,[],[f129,f38]) ).
fof(f153,plain,
( ! [X2,X3,X0,X1] :
( ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil)))))
| elemNat(X3,cons(X2,cons(X1,cons(X0,nil))))
| ~ unique(cons(X2,cons(X1,cons(X0,nil)))) )
| ~ spl0_7 ),
inference(resolution,[],[f143,f56]) ).
fof(f156,plain,
( ! [X0,X1] : ~ leqNat(s(X1),X0)
| ~ spl0_3 ),
inference(superposition,[],[f39,f150]) ).
fof(f309,plain,
( ! [X0] : ~ leqNat(z,X0)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f156,f150]) ).
fof(f328,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f309,f38]) ).
fof(f329,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f348,plain,
( leqNat(s(z),s(s(z)))
| ~ spl0_4 ),
inference(resolution,[],[f102,f40]) ).
fof(f377,plain,
( ! [X2,X3,X0,X1] :
( elemNat(X0,cons(X1,cons(X2,cons(X3,nil))))
| ~ unique(cons(X1,cons(X2,cons(X3,nil))))
| ~ leqNat(X3,X2)
| ~ sorted(cons(X2,cons(X1,cons(X0,nil)))) )
| ~ spl0_7 ),
inference(resolution,[],[f153,f46]) ).
fof(f414,definition,
( spl0_22
<=> s(s(z)) = s(s(s(z))) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f415,plain,
( s(s(z)) != s(s(s(z)))
| spl0_22 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( s(s(z)) = s(s(s(z)))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f422,definition,
( spl0_24
<=> s(z) = s(s(z)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f423,plain,
( s(z) != s(s(z))
| spl0_24 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( s(z) = s(s(z))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f430,definition,
( spl0_26
<=> s(z) = s(s(s(z))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f431,plain,
( s(z) != s(s(s(z)))
| spl0_26 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( s(z) = s(s(s(z)))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f437,plain,
( ! [X2,X3,X0,X1] :
( ~ unique(cons(X0,cons(X1,cons(X2,nil))))
| ~ leqNat(X2,X1)
| ~ sorted(cons(X1,cons(X0,cons(X3,nil))))
| elemNat(X3,cons(X1,cons(X2,nil)))
| X0 = X3 )
| ~ spl0_7 ),
inference(resolution,[],[f377,f50]) ).
fof(f439,plain,
( ! [X2,X3,X0,X1] :
( ~ sorted(cons(X1,cons(X2,cons(X3,nil))))
| ~ leqNat(X0,X1)
| elemNat(X3,cons(X1,cons(X0,nil)))
| X2 = X3
| elemNat(X2,cons(X1,cons(X0,nil)))
| ~ unique(cons(X1,cons(X0,nil))) )
| ~ spl0_7 ),
inference(resolution,[],[f437,f56]) ).
fof(f469,plain,
( ! [X2,X3,X0,X1] :
( ~ unique(cons(X1,cons(X0,nil)))
| elemNat(X2,cons(X1,cons(X0,nil)))
| X2 = X3
| elemNat(X3,cons(X1,cons(X0,nil)))
| ~ leqNat(X0,X1)
| ~ leqNat(X1,X3)
| ~ sorted(cons(X3,cons(X2,nil))) )
| ~ spl0_7 ),
inference(resolution,[],[f439,f46]) ).
fof(f499,plain,
( ! [X2,X3,X0,X1] :
( ~ sorted(cons(X3,cons(X0,nil)))
| X0 = X3
| elemNat(X3,cons(X1,cons(X2,nil)))
| ~ leqNat(X2,X1)
| ~ leqNat(X1,X3)
| elemNat(X0,cons(X1,cons(X2,nil)))
| elemNat(X1,cons(X2,nil))
| ~ unique(cons(X2,nil)) )
| ~ spl0_7 ),
inference(resolution,[],[f469,f56]) ).
fof(f501,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| elemNat(X1,cons(X2,cons(X3,nil)))
| ~ leqNat(X3,X2)
| ~ leqNat(X2,X1)
| elemNat(X0,cons(X2,cons(X3,nil)))
| elemNat(X2,cons(X3,nil))
| ~ unique(cons(X3,nil))
| ~ leqNat(X1,X0)
| ~ sorted(cons(X0,nil)) )
| ~ spl0_7 ),
inference(resolution,[],[f499,f46]) ).
fof(f502,plain,
( ! [X2,X3,X0,X1] :
( ~ unique(cons(X3,nil))
| elemNat(X1,cons(X2,cons(X3,nil)))
| ~ leqNat(X3,X2)
| ~ leqNat(X2,X1)
| elemNat(X0,cons(X2,cons(X3,nil)))
| elemNat(X2,cons(X3,nil))
| X0 = X1
| ~ leqNat(X1,X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f501,f43]) ).
fof(f504,plain,
( ! [X2,X3,X0,X1] :
( elemNat(X0,cons(X1,cons(X2,nil)))
| ~ leqNat(X2,X1)
| ~ leqNat(X1,X0)
| elemNat(X3,cons(X1,cons(X2,nil)))
| elemNat(X1,cons(X2,nil))
| X0 = X3
| ~ leqNat(X0,X3)
| elemNat(X2,nil)
| ~ unique(nil) )
| ~ spl0_7 ),
inference(resolution,[],[f502,f56]) ).
fof(f505,plain,
( ! [X2,X3,X0,X1] :
( elemNat(X0,cons(X1,cons(X2,nil)))
| ~ leqNat(X2,X1)
| ~ leqNat(X1,X0)
| elemNat(X3,cons(X1,cons(X2,nil)))
| elemNat(X1,cons(X2,nil))
| X0 = X3
| ~ leqNat(X0,X3)
| elemNat(X2,nil) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f504,f53]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1] :
( ~ leqNat(X2,X1)
| elemNat(X0,cons(X1,cons(X2,nil)))
| ~ leqNat(X1,X0)
| elemNat(X3,cons(X1,cons(X2,nil)))
| elemNat(X1,cons(X2,nil))
| X0 = X3
| ~ leqNat(X0,X3) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f505,f49]) ).
fof(f540,plain,
( ! [X0,X1] :
( elemNat(X0,cons(s(s(z)),cons(s(z),nil)))
| ~ leqNat(s(s(z)),X0)
| elemNat(X1,cons(s(s(z)),cons(s(z),nil)))
| elemNat(s(s(z)),cons(s(z),nil))
| X0 = X1
| ~ leqNat(X0,X1) )
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f506,f348]) ).
fof(f554,definition,
( spl0_35
<=> elemNat(s(s(z)),cons(s(z),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f556,plain,
( elemNat(s(s(z)),cons(s(z),nil))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f558,definition,
( spl0_36
<=> ! [X0,X1] :
( elemNat(X0,cons(s(s(z)),cons(s(z),nil)))
| ~ leqNat(X0,X1)
| X0 = X1
| elemNat(X1,cons(s(s(z)),cons(s(z),nil)))
| ~ leqNat(s(s(z)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f559,plain,
( ! [X0,X1] :
( ~ leqNat(s(s(z)),X0)
| ~ leqNat(X0,X1)
| X0 = X1
| elemNat(X1,cons(s(s(z)),cons(s(z),nil)))
| elemNat(X0,cons(s(s(z)),cons(s(z),nil))) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( spl0_35
| spl0_36
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f540,f142,f100,f558,f554]) ).
fof(f562,definition,
( spl0_37
<=> elemNat(s(s(s(z))),cons(s(z),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f563,plain,
( ~ elemNat(s(s(s(z))),cons(s(z),nil))
| spl0_37 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f564,plain,
( elemNat(s(s(s(z))),cons(s(z),nil))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f569,plain,
( leqNat(s(s(s(z))),s(s(z)))
| ~ spl0_8 ),
inference(resolution,[],[f147,f40]) ).
fof(f570,plain,
( leqNat(s(s(z)),s(z))
| ~ spl0_8 ),
inference(resolution,[],[f569,f40]) ).
fof(f571,plain,
( leqNat(s(z),z)
| ~ spl0_8 ),
inference(resolution,[],[f570,f40]) ).
fof(f572,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f571,f39]) ).
fof(f573,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f574,plain,
( elemNat(s(s(z)),nil)
| s(z) = s(s(z))
| ~ spl0_35 ),
inference(resolution,[],[f556,f50]) ).
fof(f575,plain,
( s(z) = s(s(z))
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f574,f49]) ).
fof(f576,plain,
( spl0_24
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f575,f554,f422]) ).
fof(f586,plain,
( s(z) = proj1S(s(z))
| ~ spl0_24 ),
inference(superposition,[],[f36,f424]) ).
fof(f593,plain,
( z = s(z)
| ~ spl0_24 ),
inference(forward_demodulation,[],[f586,f36]) ).
fof(f596,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f593,f37]) ).
fof(f597,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f607,plain,
( elemNat(s(s(s(z))),nil)
| s(z) = s(s(s(z)))
| ~ spl0_37 ),
inference(resolution,[],[f564,f50]) ).
fof(f608,plain,
( s(z) = s(s(s(z)))
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f607,f49]) ).
fof(f609,plain,
( spl0_26
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f608,f562,f430]) ).
fof(f618,plain,
( s(s(z)) = proj1S(s(z))
| ~ spl0_26 ),
inference(superposition,[],[f36,f432]) ).
fof(f625,plain,
( z = s(s(z))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f618,f36]) ).
fof(f630,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f625,f37]) ).
fof(f631,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f649,plain,
( s(s(z)) = proj1S(s(s(z)))
| ~ spl0_22 ),
inference(superposition,[],[f36,f416]) ).
fof(f656,plain,
( s(z) = s(s(z))
| ~ spl0_22 ),
inference(forward_demodulation,[],[f649,f36]) ).
fof(f659,plain,
( $false
| ~ spl0_22
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f656,f423]) ).
fof(f660,plain,
( ~ spl0_22
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f665,plain,
( ! [X0] :
( ~ leqNat(s(s(s(z))),X0)
| s(s(s(z))) = X0
| elemNat(X0,cons(s(s(z)),cons(s(z),nil)))
| elemNat(s(s(s(z))),cons(s(s(z)),cons(s(z),nil))) )
| ~ spl0_4
| ~ spl0_36 ),
inference(resolution,[],[f559,f102]) ).
fof(f669,definition,
( spl0_39
<=> elemNat(s(s(s(z))),cons(s(s(z)),cons(s(z),nil))) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f671,plain,
( elemNat(s(s(s(z))),cons(s(s(z)),cons(s(z),nil)))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f673,definition,
( spl0_40
<=> ! [X0] :
( ~ leqNat(s(s(s(z))),X0)
| elemNat(X0,cons(s(s(z)),cons(s(z),nil)))
| s(s(s(z))) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f674,plain,
( ! [X0] :
( elemNat(X0,cons(s(s(z)),cons(s(z),nil)))
| ~ leqNat(s(s(s(z))),X0)
| s(s(s(z))) = X0 )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f675,plain,
( spl0_39
| spl0_40
| ~ spl0_4
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f665,f558,f100,f673,f669]) ).
fof(f707,plain,
( elemNat(s(s(s(z))),cons(s(z),nil))
| s(s(z)) = s(s(s(z)))
| ~ spl0_39 ),
inference(resolution,[],[f671,f50]) ).
fof(f708,plain,
( s(s(z)) = s(s(s(z)))
| spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f707,f563]) ).
fof(f709,plain,
( $false
| spl0_22
| spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f708,f415]) ).
fof(f710,plain,
( spl0_22
| spl0_37
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f715,plain,
( ! [X0] :
( ~ leqNat(s(s(s(z))),X0)
| s(s(s(z))) = X0
| elemNat(X0,cons(s(z),nil))
| s(s(z)) = X0 )
| ~ spl0_40 ),
inference(resolution,[],[f674,f50]) ).
fof(f719,plain,
( ! [X0] :
( elemNat(s(X0),cons(s(z),nil))
| s(X0) = s(s(s(z)))
| s(X0) = s(s(z))
| ~ leqNat(s(s(z)),X0) )
| ~ spl0_40 ),
inference(resolution,[],[f715,f41]) ).
fof(f723,plain,
( ! [X0] :
( s(X0) = s(s(s(z)))
| s(X0) = s(s(z))
| ~ leqNat(s(s(z)),X0)
| elemNat(s(X0),nil)
| s(X0) = s(z) )
| ~ spl0_40 ),
inference(resolution,[],[f719,f50]) ).
fof(f724,plain,
( ! [X0] :
( ~ leqNat(s(s(z)),X0)
| s(X0) = s(s(z))
| s(X0) = s(s(s(z)))
| s(X0) = s(z) )
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f723,f49]) ).
fof(f726,plain,
( s(s(z)) = s(s(s(s(z))))
| s(s(s(z))) = s(s(s(s(z))))
| s(z) = s(s(s(s(z))))
| ~ spl0_4
| ~ spl0_40 ),
inference(resolution,[],[f724,f102]) ).
fof(f730,definition,
( spl0_43
<=> s(z) = s(s(s(s(z)))) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f732,plain,
( s(z) = s(s(s(s(z))))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f734,definition,
( spl0_44
<=> s(s(s(z))) = s(s(s(s(z)))) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f736,plain,
( s(s(s(z))) = s(s(s(s(z))))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f738,definition,
( spl0_45
<=> s(s(z)) = s(s(s(s(z)))) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f740,plain,
( s(s(z)) = s(s(s(s(z))))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f741,plain,
( spl0_43
| spl0_44
| spl0_45
| ~ spl0_4
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f726,f673,f100,f738,f734,f730]) ).
fof(f744,plain,
( s(s(s(z))) = proj1S(s(z))
| ~ spl0_43 ),
inference(superposition,[],[f36,f732]) ).
fof(f752,plain,
( z = s(s(s(z)))
| ~ spl0_43 ),
inference(forward_demodulation,[],[f744,f36]) ).
fof(f755,plain,
( $false
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f752,f37]) ).
fof(f756,plain,
~ spl0_43,
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f793,plain,
( s(s(s(z))) = proj1S(s(s(s(z))))
| ~ spl0_44 ),
inference(superposition,[],[f36,f736]) ).
fof(f800,plain,
( s(s(z)) = s(s(s(z)))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f793,f36]) ).
fof(f803,plain,
( $false
| spl0_22
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f800,f415]) ).
fof(f804,plain,
( spl0_22
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f810,plain,
( s(s(s(z))) = proj1S(s(s(z)))
| ~ spl0_45 ),
inference(superposition,[],[f36,f740]) ).
fof(f817,plain,
( s(z) = s(s(s(z)))
| ~ spl0_45 ),
inference(forward_demodulation,[],[f810,f36]) ).
fof(f820,plain,
( $false
| spl0_26
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f817,f431]) ).
fof(f821,plain,
( spl0_26
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f820]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f103]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f148]) ).
cnf(s21,plain,
~ spl0_3,
inference(sat_conversion,[],[f329]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f560]) ).
cnf(s44,plain,
~ spl0_8,
inference(sat_conversion,[],[f573]) ).
cnf(s45,plain,
( spl0_24
| ~ spl0_35 ),
inference(sat_conversion,[],[f576]) ).
cnf(s46,plain,
~ spl0_24,
inference(sat_conversion,[],[f597]) ).
cnf(s48,plain,
( spl0_26
| ~ spl0_37 ),
inference(sat_conversion,[],[f609]) ).
cnf(s51,plain,
~ spl0_26,
inference(sat_conversion,[],[f631]) ).
cnf(s54,plain,
( ~ spl0_22
| spl0_24 ),
inference(sat_conversion,[],[f660]) ).
cnf(s55,plain,
( ~ spl0_4
| ~ spl0_36
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f675]) ).
cnf(s57,plain,
( spl0_22
| spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f710]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_40
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f741]) ).
cnf(s60,plain,
~ spl0_43,
inference(sat_conversion,[],[f756]) ).
cnf(s63,plain,
( spl0_22
| ~ spl0_44 ),
inference(sat_conversion,[],[f804]) ).
cnf(s65,plain,
( spl0_26
| ~ spl0_45 ),
inference(sat_conversion,[],[f821]) ).
cnf(s66,plain,
( ~ spl0_4
| ~ spl0_40
| spl0_44
| spl0_45 ),
inference(rat,[],[s58,s60]) ).
cnf(s67,plain,
~ spl0_45,
inference(rat,[],[s65,s51]) ).
cnf(s68,plain,
~ spl0_37,
inference(rat,[],[s48,s51]) ).
cnf(s69,plain,
~ spl0_22,
inference(rat,[],[s54,s46]) ).
cnf(s70,plain,
~ spl0_44,
inference(rat,[],[s63,s69]) ).
cnf(s71,plain,
~ spl0_39,
inference(rat,[],[s57,s68,s69]) ).
cnf(s73,plain,
~ spl0_35,
inference(rat,[],[s45,s46]) ).
cnf(s75,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_36 ),
inference(rat,[],[s42,s73]) ).
cnf(s80,plain,
spl0_7,
inference(rat,[],[s4,s44]) ).
cnf(s81,plain,
spl0_4,
inference(rat,[],[s2,s21]) ).
cnf(s82,plain,
~ spl0_40,
inference(rat,[],[s66,s67,s70,s81]) ).
cnf(s83,plain,
~ spl0_36,
inference(rat,[],[s55,s82,s71,s81]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s75,s80,s83,s81]) ).
fof(f822,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX203+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:15:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.29 % (3697771)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (3697781)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2367101424:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (3697777)% WARNING: option uhcvi not known.
% 0.19/0.29 % (3697777)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2550859619:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (3697779)dis+10_1_sil=32000:sp=arity:random_seed=3636092810:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (3697778)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=734816546:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (3697776)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4194337435_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (3697780)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3946865078:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (3697782)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4233937202:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % TRYING [3]
% 0.19/0.29 % TRYING [4]
% 0.19/0.29 % TRYING [5]
% 0.19/0.29 % (3697779) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3697771-3697779"...
% 0.19/0.29 % (3697779)...printing done.
% 0.19/0.29 % (3697780) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3697771-3697780"...
% 0.19/0.29 % (3697779)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (3697779)------------------------------
% 0.19/0.29 % (3697779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (3697779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (3697779)CaDiCaL version: 2.1.3
% 0.19/0.29 % (3697779)Termination reason: Refutation
% 0.19/0.29 % (3697779)Time elapsed: 0.026 s
% 0.19/0.29 % (3697779)Peak memory usage: 13 MB
% 0.19/0.29 % (3697779)Instructions burned: 40 (million)
% 0.19/0.29 % (3697771)Success in time 0.063 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------