%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX217+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:46:12 PM UTC 2026
% Result : Theorem 6.93s 1.91s
% Output : Refutation 9.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 25
% Syntax : Number of formulae : 185 ( 77 unt; 5 def)
% Number of atoms : 377 ( 146 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 356 ( 164 ~; 185 |; 1 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 92 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : head(cons(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
fof(f6,axiom,
i != o,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(f7,axiom,
half(zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f8,axiom,
half(suc(zero)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
fof(f9,axiom,
! [X0] : half(suc(suc(X0))) = suc(half(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
fof(f10,axiom,
evenNat(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
fof(f11,axiom,
! [X0] :
( evenNat(suc(X0))
<=> ~ evenNat(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
fof(f12,axiom,
shw(zero) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
fof(f13,axiom,
! [X0] :
( evenNat(suc(X0))
=> shw(suc(X0)) = cons(o,shw(half(suc(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
fof(f14,axiom,
! [X0] :
( ~ evenNat(suc(X0))
=> shw(suc(X0)) = cons(i,shw(half(suc(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).
fof(f15,axiom,
! [X0] : append(nil,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
fof(f16,axiom,
! [X0,X1,X2] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
fof(f17,axiom,
! [X0] : addNat(zero,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
fof(f18,axiom,
! [X0,X1] : addNat(suc(X1),X0) = suc(addNat(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_018) ).
fof(f19,axiom,
! [X0] : double(X0) = addNat(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
fof(f20,axiom,
rd(nil) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
fof(f21,axiom,
! [X0] : rd(cons(i,X0)) = suc(double(rd(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_021) ).
fof(f22,axiom,
! [X0] : rd(cons(o,X0)) = double(rd(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_022) ).
fof(f23,axiom,
! [X0,X1] : x(X0,X1) = rd(append(shw(X0),shw(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_023) ).
fof(f24,conjecture,
? [X0,X1] : x(X0,X1) != x(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_024) ).
fof(f25,negated_conjecture,
~ ? [X0,X1] : x(X0,X1) != x(X1,X0),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
! [X0] :
( shw(suc(X0)) = cons(o,shw(half(suc(X0))))
| ~ evenNat(suc(X0)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f27,plain,
! [X0] :
( shw(suc(X0)) = cons(i,shw(half(suc(X0))))
| evenNat(suc(X0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0,X1] : x(X0,X1) = x(X1,X0),
inference(ennf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0] :
( ( evenNat(suc(X0))
| evenNat(X0) )
& ( ~ evenNat(X0)
| ~ evenNat(suc(X0)) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f35,plain,
i != o,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
zero = half(zero),
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
zero = half(suc(zero)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X0] : half(suc(suc(X0))) = suc(half(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
evenNat(zero),
inference(cnf_transformation,[],[f10]) ).
fof(f40,plain,
! [X0] :
( ~ evenNat(suc(X0))
| ~ evenNat(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
! [X0] :
( evenNat(suc(X0))
| evenNat(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f42,plain,
nil = shw(zero),
inference(cnf_transformation,[],[f12]) ).
fof(f43,plain,
! [X0] :
( ~ evenNat(suc(X0))
| shw(suc(X0)) = cons(o,shw(half(suc(X0)))) ),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
! [X0] :
( evenNat(suc(X0))
| shw(suc(X0)) = cons(i,shw(half(suc(X0)))) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0] : append(nil,X0) = X0,
inference(cnf_transformation,[],[f15]) ).
fof(f46,plain,
! [X2,X0,X1] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f47,plain,
! [X0] : addNat(zero,X0) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f48,plain,
! [X0,X1] : addNat(suc(X1),X0) = suc(addNat(X1,X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f49,plain,
! [X0] : double(X0) = addNat(X0,X0),
inference(cnf_transformation,[],[f19]) ).
fof(f50,plain,
zero = rd(nil),
inference(cnf_transformation,[],[f20]) ).
fof(f51,plain,
! [X0] : rd(cons(i,X0)) = suc(double(rd(X0))),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0] : double(rd(X0)) = rd(cons(o,X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f53,plain,
! [X0,X1] : x(X0,X1) = rd(append(shw(X0),shw(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f54,plain,
! [X0,X1] : x(X0,X1) = x(X1,X0),
inference(cnf_transformation,[],[f28]) ).
fof(f55,plain,
! [X0] : rd(cons(i,X0)) = suc(addNat(rd(X0),rd(X0))),
inference(definition_unfolding,[],[f51,f49]) ).
fof(f56,plain,
! [X0] : rd(cons(o,X0)) = addNat(rd(X0),rd(X0)),
inference(definition_unfolding,[],[f52,f49]) ).
fof(f57,plain,
! [X0,X1] : rd(append(shw(X0),shw(X1))) = rd(append(shw(X1),shw(X0))),
inference(definition_unfolding,[],[f54,f53,f53]) ).
fof(f58,definition,
! [X0,X1] : sF0(X0,X1) = append(shw(X0),shw(X1)),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f59,plain,
! [X0,X1] : append(shw(X0),shw(X1)) = sF0(X0,X1),
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
! [X0,X1] : sF1(X0,X1) = rd(sF0(X0,X1)),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f61,plain,
! [X0,X1] : rd(sF0(X0,X1)) = sF1(X0,X1),
inference(reorient_equations,[],[f60]) ).
fof(f62,plain,
! [X0,X1] : sF1(X0,X1) = sF1(X1,X0),
inference(definition_folding,[],[f57,f61,f59,f61,f59]) ).
fof(f63,plain,
! [X0] : rd(cons(i,X0)) = suc(rd(cons(o,X0))),
inference(forward_demodulation,[],[f55,f56]) ).
fof(f64,plain,
! [X0] : sF0(zero,X0) = append(nil,shw(X0)),
inference(superposition,[],[f59,f42]) ).
fof(f66,plain,
! [X0] : shw(X0) = sF0(zero,X0),
inference(forward_demodulation,[],[f64,f45]) ).
fof(f67,plain,
! [X0] : sF1(zero,X0) = rd(shw(X0)),
inference(superposition,[],[f61,f66]) ).
fof(f71,plain,
! [X0] : rd(shw(X0)) = sF1(X0,zero),
inference(superposition,[],[f62,f67]) ).
fof(f79,plain,
! [X0] :
( evenNat(X0)
| shw(suc(X0)) = cons(o,shw(half(suc(X0)))) ),
inference(resolution,[],[f43,f41]) ).
fof(f82,plain,
! [X0] :
( ~ evenNat(X0)
| shw(suc(X0)) = cons(i,shw(half(suc(X0)))) ),
inference(resolution,[],[f40,f44]) ).
fof(f83,plain,
! [X0] :
( shw(suc(suc(X0))) = cons(o,shw(half(suc(suc(X0)))))
| ~ evenNat(X0) ),
inference(resolution,[],[f79,f40]) ).
fof(f86,plain,
! [X0] :
( ~ evenNat(X0)
| shw(suc(suc(X0))) = cons(o,shw(suc(half(X0)))) ),
inference(forward_demodulation,[],[f83,f38]) ).
fof(f87,plain,
shw(suc(suc(zero))) = cons(o,shw(suc(half(zero)))),
inference(resolution,[],[f86,f39]) ).
fof(f88,plain,
! [X0] :
( evenNat(X0)
| shw(suc(suc(suc(X0)))) = cons(o,shw(suc(half(suc(X0))))) ),
inference(resolution,[],[f86,f41]) ).
fof(f91,plain,
shw(suc(suc(zero))) = cons(o,shw(suc(zero))),
inference(forward_demodulation,[],[f87,f36]) ).
fof(f105,definition,
( spl2_2
<=> shw(suc(zero)) = cons(i,nil) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f107,plain,
( shw(suc(zero)) = cons(i,nil)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f121,plain,
shw(suc(zero)) = cons(i,shw(half(suc(zero)))),
inference(resolution,[],[f82,f39]) ).
fof(f122,plain,
! [X0] :
( shw(suc(suc(X0))) = cons(i,shw(half(suc(suc(X0)))))
| evenNat(X0) ),
inference(resolution,[],[f82,f41]) ).
fof(f126,plain,
! [X0] :
( evenNat(X0)
| shw(suc(suc(X0))) = cons(i,shw(suc(half(X0)))) ),
inference(forward_demodulation,[],[f122,f38]) ).
fof(f127,plain,
shw(suc(zero)) = cons(i,shw(zero)),
inference(forward_demodulation,[],[f121,f37]) ).
fof(f128,plain,
shw(suc(zero)) = cons(i,nil),
inference(forward_demodulation,[],[f127,f42]) ).
fof(f129,plain,
( shw(suc(suc(zero))) = cons(o,cons(i,nil))
| ~ spl2_2 ),
inference(superposition,[],[f91,f107]) ).
fof(f133,plain,
! [X0] : cons(o,append(shw(suc(zero)),X0)) = append(shw(suc(suc(zero))),X0),
inference(superposition,[],[f46,f91]) ).
fof(f138,plain,
! [X0,X1] : rd(cons(o,sF0(X0,X1))) = addNat(sF1(X0,X1),sF1(X0,X1)),
inference(superposition,[],[f56,f61]) ).
fof(f139,plain,
rd(cons(o,nil)) = addNat(zero,zero),
inference(superposition,[],[f56,f50]) ).
fof(f141,plain,
zero = rd(cons(o,nil)),
inference(forward_demodulation,[],[f139,f47]) ).
fof(f153,plain,
! [X0] :
( ~ evenNat(X0)
| shw(suc(suc(suc(X0)))) = cons(i,shw(suc(half(suc(X0))))) ),
inference(resolution,[],[f126,f40]) ).
fof(f158,plain,
! [X0,X1] : addNat(sF1(X0,X1),sF1(X0,X1)) = rd(cons(o,sF0(X1,X0))),
inference(superposition,[],[f138,f62]) ).
fof(f159,plain,
! [X0] : rd(cons(o,sF0(X0,zero))) = addNat(rd(shw(X0)),rd(shw(X0))),
inference(superposition,[],[f138,f71]) ).
fof(f162,plain,
! [X0] : rd(cons(o,sF0(X0,zero))) = rd(cons(o,shw(X0))),
inference(forward_demodulation,[],[f159,f56]) ).
fof(f163,plain,
! [X0,X1] : rd(cons(o,sF0(X0,X1))) = rd(cons(o,sF0(X1,X0))),
inference(forward_demodulation,[],[f158,f138]) ).
fof(f178,plain,
suc(zero) = rd(cons(i,nil)),
inference(superposition,[],[f63,f141]) ).
fof(f228,definition,
( spl2_7
<=> evenNat(rd(shw(suc(suc(zero))))) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f229,plain,
( ~ evenNat(rd(shw(suc(suc(zero)))))
| spl2_7 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( evenNat(rd(shw(suc(suc(zero)))))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f236,plain,
rd(cons(o,cons(i,nil))) = addNat(suc(zero),suc(zero)),
inference(superposition,[],[f56,f178]) ).
fof(f237,plain,
rd(cons(o,cons(i,nil))) = suc(addNat(zero,suc(zero))),
inference(forward_demodulation,[],[f236,f48]) ).
fof(f238,plain,
suc(suc(zero)) = rd(cons(o,cons(i,nil))),
inference(forward_demodulation,[],[f237,f47]) ).
fof(f239,plain,
( suc(suc(zero)) = rd(shw(suc(suc(zero))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f238,f129]) ).
fof(f348,plain,
! [X0] :
( shw(suc(suc(suc(suc(X0))))) = cons(o,shw(suc(half(suc(suc(X0))))))
| ~ evenNat(X0) ),
inference(resolution,[],[f88,f40]) ).
fof(f355,plain,
! [X0] :
( ~ evenNat(X0)
| shw(suc(suc(suc(suc(X0))))) = cons(o,shw(suc(suc(half(X0))))) ),
inference(forward_demodulation,[],[f348,f38]) ).
fof(f361,plain,
cons(o,shw(suc(suc(half(zero))))) = shw(suc(suc(suc(suc(zero))))),
inference(resolution,[],[f355,f39]) ).
fof(f365,plain,
cons(o,shw(suc(suc(zero)))) = shw(suc(suc(suc(suc(zero))))),
inference(forward_demodulation,[],[f361,f36]) ).
fof(f475,plain,
! [X0] :
( shw(suc(suc(suc(suc(X0))))) = cons(i,shw(suc(half(suc(suc(X0))))))
| evenNat(X0) ),
inference(resolution,[],[f153,f41]) ).
fof(f484,plain,
! [X0] :
( evenNat(X0)
| shw(suc(suc(suc(suc(X0))))) = cons(i,shw(suc(suc(half(X0))))) ),
inference(forward_demodulation,[],[f475,f38]) ).
fof(f540,plain,
( ~ evenNat(suc(suc(zero)))
| ~ spl2_2
| spl2_7 ),
inference(superposition,[],[f229,f239]) ).
fof(f551,plain,
( evenNat(suc(zero))
| ~ spl2_2
| spl2_7 ),
inference(resolution,[],[f540,f41]) ).
fof(f573,plain,
( ~ evenNat(zero)
| ~ spl2_2
| spl2_7 ),
inference(resolution,[],[f551,f40]) ).
fof(f584,plain,
( $false
| ~ spl2_2
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f573,f39]) ).
fof(f585,plain,
( ~ spl2_2
| spl2_7 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f713,plain,
spl2_2,
inference(avatar_split_clause,[],[f128,f105]) ).
fof(f723,plain,
( ! [X0] : sF0(suc(zero),X0) = append(cons(i,nil),shw(X0))
| ~ spl2_2 ),
inference(superposition,[],[f59,f107]) ).
fof(f729,plain,
( ! [X0] : sF0(suc(zero),X0) = cons(i,append(nil,shw(X0)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f723,f46]) ).
fof(f732,plain,
( ! [X0] : sF0(suc(zero),X0) = cons(i,shw(X0))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f729,f45]) ).
fof(f750,plain,
( ! [X0] : rd(cons(o,cons(i,shw(X0)))) = rd(cons(o,sF0(X0,suc(zero))))
| ~ spl2_2 ),
inference(superposition,[],[f163,f732]) ).
fof(f751,plain,
( ! [X0] : sF1(suc(zero),X0) = rd(cons(i,shw(X0)))
| ~ spl2_2 ),
inference(superposition,[],[f61,f732]) ).
fof(f755,plain,
( sF1(suc(zero),suc(zero)) = rd(cons(i,cons(i,nil)))
| ~ spl2_2 ),
inference(superposition,[],[f751,f107]) ).
fof(f931,plain,
( rd(cons(o,shw(suc(zero)))) = rd(cons(o,cons(i,shw(zero))))
| ~ spl2_2 ),
inference(superposition,[],[f162,f732]) ).
fof(f944,plain,
( rd(cons(o,shw(suc(zero)))) = rd(cons(o,cons(i,nil)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f931,f42]) ).
fof(f948,plain,
( suc(suc(zero)) = rd(cons(o,shw(suc(zero))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f944,f238]) ).
fof(f950,plain,
( suc(suc(zero)) = rd(shw(suc(suc(zero))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f948,f91]) ).
fof(f951,plain,
( evenNat(suc(suc(zero)))
| ~ spl2_2
| ~ spl2_7 ),
inference(superposition,[],[f230,f950]) ).
fof(f952,plain,
( rd(cons(o,shw(suc(suc(zero))))) = addNat(suc(suc(zero)),suc(suc(zero)))
| ~ spl2_2 ),
inference(superposition,[],[f56,f950]) ).
fof(f953,plain,
( rd(cons(o,shw(suc(suc(zero))))) = suc(addNat(suc(zero),suc(suc(zero))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f952,f48]) ).
fof(f954,plain,
( rd(cons(o,shw(suc(suc(zero))))) = suc(suc(addNat(zero,suc(suc(zero)))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f953,f48]) ).
fof(f955,plain,
( rd(cons(o,shw(suc(suc(zero))))) = suc(suc(suc(suc(zero))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f954,f47]) ).
fof(f958,plain,
( shw(suc(suc(suc(suc(suc(zero)))))) = cons(i,shw(suc(half(suc(suc(suc(zero)))))))
| ~ spl2_2
| ~ spl2_7 ),
inference(resolution,[],[f951,f153]) ).
fof(f965,plain,
( shw(suc(suc(suc(suc(suc(zero)))))) = cons(i,shw(suc(suc(half(suc(zero))))))
| ~ spl2_2
| ~ spl2_7 ),
inference(forward_demodulation,[],[f958,f38]) ).
fof(f970,plain,
( cons(i,shw(suc(suc(zero)))) = shw(suc(suc(suc(suc(suc(zero))))))
| ~ spl2_2
| ~ spl2_7 ),
inference(forward_demodulation,[],[f965,f37]) ).
fof(f1076,plain,
( suc(suc(suc(suc(suc(zero))))) = rd(cons(i,shw(suc(suc(zero)))))
| ~ spl2_2 ),
inference(superposition,[],[f63,f955]) ).
fof(f1079,plain,
( sF1(suc(zero),suc(suc(zero))) = suc(suc(suc(suc(suc(zero)))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1076,f751]) ).
fof(f1428,plain,
! [X0] : cons(o,sF0(suc(zero),X0)) = append(shw(suc(suc(zero))),shw(X0)),
inference(superposition,[],[f133,f59]) ).
fof(f1449,plain,
! [X0] : cons(o,sF0(suc(zero),X0)) = sF0(suc(suc(zero)),X0),
inference(forward_demodulation,[],[f1428,f59]) ).
fof(f1460,plain,
( ! [X0] : cons(o,cons(i,shw(X0))) = sF0(suc(suc(zero)),X0)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1449,f732]) ).
fof(f1578,definition,
( spl2_18
<=> evenNat(rd(shw(suc(suc(sF1(suc(zero),suc(zero))))))) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f1579,plain,
( ~ evenNat(rd(shw(suc(suc(sF1(suc(zero),suc(zero)))))))
| spl2_18 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1580,plain,
( evenNat(rd(shw(suc(suc(sF1(suc(zero),suc(zero)))))))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1923,plain,
rd(cons(i,cons(i,nil))) = suc(suc(suc(zero))),
inference(superposition,[],[f63,f238]) ).
fof(f1926,plain,
( sF1(suc(zero),suc(zero)) = suc(suc(suc(zero)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1923,f755]) ).
fof(f1945,plain,
( evenNat(rd(shw(suc(suc(suc(suc(suc(zero))))))))
| ~ spl2_2
| ~ spl2_18 ),
inference(superposition,[],[f1580,f1926]) ).
fof(f1950,plain,
( rd(cons(o,sF0(suc(zero),suc(zero)))) = addNat(suc(suc(suc(zero))),suc(suc(suc(zero))))
| ~ spl2_2 ),
inference(superposition,[],[f138,f1926]) ).
fof(f1951,plain,
( rd(cons(o,sF0(suc(zero),suc(zero)))) = suc(addNat(suc(suc(zero)),suc(suc(suc(zero)))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1950,f48]) ).
fof(f1965,plain,
( rd(cons(o,sF0(suc(zero),suc(zero)))) = suc(suc(addNat(suc(zero),suc(suc(suc(zero))))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1951,f48]) ).
fof(f1976,plain,
( rd(cons(o,sF0(suc(zero),suc(zero)))) = suc(suc(suc(addNat(zero,suc(suc(suc(zero)))))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1965,f48]) ).
fof(f1984,plain,
( suc(suc(suc(suc(suc(suc(zero)))))) = rd(cons(o,sF0(suc(zero),suc(zero))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1976,f47]) ).
fof(f1989,plain,
( suc(suc(suc(suc(suc(suc(zero)))))) = rd(cons(o,cons(i,shw(suc(zero)))))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1984,f750]) ).
fof(f1992,plain,
( suc(suc(suc(suc(suc(suc(zero)))))) = rd(sF0(suc(suc(zero)),suc(zero)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1989,f1460]) ).
fof(f1994,plain,
( suc(suc(suc(suc(suc(suc(zero)))))) = sF1(suc(suc(zero)),suc(zero))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f1992,f61]) ).
fof(f2010,plain,
( evenNat(rd(cons(i,shw(suc(suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1945,f970]) ).
fof(f2024,plain,
( evenNat(sF1(suc(zero),suc(suc(zero))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2010,f751]) ).
fof(f2036,plain,
( evenNat(suc(suc(suc(suc(suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2024,f1079]) ).
fof(f2108,plain,
( shw(suc(suc(suc(suc(suc(zero)))))) = cons(o,shw(half(suc(suc(suc(suc(suc(zero))))))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(resolution,[],[f2036,f43]) ).
fof(f2117,plain,
( shw(suc(suc(suc(suc(suc(zero)))))) = cons(o,shw(suc(half(suc(suc(suc(zero)))))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2108,f38]) ).
fof(f2122,plain,
( shw(suc(suc(suc(suc(suc(zero)))))) = cons(o,shw(suc(suc(half(suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2117,f38]) ).
fof(f2127,plain,
( cons(o,shw(suc(suc(zero)))) = shw(suc(suc(suc(suc(suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2122,f37]) ).
fof(f2132,plain,
( cons(o,shw(suc(suc(zero)))) = cons(i,shw(suc(suc(zero))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2127,f970]) ).
fof(f2149,plain,
( o = head(cons(i,shw(suc(suc(zero)))))
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(superposition,[],[f30,f2132]) ).
fof(f2155,plain,
( i = o
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2149,f30]) ).
fof(f2160,plain,
( $false
| ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2155,f35]) ).
fof(f2161,plain,
( ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2160]) ).
fof(f2167,plain,
( ~ evenNat(rd(shw(suc(suc(suc(suc(suc(zero))))))))
| ~ spl2_2
| spl2_18 ),
inference(forward_demodulation,[],[f1579,f1926]) ).
fof(f2169,plain,
( ~ evenNat(rd(cons(i,shw(suc(suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2167,f970]) ).
fof(f2171,plain,
( ~ evenNat(sF1(suc(zero),suc(suc(zero))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2169,f751]) ).
fof(f2173,plain,
( ~ evenNat(suc(suc(suc(suc(suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2171,f1079]) ).
fof(f2177,plain,
( shw(suc(suc(suc(suc(suc(suc(suc(suc(suc(zero)))))))))) = cons(i,shw(suc(suc(half(suc(suc(suc(suc(suc(zero))))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(resolution,[],[f2173,f484]) ).
fof(f2178,plain,
( shw(suc(suc(suc(suc(suc(suc(suc(suc(zero))))))))) = cons(o,shw(suc(half(suc(suc(suc(suc(suc(suc(zero))))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(resolution,[],[f2173,f88]) ).
fof(f2183,plain,
( shw(suc(suc(suc(suc(suc(suc(suc(suc(zero))))))))) = cons(o,shw(suc(suc(half(suc(suc(suc(suc(zero)))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2178,f38]) ).
fof(f2184,plain,
( shw(suc(suc(suc(suc(suc(suc(suc(suc(suc(zero)))))))))) = cons(i,shw(suc(suc(suc(half(suc(suc(suc(zero)))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2177,f38]) ).
fof(f2188,plain,
( shw(suc(suc(suc(suc(suc(suc(suc(suc(zero))))))))) = cons(o,shw(suc(suc(suc(half(suc(suc(zero))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2183,f38]) ).
fof(f2189,plain,
( shw(suc(suc(suc(suc(suc(suc(suc(suc(suc(zero)))))))))) = cons(i,shw(suc(suc(suc(suc(half(suc(zero))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2184,f38]) ).
fof(f2193,plain,
( shw(suc(suc(suc(suc(suc(suc(suc(suc(zero))))))))) = cons(o,shw(suc(suc(suc(suc(half(zero)))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2188,f38]) ).
fof(f2194,plain,
( cons(i,shw(suc(suc(suc(suc(zero)))))) = shw(suc(suc(suc(suc(suc(suc(suc(suc(suc(zero))))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2189,f37]) ).
fof(f2198,plain,
( cons(o,shw(suc(suc(suc(suc(zero)))))) = shw(suc(suc(suc(suc(suc(suc(suc(suc(zero)))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2193,f36]) ).
fof(f2199,plain,
( cons(i,shw(suc(suc(suc(suc(zero)))))) = shw(suc(suc(suc(sF1(suc(suc(zero)),suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2194,f1994]) ).
fof(f2202,plain,
( cons(o,shw(suc(suc(suc(suc(zero)))))) = shw(suc(suc(sF1(suc(suc(zero)),suc(zero)))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2198,f1994]) ).
fof(f2203,plain,
( cons(i,cons(o,shw(suc(suc(zero))))) = shw(suc(suc(suc(sF1(suc(suc(zero)),suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2199,f365]) ).
fof(f2206,plain,
( cons(o,cons(o,shw(suc(suc(zero))))) = shw(suc(suc(sF1(suc(suc(zero)),suc(zero)))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2202,f365]) ).
fof(f2300,plain,
( cons(i,cons(o,shw(suc(suc(zero))))) = shw(suc(suc(suc(sF1(suc(zero),suc(suc(zero)))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(superposition,[],[f2203,f62]) ).
fof(f2323,plain,
( cons(i,cons(o,shw(suc(suc(zero))))) = shw(suc(suc(suc(suc(suc(suc(suc(suc(zero)))))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2300,f1079]) ).
fof(f2333,plain,
( cons(i,cons(o,shw(suc(suc(zero))))) = shw(suc(suc(sF1(suc(suc(zero)),suc(zero)))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2323,f1994]) ).
fof(f2341,plain,
( cons(i,cons(o,shw(suc(suc(zero))))) = cons(o,cons(o,shw(suc(suc(zero)))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2333,f2206]) ).
fof(f2349,plain,
( o = head(cons(i,cons(o,shw(suc(suc(zero))))))
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(superposition,[],[f30,f2341]) ).
fof(f2355,plain,
( i = o
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_demodulation,[],[f2349,f30]) ).
fof(f2359,plain,
( $false
| ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f2355,f35]) ).
fof(f2360,plain,
( ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
cnf(s10,plain,
( ~ spl2_2
| spl2_7 ),
inference(sat_conversion,[],[f585]) ).
cnf(s18,plain,
spl2_2,
inference(sat_conversion,[],[f713]) ).
cnf(s34,plain,
( ~ spl2_2
| ~ spl2_7
| ~ spl2_18 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s35,plain,
( ~ spl2_2
| ~ spl2_7
| spl2_18 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s36,plain,
spl2_7,
inference(rat,[],[s10,s18]) ).
cnf(s37,plain,
spl2_18,
inference(rat,[],[s35,s18,s36]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s34,s18,s37,s36]) ).
fof(f2362,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX217+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:11:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 6.93/1.91 % (4041359)Detected formulas, will run a generic FOF schedule.
% 6.93/1.91 % (4041368)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1869601075:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.93/1.91 % (4041368)Refutation not found, incomplete strategy
% 6.93/1.91 % (4041368)------------------------------
% 6.93/1.91 % (4041368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041368)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041368)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.91 % (4041368)Time elapsed: 0.001 s
% 6.93/1.91 % (4041368)Peak memory usage: 88 MB
% 6.93/1.91 % (4041368)Instructions burned: 1 (million)
% 6.93/1.91 % (4041366)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=1651388599:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.93/1.91 % (4041367)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3935668138:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.93/1.91 % (4041364)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=4152922603:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.93/1.91 % (4041365)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=3324603238:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.93/1.91 % (4041370)dis-21_1_sil=8000:lcm=predicate:random_seed=1120580367: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)
% 6.93/1.91 % (4041369)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3118287041:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.93/1.91 % (4041367)Refutation not found, incomplete strategy
% 6.93/1.91 % (4041367)------------------------------
% 6.93/1.91 % (4041367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041367)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041367)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.91 % (4041367)Time elapsed: 0.001 s
% 6.93/1.91 % (4041367)Peak memory usage: 88 MB
% 6.93/1.91 % (4041370)Refutation not found, incomplete strategy
% 6.93/1.91 % (4041370)------------------------------
% 6.93/1.91 % (4041370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041370)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041370)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.91 % (4041370)Time elapsed: 0.002 s
% 6.93/1.91 % (4041370)Peak memory usage: 88 MB
% 6.93/1.91 % (4041370)Instructions burned: 1 (million)
% 6.93/1.91 % (4041369)Instruction limit reached!
% 6.93/1.91 % (4041369)------------------------------
% 6.93/1.91 % (4041369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041369)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041369)Termination reason: Instruction limit
% 6.93/1.91 % (4041369)Termination phase: Saturation
% 6.93/1.91 % (4041369)Time elapsed: 0.079 s
% 6.93/1.91 % (4041369)Peak memory usage: 89 MB
% 6.93/1.91 % (4041369)Instructions burned: 140 (million)
% 6.93/1.91 % (4041368)------------------------------
% 6.93/1.91 % (4041368)------------------------------
% 6.93/1.91 % (4041379)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3252847509:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.93/1.91 % (4041378)lrs+10_1_sil=8000:sp=occurrence:random_seed=3783475854:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.93/1.91 % (4041379)Refutation not found, incomplete strategy
% 6.93/1.91 % (4041379)------------------------------
% 6.93/1.91 % (4041379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041379)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041379)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.91 % (4041379)Time elapsed: 0.001 s
% 6.93/1.91 % (4041379)Peak memory usage: 88 MB
% 6.93/1.91 % (4041370)------------------------------
% 6.93/1.91 % (4041370)------------------------------
% 6.93/1.91 % (4041367)------------------------------
% 6.93/1.91 % (4041367)------------------------------
% 6.93/1.91 % (4041379)------------------------------
% 6.93/1.91 % (4041379)------------------------------
% 6.93/1.91 % (4041378)Instruction limit reached!
% 6.93/1.91 % (4041378)------------------------------
% 6.93/1.91 % (4041378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041378)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041378)Termination reason: Instruction limit
% 6.93/1.91 % (4041378)Termination phase: Saturation
% 6.93/1.91 % (4041378)Time elapsed: 0.154 s
% 6.93/1.91 % (4041378)Peak memory usage: 90 MB
% 6.93/1.91 % (4041378)Instructions burned: 286 (million)
% 6.93/1.91 % (4041382)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4135257052:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.93/1.91 % (4041383)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=1988193009:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.93/1.91 % (4041384)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2247049820:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.93/1.91 % (4041385)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=259174855:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.93/1.91 % (4041384)Instruction limit reached!
% 6.93/1.91 % (4041384)------------------------------
% 6.93/1.91 % (4041384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041384)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041384)Termination reason: Instruction limit
% 6.93/1.91 % (4041384)Termination phase: Saturation
% 6.93/1.91 % (4041384)Time elapsed: 0.079 s
% 6.93/1.91 % (4041384)Peak memory usage: 89 MB
% 6.93/1.91 % (4041384)Instructions burned: 298 (million)
% 6.93/1.91 % (4041383)Instruction limit reached!
% 6.93/1.91 % (4041383)------------------------------
% 6.93/1.91 % (4041383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041383)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041383)Termination reason: Instruction limit
% 6.93/1.91 % (4041383)Termination phase: Saturation
% 6.93/1.91 % (4041383)Time elapsed: 0.151 s
% 6.93/1.91 % (4041383)Peak memory usage: 93 MB
% 6.93/1.91 % (4041383)Instructions burned: 248 (million)
% 6.93/1.91 % (4041382)Instruction limit reached!
% 6.93/1.91 % (4041382)------------------------------
% 6.93/1.91 % (4041382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041382)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041382)Termination reason: Instruction limit
% 6.93/1.91 % (4041382)Termination phase: Saturation
% 6.93/1.91 % (4041382)Time elapsed: 0.173 s
% 6.93/1.91 % (4041382)Peak memory usage: 91 MB
% 6.93/1.91 % (4041382)Instructions burned: 326 (million)
% 6.93/1.91 % (4041390)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2195231425:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.93/1.91 % (4041390)Instruction limit reached!
% 6.93/1.91 % (4041390)------------------------------
% 6.93/1.91 % (4041390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041390)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041390)Termination reason: Instruction limit
% 6.93/1.91 % (4041390)Termination phase: Saturation
% 6.93/1.91 % (4041390)Time elapsed: 0.039 s
% 6.93/1.91 % (4041390)Peak memory usage: 89 MB
% 6.93/1.91 % (4041390)Instructions burned: 116 (million)
% 6.93/1.91 % (4041391)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3600876398:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.93/1.91 % (4041392)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2749338273:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.93/1.91 % (4041391)Refutation not found, incomplete strategy
% 6.93/1.91 % (4041391)------------------------------
% 6.93/1.91 % (4041391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041391)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041391)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.91 % (4041391)Time elapsed: 0.001 s
% 6.93/1.91 % (4041391)Peak memory usage: 87 MB
% 6.93/1.91 % (4041392)Refutation not found, incomplete strategy
% 6.93/1.91 % (4041392)------------------------------
% 6.93/1.91 % (4041392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041392)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041392)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.91 % (4041392)Time elapsed: 0.001 s
% 6.93/1.91 % (4041392)Peak memory usage: 88 MB
% 6.93/1.91 % (4041394)lrs+10_1_sil=8000:sp=occurrence:random_seed=3068431490:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.93/1.91 % (4041364)First to succeed.
% 6.93/1.91 % (4041364)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4041359"
% 6.93/1.91 % (4041392)------------------------------
% 6.93/1.91 % (4041392)------------------------------
% 6.93/1.91 % (4041391)------------------------------
% 6.93/1.91 % (4041391)------------------------------
% 6.93/1.91 % (4041394)Also succeeded, but the first one will report.
% 6.93/1.91 % (4041398)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1584999476:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 6.93/1.91 % (4041398)Refutation not found, incomplete strategy
% 6.93/1.91 % (4041398)------------------------------
% 6.93/1.91 % (4041398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.91 % (4041398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.91 % (4041398)CaDiCaL version: 2.1.3
% 6.93/1.91 % (4041398)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.91 % (4041398)Time elapsed: 0.001 s
% 6.93/1.91 % (4041398)Peak memory usage: 88 MB
% 6.93/1.91 % (4041398)Instructions burned: 1 (million)
% 6.93/1.91 % (4041399)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=57155144:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 6.93/1.91 % (4041364)Refutation found. Thanks to Tanya!
% 6.93/1.91 % SZS status Theorem for theBenchmark
% 6.93/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 9.46/2.11 % (4041364)------------------------------
% 9.46/2.11 % (4041364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.46/2.11 % (4041364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/2.11 % (4041364)CaDiCaL version: 2.1.3
% 9.46/2.11 % (4041364)Termination reason: Refutation
% 9.46/2.11 % (4041364)Time elapsed: 0.840 s
% 9.46/2.11 % (4041364)Peak memory usage: 131 MB
% 9.46/2.11 % (4041364)Instructions burned: 1254 (million)
% 9.46/2.11 % (4041364)------------------------------
% 9.46/2.11 % (4041364)------------------------------
% 9.46/2.11 % (4041359)Success in time 1.254 s
% 9.46/2.11 % Vampire exiting
%------------------------------------------------------------------------------