%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL304-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:51:55 AM UTC 2026
% Result : Unsatisfiable 21.61s 4.20s
% Output : Refutation 21.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 39
% Syntax : Number of formulae : 218 ( 96 unt; 28 def)
% Number of atoms : 387 ( 42 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 331 ( 162 ~; 160 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 21 con; 0-2 aty)
% Number of variables : 161 ( 0 sgn 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(implies(p,q),equivalent(q,or(p,q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(or(not(p),q)),not(or(not(or(not(q),or(p,q))),not(or(not(or(p,q)),q)))))),not(or(not(not(or(not(or(not(q),or(p,q))),not(or(not(or(p,q)),q))))),or(not(p),q)))))),
inference(definition_unfolding,[],[f11,f12,f6,f12]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
not(q) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = or(p,q),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
or(p,q) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = or(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
or(sF3,sF4) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = not(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
not(sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = not(sF4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF4) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = or(sF7,q),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
or(sF7,q) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = or(sF6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
or(sF6,sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = not(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
not(sF10) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = or(sF2,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
or(sF2,sF11) = sF12,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF13 = not(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f47,plain,
not(sF12) = sF13,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF14 = not(sF11),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
not(sF11) = sF14,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF15 = or(sF14,sF1),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f51,plain,
or(sF14,sF1) = sF15,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF16 = not(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f53,plain,
not(sF15) = sF16,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF17 = or(sF13,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f55,plain,
or(sF13,sF16) = sF17,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF18 = not(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f57,plain,
not(sF17) = sF18,
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
~ theorem(sF18),
inference(definition_folding,[],[f19,f57,f55,f53,f51,f23,f21,f49,f43,f41,f39,f37,f35,f29,f33,f31,f29,f27,f47,f45,f43,f41,f39,f37,f35,f29,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f59,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f60,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f75,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f59]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f60]) ).
fof(f83,plain,
! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0)
| ~ theorem(sF15) ),
inference(superposition,[],[f18,f53]) ).
fof(f85,definition,
( spl19_1
<=> theorem(sF15) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f87,plain,
( ~ theorem(sF15)
| spl19_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl19_2
<=> ! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f90,plain,
( ! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0) )
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( ~ spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f83,f89,f85]) ).
fof(f140,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f76,f59]) ).
fof(f164,plain,
! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0)
| ~ theorem(sF5) ),
inference(superposition,[],[f18,f33]) ).
fof(f168,definition,
( spl19_19
<=> theorem(sF5) ),
introduced(definition,[new_symbols(definition,[spl19_19])],[avatar_definition]) ).
fof(f170,plain,
( ~ theorem(sF5)
| spl19_19 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f172,definition,
( spl19_20
<=> ! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_20])],[avatar_definition]) ).
fof(f173,plain,
( ! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0) )
| ~ spl19_20 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f174,plain,
( ~ spl19_19
| spl19_20 ),
inference(avatar_split_clause,[],[f164,f172,f168]) ).
fof(f201,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f208,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f201,f18]) ).
fof(f294,plain,
theorem(or(not(sF17),or(sF16,sF13))),
inference(superposition,[],[f201,f55]) ).
fof(f295,plain,
theorem(or(sF18,or(sF16,sF13))),
inference(forward_demodulation,[],[f294,f57]) ).
fof(f348,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f75,f18]) ).
fof(f351,plain,
! [X0] :
( theorem(or(not(sF1),or(sF0,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f75,f23]) ).
fof(f355,plain,
! [X0] :
( theorem(or(not(sF5),or(sF3,X0)))
| ~ theorem(or(not(sF4),X0)) ),
inference(superposition,[],[f75,f31]) ).
fof(f370,plain,
! [X0] :
( theorem(or(sF6,or(sF3,X0)))
| ~ theorem(or(not(sF4),X0)) ),
inference(forward_demodulation,[],[f355,f33]) ).
fof(f374,plain,
! [X0] :
( theorem(or(sF2,or(sF0,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f351,f25]) ).
fof(f376,plain,
! [X0] :
( theorem(or(sF6,or(sF3,X0)))
| ~ theorem(or(sF7,X0)) ),
inference(forward_demodulation,[],[f370,f35]) ).
fof(f380,plain,
! [X0] :
( theorem(or(sF2,or(sF0,X0)))
| ~ theorem(or(sF3,X0)) ),
inference(forward_demodulation,[],[f374,f27]) ).
fof(f383,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f348,f201]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f348,f75]) ).
fof(f385,plain,
! [X0,X1] :
( ~ theorem(or(sF0,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,p)) ),
inference(superposition,[],[f348,f21]) ).
fof(f391,plain,
! [X0,X1] :
( ~ theorem(or(sF11,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF10)) ),
inference(superposition,[],[f348,f43]) ).
fof(f392,plain,
! [X0,X1] :
( ~ theorem(or(sF14,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF11)) ),
inference(superposition,[],[f348,f49]) ).
fof(f393,plain,
! [X0,X1] :
( ~ theorem(or(sF13,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF12)) ),
inference(superposition,[],[f348,f47]) ).
fof(f394,plain,
! [X0,X1] :
( ~ theorem(or(sF16,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF15)) ),
inference(superposition,[],[f348,f53]) ).
fof(f408,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f435,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f408,f348]) ).
fof(f437,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f408,f383]) ).
fof(f438,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f408,f76]) ).
fof(f452,plain,
theorem(or(not(q),sF4)),
inference(superposition,[],[f408,f29]) ).
fof(f455,plain,
theorem(or(not(sF4),sF5)),
inference(superposition,[],[f408,f31]) ).
fof(f457,plain,
theorem(or(not(sF11),sF12)),
inference(superposition,[],[f408,f45]) ).
fof(f459,plain,
theorem(or(sF14,sF12)),
inference(forward_demodulation,[],[f457,f49]) ).
fof(f460,plain,
theorem(or(sF7,sF5)),
inference(forward_demodulation,[],[f455,f35]) ).
fof(f463,plain,
theorem(or(sF3,sF4)),
inference(forward_demodulation,[],[f452,f27]) ).
fof(f465,plain,
theorem(sF5),
inference(forward_demodulation,[],[f463,f31]) ).
fof(f466,plain,
( $false
| spl19_19 ),
inference(forward_subsumption_resolution,[],[f465,f170]) ).
fof(f467,plain,
spl19_19,
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f470,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f471,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f470,f348]) ).
fof(f472,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f470,f18]) ).
fof(f479,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f471,f408]) ).
fof(f482,plain,
theorem(or(sF16,or(sF18,sF13))),
inference(resolution,[],[f295,f76]) ).
fof(f488,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f384,f60]) ).
fof(f489,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f384,f201]) ).
fof(f511,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f435,f383]) ).
fof(f521,plain,
! [X0] :
( ~ theorem(or(X0,sF9))
| theorem(or(X0,sF10)) ),
inference(superposition,[],[f435,f41]) ).
fof(f525,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f488,f18]) ).
fof(f548,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f140,f18]) ).
fof(f604,plain,
! [X0,X1] :
( theorem(or(not(or(sF7,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF4)) ),
inference(superposition,[],[f548,f35]) ).
fof(f605,plain,
! [X0,X1] :
( theorem(or(not(or(sF6,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF5)) ),
inference(superposition,[],[f548,f33]) ).
fof(f621,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f489,f18]) ).
fof(f653,plain,
theorem(or(sF16,or(sF13,sF18))),
inference(resolution,[],[f482,f383]) ).
fof(f687,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f479,f208]) ).
fof(f691,plain,
theorem(or(sF7,sF4)),
inference(superposition,[],[f479,f35]) ).
fof(f697,plain,
theorem(or(sF16,sF15)),
inference(superposition,[],[f479,f53]) ).
fof(f753,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f525,f470]) ).
fof(f759,plain,
! [X0,X1] :
( ~ theorem(or(not(sF8),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF7,or(X1,q))) ),
inference(superposition,[],[f525,f37]) ).
fof(f763,plain,
! [X0,X1] :
( ~ theorem(or(not(sF12),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF2,or(X1,sF11))) ),
inference(superposition,[],[f525,f45]) ).
fof(f766,plain,
! [X0,X1] :
( ~ theorem(or(sF2,or(X1,sF11)))
| theorem(or(X1,X0))
| ~ theorem(or(sF13,X0)) ),
inference(forward_demodulation,[],[f763,f47]) ).
fof(f770,plain,
! [X0,X1] :
( ~ theorem(or(sF7,or(X1,q)))
| theorem(or(X1,X0))
| ~ theorem(or(sF9,X0)) ),
inference(forward_demodulation,[],[f759,f39]) ).
fof(f795,plain,
! [X0] :
( theorem(or(X0,or(sF13,sF18)))
| ~ theorem(or(X0,sF15)) ),
inference(resolution,[],[f394,f653]) ).
fof(f810,definition,
( spl19_25
<=> theorem(or(sF13,sF18)) ),
introduced(definition,[new_symbols(definition,[spl19_25])],[avatar_definition]) ).
fof(f811,plain,
( ~ theorem(or(sF13,sF18))
| spl19_25 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f812,plain,
( theorem(or(sF13,sF18))
| ~ spl19_25 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f829,plain,
( ! [X0] :
( ~ theorem(or(X0,sF12))
| theorem(or(X0,sF18)) )
| ~ spl19_25 ),
inference(resolution,[],[f393,f812]) ).
fof(f844,plain,
( theorem(or(sF14,sF18))
| ~ spl19_25 ),
inference(resolution,[],[f829,f459]) ).
fof(f854,plain,
! [X0] :
( theorem(or(X0,not(sF11)))
| ~ theorem(or(X0,sF10)) ),
inference(resolution,[],[f391,f687]) ).
fof(f855,plain,
! [X0] :
( ~ theorem(or(X0,sF10))
| theorem(or(X0,sF14)) ),
inference(forward_demodulation,[],[f854,f49]) ).
fof(f948,definition,
( spl19_42
<=> theorem(or(sF11,sF9)) ),
introduced(definition,[new_symbols(definition,[spl19_42])],[avatar_definition]) ).
fof(f950,plain,
( theorem(or(sF11,sF9))
| ~ spl19_42 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f1002,plain,
( ! [X0] :
( ~ theorem(or(sF7,X0))
| theorem(or(sF3,X0)) )
| ~ spl19_20 ),
inference(resolution,[],[f376,f173]) ).
fof(f1263,definition,
( spl19_68
<=> theorem(or(sF9,sF1)) ),
introduced(definition,[new_symbols(definition,[spl19_68])],[avatar_definition]) ).
fof(f1264,plain,
( theorem(or(sF9,sF1))
| ~ spl19_68 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1265,plain,
( ~ theorem(or(sF9,sF1))
| spl19_68 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1297,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f437,f621]) ).
fof(f1319,plain,
theorem(or(not(p),sF4)),
inference(superposition,[],[f437,f29]) ).
fof(f1326,plain,
theorem(or(sF0,sF4)),
inference(forward_demodulation,[],[f1319,f21]) ).
fof(f1335,plain,
( theorem(or(sF3,sF5))
| ~ spl19_20 ),
inference(resolution,[],[f1002,f460]) ).
fof(f1341,plain,
( theorem(or(sF5,sF3))
| ~ spl19_20 ),
inference(resolution,[],[f1335,f208]) ).
fof(f1368,plain,
! [X0] :
( ~ theorem(or(X0,sF3))
| theorem(or(X0,sF5)) ),
inference(superposition,[],[f511,f31]) ).
fof(f1659,plain,
! [X0] :
( ~ theorem(or(sF7,sF4))
| theorem(or(p,X0))
| ~ theorem(or(sF9,X0)) ),
inference(superposition,[],[f770,f29]) ).
fof(f1661,plain,
! [X0] :
( ~ theorem(or(sF9,X0))
| theorem(or(p,X0)) ),
inference(forward_subsumption_resolution,[],[f1659,f691]) ).
fof(f1992,plain,
! [X0] :
( theorem(or(not(q),X0))
| ~ theorem(or(sF9,X0)) ),
inference(resolution,[],[f438,f770]) ).
fof(f2013,plain,
! [X0] :
( ~ theorem(or(sF9,X0))
| theorem(or(sF3,X0)) ),
inference(forward_demodulation,[],[f1992,f27]) ).
fof(f2136,plain,
! [X0,X1] :
( ~ theorem(or(X1,X1))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f753,f435]) ).
fof(f2330,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f1297,f472]) ).
fof(f2406,plain,
( theorem(or(sF5,sF5))
| ~ spl19_20 ),
inference(resolution,[],[f1341,f1368]) ).
fof(f2408,plain,
( ! [X0] : theorem(or(X0,sF5))
| ~ spl19_20 ),
inference(resolution,[],[f2406,f2136]) ).
fof(f2496,plain,
! [X0] :
( ~ theorem(or(not(or(sF6,X0)),sF5))
| theorem(or(not(or(sF6,X0)),X0)) ),
inference(resolution,[],[f605,f2330]) ).
fof(f2515,plain,
( ! [X0] : theorem(or(not(or(sF6,X0)),X0))
| ~ spl19_20 ),
inference(forward_subsumption_resolution,[],[f2496,f2408]) ).
fof(f2548,plain,
( theorem(or(not(sF10),sF9))
| ~ spl19_20 ),
inference(superposition,[],[f2515,f41]) ).
fof(f2549,plain,
( theorem(or(sF11,sF9))
| ~ spl19_20 ),
inference(forward_demodulation,[],[f2548,f43]) ).
fof(f2551,plain,
( spl19_42
| ~ spl19_20 ),
inference(avatar_split_clause,[],[f2549,f172,f948]) ).
fof(f2894,plain,
( ! [X0] :
( ~ theorem(or(X0,sF11))
| theorem(or(X0,sF18)) )
| ~ spl19_25 ),
inference(resolution,[],[f844,f392]) ).
fof(f2971,plain,
( theorem(or(sF9,sF11))
| ~ spl19_42 ),
inference(resolution,[],[f950,f208]) ).
fof(f2974,plain,
( theorem(or(sF9,sF18))
| ~ spl19_25
| ~ spl19_42 ),
inference(resolution,[],[f2971,f2894]) ).
fof(f2977,plain,
( theorem(or(p,sF18))
| ~ spl19_25
| ~ spl19_42 ),
inference(resolution,[],[f2974,f1661]) ).
fof(f2980,plain,
( theorem(or(sF18,p))
| ~ spl19_25
| ~ spl19_42 ),
inference(resolution,[],[f2977,f208]) ).
fof(f3691,plain,
! [X0] :
( theorem(or(sF0,X0))
| ~ theorem(or(sF13,X0))
| ~ theorem(or(sF3,sF11)) ),
inference(resolution,[],[f766,f380]) ).
fof(f3700,definition,
( spl19_184
<=> theorem(or(sF3,sF11)) ),
introduced(definition,[new_symbols(definition,[spl19_184])],[avatar_definition]) ).
fof(f3702,plain,
( ~ theorem(or(sF3,sF11))
| spl19_184 ),
inference(avatar_component_clause,[],[f3700]) ).
fof(f3704,definition,
( spl19_185
<=> ! [X0] :
( theorem(or(sF0,X0))
| ~ theorem(or(sF13,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl19_185])],[avatar_definition]) ).
fof(f3705,plain,
( ! [X0] :
( ~ theorem(or(sF13,X0))
| theorem(or(sF0,X0)) )
| ~ spl19_185 ),
inference(avatar_component_clause,[],[f3704]) ).
fof(f3706,plain,
( ~ spl19_184
| spl19_185 ),
inference(avatar_split_clause,[],[f3691,f3704,f3700]) ).
fof(f4369,plain,
( theorem(or(sF3,sF11))
| ~ spl19_42 ),
inference(resolution,[],[f2013,f2971]) ).
fof(f4388,plain,
( $false
| ~ spl19_42
| spl19_184 ),
inference(forward_subsumption_resolution,[],[f4369,f3702]) ).
fof(f4389,plain,
( ~ spl19_42
| spl19_184 ),
inference(avatar_contradiction_clause,[],[f4388]) ).
fof(f4604,plain,
( theorem(or(not(or(sF7,q)),sF1))
| ~ theorem(or(sF0,sF4)) ),
inference(superposition,[],[f604,f23]) ).
fof(f4639,plain,
theorem(or(not(or(sF7,q)),sF1)),
inference(forward_subsumption_resolution,[],[f4604,f1326]) ).
fof(f4642,plain,
theorem(or(not(sF8),sF1)),
inference(forward_demodulation,[],[f4639,f37]) ).
fof(f4644,plain,
theorem(or(sF9,sF1)),
inference(forward_demodulation,[],[f4642,f39]) ).
fof(f4645,plain,
( $false
| spl19_68 ),
inference(forward_subsumption_resolution,[],[f4644,f1265]) ).
fof(f4646,plain,
spl19_68,
inference(avatar_contradiction_clause,[],[f4645]) ).
fof(f4705,plain,
( theorem(or(sF0,sF18))
| ~ spl19_25
| ~ spl19_185 ),
inference(resolution,[],[f812,f3705]) ).
fof(f4709,plain,
( ! [X0] :
( ~ theorem(or(X0,p))
| theorem(or(X0,sF18)) )
| ~ spl19_25
| ~ spl19_185 ),
inference(resolution,[],[f4705,f385]) ).
fof(f4897,plain,
( theorem(or(sF18,sF18))
| ~ spl19_25
| ~ spl19_42
| ~ spl19_185 ),
inference(resolution,[],[f4709,f2980]) ).
fof(f4901,plain,
( theorem(sF18)
| ~ spl19_25
| ~ spl19_42
| ~ spl19_185 ),
inference(resolution,[],[f4897,f472]) ).
fof(f4903,plain,
( $false
| ~ spl19_25
| ~ spl19_42
| ~ spl19_185 ),
inference(forward_subsumption_resolution,[],[f4901,f58]) ).
fof(f4904,plain,
( ~ spl19_25
| ~ spl19_42
| ~ spl19_185 ),
inference(avatar_contradiction_clause,[],[f4903]) ).
fof(f5209,plain,
( theorem(or(sF1,sF9))
| ~ spl19_68 ),
inference(resolution,[],[f1264,f208]) ).
fof(f5215,plain,
( theorem(or(sF1,sF10))
| ~ spl19_68 ),
inference(resolution,[],[f5209,f521]) ).
fof(f5661,plain,
( theorem(or(sF1,sF14))
| ~ spl19_68 ),
inference(resolution,[],[f5215,f855]) ).
fof(f5666,plain,
( theorem(or(sF14,sF1))
| ~ spl19_68 ),
inference(resolution,[],[f5661,f208]) ).
fof(f5667,plain,
( theorem(sF15)
| ~ spl19_68 ),
inference(forward_demodulation,[],[f5666,f51]) ).
fof(f5670,plain,
( $false
| spl19_1
| ~ spl19_68 ),
inference(forward_subsumption_resolution,[],[f5667,f87]) ).
fof(f5671,plain,
( spl19_1
| ~ spl19_68 ),
inference(avatar_contradiction_clause,[],[f5670]) ).
fof(f5698,plain,
( theorem(or(sF13,sF18))
| ~ theorem(or(sF16,sF15))
| ~ spl19_2 ),
inference(resolution,[],[f90,f795]) ).
fof(f5709,plain,
( ~ theorem(or(sF16,sF15))
| ~ spl19_2
| spl19_25 ),
inference(forward_subsumption_resolution,[],[f5698,f811]) ).
fof(f5717,plain,
( $false
| ~ spl19_2
| spl19_25 ),
inference(forward_subsumption_resolution,[],[f5709,f697]) ).
fof(f5718,plain,
( ~ spl19_2
| spl19_25 ),
inference(avatar_contradiction_clause,[],[f5717]) ).
cnf(s1,plain,
( ~ spl19_1
| spl19_2 ),
inference(sat_conversion,[],[f91]) ).
cnf(s10,plain,
( ~ spl19_19
| spl19_20 ),
inference(sat_conversion,[],[f174]) ).
cnf(s12,plain,
spl19_19,
inference(sat_conversion,[],[f467]) ).
cnf(s84,plain,
( ~ spl19_20
| spl19_42 ),
inference(sat_conversion,[],[f2551]) ).
cnf(s132,plain,
( ~ spl19_184
| spl19_185 ),
inference(sat_conversion,[],[f3706]) ).
cnf(s144,plain,
( ~ spl19_42
| spl19_184 ),
inference(sat_conversion,[],[f4389]) ).
cnf(s150,plain,
spl19_68,
inference(sat_conversion,[],[f4646]) ).
cnf(s159,plain,
( ~ spl19_25
| ~ spl19_42
| ~ spl19_185 ),
inference(sat_conversion,[],[f4904]) ).
cnf(s192,plain,
( spl19_1
| ~ spl19_68 ),
inference(sat_conversion,[],[f5671]) ).
cnf(s197,plain,
( ~ spl19_2
| spl19_25 ),
inference(sat_conversion,[],[f5718]) ).
cnf(s199,plain,
spl19_1,
inference(rat,[],[s192,s150]) ).
cnf(s204,plain,
spl19_20,
inference(rat,[],[s10,s12]) ).
cnf(s205,plain,
spl19_42,
inference(rat,[],[s84,s204]) ).
cnf(s206,plain,
spl19_184,
inference(rat,[],[s144,s205]) ).
cnf(s208,plain,
spl19_185,
inference(rat,[],[s132,s206]) ).
cnf(s211,plain,
~ spl19_25,
inference(rat,[],[s159,s205,s208]) ).
cnf(s213,plain,
~ spl19_2,
inference(rat,[],[s197,s211]) ).
cnf(s236,plain,
$false,
inference(rat,[],[s1,s213,s199]) ).
fof(f5720,plain,
$false,
inference(avatar_sat_refutation,[],[s236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL304-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n005.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 15:33:17 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 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
% 19.13/4.06 % (4146707)Input is clausal, will run a generic CNF schedule.
% 19.13/4.06 % (4146733)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3862150831:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 19.13/4.06 % (4146729)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=891903606:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 19.13/4.06 % (4146730)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3632723958:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 19.13/4.06 % (4146731)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1997748255:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 19.13/4.06 % (4146733)Instruction limit reached!
% 19.13/4.06 % (4146733)------------------------------
% 19.13/4.06 % (4146733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/4.06 % (4146733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/4.06 % (4146733)CaDiCaL version: 2.1.3
% 19.13/4.06 % (4146733)Termination reason: Instruction limit
% 19.13/4.06 % (4146733)Termination phase: Saturation
% 19.13/4.06 % (4146733)Time elapsed: 0.056 s
% 19.13/4.06 % (4146733)Peak memory usage: 89 MB
% 19.13/4.06 % (4146733)Instructions burned: 115 (million)
% 19.13/4.06 % (4146732)lrs+10_1_sil=8000:sp=occurrence:random_seed=737706281:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 19.13/4.06 % (4146734)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=644860531:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 19.13/4.06 % (4146735)dis-21_1_sil=8000:lcm=predicate:random_seed=2033013022:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 19.13/4.06 % (4146735)Instruction limit reached!
% 19.13/4.06 % (4146735)------------------------------
% 19.13/4.06 % (4146735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/4.06 % (4146735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/4.06 % (4146735)CaDiCaL version: 2.1.3
% 19.13/4.06 % (4146735)Termination reason: Instruction limit
% 19.13/4.06 % (4146735)Termination phase: Saturation
% 19.13/4.06 % (4146735)Time elapsed: 0.092 s
% 19.13/4.06 % (4146735)Peak memory usage: 87 MB
% 19.13/4.06 % (4146735)Instructions burned: 117 (million)
% 19.13/4.06 % (4146732)Instruction limit reached!
% 19.13/4.06 % (4146732)------------------------------
% 19.13/4.06 % (4146732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/4.06 % (4146732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/4.06 % (4146732)CaDiCaL version: 2.1.3
% 19.13/4.06 % (4146732)Termination reason: Instruction limit
% 19.13/4.06 % (4146732)Termination phase: Saturation
% 19.13/4.06 % (4146732)Time elapsed: 0.113 s
% 19.13/4.06 % (4146732)Peak memory usage: 89 MB
% 19.13/4.06 % (4146732)Instructions burned: 107 (million)
% 19.13/4.06 % (4146734)Instruction limit reached!
% 19.13/4.06 % (4146734)------------------------------
% 19.13/4.06 % (4146734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/4.06 % (4146734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/4.06 % (4146734)CaDiCaL version: 2.1.3
% 19.13/4.06 % (4146734)Termination reason: Instruction limit
% 19.13/4.06 % (4146734)Termination phase: Saturation
% 19.13/4.06 % (4146734)Time elapsed: 0.177 s
% 19.13/4.06 % (4146734)Peak memory usage: 89 MB
% 19.13/4.06 % (4146734)Instructions burned: 180 (million)
% 19.13/4.06 % (4146740)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2426392321:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 19.13/4.06 % (4146740)Refutation not found, incomplete strategy
% 19.13/4.06 % (4146740)------------------------------
% 19.13/4.06 % (4146740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/4.06 % (4146740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/4.06 % (4146740)CaDiCaL version: 2.1.3
% 19.13/4.06 % (4146740)Termination reason: Refutation not found, incomplete strategy
% 19.13/4.06 % (4146740)Time elapsed: 0.001 s
% 19.13/4.06 % (4146740)Peak memory usage: 88 MB
% 19.13/4.06 % (4146744)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3398148109:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 18.29/4.20 % (4146744)Refutation not found, incomplete strategy
% 18.29/4.20 % (4146744)------------------------------
% 18.29/4.20 % (4146744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.29/4.20 % (4146744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/4.20 % (4146744)CaDiCaL version: 2.1.3
% 18.29/4.20 % (4146744)Termination reason: Refutation not found, incomplete strategy
% 18.29/4.20 % (4146744)Time elapsed: 0.002 s
% 18.29/4.20 % (4146744)Peak memory usage: 87 MB
% 18.29/4.20 % (4146745)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=474533488:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 18.29/4.20 % (4146745)Refutation not found, incomplete strategy
% 18.29/4.20 % (4146745)------------------------------
% 18.29/4.20 % (4146745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.29/4.20 % (4146745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/4.20 % (4146745)CaDiCaL version: 2.1.3
% 18.29/4.20 % (4146745)Termination reason: Refutation not found, incomplete strategy
% 18.29/4.20 % (4146745)Time elapsed: 0.002 s
% 18.29/4.20 % (4146745)Peak memory usage: 88 MB
% 18.29/4.20 % (4146746)lrs+10_64_to=lpo:sil=8000:random_seed=1191576850:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 18.29/4.20 % (4146740)------------------------------
% 18.29/4.20 % (4146740)------------------------------
% 18.29/4.20 % (4146746)Instruction limit reached!
% 18.29/4.20 % (4146746)------------------------------
% 18.29/4.20 % (4146746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.29/4.20 % (4146746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/4.20 % (4146746)CaDiCaL version: 2.1.3
% 18.29/4.20 % (4146746)Termination reason: Instruction limit
% 18.29/4.20 % (4146746)Termination phase: Saturation
% 18.29/4.20 % (4146746)Time elapsed: 0.120 s
% 18.29/4.20 % (4146746)Peak memory usage: 89 MB
% 18.29/4.20 % (4146746)Instructions burned: 126 (million)
% 18.29/4.20 % (4146751)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2643490667:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 18.29/4.20 % (4146744)------------------------------
% 18.29/4.20 % (4146744)------------------------------
% 18.29/4.20 % (4146745)------------------------------
% 18.29/4.20 % (4146745)------------------------------
% 18.29/4.20 % (4146751)Instruction limit reached!
% 18.29/4.20 % (4146751)------------------------------
% 18.29/4.20 % (4146751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.29/4.20 % (4146751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/4.20 % (4146751)CaDiCaL version: 2.1.3
% 18.29/4.20 % (4146751)Termination reason: Instruction limit
% 18.29/4.20 % (4146751)Termination phase: Saturation
% 18.29/4.20 % (4146751)Time elapsed: 0.174 s
% 18.29/4.20 % (4146751)Peak memory usage: 89 MB
% 18.29/4.20 % (4146751)Instructions burned: 195 (million)
% 18.29/4.20 % (4146752)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=647561135:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 18.29/4.20 % (4146752)Instruction limit reached!
% 18.29/4.20 % (4146752)------------------------------
% 18.29/4.20 % (4146752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.29/4.20 % (4146752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/4.20 % (4146752)CaDiCaL version: 2.1.3
% 18.29/4.20 % (4146752)Termination reason: Instruction limit
% 18.29/4.20 % (4146752)Termination phase: Saturation
% 18.29/4.20 % (4146752)Time elapsed: 0.154 s
% 18.29/4.20 % (4146752)Peak memory usage: 91 MB
% 18.29/4.20 % (4146752)Instructions burned: 157 (million)
% 18.29/4.20 % (4146754)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3263646867:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 18.29/4.20 % (4146755)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3744362556:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 18.29/4.20 % (4146757)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=152608292:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 18.29/4.20 % (4146757)Refutation not found, incomplete strategy
% 21.61/4.20 % (4146757)------------------------------
% 21.61/4.20 % (4146757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/4.20 % (4146757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/4.20 % (4146757)CaDiCaL version: 2.1.3
% 21.61/4.20 % (4146757)Termination reason: Refutation not found, incomplete strategy
% 21.61/4.20 % (4146757)Time elapsed: 0.002 s
% 21.61/4.20 % (4146757)Peak memory usage: 87 MB
% 21.61/4.20 % (4146755)Instruction limit reached!
% 21.61/4.20 % (4146755)------------------------------
% 21.61/4.20 % (4146755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/4.20 % (4146755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/4.20 % (4146755)CaDiCaL version: 2.1.3
% 21.61/4.20 % (4146755)Termination reason: Instruction limit
% 21.61/4.20 % (4146755)Termination phase: Saturation
% 21.61/4.20 % (4146755)Time elapsed: 0.100 s
% 21.61/4.20 % (4146755)Peak memory usage: 89 MB
% 21.61/4.20 % (4146755)Instructions burned: 107 (million)
% 21.61/4.20 % (4146758)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2282067673:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 21.61/4.20 % (4146762)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=851082098:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 21.61/4.20 % (4146757)------------------------------
% 21.61/4.20 % (4146757)------------------------------
% 21.61/4.20 % (4146758)Instruction limit reached!
% 21.61/4.20 % (4146758)------------------------------
% 21.61/4.20 % (4146758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/4.20 % (4146758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/4.20 % (4146758)CaDiCaL version: 2.1.3
% 21.61/4.20 % (4146758)Termination reason: Instruction limit
% 21.61/4.20 % (4146758)Termination phase: Saturation
% 21.61/4.20 % (4146758)Time elapsed: 0.245 s
% 21.61/4.20 % (4146758)Peak memory usage: 90 MB
% 21.61/4.20 % (4146758)Instructions burned: 243 (million)
% 21.61/4.20 % (4146765)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=257936583:i=134:sd=2:doe=on:ss=axioms:sgt=14_2981 on theBenchmark for (2981ds/134Mi)
% 21.61/4.20 % (4146766)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=605044882:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 21.61/4.20 % (4146765)Instruction limit reached!
% 21.61/4.20 % (4146765)------------------------------
% 21.61/4.20 % (4146765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/4.20 % (4146765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/4.20 % (4146765)CaDiCaL version: 2.1.3
% 21.61/4.20 % (4146765)Termination reason: Instruction limit
% 21.61/4.20 % (4146765)Termination phase: Saturation
% 21.61/4.20 % (4146765)Time elapsed: 0.127 s
% 21.61/4.20 % (4146765)Peak memory usage: 89 MB
% 21.61/4.20 % (4146765)Instructions burned: 134 (million)
% 21.61/4.20 % (4146729)First to succeed.
% 21.61/4.20 % (4146729)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4146707"
% 21.61/4.20 % (4146769)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2196232166:i=191:fgj=on:bd=all_2976 on theBenchmark for (2976ds/191Mi)
% 21.61/4.20 % (4146766)Instruction limit reached!
% 21.61/4.20 % (4146766)------------------------------
% 21.61/4.20 % (4146766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/4.20 % (4146766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/4.20 % (4146766)CaDiCaL version: 2.1.3
% 21.61/4.20 % (4146766)Termination reason: Instruction limit
% 21.61/4.20 % (4146766)Termination phase: Saturation
% 21.61/4.20 % (4146766)Time elapsed: 0.459 s
% 21.61/4.20 % (4146766)Peak memory usage: 93 MB
% 21.61/4.20 % (4146766)Instructions burned: 499 (million)
% 21.61/4.20 % (4146769)Instruction limit reached!
% 21.61/4.20 % (4146769)------------------------------
% 21.61/4.20 % (4146769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/4.20 % (4146769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/4.20 % (4146769)CaDiCaL version: 2.1.3
% 21.61/4.20 % (4146769)Termination reason: Instruction limit
% 21.61/4.20 % (4146769)Termination phase: Saturation
% 21.61/4.20 % (4146769)Time elapsed: 0.197 s
% 21.61/4.20 % (4146769)Peak memory usage: 92 MB
% 21.61/4.20 % (4146769)Instructions burned: 191 (million)
% 21.61/4.20 % (4146771)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=165956404:i=264:kws=precedence:fsr=off_2973 on theBenchmark for (2973ds/264Mi)
% 21.61/4.20 % (4146729)Refutation found. Thanks to Tanya!
% 21.61/4.20 % SZS status Unsatisfiable for theBenchmark
% 21.61/4.20 % SZS output start Proof for theBenchmark
% See solution above
% 21.91/4.59 % (4146729)------------------------------
% 21.91/4.59 % (4146729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.91/4.59 % (4146729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.91/4.59 % (4146729)CaDiCaL version: 2.1.3
% 21.91/4.59 % (4146729)Termination reason: Refutation
% 21.91/4.59 % (4146729)Time elapsed: 2.261 s
% 21.91/4.59 % (4146729)Peak memory usage: 139 MB
% 21.91/4.59 % (4146729)Instructions burned: 2089 (million)
% 21.91/4.59 % (4146729)------------------------------
% 21.91/4.59 % (4146729)------------------------------
% 21.91/4.59 % (4146707)Success in time 2.951 s
% 21.91/4.59 % Vampire exiting
%------------------------------------------------------------------------------