%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL330-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:52:00 AM UTC 2026
% Result : Unsatisfiable 15.21s 2.86s
% Output : Refutation 16.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 29
% Syntax : Number of formulae : 173 ( 81 unt; 18 def)
% Number of atoms : 300 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 254 ( 127 ~; 122 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn 157 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(or(p,q),implies(implies(p,q),q))),
file('/export/starexec/sandbox2/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(p,q)),or(not(or(not(p),q)),q))),not(or(not(or(not(or(not(p),q)),q)),or(p,q)))))),
inference(definition_unfolding,[],[f11,f12,f6,f6]) ).
fof(f20,definition,
sF0 = or(p,q),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
or(p,q) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(p),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(p) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = or(sF2,q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
or(sF2,q) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = or(sF4,q),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
or(sF4,q) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = or(sF1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
or(sF1,sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = not(sF5),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
not(sF5) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = or(sF8,sF0),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF8,sF0) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = not(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
not(sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = or(sF7,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
or(sF7,sF10) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = not(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
not(sF11) = sF12,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
~ theorem(sF12),
inference(definition_folding,[],[f19,f45,f43,f41,f39,f21,f37,f31,f29,f27,f25,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f47,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f48,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f55,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f47]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f48]) ).
fof(f84,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f56,f47]) ).
fof(f97,plain,
! [X0] :
( ~ theorem(or(sF10,X0))
| theorem(X0)
| ~ theorem(sF9) ),
inference(superposition,[],[f18,f41]) ).
fof(f101,definition,
( spl13_9
<=> theorem(sF9) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f102,plain,
( theorem(sF9)
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( ~ theorem(sF9)
| spl13_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl13_10
<=> ! [X0] :
( ~ theorem(or(sF10,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f106,plain,
( ! [X0] :
( ~ theorem(or(sF10,X0))
| theorem(X0) )
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( ~ spl13_9
| spl13_10 ),
inference(avatar_split_clause,[],[f97,f105,f101]) ).
fof(f137,plain,
! [X0] : theorem(or(not(or(sF4,or(X0,q))),or(X0,sF5))),
inference(superposition,[],[f48,f31]) ).
fof(f141,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f148,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f141,f18]) ).
fof(f185,plain,
theorem(or(not(sF11),or(sF10,sF7))),
inference(superposition,[],[f141,f43]) ).
fof(f186,plain,
theorem(or(sF12,or(sF10,sF7))),
inference(forward_demodulation,[],[f185,f45]) ).
fof(f199,plain,
! [X0] : theorem(or(not(or(sF8,or(X0,sF0))),or(X0,sF9))),
inference(superposition,[],[f48,f39]) ).
fof(f202,plain,
theorem(or(not(sF9),or(sF0,sF8))),
inference(superposition,[],[f141,f39]) ).
fof(f203,plain,
theorem(or(sF10,or(sF0,sF8))),
inference(forward_demodulation,[],[f202,f41]) ).
fof(f239,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f264,plain,
theorem(or(not(q),sF0)),
inference(superposition,[],[f239,f21]) ).
fof(f265,plain,
theorem(or(not(q),sF5)),
inference(superposition,[],[f239,f31]) ).
fof(f268,plain,
theorem(or(not(sF5),sF6)),
inference(superposition,[],[f239,f33]) ).
fof(f270,plain,
theorem(or(sF8,sF6)),
inference(forward_demodulation,[],[f268,f37]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f55,f18]) ).
fof(f285,plain,
! [X0] :
( theorem(or(not(sF0),or(p,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f55,f21]) ).
fof(f286,plain,
! [X0] :
( theorem(or(not(sF5),or(sF4,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f55,f31]) ).
fof(f301,plain,
! [X0] :
( theorem(or(sF8,or(sF4,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f286,f37]) ).
fof(f302,plain,
! [X0] :
( theorem(or(sF1,or(p,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f285,f23]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f282,f141]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f282,f55]) ).
fof(f309,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f282,f239]) ).
fof(f312,plain,
! [X0,X1] :
( ~ theorem(or(sF4,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF3)) ),
inference(superposition,[],[f282,f29]) ).
fof(f313,plain,
! [X0,X1] :
( ~ theorem(or(sF8,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF5)) ),
inference(superposition,[],[f282,f37]) ).
fof(f314,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f282,f35]) ).
fof(f315,plain,
! [X0,X1] :
( ~ theorem(or(sF10,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF9)) ),
inference(superposition,[],[f282,f41]) ).
fof(f321,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f307,f239]) ).
fof(f328,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f329,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f328,f282]) ).
fof(f330,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f328,f18]) ).
fof(f337,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f329,f239]) ).
fof(f340,plain,
theorem(or(sF10,or(sF12,sF7))),
inference(resolution,[],[f186,f56]) ).
fof(f345,plain,
theorem(or(sF10,or(sF7,sF12))),
inference(resolution,[],[f340,f307]) ).
fof(f349,plain,
theorem(or(sF7,or(sF10,sF12))),
inference(resolution,[],[f345,f56]) ).
fof(f352,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,[],[f308,f48]) ).
fof(f353,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f308,f141]) ).
fof(f371,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f309,f307]) ).
fof(f382,plain,
! [X0] :
( ~ theorem(or(sF4,or(X0,q)))
| theorem(or(X0,sF5)) ),
inference(resolution,[],[f137,f18]) ).
fof(f398,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f353,f329]) ).
fof(f420,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f84,f18]) ).
fof(f464,plain,
! [X0,X1] :
( theorem(or(not(or(sF10,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF9)) ),
inference(superposition,[],[f420,f41]) ).
fof(f473,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f352,f18]) ).
fof(f518,plain,
theorem(or(sF4,sF3)),
inference(superposition,[],[f337,f29]) ).
fof(f521,plain,
theorem(or(sF10,sF9)),
inference(superposition,[],[f337,f41]) ).
fof(f591,plain,
! [X0] :
( ~ theorem(or(X0,sF2))
| theorem(or(X0,sF3)) ),
inference(superposition,[],[f371,f27]) ).
fof(f610,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f473,f328]) ).
fof(f618,plain,
! [X0,X1] :
( ~ theorem(or(not(sF9),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF8,or(X1,sF0))) ),
inference(superposition,[],[f473,f39]) ).
fof(f619,plain,
! [X0,X1] :
( ~ theorem(or(not(sF6),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF1,or(X1,sF5))) ),
inference(superposition,[],[f473,f33]) ).
fof(f622,plain,
! [X0,X1] :
( ~ theorem(or(sF1,or(X1,sF5)))
| theorem(or(X1,X0))
| ~ theorem(or(sF7,X0)) ),
inference(forward_demodulation,[],[f619,f35]) ).
fof(f623,plain,
! [X0,X1] :
( ~ theorem(or(sF8,or(X1,sF0)))
| theorem(or(X1,X0))
| ~ theorem(or(sF10,X0)) ),
inference(forward_demodulation,[],[f618,f41]) ).
fof(f634,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f398,f473]) ).
fof(f701,plain,
! [X0] :
( theorem(or(X0,or(sF7,sF12)))
| ~ theorem(or(X0,sF9)) ),
inference(resolution,[],[f315,f345]) ).
fof(f742,definition,
( spl13_32
<=> theorem(or(sF4,sF9)) ),
introduced(definition,[new_symbols(definition,[spl13_32])],[avatar_definition]) ).
fof(f743,plain,
( theorem(or(sF4,sF9))
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f744,plain,
( ~ theorem(or(sF4,sF9))
| spl13_32 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f747,definition,
( spl13_33
<=> theorem(or(sF7,sF12)) ),
introduced(definition,[new_symbols(definition,[spl13_33])],[avatar_definition]) ).
fof(f748,plain,
( ~ theorem(or(sF7,sF12))
| spl13_33 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f749,plain,
( theorem(or(sF7,sF12))
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f754,plain,
( ! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF12)) )
| ~ spl13_33 ),
inference(resolution,[],[f749,f314]) ).
fof(f759,plain,
( theorem(or(sF8,sF12))
| ~ spl13_33 ),
inference(resolution,[],[f754,f270]) ).
fof(f786,plain,
theorem(or(not(p),sF0)),
inference(superposition,[],[f321,f21]) ).
fof(f792,plain,
theorem(or(sF2,sF0)),
inference(forward_demodulation,[],[f786,f25]) ).
fof(f888,plain,
( ! [X0] :
( ~ theorem(or(X0,sF5))
| theorem(or(X0,sF12)) )
| ~ spl13_33 ),
inference(resolution,[],[f313,f759]) ).
fof(f989,plain,
( ~ theorem(or(sF4,sF3))
| theorem(or(sF2,sF5)) ),
inference(superposition,[],[f382,f27]) ).
fof(f990,plain,
theorem(or(sF2,sF5)),
inference(forward_subsumption_resolution,[],[f989,f518]) ).
fof(f993,plain,
( theorem(or(sF2,sF12))
| ~ spl13_33 ),
inference(resolution,[],[f990,f888]) ).
fof(f1014,plain,
theorem(or(sF0,sF2)),
inference(resolution,[],[f792,f148]) ).
fof(f1272,plain,
! [X0] :
( ~ theorem(or(sF8,or(X0,sF0)))
| theorem(or(X0,sF9)) ),
inference(resolution,[],[f199,f18]) ).
fof(f1281,plain,
( theorem(or(sF4,sF9))
| ~ theorem(or(not(q),sF0)) ),
inference(resolution,[],[f1272,f301]) ).
fof(f1288,plain,
( ~ theorem(or(not(q),sF0))
| spl13_32 ),
inference(forward_subsumption_resolution,[],[f1281,f744]) ).
fof(f1289,plain,
( $false
| spl13_32 ),
inference(forward_subsumption_resolution,[],[f1288,f264]) ).
fof(f1290,plain,
spl13_32,
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1454,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(sF10,X1))
| ~ theorem(or(sF8,sF0)) ),
inference(resolution,[],[f623,f309]) ).
fof(f1457,plain,
! [X0,X1] :
( ~ theorem(sF9)
| theorem(or(X0,X1))
| ~ theorem(or(sF10,X1)) ),
inference(forward_demodulation,[],[f1454,f39]) ).
fof(f1575,plain,
( ! [X0] :
( ~ theorem(or(X0,sF3))
| theorem(or(X0,sF9)) )
| ~ spl13_32 ),
inference(resolution,[],[f743,f312]) ).
fof(f1589,plain,
theorem(or(sF0,sF3)),
inference(resolution,[],[f1014,f591]) ).
fof(f1591,plain,
( theorem(or(sF0,sF9))
| ~ spl13_32 ),
inference(resolution,[],[f1589,f1575]) ).
fof(f1593,plain,
! [X0] :
( theorem(or(p,X0))
| ~ theorem(or(sF7,X0))
| ~ theorem(or(not(q),sF5)) ),
inference(resolution,[],[f622,f302]) ).
fof(f1600,plain,
! [X0] :
( ~ theorem(or(sF7,X0))
| theorem(or(p,X0)) ),
inference(forward_subsumption_resolution,[],[f1593,f265]) ).
fof(f1606,plain,
theorem(or(p,or(sF10,sF12))),
inference(resolution,[],[f1600,f349]) ).
fof(f1685,plain,
( ~ theorem(or(sF0,sF9))
| theorem(sF9) ),
inference(superposition,[],[f610,f39]) ).
fof(f1690,plain,
( theorem(sF9)
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f1685,f1591]) ).
fof(f1721,plain,
( $false
| spl13_9
| ~ spl13_32 ),
inference(forward_subsumption_resolution,[],[f1690,f103]) ).
fof(f1722,plain,
( spl13_9
| ~ spl13_32 ),
inference(avatar_contradiction_clause,[],[f1721]) ).
fof(f1727,plain,
( ! [X0,X1] :
( ~ theorem(or(sF10,X1))
| theorem(or(X0,X1)) )
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f1457,f102]) ).
fof(f1743,plain,
( theorem(or(sF7,sF12))
| ~ theorem(or(sF10,sF9))
| ~ spl13_10 ),
inference(resolution,[],[f106,f701]) ).
fof(f1747,plain,
( ~ theorem(or(sF10,sF9))
| ~ spl13_10
| spl13_33 ),
inference(forward_subsumption_resolution,[],[f1743,f748]) ).
fof(f1751,plain,
( $false
| ~ spl13_10
| spl13_33 ),
inference(forward_subsumption_resolution,[],[f1747,f521]) ).
fof(f1752,plain,
( ~ spl13_10
| spl13_33 ),
inference(avatar_contradiction_clause,[],[f1751]) ).
fof(f1915,plain,
( ! [X0] : theorem(or(X0,or(sF0,sF8)))
| ~ spl13_9 ),
inference(resolution,[],[f1727,f203]) ).
fof(f1932,plain,
( ! [X0] : theorem(or(X0,or(sF8,sF0)))
| ~ spl13_9 ),
inference(resolution,[],[f1915,f307]) ).
fof(f1956,plain,
( ! [X0] : theorem(or(X0,sF9))
| ~ spl13_9 ),
inference(forward_demodulation,[],[f1932,f39]) ).
fof(f2682,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,sF9))
| theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X1,or(sF10,X2))) ),
inference(resolution,[],[f464,f282]) ).
fof(f2708,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(sF10,X2)))
| theorem(or(X1,or(X0,X2))) )
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f2682,f1956]) ).
fof(f2738,plain,
( ! [X0] : theorem(or(p,or(X0,sF12)))
| ~ spl13_9 ),
inference(resolution,[],[f2708,f1606]) ).
fof(f2932,definition,
( spl13_92
<=> ! [X0] : theorem(or(X0,sF12)) ),
introduced(definition,[new_symbols(definition,[spl13_92])],[avatar_definition]) ).
fof(f2933,plain,
( ! [X0] : theorem(or(X0,sF12))
| ~ spl13_92 ),
inference(avatar_component_clause,[],[f2932]) ).
fof(f4189,plain,
( ! [X0] :
( theorem(or(X0,sF12))
| ~ theorem(or(not(p),sF12)) )
| ~ spl13_9 ),
inference(resolution,[],[f634,f2738]) ).
fof(f4450,plain,
( ! [X0] :
( ~ theorem(or(sF2,sF12))
| theorem(or(X0,sF12)) )
| ~ spl13_9 ),
inference(forward_demodulation,[],[f4189,f25]) ).
fof(f4477,plain,
( ! [X0] : theorem(or(X0,sF12))
| ~ spl13_9
| ~ spl13_33 ),
inference(forward_subsumption_resolution,[],[f4450,f993]) ).
fof(f4482,plain,
( spl13_92
| ~ spl13_9
| ~ spl13_33 ),
inference(avatar_split_clause,[],[f4477,f747,f101,f2932]) ).
fof(f4486,plain,
( theorem(sF12)
| ~ spl13_92 ),
inference(resolution,[],[f2933,f330]) ).
fof(f4518,plain,
( $false
| ~ spl13_92 ),
inference(forward_subsumption_resolution,[],[f4486,f46]) ).
fof(f4519,plain,
~ spl13_92,
inference(avatar_contradiction_clause,[],[f4518]) ).
cnf(s5,plain,
( ~ spl13_9
| spl13_10 ),
inference(sat_conversion,[],[f107]) ).
cnf(s28,plain,
spl13_32,
inference(sat_conversion,[],[f1290]) ).
cnf(s40,plain,
( spl13_9
| ~ spl13_32 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s43,plain,
( ~ spl13_10
| spl13_33 ),
inference(sat_conversion,[],[f1752]) ).
cnf(s145,plain,
( ~ spl13_9
| ~ spl13_33
| spl13_92 ),
inference(sat_conversion,[],[f4482]) ).
cnf(s148,plain,
~ spl13_92,
inference(sat_conversion,[],[f4519]) ).
cnf(s149,plain,
( ~ spl13_9
| ~ spl13_33 ),
inference(rat,[],[s145,s148]) ).
cnf(s157,plain,
spl13_9,
inference(rat,[],[s40,s28]) ).
cnf(s158,plain,
~ spl13_33,
inference(rat,[],[s149,s157]) ).
cnf(s165,plain,
~ spl13_10,
inference(rat,[],[s43,s158]) ).
cnf(s168,plain,
$false,
inference(rat,[],[s5,s165,s157]) ).
fof(f4520,plain,
$false,
inference(avatar_sat_refutation,[],[s168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL330-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n007.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 15:32:55 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.39/2.61 % (1598291)Input is clausal, will run a generic CNF schedule.
% 13.39/2.61 % (1598316)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=478571082:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.39/2.61 % (1598313)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2227335734:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.39/2.61 % (1598311)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=1512208323:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.39/2.61 % (1598314)lrs+10_1_sil=8000:sp=occurrence:random_seed=4276758309:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.39/2.61 % (1598312)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=184326505:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.39/2.61 % (1598317)dis-21_1_sil=8000:lcm=predicate:random_seed=2282690586: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)
% 13.39/2.61 % (1598315)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2878484906:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.39/2.61 % (1598316)Instruction limit reached!
% 13.39/2.61 % (1598316)------------------------------
% 13.39/2.61 % (1598316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.61 % (1598316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (1598316)CaDiCaL version: 2.1.3
% 13.39/2.61 % (1598316)Termination reason: Instruction limit
% 13.39/2.61 % (1598316)Termination phase: Saturation
% 13.39/2.61 % (1598316)Time elapsed: 0.060 s
% 13.39/2.61 % (1598316)Peak memory usage: 89 MB
% 13.39/2.61 % (1598316)Instructions burned: 183 (million)
% 13.39/2.61 % (1598317)Instruction limit reached!
% 13.39/2.61 % (1598317)------------------------------
% 13.39/2.61 % (1598317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.61 % (1598317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (1598317)CaDiCaL version: 2.1.3
% 13.39/2.61 % (1598317)Termination reason: Instruction limit
% 13.39/2.61 % (1598317)Termination phase: Saturation
% 13.39/2.61 % (1598317)Time elapsed: 0.058 s
% 13.39/2.61 % (1598317)Peak memory usage: 88 MB
% 13.39/2.61 % (1598317)Instructions burned: 119 (million)
% 13.39/2.61 % (1598314)Instruction limit reached!
% 13.39/2.61 % (1598314)------------------------------
% 13.39/2.61 % (1598314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.61 % (1598314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (1598314)CaDiCaL version: 2.1.3
% 13.39/2.61 % (1598314)Termination reason: Instruction limit
% 13.39/2.61 % (1598314)Termination phase: Saturation
% 13.39/2.61 % (1598314)Time elapsed: 0.069 s
% 13.39/2.61 % (1598314)Peak memory usage: 89 MB
% 13.39/2.61 % (1598314)Instructions burned: 107 (million)
% 13.39/2.61 % (1598315)Instruction limit reached!
% 13.39/2.61 % (1598315)------------------------------
% 13.39/2.61 % (1598315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.61 % (1598315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (1598315)CaDiCaL version: 2.1.3
% 13.39/2.61 % (1598315)Termination reason: Instruction limit
% 13.39/2.61 % (1598315)Termination phase: Saturation
% 13.39/2.61 % (1598315)Time elapsed: 0.113 s
% 13.39/2.61 % (1598315)Peak memory usage: 89 MB
% 13.39/2.61 % (1598315)Instructions burned: 114 (million)
% 13.39/2.61 % (1598338)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=1899432046:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.39/2.61 % (1598338)Refutation not found, incomplete strategy
% 13.39/2.61 % (1598338)------------------------------
% 13.39/2.61 % (1598338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.61 % (1598338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (1598338)CaDiCaL version: 2.1.3
% 13.39/2.61 % (1598338)Termination reason: Refutation not found, incomplete strategy
% 13.39/2.61 % (1598338)Time elapsed: 0.001 s
% 13.39/2.61 % (1598338)Peak memory usage: 88 MB
% 13.39/2.61 % (1598339)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1148521340:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 15.21/2.86 % (1598340)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3685816681:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.21/2.86 % (1598339)Refutation not found, incomplete strategy
% 15.21/2.86 % (1598339)------------------------------
% 15.21/2.86 % (1598339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598339)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598339)Termination reason: Refutation not found, incomplete strategy
% 15.21/2.86 % (1598339)Time elapsed: 0.001 s
% 15.21/2.86 % (1598339)Peak memory usage: 87 MB
% 15.21/2.86 % (1598340)Refutation not found, incomplete strategy
% 15.21/2.86 % (1598340)------------------------------
% 15.21/2.86 % (1598340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598340)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598340)Termination reason: Refutation not found, incomplete strategy
% 15.21/2.86 % (1598340)Time elapsed: 0.001 s
% 15.21/2.86 % (1598340)Peak memory usage: 87 MB
% 15.21/2.86 % (1598340)Instructions burned: 1 (million)
% 15.21/2.86 % (1598338)------------------------------
% 15.21/2.86 % (1598338)------------------------------
% 15.21/2.86 % (1598341)lrs+10_64_to=lpo:sil=8000:random_seed=410319090:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 15.21/2.86 % (1598341)Instruction limit reached!
% 15.21/2.86 % (1598341)------------------------------
% 15.21/2.86 % (1598341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598341)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598341)Termination reason: Instruction limit
% 15.21/2.86 % (1598341)Termination phase: Saturation
% 15.21/2.86 % (1598341)Time elapsed: 0.073 s
% 15.21/2.86 % (1598341)Peak memory usage: 89 MB
% 15.21/2.86 % (1598341)Instructions burned: 126 (million)
% 15.21/2.86 % (1598346)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1649015273:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 15.21/2.86 % (1598340)------------------------------
% 15.21/2.86 % (1598340)------------------------------
% 15.21/2.86 % (1598339)------------------------------
% 15.21/2.86 % (1598339)------------------------------
% 15.21/2.86 % (1598346)Instruction limit reached!
% 15.21/2.86 % (1598346)------------------------------
% 15.21/2.86 % (1598346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598346)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598346)Termination reason: Instruction limit
% 15.21/2.86 % (1598346)Termination phase: Saturation
% 15.21/2.86 % (1598346)Time elapsed: 0.071 s
% 15.21/2.86 % (1598346)Peak memory usage: 90 MB
% 15.21/2.86 % (1598346)Instructions burned: 201 (million)
% 15.21/2.86 % (1598347)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=639590852:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 15.21/2.86 % (1598350)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=748523403:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 15.21/2.86 % (1598349)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=624873386:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 15.21/2.86 % (1598347)Instruction limit reached!
% 15.21/2.86 % (1598347)------------------------------
% 15.21/2.86 % (1598347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598347)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598347)Termination reason: Instruction limit
% 15.21/2.86 % (1598347)Termination phase: Saturation
% 15.21/2.86 % (1598347)Time elapsed: 0.134 s
% 15.21/2.86 % (1598347)Peak memory usage: 91 MB
% 15.21/2.86 % (1598347)Instructions burned: 158 (million)
% 15.21/2.86 % (1598355)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3110746691:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 15.21/2.86 % (1598355)Refutation not found, incomplete strategy
% 15.21/2.86 % (1598355)------------------------------
% 15.21/2.86 % (1598355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598355)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598355)Termination reason: Refutation not found, incomplete strategy
% 15.21/2.86 % (1598355)Time elapsed: 0.001 s
% 15.21/2.86 % (1598355)Peak memory usage: 87 MB
% 15.21/2.86 % (1598350)Instruction limit reached!
% 15.21/2.86 % (1598350)------------------------------
% 15.21/2.86 % (1598350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598350)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598350)Termination reason: Instruction limit
% 15.21/2.86 % (1598350)Termination phase: Saturation
% 15.21/2.86 % (1598350)Time elapsed: 0.094 s
% 15.21/2.86 % (1598350)Peak memory usage: 88 MB
% 15.21/2.86 % (1598350)Instructions burned: 107 (million)
% 15.21/2.86 % (1598366)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=198113689:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 15.21/2.86 % (1598355)------------------------------
% 15.21/2.86 % (1598355)------------------------------
% 15.21/2.86 % (1598371)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1646528042:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 15.21/2.86 % (1598366)Instruction limit reached!
% 15.21/2.86 % (1598366)------------------------------
% 15.21/2.86 % (1598366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598366)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598366)Termination reason: Instruction limit
% 15.21/2.86 % (1598366)Termination phase: Saturation
% 15.21/2.86 % (1598366)Time elapsed: 0.131 s
% 15.21/2.86 % (1598366)Peak memory usage: 90 MB
% 15.21/2.86 % (1598366)Instructions burned: 244 (million)
% 15.21/2.86 % (1598377)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4105025494:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 15.21/2.86 % (1598380)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=612828066:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 15.21/2.86 % (1598377)Instruction limit reached!
% 15.21/2.86 % (1598377)------------------------------
% 15.21/2.86 % (1598377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598377)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598377)Termination reason: Instruction limit
% 15.21/2.86 % (1598377)Termination phase: Saturation
% 15.21/2.86 % (1598377)Time elapsed: 0.139 s
% 15.21/2.86 % (1598377)Peak memory usage: 90 MB
% 15.21/2.86 % (1598377)Instructions burned: 135 (million)
% 15.21/2.86 % (1598380)Instruction limit reached!
% 15.21/2.86 % (1598380)------------------------------
% 15.21/2.86 % (1598380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598380)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598380)Termination reason: Instruction limit
% 15.21/2.86 % (1598380)Termination phase: Saturation
% 15.21/2.86 % (1598380)Time elapsed: 0.263 s
% 15.21/2.86 % (1598380)Peak memory usage: 94 MB
% 15.21/2.86 % (1598380)Instructions burned: 500 (million)
% 15.21/2.86 % (1598311)First to succeed.
% 15.21/2.86 % (1598311)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1598291"
% 15.21/2.86 % (1598386)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3080356529:i=191:fgj=on:bd=all_2984 on theBenchmark for (2984ds/191Mi)
% 15.21/2.86 % (1598388)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2960918301:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 15.21/2.86 % (1598386)Instruction limit reached!
% 15.21/2.86 % (1598386)------------------------------
% 15.21/2.86 % (1598386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598386)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598386)Termination reason: Instruction limit
% 15.21/2.86 % (1598386)Termination phase: Saturation
% 15.21/2.86 % (1598386)Time elapsed: 0.168 s
% 15.21/2.86 % (1598386)Peak memory usage: 93 MB
% 15.21/2.86 % (1598386)Instructions burned: 191 (million)
% 15.21/2.86 % (1598388)Instruction limit reached!
% 15.21/2.86 % (1598388)------------------------------
% 15.21/2.86 % (1598388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/2.86 % (1598388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.86 % (1598388)CaDiCaL version: 2.1.3
% 15.21/2.86 % (1598388)Termination reason: Instruction limit
% 15.21/2.86 % (1598388)Termination phase: Saturation
% 15.21/2.86 % (1598388)Time elapsed: 0.134 s
% 15.21/2.86 % (1598388)Peak memory usage: 91 MB
% 15.21/2.86 % (1598388)Instructions burned: 264 (million)
% 15.21/2.86 % (1598311)Refutation found. Thanks to Tanya!
% 15.21/2.86 % SZS status Unsatisfiable for theBenchmark
% 15.21/2.86 % SZS output start Proof for theBenchmark
% See solution above
% 16.10/3.11 % (1598311)------------------------------
% 16.10/3.11 % (1598311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.11 % (1598311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.11 % (1598311)CaDiCaL version: 2.1.3
% 16.10/3.11 % (1598311)Termination reason: Refutation
% 16.10/3.11 % (1598311)Time elapsed: 1.614 s
% 16.10/3.11 % (1598311)Peak memory usage: 135 MB
% 16.10/3.11 % (1598311)Instructions burned: 1802 (million)
% 16.10/3.11 % (1598311)------------------------------
% 16.10/3.11 % (1598311)------------------------------
% 16.10/3.11 % (1598291)Success in time 2.223 s
% 16.10/3.11 % Vampire exiting
%------------------------------------------------------------------------------