%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL308-3 : 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 : n013.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 11:51:56 AM UTC 2026
% Result : Unsatisfiable 12.36s 2.63s
% Output : Refutation 13.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 37
% Syntax : Number of formulae : 239 ( 117 unt; 26 def)
% Number of atoms : 402 ( 42 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 321 ( 158 ~; 156 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-2 aty)
% Number of variables : 169 ( 0 sgn 169 !; 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(and(implies(q,p),implies(r,p)),implies(or(q,r),p))),
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(not(or(not(or(not(q),p)),not(or(not(r),p))))),or(not(or(q,r)),p))),not(or(not(or(not(or(q,r)),p)),not(or(not(or(not(q),p)),not(or(not(r),p))))))))),
inference(definition_unfolding,[],[f11,f12,f9,f6,f6,f6]) ).
fof(f20,definition,
sF0 = not(q),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(q) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = or(sF0,p),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(sF0,p) = 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(r),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
not(r) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = or(sF3,p),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
or(sF3,p) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = or(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
or(sF2,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(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = or(q,r),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(q,r) = 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(sF10,p),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
or(sF10,p) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = or(sF8,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
or(sF8,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,sF7),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f51,plain,
or(sF14,sF7) = 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,f35,f33,f31,f29,f27,f25,f23,f21,f49,f43,f41,f39,f47,f45,f43,f41,f39,f37,f35,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(f72,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f77,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f59]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f72]) ).
fof(f86,plain,
! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0)
| ~ theorem(sF15) ),
inference(superposition,[],[f18,f53]) ).
fof(f88,definition,
( spl19_1
<=> theorem(sF15) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f90,plain,
( ~ theorem(sF15)
| spl19_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl19_2
<=> ! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f93,plain,
( ! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0) )
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( ~ spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f86,f92,f88]) ).
fof(f151,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f78,f59]) ).
fof(f201,plain,
! [X0] : theorem(or(not(or(not(r),X0)),or(not(sF9),or(q,X0)))),
inference(superposition,[],[f59,f39]) ).
fof(f206,plain,
! [X0] : theorem(or(not(or(not(r),X0)),or(sF10,or(q,X0)))),
inference(forward_demodulation,[],[f201,f41]) ).
fof(f208,plain,
! [X0] : theorem(or(not(or(sF3,X0)),or(sF10,or(q,X0)))),
inference(forward_demodulation,[],[f206,f27]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f77,f18]) ).
fof(f310,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f280,f72]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f280,f77]) ).
fof(f316,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f280,f35]) ).
fof(f319,plain,
! [X0,X1] :
( ~ theorem(or(sF14,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF11)) ),
inference(superposition,[],[f280,f49]) ).
fof(f320,plain,
! [X0,X1] :
( ~ theorem(or(sF13,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF12)) ),
inference(superposition,[],[f280,f47]) ).
fof(f321,plain,
! [X0,X1] :
( ~ theorem(or(sF16,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF15)) ),
inference(superposition,[],[f280,f53]) ).
fof(f323,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f348,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f323,f280]) ).
fof(f349,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f323,f18]) ).
fof(f352,plain,
theorem(or(not(sF1),or(p,sF0))),
inference(superposition,[],[f323,f23]) ).
fof(f355,plain,
theorem(or(not(sF6),or(sF5,sF2))),
inference(superposition,[],[f323,f33]) ).
fof(f356,plain,
theorem(or(not(sF15),or(sF7,sF14))),
inference(superposition,[],[f323,f51]) ).
fof(f358,plain,
theorem(or(not(sF17),or(sF16,sF13))),
inference(superposition,[],[f323,f55]) ).
fof(f367,plain,
theorem(or(sF18,or(sF16,sF13))),
inference(forward_demodulation,[],[f358,f57]) ).
fof(f369,plain,
theorem(or(sF16,or(sF7,sF14))),
inference(forward_demodulation,[],[f356,f53]) ).
fof(f370,plain,
theorem(or(sF7,or(sF5,sF2))),
inference(forward_demodulation,[],[f355,f35]) ).
fof(f373,plain,
theorem(or(sF2,or(p,sF0))),
inference(forward_demodulation,[],[f352,f25]) ).
fof(f399,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f422,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f399,f280]) ).
fof(f424,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f399,f348]) ).
fof(f438,plain,
theorem(or(not(p),sF11)),
inference(superposition,[],[f399,f43]) ).
fof(f441,plain,
theorem(or(not(r),sF9)),
inference(superposition,[],[f399,f39]) ).
fof(f442,plain,
theorem(or(not(sF5),sF6)),
inference(superposition,[],[f399,f33]) ).
fof(f444,plain,
theorem(or(not(sF11),sF12)),
inference(superposition,[],[f399,f45]) ).
fof(f446,plain,
theorem(or(sF14,sF12)),
inference(forward_demodulation,[],[f444,f49]) ).
fof(f448,plain,
theorem(or(sF3,sF9)),
inference(forward_demodulation,[],[f441,f27]) ).
fof(f449,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f450,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f449,f280]) ).
fof(f451,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f449,f18]) ).
fof(f458,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f450,f399]) ).
fof(f461,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,[],[f311,f72]) ).
fof(f463,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f311,f323]) ).
fof(f479,plain,
theorem(or(sF16,or(sF18,sF13))),
inference(resolution,[],[f367,f78]) ).
fof(f487,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f310,f323]) ).
fof(f499,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f151,f18]) ).
fof(f557,plain,
! [X0,X1] :
( theorem(or(not(or(sF10,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF9)) ),
inference(superposition,[],[f499,f41]) ).
fof(f559,plain,
! [X0,X1] :
( theorem(or(not(or(sF13,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF12)) ),
inference(superposition,[],[f499,f47]) ).
fof(f584,plain,
! [X0] :
( ~ theorem(or(X0,sF11))
| theorem(or(X0,sF12)) ),
inference(superposition,[],[f422,f45]) ).
fof(f587,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f461,f18]) ).
fof(f611,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f463,f18]) ).
fof(f615,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f463,f450]) ).
fof(f644,plain,
theorem(or(sF16,or(sF13,sF18))),
inference(resolution,[],[f479,f348]) ).
fof(f658,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f458,f349]) ).
fof(f668,plain,
theorem(or(sF16,sF15)),
inference(superposition,[],[f458,f53]) ).
fof(f692,plain,
theorem(or(not(q),sF9)),
inference(superposition,[],[f424,f39]) ).
fof(f693,plain,
theorem(or(not(sF2),sF6)),
inference(superposition,[],[f424,f33]) ).
fof(f694,plain,
theorem(or(not(sF14),sF15)),
inference(superposition,[],[f424,f51]) ).
fof(f695,plain,
theorem(or(not(sF8),sF12)),
inference(superposition,[],[f424,f45]) ).
fof(f697,plain,
theorem(or(sF0,sF9)),
inference(forward_demodulation,[],[f692,f21]) ).
fof(f726,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f587,f449]) ).
fof(f730,plain,
! [X0,X1] :
( ~ theorem(or(not(sF1),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF0,or(X1,p))) ),
inference(superposition,[],[f587,f23]) ).
fof(f731,plain,
! [X0,X1] :
( ~ theorem(or(not(sF4),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF3,or(X1,p))) ),
inference(superposition,[],[f587,f29]) ).
fof(f734,plain,
! [X0,X1] :
( ~ theorem(or(not(sF15),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF14,or(X1,sF7))) ),
inference(superposition,[],[f587,f51]) ).
fof(f739,plain,
! [X0,X1] :
( ~ theorem(or(sF14,or(X1,sF7)))
| theorem(or(X1,X0))
| ~ theorem(or(sF16,X0)) ),
inference(forward_demodulation,[],[f734,f53]) ).
fof(f742,plain,
! [X0,X1] :
( ~ theorem(or(sF3,or(X1,p)))
| theorem(or(X1,X0))
| ~ theorem(or(sF5,X0)) ),
inference(forward_demodulation,[],[f731,f31]) ).
fof(f743,plain,
! [X0,X1] :
( ~ theorem(or(sF0,or(X1,p)))
| theorem(or(X1,X0))
| ~ theorem(or(sF2,X0)) ),
inference(forward_demodulation,[],[f730,f25]) ).
fof(f748,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f615,f587]) ).
fof(f776,definition,
( spl19_26
<=> theorem(or(sF18,sF16)) ),
introduced(definition,[new_symbols(definition,[spl19_26])],[avatar_definition]) ).
fof(f777,plain,
( ~ theorem(or(sF18,sF16))
| spl19_26 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f778,plain,
( theorem(or(sF18,sF16))
| ~ spl19_26 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f848,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f658,f316]) ).
fof(f860,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f848,f37]) ).
fof(f869,plain,
theorem(or(not(sF4),or(sF10,or(q,p)))),
inference(superposition,[],[f208,f29]) ).
fof(f871,plain,
theorem(or(sF5,or(sF10,or(q,p)))),
inference(forward_demodulation,[],[f869,f31]) ).
fof(f879,plain,
! [X0] :
( theorem(or(X0,or(sF13,sF18)))
| ~ theorem(or(X0,sF15)) ),
inference(resolution,[],[f321,f644]) ).
fof(f912,plain,
theorem(or(sF5,or(sF7,sF2))),
inference(resolution,[],[f370,f78]) ).
fof(f965,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f611,f424]) ).
fof(f1049,plain,
theorem(or(sF5,or(sF2,sF7))),
inference(resolution,[],[f912,f348]) ).
fof(f1165,definition,
( spl19_59
<=> theorem(or(sF13,sF18)) ),
introduced(definition,[new_symbols(definition,[spl19_59])],[avatar_definition]) ).
fof(f1166,plain,
( ~ theorem(or(sF13,sF18))
| spl19_59 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1167,plain,
( theorem(or(sF13,sF18))
| ~ spl19_59 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1337,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f487,f18]) ).
fof(f1750,plain,
theorem(or(not(p),sF12)),
inference(resolution,[],[f584,f438]) ).
fof(f2086,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f965,f451]) ).
fof(f2377,plain,
! [X0] :
( theorem(or(not(sF17),or(X0,sF16)))
| ~ theorem(or(X0,sF12)) ),
inference(superposition,[],[f559,f55]) ).
fof(f2441,plain,
! [X0] :
( theorem(or(sF18,or(X0,sF16)))
| ~ theorem(or(X0,sF12)) ),
inference(forward_demodulation,[],[f2377,f57]) ).
fof(f2446,plain,
! [X0] :
( theorem(or(X0,or(sF18,sF16)))
| ~ theorem(or(X0,sF12)) ),
inference(resolution,[],[f2441,f78]) ).
fof(f2476,plain,
! [X0] :
( ~ theorem(or(sF14,sF12))
| theorem(or(X0,or(sF18,sF16)))
| ~ theorem(or(X0,sF11)) ),
inference(resolution,[],[f2446,f319]) ).
fof(f2479,plain,
! [X0] :
( theorem(or(X0,or(sF18,sF16)))
| ~ theorem(or(X0,sF11)) ),
inference(forward_subsumption_resolution,[],[f2476,f446]) ).
fof(f2520,plain,
( theorem(or(sF16,sF18))
| ~ spl19_26 ),
inference(resolution,[],[f778,f349]) ).
fof(f2521,plain,
( ! [X0] :
( ~ theorem(or(X0,sF15))
| theorem(or(X0,sF18)) )
| ~ spl19_26 ),
inference(resolution,[],[f2520,f321]) ).
fof(f2523,plain,
( theorem(or(not(sF14),sF18))
| ~ spl19_26 ),
inference(resolution,[],[f2521,f694]) ).
fof(f2539,plain,
( ! [X0] :
( ~ theorem(or(sF14,X0))
| theorem(or(X0,sF18)) )
| ~ spl19_26 ),
inference(resolution,[],[f2523,f611]) ).
fof(f2601,definition,
( spl19_181
<=> theorem(or(sF18,sF11)) ),
introduced(definition,[new_symbols(definition,[spl19_181])],[avatar_definition]) ).
fof(f2602,plain,
( theorem(or(sF18,sF11))
| ~ spl19_181 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f2603,plain,
( ~ theorem(or(sF18,sF11))
| spl19_181 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f2662,plain,
! [X0] :
( theorem(or(not(sF11),or(X0,p)))
| ~ theorem(or(X0,sF9)) ),
inference(superposition,[],[f557,f43]) ).
fof(f2718,plain,
! [X0] :
( theorem(or(sF14,or(X0,p)))
| ~ theorem(or(X0,sF9)) ),
inference(forward_demodulation,[],[f2662,f49]) ).
fof(f2750,plain,
! [X0] :
( theorem(or(X0,or(sF14,p)))
| ~ theorem(or(X0,sF9)) ),
inference(resolution,[],[f2718,f78]) ).
fof(f2773,plain,
! [X0] :
( ~ theorem(or(sF0,sF9))
| theorem(or(sF14,X0))
| ~ theorem(or(sF2,X0)) ),
inference(resolution,[],[f2750,f743]) ).
fof(f2776,plain,
! [X0] :
( ~ theorem(or(sF3,sF9))
| theorem(or(sF14,X0))
| ~ theorem(or(sF5,X0)) ),
inference(resolution,[],[f2750,f742]) ).
fof(f2822,plain,
! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(or(sF14,X0)) ),
inference(forward_subsumption_resolution,[],[f2776,f448]) ).
fof(f2824,plain,
! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(sF14,X0)) ),
inference(forward_subsumption_resolution,[],[f2773,f697]) ).
fof(f2855,plain,
theorem(or(sF14,or(sF2,sF7))),
inference(resolution,[],[f2822,f1049]) ).
fof(f2878,plain,
! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(or(sF2,X0)) ),
inference(resolution,[],[f2855,f739]) ).
fof(f2920,plain,
theorem(or(sF2,or(sF7,sF14))),
inference(resolution,[],[f2878,f369]) ).
fof(f2924,plain,
( theorem(or(sF2,sF18))
| ~ spl19_26 ),
inference(resolution,[],[f2878,f2520]) ).
fof(f2945,plain,
( theorem(or(sF14,sF18))
| ~ spl19_26 ),
inference(resolution,[],[f2924,f2824]) ).
fof(f2948,plain,
( theorem(or(sF18,sF18))
| ~ spl19_26 ),
inference(resolution,[],[f2945,f2539]) ).
fof(f2953,plain,
( theorem(sF18)
| ~ spl19_26 ),
inference(resolution,[],[f2948,f451]) ).
fof(f2955,plain,
( $false
| ~ spl19_26 ),
inference(forward_subsumption_resolution,[],[f2953,f58]) ).
fof(f2956,plain,
~ spl19_26,
inference(avatar_contradiction_clause,[],[f2955]) ).
fof(f2964,plain,
theorem(or(sF14,or(sF7,sF14))),
inference(resolution,[],[f2920,f2824]) ).
fof(f2983,plain,
theorem(or(sF7,sF14)),
inference(resolution,[],[f2964,f726]) ).
fof(f2993,plain,
theorem(or(sF14,sF7)),
inference(resolution,[],[f2983,f349]) ).
fof(f2994,plain,
theorem(sF15),
inference(forward_demodulation,[],[f2993,f51]) ).
fof(f2995,plain,
( $false
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f2994,f90]) ).
fof(f2996,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f2995]) ).
fof(f3010,plain,
( theorem(or(sF13,sF18))
| ~ theorem(or(sF16,sF15))
| ~ spl19_2 ),
inference(resolution,[],[f93,f879]) ).
fof(f3016,plain,
( ~ theorem(or(sF16,sF15))
| ~ spl19_2
| spl19_59 ),
inference(forward_subsumption_resolution,[],[f3010,f1166]) ).
fof(f3020,plain,
( $false
| ~ spl19_2
| spl19_59 ),
inference(forward_subsumption_resolution,[],[f3016,f668]) ).
fof(f3021,plain,
( ~ spl19_2
| spl19_59 ),
inference(avatar_contradiction_clause,[],[f3020]) ).
fof(f3026,plain,
( ! [X0] :
( ~ theorem(or(X0,sF12))
| theorem(or(X0,sF18)) )
| ~ spl19_59 ),
inference(resolution,[],[f1167,f320]) ).
fof(f3028,plain,
( theorem(or(not(sF8),sF18))
| ~ spl19_59 ),
inference(resolution,[],[f3026,f695]) ).
fof(f3029,plain,
( theorem(or(not(p),sF18))
| ~ spl19_59 ),
inference(resolution,[],[f3026,f1750]) ).
fof(f3082,plain,
( ! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF18)) )
| ~ spl19_59 ),
inference(resolution,[],[f3028,f280]) ).
fof(f3594,plain,
theorem(or(sF5,or(q,or(sF10,p)))),
inference(resolution,[],[f871,f310]) ).
fof(f3599,plain,
theorem(or(sF5,or(q,sF11))),
inference(forward_demodulation,[],[f3594,f43]) ).
fof(f3603,plain,
theorem(or(sF5,or(sF11,q))),
inference(resolution,[],[f3599,f348]) ).
fof(f4114,plain,
theorem(or(not(sF2),sF8)),
inference(resolution,[],[f860,f693]) ).
fof(f4115,plain,
theorem(or(not(sF5),sF8)),
inference(resolution,[],[f860,f442]) ).
fof(f4123,plain,
( theorem(or(not(sF5),sF18))
| ~ spl19_59 ),
inference(resolution,[],[f4115,f3082]) ).
fof(f4128,plain,
( theorem(or(not(sF2),sF18))
| ~ spl19_59 ),
inference(resolution,[],[f4114,f3082]) ).
fof(f4130,plain,
( ! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(or(X0,sF18)) )
| ~ spl19_59 ),
inference(resolution,[],[f4123,f611]) ).
fof(f4153,plain,
( ! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(X0,sF18)) )
| ~ spl19_59 ),
inference(resolution,[],[f4128,f611]) ).
fof(f4168,plain,
( theorem(or(or(sF11,q),sF18))
| ~ spl19_59 ),
inference(resolution,[],[f4130,f3603]) ).
fof(f4195,plain,
( theorem(or(or(p,sF0),sF18))
| ~ spl19_59 ),
inference(resolution,[],[f4153,f373]) ).
fof(f4235,plain,
( theorem(or(sF18,or(sF11,q)))
| ~ spl19_59 ),
inference(resolution,[],[f4168,f349]) ).
fof(f4566,plain,
( theorem(or(sF18,sF16))
| ~ theorem(or(sF18,sF11)) ),
inference(resolution,[],[f2086,f2479]) ).
fof(f5542,plain,
( theorem(or(sF11,or(sF18,q)))
| ~ spl19_59 ),
inference(resolution,[],[f4235,f78]) ).
fof(f5552,plain,
( theorem(or(sF11,or(q,sF18)))
| ~ spl19_59 ),
inference(resolution,[],[f5542,f348]) ).
fof(f5560,plain,
( theorem(or(q,or(sF11,sF18)))
| ~ spl19_59 ),
inference(resolution,[],[f5552,f78]) ).
fof(f5567,plain,
( theorem(or(sF11,sF18))
| ~ theorem(or(not(q),sF18))
| ~ spl19_59 ),
inference(resolution,[],[f5560,f748]) ).
fof(f5572,plain,
( ~ theorem(or(sF0,sF18))
| theorem(or(sF11,sF18))
| ~ spl19_59 ),
inference(forward_demodulation,[],[f5567,f21]) ).
fof(f5574,definition,
( spl19_336
<=> theorem(or(sF11,sF18)) ),
introduced(definition,[new_symbols(definition,[spl19_336])],[avatar_definition]) ).
fof(f5576,plain,
( theorem(or(sF11,sF18))
| ~ spl19_336 ),
inference(avatar_component_clause,[],[f5574]) ).
fof(f5578,definition,
( spl19_337
<=> theorem(or(sF0,sF18)) ),
introduced(definition,[new_symbols(definition,[spl19_337])],[avatar_definition]) ).
fof(f5580,plain,
( ~ theorem(or(sF0,sF18))
| spl19_337 ),
inference(avatar_component_clause,[],[f5578]) ).
fof(f5581,plain,
( spl19_336
| ~ spl19_337
| ~ spl19_59 ),
inference(avatar_split_clause,[],[f5572,f1165,f5578,f5574]) ).
fof(f5624,plain,
( theorem(or(p,or(sF18,sF0)))
| ~ spl19_59 ),
inference(resolution,[],[f1337,f4195]) ).
fof(f5758,plain,
( theorem(or(p,or(sF0,sF18)))
| ~ spl19_59 ),
inference(resolution,[],[f5624,f348]) ).
fof(f5762,plain,
( theorem(or(sF0,sF18))
| ~ theorem(or(not(p),sF18))
| ~ spl19_59 ),
inference(resolution,[],[f5758,f748]) ).
fof(f5767,plain,
( ~ theorem(or(not(p),sF18))
| ~ spl19_59
| spl19_337 ),
inference(forward_subsumption_resolution,[],[f5762,f5580]) ).
fof(f5768,plain,
( $false
| ~ spl19_59
| spl19_337 ),
inference(forward_subsumption_resolution,[],[f5767,f3029]) ).
fof(f5769,plain,
( ~ spl19_59
| spl19_337 ),
inference(avatar_contradiction_clause,[],[f5768]) ).
fof(f5772,plain,
( theorem(or(sF18,sF11))
| ~ spl19_336 ),
inference(resolution,[],[f5576,f349]) ).
fof(f5773,plain,
( $false
| spl19_181
| ~ spl19_336 ),
inference(forward_subsumption_resolution,[],[f5772,f2603]) ).
fof(f5774,plain,
( spl19_181
| ~ spl19_336 ),
inference(avatar_contradiction_clause,[],[f5773]) ).
fof(f5777,plain,
( ~ theorem(or(sF18,sF11))
| spl19_26 ),
inference(forward_subsumption_resolution,[],[f4566,f777]) ).
fof(f5779,plain,
( $false
| spl19_26
| ~ spl19_181 ),
inference(forward_subsumption_resolution,[],[f5777,f2602]) ).
fof(f5780,plain,
( spl19_26
| ~ spl19_181 ),
inference(avatar_contradiction_clause,[],[f5779]) ).
cnf(s1,plain,
( ~ spl19_1
| spl19_2 ),
inference(sat_conversion,[],[f94]) ).
cnf(s135,plain,
~ spl19_26,
inference(sat_conversion,[],[f2956]) ).
cnf(s137,plain,
spl19_1,
inference(sat_conversion,[],[f2996]) ).
cnf(s139,plain,
( ~ spl19_2
| spl19_59 ),
inference(sat_conversion,[],[f3021]) ).
cnf(s250,plain,
( ~ spl19_59
| spl19_336
| ~ spl19_337 ),
inference(sat_conversion,[],[f5581]) ).
cnf(s252,plain,
( ~ spl19_59
| spl19_337 ),
inference(sat_conversion,[],[f5769]) ).
cnf(s253,plain,
( spl19_181
| ~ spl19_336 ),
inference(sat_conversion,[],[f5774]) ).
cnf(s255,plain,
( spl19_26
| ~ spl19_181 ),
inference(sat_conversion,[],[f5780]) ).
cnf(s260,plain,
~ spl19_181,
inference(rat,[],[s255,s135]) ).
cnf(s261,plain,
~ spl19_336,
inference(rat,[],[s253,s260]) ).
cnf(s274,plain,
spl19_2,
inference(rat,[],[s1,s137]) ).
cnf(s275,plain,
spl19_59,
inference(rat,[],[s139,s274]) ).
cnf(s276,plain,
spl19_337,
inference(rat,[],[s252,s275]) ).
cnf(s277,plain,
$false,
inference(rat,[],[s250,s261,s276,s275]) ).
fof(f5781,plain,
$false,
inference(avatar_sat_refutation,[],[s277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL308-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 15:33:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 10.54/2.36 % (358761)Input is clausal, will run a generic CNF schedule.
% 10.54/2.36 % (358772)dis-21_1_sil=8000:lcm=predicate:random_seed=2467038129: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)
% 10.54/2.36 % (358770)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1622244115:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.54/2.36 % (358766)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=4066914823:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.54/2.36 % (358768)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2158795197:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.54/2.36 % (358771)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=446508995:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.54/2.36 % (358767)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3070498386:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.54/2.36 % (358769)lrs+10_1_sil=8000:sp=occurrence:random_seed=3596906455:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.54/2.36 % (358772)Instruction limit reached!
% 10.54/2.36 % (358772)------------------------------
% 10.54/2.36 % (358772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (358772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (358772)CaDiCaL version: 2.1.3
% 10.54/2.36 % (358772)Termination reason: Instruction limit
% 10.54/2.36 % (358772)Termination phase: Saturation
% 10.54/2.36 % (358772)Time elapsed: 0.030 s
% 10.54/2.36 % (358772)Peak memory usage: 87 MB
% 10.54/2.36 % (358772)Instructions burned: 118 (million)
% 10.54/2.36 % (358769)Instruction limit reached!
% 10.54/2.36 % (358769)------------------------------
% 10.54/2.36 % (358769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (358769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (358769)CaDiCaL version: 2.1.3
% 10.54/2.36 % (358769)Termination reason: Instruction limit
% 10.54/2.36 % (358769)Termination phase: Saturation
% 10.54/2.36 % (358769)Time elapsed: 0.071 s
% 10.54/2.36 % (358769)Peak memory usage: 89 MB
% 10.54/2.36 % (358769)Instructions burned: 108 (million)
% 10.54/2.36 % (358770)Instruction limit reached!
% 10.54/2.36 % (358770)------------------------------
% 10.54/2.36 % (358770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (358770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (358770)CaDiCaL version: 2.1.3
% 10.54/2.36 % (358770)Termination reason: Instruction limit
% 10.54/2.36 % (358770)Termination phase: Saturation
% 10.54/2.36 % (358770)Time elapsed: 0.072 s
% 10.54/2.36 % (358770)Peak memory usage: 89 MB
% 10.54/2.36 % (358770)Instructions burned: 115 (million)
% 10.54/2.36 % (358771)Instruction limit reached!
% 10.54/2.36 % (358771)------------------------------
% 10.54/2.36 % (358771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (358771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (358771)CaDiCaL version: 2.1.3
% 10.54/2.36 % (358771)Termination reason: Instruction limit
% 10.54/2.36 % (358771)Termination phase: Saturation
% 10.54/2.36 % (358771)Time elapsed: 0.112 s
% 10.54/2.36 % (358771)Peak memory usage: 89 MB
% 10.54/2.36 % (358771)Instructions burned: 181 (million)
% 10.54/2.36 % (358780)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=2616469383:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.54/2.36 % (358780)Refutation not found, incomplete strategy
% 10.54/2.36 % (358780)------------------------------
% 10.54/2.36 % (358780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (358780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (358780)CaDiCaL version: 2.1.3
% 10.54/2.36 % (358780)Termination reason: Refutation not found, incomplete strategy
% 10.54/2.36 % (358780)Time elapsed: 0.001 s
% 10.54/2.36 % (358780)Peak memory usage: 88 MB
% 10.54/2.36 % (358782)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2500946926:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.36/2.63 % (358781)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3163053258: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)
% 12.36/2.63 % (358781)Refutation not found, incomplete strategy
% 12.36/2.63 % (358781)------------------------------
% 12.36/2.63 % (358781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358781)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358781)Termination reason: Refutation not found, incomplete strategy
% 12.36/2.63 % (358781)Time elapsed: 0.001 s
% 12.36/2.63 % (358781)Peak memory usage: 87 MB
% 12.36/2.63 % (358782)Refutation not found, incomplete strategy
% 12.36/2.63 % (358782)------------------------------
% 12.36/2.63 % (358782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358782)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358782)Termination reason: Refutation not found, incomplete strategy
% 12.36/2.63 % (358782)Time elapsed: 0.001 s
% 12.36/2.63 % (358782)Peak memory usage: 87 MB
% 12.36/2.63 % (358782)Instructions burned: 1 (million)
% 12.36/2.63 % (358780)------------------------------
% 12.36/2.63 % (358780)------------------------------
% 12.36/2.63 % (358783)lrs+10_64_to=lpo:sil=8000:random_seed=1211990494:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 12.36/2.63 % (358783)Instruction limit reached!
% 12.36/2.63 % (358783)------------------------------
% 12.36/2.63 % (358783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358783)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358783)Termination reason: Instruction limit
% 12.36/2.63 % (358783)Termination phase: Saturation
% 12.36/2.63 % (358783)Time elapsed: 0.074 s
% 12.36/2.63 % (358783)Peak memory usage: 89 MB
% 12.36/2.63 % (358783)Instructions burned: 127 (million)
% 12.36/2.63 % (358788)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2675260926:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.36/2.63 % (358781)------------------------------
% 12.36/2.63 % (358781)------------------------------
% 12.36/2.63 % (358782)------------------------------
% 12.36/2.63 % (358782)------------------------------
% 12.36/2.63 % (358788)Instruction limit reached!
% 12.36/2.63 % (358788)------------------------------
% 12.36/2.63 % (358788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358788)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358788)Termination reason: Instruction limit
% 12.36/2.63 % (358788)Termination phase: Saturation
% 12.36/2.63 % (358788)Time elapsed: 0.066 s
% 12.36/2.63 % (358788)Peak memory usage: 89 MB
% 12.36/2.63 % (358788)Instructions burned: 194 (million)
% 12.36/2.63 % (358789)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=919736587:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.36/2.63 % (358793)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=869655033:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 12.36/2.63 % (358793)Refutation not found, incomplete strategy
% 12.36/2.63 % (358793)------------------------------
% 12.36/2.63 % (358793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358793)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358793)Termination reason: Refutation not found, incomplete strategy
% 12.36/2.63 % (358793)Time elapsed: 0.0000 s
% 12.36/2.63 % (358793)Peak memory usage: 87 MB
% 12.36/2.63 % (358791)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2975937506:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 12.36/2.63 % (358792)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=1756097125:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 12.36/2.63 % (358789)Instruction limit reached!
% 12.36/2.63 % (358789)------------------------------
% 12.36/2.63 % (358789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358789)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358789)Termination reason: Instruction limit
% 12.36/2.63 % (358789)Termination phase: Saturation
% 12.36/2.63 % (358789)Time elapsed: 0.100 s
% 12.36/2.63 % (358789)Peak memory usage: 91 MB
% 12.36/2.63 % (358789)Instructions burned: 158 (million)
% 12.36/2.63 % (358792)Instruction limit reached!
% 12.36/2.63 % (358792)------------------------------
% 12.36/2.63 % (358792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358792)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358792)Termination reason: Instruction limit
% 12.36/2.63 % (358792)Termination phase: Saturation
% 12.36/2.63 % (358792)Time elapsed: 0.056 s
% 12.36/2.63 % (358792)Peak memory usage: 89 MB
% 12.36/2.63 % (358792)Instructions burned: 107 (million)
% 12.36/2.63 % (358793)------------------------------
% 12.36/2.63 % (358793)------------------------------
% 12.36/2.63 % (358798)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3472119254:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 12.36/2.63 % (358799)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1586511741:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 12.36/2.63 % (358800)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=437077384:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 12.36/2.63 % (358798)Instruction limit reached!
% 12.36/2.63 % (358798)------------------------------
% 12.36/2.63 % (358798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358798)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358798)Termination reason: Instruction limit
% 12.36/2.63 % (358798)Termination phase: Saturation
% 12.36/2.63 % (358798)Time elapsed: 0.156 s
% 12.36/2.63 % (358798)Peak memory usage: 90 MB
% 12.36/2.63 % (358798)Instructions burned: 243 (million)
% 12.36/2.63 % (358800)Instruction limit reached!
% 12.36/2.63 % (358800)------------------------------
% 12.36/2.63 % (358800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358800)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358800)Termination reason: Instruction limit
% 12.36/2.63 % (358800)Termination phase: Saturation
% 12.36/2.63 % (358800)Time elapsed: 0.045 s
% 12.36/2.63 % (358800)Peak memory usage: 89 MB
% 12.36/2.63 % (358800)Instructions burned: 135 (million)
% 12.36/2.63 % (358805)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2449109273:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 12.36/2.63 % (358804)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1172908284:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 12.36/2.63 % (358805)Instruction limit reached!
% 12.36/2.63 % (358805)------------------------------
% 12.36/2.63 % (358805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358805)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358805)Termination reason: Instruction limit
% 12.36/2.63 % (358805)Termination phase: Saturation
% 12.36/2.63 % (358805)Time elapsed: 0.068 s
% 12.36/2.63 % (358805)Peak memory usage: 93 MB
% 12.36/2.63 % (358805)Instructions burned: 191 (million)
% 12.36/2.63 % (358808)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=276144290:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 12.36/2.63 % (358804)Instruction limit reached!
% 12.36/2.63 % (358804)------------------------------
% 12.36/2.63 % (358804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358804)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358804)Termination reason: Instruction limit
% 12.36/2.63 % (358804)Termination phase: Saturation
% 12.36/2.63 % (358804)Time elapsed: 0.262 s
% 12.36/2.63 % (358804)Peak memory usage: 93 MB
% 12.36/2.63 % (358804)Instructions burned: 501 (million)
% 12.36/2.63 % (358766)First to succeed.
% 12.36/2.63 % (358766)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-358761"
% 12.36/2.63 % (358808)Instruction limit reached!
% 12.36/2.63 % (358808)------------------------------
% 12.36/2.63 % (358808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358808)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358808)Termination reason: Instruction limit
% 12.36/2.63 % (358808)Termination phase: Saturation
% 12.36/2.63 % (358808)Time elapsed: 0.084 s
% 12.36/2.63 % (358808)Peak memory usage: 92 MB
% 12.36/2.63 % (358808)Instructions burned: 264 (million)
% 12.36/2.63 % (358811)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=701368027:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 12.36/2.63 % (358810)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3440531142:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 12.36/2.63 % (358810)Instruction limit reached!
% 12.36/2.63 % (358810)------------------------------
% 12.36/2.63 % (358810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.36/2.63 % (358810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.36/2.63 % (358810)CaDiCaL version: 2.1.3
% 12.36/2.63 % (358810)Termination reason: Instruction limit
% 12.36/2.63 % (358810)Termination phase: Saturation
% 12.36/2.63 % (358810)Time elapsed: 0.094 s
% 12.36/2.63 % (358810)Peak memory usage: 88 MB
% 12.36/2.63 % (358810)Instructions burned: 157 (million)
% 12.36/2.63 % (358766)Refutation found. Thanks to Tanya!
% 12.36/2.63 % SZS status Unsatisfiable for theBenchmark
% 12.36/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 13.25/2.82 % (358766)------------------------------
% 13.25/2.82 % (358766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.25/2.82 % (358766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.82 % (358766)CaDiCaL version: 2.1.3
% 13.25/2.82 % (358766)Termination reason: Refutation
% 13.25/2.82 % (358766)Time elapsed: 1.348 s
% 13.25/2.82 % (358766)Peak memory usage: 137 MB
% 13.25/2.82 % (358766)Instructions burned: 2009 (million)
% 13.25/2.82 % (358766)------------------------------
% 13.25/2.82 % (358766)------------------------------
% 13.25/2.82 % (358761)Success in time 1.788 s
% 13.25/2.82 % Vampire exiting
%------------------------------------------------------------------------------