%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL351-3 : 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 : n009.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 11:52:04 AM UTC 2026
% Result : Unsatisfiable 8.79s 2.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 40
% Syntax : Number of formulae : 261 ( 116 unt; 29 def)
% Number of atoms : 448 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 367 ( 180 ~; 178 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 23 con; 0-2 aty)
% Number of variables : 202 ( 0 sgn 202 !; 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(implies(implies(q,not(r)),equivalent(and(or(p,q),r),and(p,r)))),
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(or(not(or(not(q),not(r))),not(or(not(or(not(not(or(not(or(p,q)),not(r)))),not(or(not(p),not(r))))),not(or(not(not(or(not(p),not(r)))),not(or(not(or(p,q)),not(r))))))))),
inference(definition_unfolding,[],[f11,f6,f6,f12,f9,f9]) ).
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 = not(r),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
not(r) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = or(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
or(sF0,sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = not(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
not(sF2) = 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 = 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(sF5,sF1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
or(sF5,sF1) = 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 = not(p),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
not(p) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = or(sF9,sF1),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
or(sF9,sF1) = 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(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,definition,
sF19 = or(sF3,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f59,plain,
or(sF3,sF18) = sF19,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
~ theorem(sF19),
inference(definition_folding,[],[f19,f59,f57,f55,f53,f51,f35,f33,f23,f31,f29,f49,f43,f41,f23,f39,f47,f45,f43,f41,f23,f39,f37,f35,f33,f23,f31,f29,f27,f25,f23,f21]) ).
fof(f65,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f66,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f7,f16]) ).
fof(f70,plain,
! [X0] : theorem(or(not(or(sF3,or(X0,sF18))),or(X0,sF19))),
inference(superposition,[],[f66,f59]) ).
fof(f93,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f98,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f65]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f66]) ).
fof(f100,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f18,f93]) ).
fof(f110,plain,
! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0)
| ~ theorem(sF15) ),
inference(superposition,[],[f18,f53]) ).
fof(f121,definition,
( spl20_3
<=> theorem(sF15) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f123,plain,
( ~ theorem(sF15)
| spl20_3 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl20_4
<=> ! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f126,plain,
( ! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(X0) )
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( ~ spl20_3
| spl20_4 ),
inference(avatar_split_clause,[],[f110,f125,f121]) ).
fof(f200,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f99,f65]) ).
fof(f202,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f99,f93]) ).
fof(f203,plain,
! [X0] :
( theorem(or(sF3,or(X0,sF18)))
| ~ theorem(or(X0,sF19)) ),
inference(superposition,[],[f99,f59]) ).
fof(f210,plain,
! [X0] : theorem(or(not(or(not(q),X0)),or(not(sF4),or(p,X0)))),
inference(superposition,[],[f65,f29]) ).
fof(f218,plain,
! [X0] : theorem(or(not(or(not(q),X0)),or(sF5,or(p,X0)))),
inference(forward_demodulation,[],[f210,f31]) ).
fof(f221,plain,
! [X0] : theorem(or(not(or(sF0,X0)),or(sF5,or(p,X0)))),
inference(forward_demodulation,[],[f218,f21]) ).
fof(f248,plain,
! [X0] : theorem(or(not(or(sF5,or(X0,sF1))),or(X0,sF6))),
inference(superposition,[],[f66,f33]) ).
fof(f286,plain,
theorem(or(not(sF10),or(sF1,sF9))),
inference(superposition,[],[f93,f41]) ).
fof(f289,plain,
theorem(or(sF11,or(sF1,sF9))),
inference(forward_demodulation,[],[f286,f43]) ).
fof(f304,plain,
theorem(or(not(sF17),or(sF16,sF13))),
inference(superposition,[],[f93,f55]) ).
fof(f307,plain,
theorem(or(sF18,or(sF16,sF13))),
inference(forward_demodulation,[],[f304,f57]) ).
fof(f311,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f375,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f377,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f311,f99]) ).
fof(f391,plain,
theorem(or(not(q),sF4)),
inference(superposition,[],[f311,f29]) ).
fof(f393,plain,
theorem(or(not(sF18),sF19)),
inference(superposition,[],[f311,f59]) ).
fof(f394,plain,
theorem(or(not(sF1),sF6)),
inference(superposition,[],[f311,f33]) ).
fof(f401,plain,
theorem(or(sF0,sF4)),
inference(forward_demodulation,[],[f391,f21]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f98,f18]) ).
fof(f415,plain,
! [X0] :
( theorem(or(not(or(sF3,X0)),sF19))
| ~ theorem(or(not(X0),sF18)) ),
inference(superposition,[],[f98,f59]) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f402,f66]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f402,f93]) ).
fof(f434,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f402,f98]) ).
fof(f435,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f402,f311]) ).
fof(f441,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f402,f35]) ).
fof(f445,plain,
! [X0,X1] :
( ~ theorem(or(sF13,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF12)) ),
inference(superposition,[],[f402,f47]) ).
fof(f452,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f433,f311]) ).
fof(f461,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f375,f402]) ).
fof(f462,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f375,f18]) ).
fof(f469,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f461,f311]) ).
fof(f472,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f200,f18]) ).
fof(f514,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X1),X3)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f472,f402]) ).
fof(f524,plain,
! [X0,X1] :
( theorem(or(not(or(sF5,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF4)) ),
inference(superposition,[],[f472,f31]) ).
fof(f529,plain,
! [X0,X1] :
( theorem(or(not(or(sF13,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF12)) ),
inference(superposition,[],[f472,f47]) ).
fof(f540,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f434,f93]) ).
fof(f544,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,[],[f434,f66]) ).
fof(f562,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f435,f433]) ).
fof(f575,plain,
! [X0] :
( ~ theorem(or(sF3,or(X0,sF18)))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f70,f18]) ).
fof(f591,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f469,f100]) ).
fof(f598,plain,
theorem(or(sF8,sF7)),
inference(superposition,[],[f469,f37]) ).
fof(f601,plain,
theorem(or(sF13,sF12)),
inference(superposition,[],[f469,f47]) ).
fof(f607,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f432,f93]) ).
fof(f623,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f540,f18]) ).
fof(f627,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f540,f461]) ).
fof(f670,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f544,f18]) ).
fof(f697,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f562,f99]) ).
fof(f701,plain,
! [X0] :
( ~ theorem(or(sF3,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f562,f575]) ).
fof(f741,plain,
theorem(or(not(sF2),or(sF5,or(p,sF1)))),
inference(superposition,[],[f221,f25]) ).
fof(f743,plain,
theorem(or(sF3,or(sF5,or(p,sF1)))),
inference(forward_demodulation,[],[f741,f27]) ).
fof(f769,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f441,f591]) ).
fof(f770,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f769,f37]) ).
fof(f817,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f627,f402]) ).
fof(f932,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f623,f591]) ).
fof(f1002,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f452,f99]) ).
fof(f1018,plain,
theorem(or(not(p),sF4)),
inference(superposition,[],[f452,f29]) ).
fof(f1022,plain,
theorem(or(not(sF8),sF12)),
inference(superposition,[],[f452,f45]) ).
fof(f1026,plain,
theorem(or(sF9,sF4)),
inference(forward_demodulation,[],[f1018,f39]) ).
fof(f1101,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f697,f462]) ).
fof(f1140,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f670,f627]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ theorem(or(not(sF2),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF0,or(X1,sF1))) ),
inference(superposition,[],[f670,f25]) ).
fof(f1149,plain,
! [X0,X1] :
( ~ theorem(or(not(sF12),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF8,or(X1,sF11))) ),
inference(superposition,[],[f670,f45]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ theorem(or(not(sF10),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF9,or(X1,sF1))) ),
inference(superposition,[],[f670,f41]) ).
fof(f1155,plain,
! [X0,X1] :
( ~ theorem(or(sF9,or(X1,sF1)))
| theorem(or(X1,X0))
| ~ theorem(or(sF11,X0)) ),
inference(forward_demodulation,[],[f1150,f43]) ).
fof(f1156,plain,
! [X0,X1] :
( ~ theorem(or(sF8,or(X1,sF11)))
| theorem(or(X1,X0))
| ~ theorem(or(sF13,X0)) ),
inference(forward_demodulation,[],[f1149,f47]) ).
fof(f1158,plain,
! [X0,X1] :
( ~ theorem(or(sF0,or(X1,sF1)))
| theorem(or(X1,X0))
| ~ theorem(or(sF3,X0)) ),
inference(forward_demodulation,[],[f1146,f27]) ).
fof(f1172,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f607,f18]) ).
fof(f1285,plain,
theorem(or(not(sF1),sF8)),
inference(resolution,[],[f394,f770]) ).
fof(f1394,plain,
! [X0] :
( ~ theorem(or(sF18,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f393,f623]) ).
fof(f1525,plain,
theorem(or(or(sF16,sF13),sF19)),
inference(resolution,[],[f1394,f307]) ).
fof(f1756,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f932,f100]) ).
fof(f1796,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(not(not(X0)),X1)) ),
inference(resolution,[],[f1756,f461]) ).
fof(f1854,plain,
theorem(or(sF16,or(sF19,sF13))),
inference(resolution,[],[f1172,f1525]) ).
fof(f1887,plain,
theorem(or(sF16,or(sF13,sF19))),
inference(resolution,[],[f1854,f433]) ).
fof(f2259,plain,
! [X0] :
( ~ theorem(or(X0,sF19))
| theorem(sF19)
| ~ theorem(or(not(X0),sF18)) ),
inference(superposition,[],[f1140,f59]) ).
fof(f2270,plain,
! [X0] :
( ~ theorem(or(not(X0),sF18))
| ~ theorem(or(X0,sF19)) ),
inference(forward_subsumption_resolution,[],[f2259,f60]) ).
fof(f2287,definition,
( spl20_87
<=> theorem(or(sF13,sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_87])],[avatar_definition]) ).
fof(f2289,plain,
( theorem(or(sF13,sF19))
| ~ spl20_87 ),
inference(avatar_component_clause,[],[f2287]) ).
fof(f2296,definition,
( spl20_89
<=> theorem(or(sF7,sF14)) ),
introduced(definition,[new_symbols(definition,[spl20_89])],[avatar_definition]) ).
fof(f2298,plain,
( theorem(or(sF7,sF14))
| ~ spl20_89 ),
inference(avatar_component_clause,[],[f2296]) ).
fof(f2345,definition,
( spl20_98
<=> theorem(or(not(sF1),sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_98])],[avatar_definition]) ).
fof(f2346,plain,
( theorem(or(not(sF1),sF19))
| ~ spl20_98 ),
inference(avatar_component_clause,[],[f2345]) ).
fof(f2347,plain,
( ~ theorem(or(not(sF1),sF19))
| spl20_98 ),
inference(avatar_component_clause,[],[f2345]) ).
fof(f2508,plain,
( ~ theorem(or(sF14,sF18))
| ~ theorem(or(sF11,sF19)) ),
inference(superposition,[],[f2270,f49]) ).
fof(f2536,definition,
( spl20_134
<=> theorem(or(sF11,sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_134])],[avatar_definition]) ).
fof(f2538,plain,
( ~ theorem(or(sF11,sF19))
| spl20_134 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f2540,definition,
( spl20_135
<=> theorem(or(sF14,sF18)) ),
introduced(definition,[new_symbols(definition,[spl20_135])],[avatar_definition]) ).
fof(f2542,plain,
( ~ theorem(or(sF14,sF18))
| spl20_135 ),
inference(avatar_component_clause,[],[f2540]) ).
fof(f2543,plain,
( ~ spl20_134
| ~ spl20_135 ),
inference(avatar_split_clause,[],[f2508,f2540,f2536]) ).
fof(f2554,definition,
( spl20_138
<=> theorem(or(sF7,sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_138])],[avatar_definition]) ).
fof(f2555,plain,
( theorem(or(sF7,sF19))
| ~ spl20_138 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f2556,plain,
( ~ theorem(or(sF7,sF19))
| spl20_138 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f2567,definition,
( spl20_141
<=> theorem(or(sF7,sF18)) ),
introduced(definition,[new_symbols(definition,[spl20_141])],[avatar_definition]) ).
fof(f2568,plain,
( theorem(or(sF7,sF18))
| ~ spl20_141 ),
inference(avatar_component_clause,[],[f2567]) ).
fof(f2569,plain,
( ~ theorem(or(sF7,sF18))
| spl20_141 ),
inference(avatar_component_clause,[],[f2567]) ).
fof(f2753,plain,
theorem(or(sF3,or(p,or(sF5,sF1)))),
inference(resolution,[],[f743,f432]) ).
fof(f2768,plain,
theorem(or(sF3,or(p,sF6))),
inference(forward_demodulation,[],[f2753,f33]) ).
fof(f2770,plain,
theorem(or(or(p,sF6),sF19)),
inference(resolution,[],[f2768,f701]) ).
fof(f2803,plain,
theorem(or(p,or(sF19,sF6))),
inference(resolution,[],[f2770,f1172]) ).
fof(f2975,plain,
theorem(or(p,or(sF6,sF19))),
inference(resolution,[],[f2803,f433]) ).
fof(f2983,plain,
theorem(or(sF6,or(p,sF19))),
inference(resolution,[],[f2975,f99]) ).
fof(f3311,plain,
! [X0] :
( theorem(or(not(sF11),X0))
| ~ theorem(or(sF13,X0)) ),
inference(resolution,[],[f1156,f377]) ).
fof(f3314,plain,
! [X0] :
( ~ theorem(or(sF13,X0))
| theorem(or(sF14,X0)) ),
inference(forward_demodulation,[],[f3311,f49]) ).
fof(f3735,plain,
! [X0] :
( theorem(or(not(sF17),or(X0,sF16)))
| ~ theorem(or(X0,sF12)) ),
inference(superposition,[],[f529,f55]) ).
fof(f3782,plain,
! [X0] :
( theorem(or(sF18,or(X0,sF16)))
| ~ theorem(or(X0,sF12)) ),
inference(forward_demodulation,[],[f3735,f57]) ).
fof(f3798,plain,
! [X0] :
( theorem(or(X0,or(sF18,sF16)))
| ~ theorem(or(X0,sF12)) ),
inference(resolution,[],[f3782,f99]) ).
fof(f4351,plain,
! [X0] :
( theorem(or(not(sF6),or(X0,sF1)))
| ~ theorem(or(X0,sF4)) ),
inference(superposition,[],[f524,f33]) ).
fof(f4398,plain,
! [X0] :
( theorem(or(sF7,or(X0,sF1)))
| ~ theorem(or(X0,sF4)) ),
inference(forward_demodulation,[],[f4351,f35]) ).
fof(f4421,plain,
! [X0] :
( theorem(or(X0,or(sF7,sF1)))
| ~ theorem(or(X0,sF4)) ),
inference(resolution,[],[f4398,f99]) ).
fof(f4483,plain,
! [X0] :
( ~ theorem(or(sF0,sF4))
| theorem(or(sF7,X0))
| ~ theorem(or(sF3,X0)) ),
inference(resolution,[],[f4421,f1158]) ).
fof(f4493,plain,
! [X0] :
( ~ theorem(or(sF9,sF4))
| theorem(or(sF7,X0))
| ~ theorem(or(sF11,X0)) ),
inference(resolution,[],[f4421,f1155]) ).
fof(f4531,plain,
! [X0] :
( ~ theorem(or(sF11,X0))
| theorem(or(sF7,X0)) ),
inference(forward_subsumption_resolution,[],[f4493,f1026]) ).
fof(f4533,plain,
! [X0] :
( ~ theorem(or(sF3,X0))
| theorem(or(sF7,X0)) ),
inference(forward_subsumption_resolution,[],[f4483,f401]) ).
fof(f4576,plain,
theorem(or(sF7,not(sF11))),
inference(resolution,[],[f4531,f591]) ).
fof(f4579,plain,
theorem(or(sF7,sF14)),
inference(forward_demodulation,[],[f4576,f49]) ).
fof(f4582,plain,
spl20_89,
inference(avatar_split_clause,[],[f4579,f2296]) ).
fof(f4614,plain,
( theorem(or(sF14,sF7))
| ~ spl20_89 ),
inference(resolution,[],[f2298,f100]) ).
fof(f4615,plain,
( theorem(sF15)
| ~ spl20_89 ),
inference(forward_demodulation,[],[f4614,f51]) ).
fof(f4620,plain,
( $false
| spl20_3
| ~ spl20_89 ),
inference(forward_subsumption_resolution,[],[f4615,f123]) ).
fof(f4621,plain,
( spl20_3
| ~ spl20_89 ),
inference(avatar_contradiction_clause,[],[f4620]) ).
fof(f4653,plain,
( theorem(or(sF13,sF19))
| ~ spl20_4 ),
inference(resolution,[],[f126,f1887]) ).
fof(f4660,plain,
( ! [X0] : theorem(or(not(sF16),X0))
| ~ spl20_4 ),
inference(resolution,[],[f126,f1002]) ).
fof(f4676,plain,
( spl20_87
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f4653,f125,f2287]) ).
fof(f4691,plain,
( ! [X0] :
( ~ theorem(or(X0,sF12))
| theorem(or(X0,sF19)) )
| ~ spl20_87 ),
inference(resolution,[],[f2289,f445]) ).
fof(f4724,plain,
( theorem(or(not(sF8),sF19))
| ~ spl20_87 ),
inference(resolution,[],[f4691,f1022]) ).
fof(f4755,plain,
( ! [X0] :
( ~ theorem(or(sF8,X0))
| theorem(or(X0,sF19)) )
| ~ spl20_87 ),
inference(resolution,[],[f4724,f623]) ).
fof(f4756,plain,
( ! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF19)) )
| ~ spl20_87 ),
inference(resolution,[],[f4724,f402]) ).
fof(f4759,plain,
( theorem(or(not(sF1),sF19))
| ~ spl20_87 ),
inference(resolution,[],[f4756,f1285]) ).
fof(f5256,plain,
! [X0] :
( theorem(or(sF7,or(X0,sF18)))
| ~ theorem(or(X0,sF19)) ),
inference(resolution,[],[f203,f4533]) ).
fof(f5667,plain,
! [X0] :
( theorem(or(X0,or(sF7,sF18)))
| ~ theorem(or(X0,sF19)) ),
inference(resolution,[],[f5256,f99]) ).
fof(f6366,plain,
( theorem(or(sF14,or(sF18,sF16)))
| ~ theorem(or(sF13,sF12)) ),
inference(resolution,[],[f3314,f3798]) ).
fof(f6372,plain,
theorem(or(sF14,or(sF18,sF16))),
inference(forward_subsumption_resolution,[],[f6366,f601]) ).
fof(f6494,plain,
! [X0] :
( theorem(or(sF14,or(sF18,X0)))
| ~ theorem(or(not(sF16),X0)) ),
inference(resolution,[],[f6372,f434]) ).
fof(f6642,plain,
( ! [X0] : theorem(or(sF14,or(sF18,X0)))
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f6494,f4660]) ).
fof(f6671,plain,
( theorem(or(sF14,sF18))
| ~ spl20_4 ),
inference(resolution,[],[f6642,f461]) ).
fof(f6678,plain,
( $false
| ~ spl20_4
| spl20_135 ),
inference(forward_subsumption_resolution,[],[f6671,f2542]) ).
fof(f6679,plain,
( ~ spl20_4
| spl20_135 ),
inference(avatar_contradiction_clause,[],[f6678]) ).
fof(f7835,plain,
( theorem(or(sF7,sF19))
| ~ spl20_87 ),
inference(resolution,[],[f598,f4755]) ).
fof(f8678,plain,
( $false
| ~ spl20_87
| spl20_98 ),
inference(forward_subsumption_resolution,[],[f4759,f2347]) ).
fof(f8679,plain,
( ~ spl20_87
| spl20_98 ),
inference(avatar_contradiction_clause,[],[f8678]) ).
fof(f8686,plain,
( $false
| ~ spl20_87
| spl20_138 ),
inference(forward_subsumption_resolution,[],[f7835,f2556]) ).
fof(f8687,plain,
( ~ spl20_87
| spl20_138 ),
inference(avatar_contradiction_clause,[],[f8686]) ).
fof(f8924,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,X0)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f514,f202]) ).
fof(f9132,plain,
theorem(or(sF9,or(sF11,sF1))),
inference(resolution,[],[f8924,f289]) ).
fof(f10186,plain,
( theorem(or(sF7,sF18))
| ~ theorem(or(sF7,sF19)) ),
inference(resolution,[],[f1101,f5667]) ).
fof(f10244,plain,
( ~ theorem(or(sF7,sF19))
| spl20_141 ),
inference(forward_subsumption_resolution,[],[f10186,f2569]) ).
fof(f10247,plain,
( $false
| ~ spl20_138
| spl20_141 ),
inference(forward_subsumption_resolution,[],[f10244,f2555]) ).
fof(f10248,plain,
( ~ spl20_138
| spl20_141 ),
inference(avatar_contradiction_clause,[],[f10247]) ).
fof(f14406,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(sF3,X0)))
| theorem(or(X1,sF19))
| ~ theorem(or(not(X0),sF18)) ),
inference(resolution,[],[f415,f402]) ).
fof(f14460,plain,
( theorem(or(not(or(sF5,or(sF3,sF1))),sF19))
| ~ theorem(or(not(sF6),sF18)) ),
inference(resolution,[],[f14406,f248]) ).
fof(f14534,plain,
( ~ theorem(or(sF7,sF18))
| theorem(or(not(or(sF5,or(sF3,sF1))),sF19)) ),
inference(forward_demodulation,[],[f14460,f35]) ).
fof(f14570,plain,
( theorem(or(not(or(sF5,or(sF3,sF1))),sF19))
| ~ spl20_141 ),
inference(forward_subsumption_resolution,[],[f14534,f2568]) ).
fof(f14575,plain,
( ! [X0] :
( ~ theorem(or(X0,or(sF5,or(sF3,sF1))))
| theorem(or(X0,sF19)) )
| ~ spl20_141 ),
inference(resolution,[],[f14570,f402]) ).
fof(f14637,plain,
( theorem(or(not(or(or(sF5,sF1),sF3)),sF19))
| ~ spl20_141 ),
inference(resolution,[],[f14575,f607]) ).
fof(f14710,plain,
( theorem(or(not(or(sF6,sF3)),sF19))
| ~ spl20_141 ),
inference(forward_demodulation,[],[f14637,f33]) ).
fof(f14803,plain,
( ! [X0] :
( ~ theorem(or(X0,or(sF6,sF3)))
| theorem(or(X0,sF19)) )
| ~ spl20_141 ),
inference(resolution,[],[f14710,f402]) ).
fof(f14828,plain,
( ! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(or(X0,sF19)) )
| ~ spl20_141 ),
inference(resolution,[],[f14803,f697]) ).
fof(f14878,plain,
( theorem(or(or(p,sF19),sF19))
| ~ spl20_141 ),
inference(resolution,[],[f14828,f2983]) ).
fof(f14923,plain,
( theorem(or(p,or(sF19,sF19)))
| ~ spl20_141 ),
inference(resolution,[],[f14878,f1172]) ).
fof(f14938,plain,
( theorem(or(not(not(p)),sF19))
| ~ spl20_141 ),
inference(resolution,[],[f14923,f1796]) ).
fof(f14950,plain,
( theorem(or(not(sF9),sF19))
| ~ spl20_141 ),
inference(forward_demodulation,[],[f14938,f39]) ).
fof(f14959,plain,
( ! [X0] :
( ~ theorem(or(sF9,X0))
| theorem(or(X0,sF19)) )
| ~ spl20_141 ),
inference(resolution,[],[f14950,f623]) ).
fof(f14994,plain,
( theorem(or(or(sF11,sF1),sF19))
| ~ spl20_141 ),
inference(resolution,[],[f14959,f9132]) ).
fof(f15035,plain,
( theorem(or(sF11,or(sF19,sF1)))
| ~ spl20_141 ),
inference(resolution,[],[f14994,f1172]) ).
fof(f15050,plain,
( theorem(or(sF11,or(sF1,sF19)))
| ~ spl20_141 ),
inference(resolution,[],[f15035,f433]) ).
fof(f15070,plain,
( theorem(or(sF11,sF19))
| ~ theorem(or(not(sF1),sF19))
| ~ spl20_141 ),
inference(resolution,[],[f15050,f817]) ).
fof(f15076,plain,
( ~ theorem(or(not(sF1),sF19))
| spl20_134
| ~ spl20_141 ),
inference(forward_subsumption_resolution,[],[f15070,f2538]) ).
fof(f15078,plain,
( $false
| ~ spl20_98
| spl20_134
| ~ spl20_141 ),
inference(forward_subsumption_resolution,[],[f15076,f2346]) ).
fof(f15079,plain,
( ~ spl20_98
| spl20_134
| ~ spl20_141 ),
inference(avatar_contradiction_clause,[],[f15078]) ).
cnf(s2,plain,
( ~ spl20_3
| spl20_4 ),
inference(sat_conversion,[],[f127]) ).
cnf(s69,plain,
( ~ spl20_134
| ~ spl20_135 ),
inference(sat_conversion,[],[f2543]) ).
cnf(s228,plain,
spl20_89,
inference(sat_conversion,[],[f4582]) ).
cnf(s231,plain,
( spl20_3
| ~ spl20_89 ),
inference(sat_conversion,[],[f4621]) ).
cnf(s238,plain,
( ~ spl20_4
| spl20_87 ),
inference(sat_conversion,[],[f4676]) ).
cnf(s297,plain,
( ~ spl20_4
| spl20_135 ),
inference(sat_conversion,[],[f6679]) ).
cnf(s338,plain,
( ~ spl20_87
| spl20_98 ),
inference(sat_conversion,[],[f8679]) ).
cnf(s343,plain,
( ~ spl20_87
| spl20_138 ),
inference(sat_conversion,[],[f8687]) ).
cnf(s370,plain,
( ~ spl20_138
| spl20_141 ),
inference(sat_conversion,[],[f10248]) ).
cnf(s471,plain,
( ~ spl20_98
| spl20_134
| ~ spl20_141 ),
inference(sat_conversion,[],[f15079]) ).
cnf(s481,plain,
spl20_3,
inference(rat,[],[s231,s228]) ).
cnf(s506,plain,
spl20_4,
inference(rat,[],[s2,s481]) ).
cnf(s507,plain,
spl20_135,
inference(rat,[],[s297,s506]) ).
cnf(s511,plain,
spl20_87,
inference(rat,[],[s238,s506]) ).
cnf(s512,plain,
~ spl20_134,
inference(rat,[],[s69,s507]) ).
cnf(s516,plain,
spl20_138,
inference(rat,[],[s343,s511]) ).
cnf(s517,plain,
spl20_98,
inference(rat,[],[s338,s511]) ).
cnf(s522,plain,
spl20_141,
inference(rat,[],[s370,s516]) ).
cnf(s525,plain,
$false,
inference(rat,[],[s471,s512,s522,s517]) ).
fof(f15082,plain,
$false,
inference(avatar_sat_refutation,[],[s525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL351-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n009.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:36:15 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 8.79/2.50 % (2186056)Input is clausal, will run a generic CNF schedule.
% 8.79/2.50 % (2186111)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=2220643026:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.79/2.50 % (2186114)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=884599440:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.79/2.50 % (2186117)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=630117086:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.79/2.50 % (2186118)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2053262004:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.79/2.50 % (2186112)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3691526036:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.79/2.50 % (2186119)dis-21_1_sil=8000:lcm=predicate:random_seed=730976979: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)
% 8.79/2.50 % (2186115)lrs+10_1_sil=8000:sp=occurrence:random_seed=3819609959:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.79/2.50 % (2186119)Instruction limit reached!
% 8.79/2.50 % (2186119)------------------------------
% 8.79/2.50 % (2186119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186119)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186119)Termination reason: Instruction limit
% 8.79/2.50 % (2186119)Termination phase: Saturation
% 8.79/2.50 % (2186119)Time elapsed: 0.058 s
% 8.79/2.50 % (2186119)Peak memory usage: 87 MB
% 8.79/2.50 % (2186119)Instructions burned: 118 (million)
% 8.79/2.50 % (2186115)Instruction limit reached!
% 8.79/2.50 % (2186115)------------------------------
% 8.79/2.50 % (2186115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186115)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186115)Termination reason: Instruction limit
% 8.79/2.50 % (2186115)Termination phase: Saturation
% 8.79/2.50 % (2186115)Time elapsed: 0.069 s
% 8.79/2.50 % (2186115)Peak memory usage: 89 MB
% 8.79/2.50 % (2186115)Instructions burned: 108 (million)
% 8.79/2.50 % (2186117)Instruction limit reached!
% 8.79/2.50 % (2186117)------------------------------
% 8.79/2.50 % (2186117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186117)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186117)Termination reason: Instruction limit
% 8.79/2.50 % (2186117)Termination phase: Saturation
% 8.79/2.50 % (2186117)Time elapsed: 0.072 s
% 8.79/2.50 % (2186117)Peak memory usage: 88 MB
% 8.79/2.50 % (2186117)Instructions burned: 114 (million)
% 8.79/2.50 % (2186118)Instruction limit reached!
% 8.79/2.50 % (2186118)------------------------------
% 8.79/2.50 % (2186118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186118)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186118)Termination reason: Instruction limit
% 8.79/2.50 % (2186118)Termination phase: Saturation
% 8.79/2.50 % (2186118)Time elapsed: 0.116 s
% 8.79/2.50 % (2186118)Peak memory usage: 90 MB
% 8.79/2.50 % (2186118)Instructions burned: 182 (million)
% 8.79/2.50 % (2186149)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=1871764055:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.79/2.50 % (2186149)Refutation not found, incomplete strategy
% 8.79/2.50 % (2186149)------------------------------
% 8.79/2.50 % (2186149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186149)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186149)Termination reason: Refutation not found, incomplete strategy
% 8.79/2.50 % (2186149)Time elapsed: 0.001 s
% 8.79/2.50 % (2186149)Peak memory usage: 87 MB
% 8.79/2.50 % (2186153)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4196354803: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)
% 8.79/2.50 % (2186154)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1054873776:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.79/2.50 % (2186153)Refutation not found, incomplete strategy
% 8.79/2.50 % (2186153)------------------------------
% 8.79/2.50 % (2186153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186153)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186153)Termination reason: Refutation not found, incomplete strategy
% 8.79/2.50 % (2186153)Time elapsed: 0.001 s
% 8.79/2.50 % (2186153)Peak memory usage: 87 MB
% 8.79/2.50 % (2186154)Refutation not found, incomplete strategy
% 8.79/2.50 % (2186154)------------------------------
% 8.79/2.50 % (2186154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186154)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186154)Termination reason: Refutation not found, incomplete strategy
% 8.79/2.50 % (2186154)Time elapsed: 0.002 s
% 8.79/2.50 % (2186154)Peak memory usage: 88 MB
% 8.79/2.50 % (2186154)Instructions burned: 1 (million)
% 8.79/2.50 % (2186171)lrs+10_64_to=lpo:sil=8000:random_seed=3861861017:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.79/2.50 % (2186171)Instruction limit reached!
% 8.79/2.50 % (2186171)------------------------------
% 8.79/2.50 % (2186171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186171)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186171)Termination reason: Instruction limit
% 8.79/2.50 % (2186171)Termination phase: Saturation
% 8.79/2.50 % (2186171)Time elapsed: 0.073 s
% 8.79/2.50 % (2186171)Peak memory usage: 89 MB
% 8.79/2.50 % (2186171)Instructions burned: 127 (million)
% 8.79/2.50 % (2186149)------------------------------
% 8.79/2.50 % (2186149)------------------------------
% 8.79/2.50 % (2186154)------------------------------
% 8.79/2.50 % (2186154)------------------------------
% 8.79/2.50 % (2186153)------------------------------
% 8.79/2.50 % (2186153)------------------------------
% 8.79/2.50 % (2186223)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=871437357:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.79/2.50 % (2186243)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3396717562:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.79/2.50 % (2186244)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1059766793:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.79/2.50 % (2186245)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=761476393:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.79/2.50 % (2186223)Instruction limit reached!
% 8.79/2.50 % (2186223)------------------------------
% 8.79/2.50 % (2186223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186223)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186223)Termination reason: Instruction limit
% 8.79/2.50 % (2186223)Termination phase: Saturation
% 8.79/2.50 % (2186223)Time elapsed: 0.127 s
% 8.79/2.50 % (2186223)Peak memory usage: 90 MB
% 8.79/2.50 % (2186223)Instructions burned: 195 (million)
% 8.79/2.50 % (2186245)Instruction limit reached!
% 8.79/2.50 % (2186245)------------------------------
% 8.79/2.50 % (2186245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186245)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186245)Termination reason: Instruction limit
% 8.79/2.50 % (2186245)Termination phase: Saturation
% 8.79/2.50 % (2186245)Time elapsed: 0.057 s
% 8.79/2.50 % (2186245)Peak memory usage: 88 MB
% 8.79/2.50 % (2186245)Instructions burned: 107 (million)
% 8.79/2.50 % (2186243)Instruction limit reached!
% 8.79/2.50 % (2186243)------------------------------
% 8.79/2.50 % (2186243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186243)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186243)Termination reason: Instruction limit
% 8.79/2.50 % (2186243)Termination phase: Saturation
% 8.79/2.50 % (2186243)Time elapsed: 0.096 s
% 8.79/2.50 % (2186243)Peak memory usage: 91 MB
% 8.79/2.50 % (2186243)Instructions burned: 157 (million)
% 8.79/2.50 % (2186264)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3176145388:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.79/2.50 % (2186264)Refutation not found, incomplete strategy
% 8.79/2.50 % (2186264)------------------------------
% 8.79/2.50 % (2186264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186264)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186264)Termination reason: Refutation not found, incomplete strategy
% 8.79/2.50 % (2186264)Time elapsed: 0.001 s
% 8.79/2.50 % (2186264)Peak memory usage: 87 MB
% 8.79/2.50 % (2186293)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1329697672:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.79/2.50 % (2186292)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2281098723:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.79/2.50 % (2186292)Instruction limit reached!
% 8.79/2.50 % (2186292)------------------------------
% 8.79/2.50 % (2186292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186292)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186292)Termination reason: Instruction limit
% 8.79/2.50 % (2186292)Termination phase: Saturation
% 8.79/2.50 % (2186292)Time elapsed: 0.149 s
% 8.79/2.50 % (2186292)Peak memory usage: 90 MB
% 8.79/2.50 % (2186292)Instructions burned: 243 (million)
% 8.79/2.50 % (2186264)------------------------------
% 8.79/2.50 % (2186264)------------------------------
% 8.79/2.50 % (2186303)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3681115249:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 8.79/2.50 % (2186304)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2314526444:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 8.79/2.50 % (2186303)Instruction limit reached!
% 8.79/2.50 % (2186303)------------------------------
% 8.79/2.50 % (2186303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.50 % (2186303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.50 % (2186303)CaDiCaL version: 2.1.3
% 8.79/2.50 % (2186303)Termination reason: Instruction limit
% 8.79/2.50 % (2186303)Termination phase: Saturation
% 8.79/2.50 % (2186303)Time elapsed: 0.087 s
% 8.79/2.50 % (2186303)Peak memory usage: 90 MB
% 8.79/2.50 % (2186303)Instructions burned: 135 (million)
% 8.79/2.50 % (2186111)First to succeed.
% 8.79/2.50 % (2186111)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2186056"
% 8.79/2.50 % (2186307)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=596467007:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 8.79/2.50 % (2186111)Refutation found. Thanks to Tanya!
% 8.79/2.50 % SZS status Unsatisfiable for theBenchmark
% 8.79/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.60 % (2186111)------------------------------
% 0.16/2.60 % (2186111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.60 % (2186111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.60 % (2186111)CaDiCaL version: 2.1.3
% 0.16/2.60 % (2186111)Termination reason: Refutation
% 0.16/2.60 % (2186111)Time elapsed: 1.306 s
% 0.16/2.60 % (2186111)Peak memory usage: 154 MB
% 0.16/2.60 % (2186111)Instructions burned: 3622 (million)
% 0.16/2.60 % (2186111)------------------------------
% 0.16/2.60 % (2186111)------------------------------
% 0.16/2.60 % (2186056)Success in time 1.604 s
% 0.16/2.60 % Vampire exiting
%------------------------------------------------------------------------------