%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL289-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:51:53 AM UTC 2026
% Result : Unsatisfiable 17.59s 3.55s
% Output : Refutation 18.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 146 ( 81 unt; 17 def)
% Number of atoms : 238 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 189 ( 97 ~; 90 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(not(and(p,not(q))),or(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(not(not(or(not(p),not(not(q)))))),or(not(p),q))),not(or(not(or(not(p),q)),not(not(or(not(p),not(not(q)))))))))),
inference(definition_unfolding,[],[f11,f12,f9]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = not(q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
not(q) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = or(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
or(sF0,sF2) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = not(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
not(sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
or(sF0,q) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = or(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
or(sF6,sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = not(sF7),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
not(sF7) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = or(sF10,sF5),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
or(sF10,sF5) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = not(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
not(sF11) = sF12,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF13 = or(sF9,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f47,plain,
or(sF9,sF12) = sF13,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF14 = not(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
not(sF13) = sF14,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
~ theorem(sF14),
inference(definition_folding,[],[f19,f49,f47,f45,f43,f31,f29,f27,f25,f23,f21,f41,f35,f21,f39,f37,f35,f21,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f51,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f54,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f57,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f95,plain,
theorem(or(not(sF3),or(sF2,sF0))),
inference(superposition,[],[f54,f27]) ).
fof(f96,plain,
theorem(or(sF4,or(sF2,sF0))),
inference(forward_demodulation,[],[f95,f29]) ).
fof(f100,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f51]) ).
fof(f101,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f18,f54]) ).
fof(f109,plain,
! [X0] :
( ~ theorem(or(sF12,X0))
| theorem(X0)
| ~ theorem(sF11) ),
inference(superposition,[],[f18,f45]) ).
fof(f111,definition,
( spl15_1
<=> theorem(sF11) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f113,plain,
( ~ theorem(sF11)
| spl15_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f115,definition,
( spl15_2
<=> ! [X0] :
( ~ theorem(or(sF12,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] :
( ~ theorem(or(sF12,X0))
| theorem(X0) )
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f109,f115,f111]) ).
fof(f183,plain,
theorem(or(not(sF13),or(sF12,sF9))),
inference(superposition,[],[f54,f47]) ).
fof(f184,plain,
theorem(or(sF14,or(sF12,sF9))),
inference(forward_demodulation,[],[f183,f49]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f57,f18]) ).
fof(f261,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f280,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f293,plain,
theorem(or(not(q),sF7)),
inference(superposition,[],[f261,f35]) ).
fof(f295,plain,
theorem(or(not(sF7),sF8)),
inference(superposition,[],[f261,f37]) ).
fof(f299,plain,
theorem(or(sF10,sF8)),
inference(forward_demodulation,[],[f295,f41]) ).
fof(f300,plain,
theorem(or(sF1,sF7)),
inference(forward_demodulation,[],[f293,f23]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f100,f18]) ).
fof(f316,plain,
! [X0] :
( theorem(or(not(sF7),or(sF0,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f100,f35]) ).
fof(f330,plain,
! [X0] :
( theorem(or(sF10,or(sF0,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f316,f41]) ).
fof(f333,plain,
! [X0] :
( theorem(or(sF10,or(sF0,X0)))
| ~ theorem(or(sF1,X0)) ),
inference(forward_demodulation,[],[f330,f23]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f313,f54]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f313,f100]) ).
fof(f339,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f313,f280]) ).
fof(f342,plain,
! [X0,X1] :
( ~ theorem(or(sF2,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF1)) ),
inference(superposition,[],[f313,f25]) ).
fof(f343,plain,
! [X0,X1] :
( ~ theorem(or(sF4,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF3)) ),
inference(superposition,[],[f313,f29]) ).
fof(f346,plain,
! [X0,X1] :
( ~ theorem(or(sF10,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF7)) ),
inference(superposition,[],[f313,f41]) ).
fof(f347,plain,
! [X0,X1] :
( ~ theorem(or(sF9,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF8)) ),
inference(superposition,[],[f313,f39]) ).
fof(f349,plain,
! [X0,X1] :
( ~ theorem(or(sF14,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF13)) ),
inference(superposition,[],[f313,f49]) ).
fof(f353,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f339,f261]) ).
fof(f359,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f335,f261]) ).
fof(f371,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f353,f101]) ).
fof(f387,plain,
theorem(or(sF1,sF2)),
inference(superposition,[],[f371,f25]) ).
fof(f390,plain,
theorem(or(sF5,sF6)),
inference(superposition,[],[f371,f33]) ).
fof(f396,plain,
theorem(or(sF12,or(sF14,sF9))),
inference(resolution,[],[f184,f220]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f336,f51]) ).
fof(f411,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f336,f54]) ).
fof(f413,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,[],[f336,f57]) ).
fof(f435,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f411,f339]) ).
fof(f484,plain,
theorem(or(sF12,or(sF9,sF14))),
inference(resolution,[],[f396,f335]) ).
fof(f497,plain,
( theorem(or(sF10,sF3))
| ~ theorem(or(sF1,sF2)) ),
inference(superposition,[],[f333,f27]) ).
fof(f498,plain,
theorem(or(sF10,sF3)),
inference(forward_subsumption_resolution,[],[f497,f387]) ).
fof(f513,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f413,f18]) ).
fof(f634,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f359,f220]) ).
fof(f647,plain,
theorem(or(not(sF0),sF7)),
inference(superposition,[],[f359,f35]) ).
fof(f649,plain,
theorem(or(not(sF6),sF8)),
inference(superposition,[],[f359,f37]) ).
fof(f650,plain,
theorem(or(not(sF9),sF13)),
inference(superposition,[],[f359,f47]) ).
fof(f686,plain,
theorem(or(sF2,or(sF4,sF0))),
inference(resolution,[],[f96,f220]) ).
fof(f702,plain,
! [X0] :
( theorem(or(X0,not(sF4)))
| ~ theorem(or(X0,sF3)) ),
inference(resolution,[],[f343,f371]) ).
fof(f705,plain,
! [X0] :
( ~ theorem(or(X0,sF3))
| theorem(or(X0,sF5)) ),
inference(forward_demodulation,[],[f702,f31]) ).
fof(f708,plain,
theorem(or(sF10,sF5)),
inference(resolution,[],[f705,f498]) ).
fof(f709,plain,
theorem(sF11),
inference(forward_demodulation,[],[f708,f43]) ).
fof(f711,plain,
( $false
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f709,f113]) ).
fof(f712,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f715,plain,
( theorem(or(sF9,sF14))
| ~ spl15_2 ),
inference(resolution,[],[f116,f484]) ).
fof(f721,plain,
( ! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF14)) )
| ~ spl15_2 ),
inference(resolution,[],[f715,f347]) ).
fof(f725,plain,
( theorem(or(sF10,sF14))
| ~ spl15_2 ),
inference(resolution,[],[f721,f299]) ).
fof(f736,plain,
( ! [X0] :
( ~ theorem(or(X0,sF7))
| theorem(or(X0,sF14)) )
| ~ spl15_2 ),
inference(resolution,[],[f346,f725]) ).
fof(f744,plain,
( theorem(or(sF1,sF14))
| ~ spl15_2 ),
inference(resolution,[],[f736,f300]) ).
fof(f747,plain,
( theorem(or(sF14,sF1))
| ~ spl15_2 ),
inference(resolution,[],[f744,f101]) ).
fof(f748,plain,
( ! [X0] :
( ~ theorem(or(X0,sF13))
| theorem(or(X0,sF1)) )
| ~ spl15_2 ),
inference(resolution,[],[f747,f349]) ).
fof(f903,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f410,f18]) ).
fof(f946,plain,
! [X0] :
( theorem(or(X0,or(sF4,sF0)))
| ~ theorem(or(X0,sF1)) ),
inference(resolution,[],[f686,f342]) ).
fof(f1078,plain,
! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f435,f18]) ).
fof(f1079,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f435,f513]) ).
fof(f1186,plain,
( theorem(or(not(sF0),sF14))
| ~ spl15_2 ),
inference(resolution,[],[f647,f736]) ).
fof(f1314,plain,
( ! [X0] : theorem(or(not(sF12),X0))
| ~ spl15_2 ),
inference(resolution,[],[f634,f116]) ).
fof(f1596,plain,
( theorem(or(not(sF6),sF14))
| ~ spl15_2 ),
inference(resolution,[],[f649,f721]) ).
fof(f1600,plain,
( ! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF14)) )
| ~ spl15_2 ),
inference(resolution,[],[f1596,f313]) ).
fof(f1622,plain,
( theorem(or(sF5,sF14))
| ~ spl15_2 ),
inference(resolution,[],[f390,f1600]) ).
fof(f1641,plain,
( theorem(or(not(sF9),sF1))
| ~ spl15_2 ),
inference(resolution,[],[f650,f748]) ).
fof(f3057,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(or(not(X1),X2))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f903,f435]) ).
fof(f3586,plain,
( theorem(sF14)
| ~ theorem(or(sF0,sF14))
| ~ spl15_2 ),
inference(resolution,[],[f1078,f1186]) ).
fof(f3622,plain,
( ~ theorem(or(sF0,sF14))
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f3586,f50]) ).
fof(f3702,plain,
! [X0] :
( theorem(or(not(sF13),X0))
| ~ theorem(or(not(sF12),X0))
| ~ theorem(or(not(sF9),X0)) ),
inference(superposition,[],[f3057,f47]) ).
fof(f3705,plain,
( ! [X0] :
( theorem(or(not(sF13),X0))
| ~ theorem(or(not(sF9),X0)) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f3702,f1314]) ).
fof(f3712,plain,
( ! [X0] :
( ~ theorem(or(not(sF9),X0))
| theorem(or(sF14,X0)) )
| ~ spl15_2 ),
inference(forward_demodulation,[],[f3705,f49]) ).
fof(f3739,plain,
( theorem(or(sF14,or(sF4,sF0)))
| ~ theorem(or(not(sF9),sF1))
| ~ spl15_2 ),
inference(resolution,[],[f3712,f946]) ).
fof(f3750,plain,
( theorem(or(sF14,or(sF4,sF0)))
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f3739,f1641]) ).
fof(f3755,plain,
( theorem(or(sF4,or(sF14,sF0)))
| ~ spl15_2 ),
inference(resolution,[],[f3750,f220]) ).
fof(f3762,plain,
( theorem(or(sF4,or(sF0,sF14)))
| ~ spl15_2 ),
inference(resolution,[],[f3755,f335]) ).
fof(f3768,plain,
( theorem(or(sF0,sF14))
| ~ theorem(or(not(sF4),sF14))
| ~ spl15_2 ),
inference(resolution,[],[f3762,f1079]) ).
fof(f3773,plain,
( ~ theorem(or(not(sF4),sF14))
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f3768,f3622]) ).
fof(f3774,plain,
( ~ theorem(or(sF5,sF14))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f3773,f31]) ).
fof(f3775,plain,
( $false
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f3774,f1622]) ).
fof(f3776,plain,
~ spl15_2,
inference(avatar_contradiction_clause,[],[f3775]) ).
cnf(s1,plain,
( ~ spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f117]) ).
cnf(s14,plain,
spl15_1,
inference(sat_conversion,[],[f712]) ).
cnf(s115,plain,
~ spl15_2,
inference(sat_conversion,[],[f3776]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s1,s115,s14]) ).
fof(f3777,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL289-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 15:28:05 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.59/3.55 % (2737781)Input is clausal, will run a generic CNF schedule.
% 17.59/3.55 % (2737791)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1311687894:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.59/3.55 % (2737787)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=3090814313:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.59/3.55 % (2737791)Instruction limit reached!
% 17.59/3.55 % (2737791)------------------------------
% 17.59/3.55 % (2737791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737791)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737791)Termination reason: Instruction limit
% 17.59/3.55 % (2737791)Termination phase: Saturation
% 17.59/3.55 % (2737791)Time elapsed: 0.060 s
% 17.59/3.55 % (2737791)Peak memory usage: 88 MB
% 17.59/3.55 % (2737791)Instructions burned: 116 (million)
% 17.59/3.55 % (2737792)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1008248637:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.59/3.55 % (2737788)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3511742686:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.59/3.55 % (2737790)lrs+10_1_sil=8000:sp=occurrence:random_seed=3070223225:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.59/3.55 % (2737789)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=372327663:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.59/3.55 % (2737793)dis-21_1_sil=8000:lcm=predicate:random_seed=3906489268: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)
% 17.59/3.55 % (2737790)Instruction limit reached!
% 17.59/3.55 % (2737790)------------------------------
% 17.59/3.55 % (2737790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737790)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737790)Termination reason: Instruction limit
% 17.59/3.55 % (2737790)Termination phase: Saturation
% 17.59/3.55 % (2737790)Time elapsed: 0.115 s
% 17.59/3.55 % (2737790)Peak memory usage: 89 MB
% 17.59/3.55 % (2737790)Instructions burned: 107 (million)
% 17.59/3.55 % (2737793)Instruction limit reached!
% 17.59/3.55 % (2737793)------------------------------
% 17.59/3.55 % (2737793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737793)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737793)Termination reason: Instruction limit
% 17.59/3.55 % (2737793)Termination phase: Saturation
% 17.59/3.55 % (2737793)Time elapsed: 0.101 s
% 17.59/3.55 % (2737793)Peak memory usage: 87 MB
% 17.59/3.55 % (2737793)Instructions burned: 117 (million)
% 17.59/3.55 % (2737792)Instruction limit reached!
% 17.59/3.55 % (2737792)------------------------------
% 17.59/3.55 % (2737792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737792)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737792)Termination reason: Instruction limit
% 17.59/3.55 % (2737792)Termination phase: Saturation
% 17.59/3.55 % (2737792)Time elapsed: 0.187 s
% 17.59/3.55 % (2737792)Peak memory usage: 90 MB
% 17.59/3.55 % (2737792)Instructions burned: 181 (million)
% 17.59/3.55 % (2737796)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=1454701029:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.59/3.55 % (2737796)Refutation not found, incomplete strategy
% 17.59/3.55 % (2737796)------------------------------
% 17.59/3.55 % (2737796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737796)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737796)Termination reason: Refutation not found, incomplete strategy
% 17.59/3.55 % (2737796)Time elapsed: 0.001 s
% 17.59/3.55 % (2737796)Peak memory usage: 88 MB
% 17.59/3.55 % (2737803)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=981093629:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 17.59/3.55 % (2737803)Refutation not found, incomplete strategy
% 17.59/3.55 % (2737803)------------------------------
% 17.59/3.55 % (2737803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737803)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737803)Termination reason: Refutation not found, incomplete strategy
% 17.59/3.55 % (2737803)Time elapsed: 0.002 s
% 17.59/3.55 % (2737803)Peak memory usage: 88 MB
% 17.59/3.55 % (2737803)Instructions burned: 1 (million)
% 17.59/3.55 % (2737802)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3383827638:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 17.59/3.55 % (2737802)Refutation not found, incomplete strategy
% 17.59/3.55 % (2737802)------------------------------
% 17.59/3.55 % (2737802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737802)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737802)Termination reason: Refutation not found, incomplete strategy
% 17.59/3.55 % (2737802)Time elapsed: 0.002 s
% 17.59/3.55 % (2737802)Peak memory usage: 87 MB
% 17.59/3.55 % (2737796)------------------------------
% 17.59/3.55 % (2737796)------------------------------
% 17.59/3.55 % (2737804)lrs+10_64_to=lpo:sil=8000:random_seed=4014324652:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 17.59/3.55 % (2737804)Instruction limit reached!
% 17.59/3.55 % (2737804)------------------------------
% 17.59/3.55 % (2737804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737804)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737804)Termination reason: Instruction limit
% 17.59/3.55 % (2737804)Termination phase: Saturation
% 17.59/3.55 % (2737804)Time elapsed: 0.121 s
% 17.59/3.55 % (2737804)Peak memory usage: 89 MB
% 17.59/3.55 % (2737804)Instructions burned: 126 (million)
% 17.59/3.55 % (2737808)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2102436970:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 17.59/3.55 % (2737803)------------------------------
% 17.59/3.55 % (2737803)------------------------------
% 17.59/3.55 % (2737802)------------------------------
% 17.59/3.55 % (2737802)------------------------------
% 17.59/3.55 % (2737808)Instruction limit reached!
% 17.59/3.55 % (2737808)------------------------------
% 17.59/3.55 % (2737808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737808)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737808)Termination reason: Instruction limit
% 17.59/3.55 % (2737808)Termination phase: Saturation
% 17.59/3.55 % (2737808)Time elapsed: 0.215 s
% 17.59/3.55 % (2737808)Peak memory usage: 90 MB
% 17.59/3.55 % (2737808)Instructions burned: 194 (million)
% 17.59/3.55 % (2737810)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3624481126:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 17.59/3.55 % (2737810)Instruction limit reached!
% 17.59/3.55 % (2737810)------------------------------
% 17.59/3.55 % (2737810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737810)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737810)Termination reason: Instruction limit
% 17.59/3.55 % (2737810)Termination phase: Saturation
% 17.59/3.55 % (2737810)Time elapsed: 0.092 s
% 17.59/3.55 % (2737810)Peak memory usage: 91 MB
% 17.59/3.55 % (2737810)Instructions burned: 157 (million)
% 17.59/3.55 % (2737813)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=3348571294:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 17.59/3.55 % (2737812)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=651288836:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 17.59/3.55 % (2737813)Instruction limit reached!
% 17.59/3.55 % (2737813)------------------------------
% 17.59/3.55 % (2737813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737813)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737813)Termination reason: Instruction limit
% 17.59/3.55 % (2737813)Termination phase: Saturation
% 17.59/3.55 % (2737813)Time elapsed: 0.093 s
% 17.59/3.55 % (2737813)Peak memory usage: 88 MB
% 17.59/3.55 % (2737813)Instructions burned: 107 (million)
% 17.59/3.55 % (2737815)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3623860211:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 17.59/3.55 % (2737815)Refutation not found, incomplete strategy
% 17.59/3.55 % (2737815)------------------------------
% 17.59/3.55 % (2737815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737815)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737815)Termination reason: Refutation not found, incomplete strategy
% 17.59/3.55 % (2737815)Time elapsed: 0.002 s
% 17.59/3.55 % (2737815)Peak memory usage: 87 MB
% 17.59/3.55 % (2737816)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2261297997:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 17.59/3.55 % (2737816)Instruction limit reached!
% 17.59/3.55 % (2737816)------------------------------
% 17.59/3.55 % (2737816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737816)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737816)Termination reason: Instruction limit
% 17.59/3.55 % (2737816)Termination phase: Saturation
% 17.59/3.55 % (2737816)Time elapsed: 0.125 s
% 17.59/3.55 % (2737816)Peak memory usage: 91 MB
% 17.59/3.55 % (2737816)Instructions burned: 242 (million)
% 17.59/3.55 % (2737820)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2963538710:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 17.59/3.55 % (2737824)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2297197161:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 17.59/3.55 % (2737815)------------------------------
% 17.59/3.55 % (2737815)------------------------------
% 17.59/3.55 % (2737824)Instruction limit reached!
% 17.59/3.55 % (2737824)------------------------------
% 17.59/3.55 % (2737824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737824)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737824)Termination reason: Instruction limit
% 17.59/3.55 % (2737824)Termination phase: Saturation
% 17.59/3.55 % (2737824)Time elapsed: 0.098 s
% 17.59/3.55 % (2737824)Peak memory usage: 90 MB
% 17.59/3.55 % (2737824)Instructions burned: 134 (million)
% 17.59/3.55 % (2737787)First to succeed.
% 17.59/3.55 % (2737827)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2697330993:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 17.59/3.55 % (2737787)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2737781"
% 17.59/3.55 % (2737828)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2914250407:i=191:fgj=on:bd=all_2981 on theBenchmark for (2981ds/191Mi)
% 17.59/3.55 % (2737828)Instruction limit reached!
% 17.59/3.55 % (2737828)------------------------------
% 17.59/3.55 % (2737828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.55 % (2737828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.55 % (2737828)CaDiCaL version: 2.1.3
% 17.59/3.55 % (2737828)Termination reason: Instruction limit
% 17.59/3.55 % (2737828)Termination phase: Saturation
% 17.59/3.55 % (2737828)Time elapsed: 0.125 s
% 17.59/3.55 % (2737828)Peak memory usage: 93 MB
% 17.59/3.55 % (2737828)Instructions burned: 191 (million)
% 17.59/3.55 % (2737812)Also succeeded, but the first one will report.
% 17.59/3.55 % (2737831)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2650225435:i=264:kws=precedence:fsr=off_2978 on theBenchmark for (2978ds/264Mi)
% 17.59/3.55 % (2737787)Refutation found. Thanks to Tanya!
% 17.59/3.55 % SZS status Unsatisfiable for theBenchmark
% 17.59/3.55 % SZS output start Proof for theBenchmark
% See solution above
% 18.34/3.80 % (2737787)------------------------------
% 18.34/3.80 % (2737787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.34/3.80 % (2737787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.80 % (2737787)CaDiCaL version: 2.1.3
% 18.34/3.80 % (2737787)Termination reason: Refutation
% 18.34/3.80 % (2737787)Time elapsed: 1.890 s
% 18.34/3.80 % (2737787)Peak memory usage: 136 MB
% 18.34/3.80 % (2737787)Instructions burned: 1711 (million)
% 18.34/3.80 % (2737787)------------------------------
% 18.34/3.80 % (2737787)------------------------------
% 18.34/3.80 % (2737781)Success in time 2.498 s
% 18.34/3.80 % Vampire exiting
%------------------------------------------------------------------------------