%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL336-3 : 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 : n002.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 11:52:01 AM UTC 2026
% Result : Unsatisfiable 25.98s 5.23s
% Output : Refutation 30.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 46
% Syntax : Number of formulae : 276 ( 118 unt; 35 def)
% Number of atoms : 475 ( 46 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 380 ( 181 ~; 185 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 23 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 187 !; 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(and(p,equivalent(p,q)),and(q,equivalent(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(or(not(p),not(not(or(not(or(not(p),q)),not(or(not(q),p)))))))),not(or(not(q),not(not(or(not(or(not(p),q)),not(or(not(q),p))))))))),not(or(not(not(or(not(q),not(not(or(not(or(not(p),q)),not(or(not(q),p)))))))),not(or(not(p),not(not(or(not(or(not(p),q)),not(or(not(q),p)))))))))))),
inference(definition_unfolding,[],[f11,f12,f9,f12,f9,f12]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
not(q) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = or(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(sF0,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF0,sF8) = 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 = 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(sF3,sF8),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
or(sF3,sF8) = 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 = or(sF11,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
or(sF11,sF13) = sF14,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF15 = not(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f51,plain,
not(sF14) = sF15,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF16 = not(sF13),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f53,plain,
not(sF13) = sF16,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF17 = or(sF16,sF10),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f55,plain,
or(sF16,sF10) = 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(sF15,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f59,plain,
or(sF15,sF18) = sF19,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF20 = not(sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f61,plain,
not(sF19) = sF20,
inference(reorient_equations,[],[f60]) ).
fof(f62,plain,
~ theorem(sF20),
inference(definition_folding,[],[f19,f61,f59,f57,f55,f41,f39,f37,f35,f33,f31,f29,f27,f25,f23,f21,f21,f53,f47,f45,f37,f35,f33,f31,f29,f27,f25,f23,f21,f27,f51,f49,f47,f45,f37,f35,f33,f31,f29,f27,f25,f23,f21,f27,f43,f41,f39,f37,f35,f33,f31,f29,f27,f25,f23,f21,f21]) ).
fof(f63,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f64,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f17,f7]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f63]) ).
fof(f90,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f64]) ).
fof(f101,plain,
! [X0] :
( ~ theorem(or(sF15,X0))
| theorem(X0)
| ~ theorem(sF14) ),
inference(superposition,[],[f18,f51]) ).
fof(f104,definition,
( spl21_1
<=> theorem(sF17) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f105,plain,
( theorem(sF17)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f106,plain,
( ~ theorem(sF17)
| spl21_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f112,definition,
( spl21_3
<=> theorem(sF14) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f114,plain,
( ~ theorem(sF14)
| spl21_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f116,definition,
( spl21_4
<=> ! [X0] :
( ~ theorem(or(sF15,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f117,plain,
( ! [X0] :
( ~ theorem(or(sF15,X0))
| theorem(X0) )
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( ~ spl21_3
| spl21_4 ),
inference(avatar_split_clause,[],[f101,f116,f112]) ).
fof(f200,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f89,f64]) ).
fof(f207,plain,
! [X0] : theorem(or(not(or(not(q),X0)),or(not(sF1),or(sF0,X0)))),
inference(superposition,[],[f64,f23]) ).
fof(f210,plain,
! [X0] : theorem(or(not(or(not(q),X0)),or(sF2,or(sF0,X0)))),
inference(forward_demodulation,[],[f207,f25]) ).
fof(f212,plain,
! [X0] : theorem(or(not(or(sF3,X0)),or(sF2,or(sF0,X0)))),
inference(forward_demodulation,[],[f210,f27]) ).
fof(f231,plain,
! [X0] : theorem(or(not(or(not(p),X0)),or(not(sF4),or(sF3,X0)))),
inference(superposition,[],[f64,f29]) ).
fof(f234,plain,
! [X0] : theorem(or(not(or(not(p),X0)),or(sF5,or(sF3,X0)))),
inference(forward_demodulation,[],[f231,f31]) ).
fof(f236,plain,
! [X0] : theorem(or(not(or(sF0,X0)),or(sF5,or(sF3,X0)))),
inference(forward_demodulation,[],[f234,f21]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f90,f18]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f308,f63]) ).
fof(f340,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f308,f90]) ).
fof(f345,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f308,f35]) ).
fof(f347,plain,
! [X0,X1] :
( ~ theorem(or(sF10,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF9)) ),
inference(superposition,[],[f308,f41]) ).
fof(f349,plain,
! [X0,X1] :
( ~ theorem(or(sF13,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF12)) ),
inference(superposition,[],[f308,f47]) ).
fof(f351,plain,
! [X0,X1] :
( ~ theorem(or(sF15,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF14)) ),
inference(superposition,[],[f308,f51]) ).
fof(f352,plain,
! [X0,X1] :
( ~ theorem(or(sF18,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF17)) ),
inference(superposition,[],[f308,f57]) ).
fof(f354,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,[],[f340,f63]) ).
fof(f369,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f369,f308]) ).
fof(f395,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f369,f18]) ).
fof(f396,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f369,f340]) ).
fof(f397,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f369,f89]) ).
fof(f404,plain,
theorem(or(not(sF19),or(sF18,sF15))),
inference(superposition,[],[f369,f59]) ).
fof(f415,plain,
theorem(or(sF20,or(sF18,sF15))),
inference(forward_demodulation,[],[f404,f61]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f354,f18]) ).
fof(f470,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f338,f369]) ).
fof(f481,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f507,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f481,f308]) ).
fof(f509,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f481,f394]) ).
fof(f528,plain,
theorem(or(not(sF8),sF9)),
inference(superposition,[],[f481,f39]) ).
fof(f529,plain,
theorem(or(not(sF5),sF6)),
inference(superposition,[],[f481,f33]) ).
fof(f541,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f507,f394]) ).
fof(f547,plain,
! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF9)) ),
inference(superposition,[],[f507,f39]) ).
fof(f550,plain,
! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF12)) ),
inference(superposition,[],[f507,f45]) ).
fof(f553,plain,
! [X0] :
( ~ theorem(or(X0,sF10))
| theorem(or(X0,sF17)) ),
inference(superposition,[],[f507,f55]) ).
fof(f555,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f200,f18]) ).
fof(f602,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X1),X3)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f555,f308]) ).
fof(f609,plain,
! [X0,X1] :
( theorem(or(not(or(sF0,X0)),or(X1,X0)))
| ~ theorem(or(X1,p)) ),
inference(superposition,[],[f555,f21]) ).
fof(f630,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f631,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f630,f308]) ).
fof(f632,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f630,f18]) ).
fof(f643,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f631,f481]) ).
fof(f648,plain,
theorem(or(sF18,or(sF20,sF15))),
inference(resolution,[],[f415,f89]) ).
fof(f653,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f447,f630]) ).
fof(f654,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f447,f369]) ).
fof(f670,plain,
! [X0,X1] :
( ~ theorem(or(not(sF17),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF16,or(X1,sF10))) ),
inference(superposition,[],[f447,f55]) ).
fof(f671,plain,
! [X0,X1] :
( ~ theorem(or(sF16,or(X1,sF10)))
| theorem(or(X1,X0))
| ~ theorem(or(sF18,X0)) ),
inference(forward_demodulation,[],[f670,f57]) ).
fof(f687,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f643,f395]) ).
fof(f688,plain,
theorem(or(sF0,p)),
inference(superposition,[],[f643,f21]) ).
fof(f735,plain,
theorem(or(sF18,or(sF15,sF20))),
inference(resolution,[],[f648,f394]) ).
fof(f742,plain,
theorem(or(sF15,or(sF18,sF20))),
inference(resolution,[],[f735,f89]) ).
fof(f746,plain,
! [X0] :
( theorem(or(X0,not(sF10)))
| ~ theorem(or(X0,sF9)) ),
inference(resolution,[],[f347,f687]) ).
fof(f747,plain,
! [X0] :
( ~ theorem(or(X0,sF9))
| theorem(or(X0,sF11)) ),
inference(forward_demodulation,[],[f746,f43]) ).
fof(f752,plain,
! [X0] :
( theorem(or(X0,not(sF13)))
| ~ theorem(or(X0,sF12)) ),
inference(resolution,[],[f349,f687]) ).
fof(f753,plain,
! [X0] :
( ~ theorem(or(X0,sF12))
| theorem(or(X0,sF16)) ),
inference(forward_demodulation,[],[f752,f53]) ).
fof(f822,plain,
theorem(or(not(sF0),sF9)),
inference(superposition,[],[f509,f39]) ).
fof(f823,plain,
theorem(or(not(sF2),sF6)),
inference(superposition,[],[f509,f33]) ).
fof(f833,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f345,f687]) ).
fof(f834,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f833,f37]) ).
fof(f949,plain,
! [X0] :
( ~ theorem(or(X0,sF11))
| theorem(or(X0,sF14)) ),
inference(superposition,[],[f541,f49]) ).
fof(f1031,plain,
theorem(or(not(or(sF3,sF8)),or(sF2,sF9))),
inference(superposition,[],[f212,f39]) ).
fof(f1032,plain,
theorem(or(not(sF12),or(sF2,sF9))),
inference(forward_demodulation,[],[f1031,f45]) ).
fof(f1035,plain,
theorem(or(sF13,or(sF2,sF9))),
inference(forward_demodulation,[],[f1032,f47]) ).
fof(f1172,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f470,f18]) ).
fof(f1363,plain,
theorem(or(not(sF0),sF11)),
inference(resolution,[],[f822,f747]) ).
fof(f1876,plain,
theorem(or(not(or(sF0,sF8)),or(sF5,sF12))),
inference(superposition,[],[f236,f45]) ).
fof(f1877,plain,
theorem(or(not(sF9),or(sF5,sF12))),
inference(forward_demodulation,[],[f1876,f39]) ).
fof(f1880,plain,
theorem(or(sF10,or(sF5,sF12))),
inference(forward_demodulation,[],[f1877,f41]) ).
fof(f1972,plain,
theorem(or(not(sF2),sF8)),
inference(resolution,[],[f823,f834]) ).
fof(f2010,plain,
theorem(or(not(sF8),sF11)),
inference(resolution,[],[f528,f747]) ).
fof(f2115,plain,
theorem(or(not(sF5),sF8)),
inference(resolution,[],[f529,f834]) ).
fof(f2495,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f396,f18]) ).
fof(f2499,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f396,f631]) ).
fof(f2618,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f654,f507]) ).
fof(f2739,plain,
! [X0] :
( theorem(or(X0,sF14))
| ~ theorem(or(sF13,sF11)) ),
inference(superposition,[],[f2618,f49]) ).
fof(f2743,definition,
( spl21_198
<=> theorem(or(sF10,sF16)) ),
introduced(definition,[new_symbols(definition,[spl21_198])],[avatar_definition]) ).
fof(f2744,plain,
( theorem(or(sF10,sF16))
| ~ spl21_198 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f2745,plain,
( ~ theorem(or(sF10,sF16))
| spl21_198 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f2759,definition,
( spl21_202
<=> theorem(or(sF13,sF11)) ),
introduced(definition,[new_symbols(definition,[spl21_202])],[avatar_definition]) ).
fof(f2761,plain,
( ~ theorem(or(sF13,sF11))
| spl21_202 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f2763,definition,
( spl21_203
<=> ! [X0] : theorem(or(X0,sF14)) ),
introduced(definition,[new_symbols(definition,[spl21_203])],[avatar_definition]) ).
fof(f2764,plain,
( ! [X0] : theorem(or(X0,sF14))
| ~ spl21_203 ),
inference(avatar_component_clause,[],[f2763]) ).
fof(f2765,plain,
( ~ spl21_202
| spl21_203 ),
inference(avatar_split_clause,[],[f2739,f2763,f2759]) ).
fof(f2832,definition,
( spl21_214
<=> theorem(or(sF13,sF9)) ),
introduced(definition,[new_symbols(definition,[spl21_214])],[avatar_definition]) ).
fof(f2833,plain,
( theorem(or(sF13,sF9))
| ~ spl21_214 ),
inference(avatar_component_clause,[],[f2832]) ).
fof(f2834,plain,
( ~ theorem(or(sF13,sF9))
| spl21_214 ),
inference(avatar_component_clause,[],[f2832]) ).
fof(f3248,definition,
( spl21_266
<=> theorem(or(sF20,sF17)) ),
introduced(definition,[new_symbols(definition,[spl21_266])],[avatar_definition]) ).
fof(f3249,plain,
( theorem(or(sF20,sF17))
| ~ spl21_266 ),
inference(avatar_component_clause,[],[f3248]) ).
fof(f3250,plain,
( ~ theorem(or(sF20,sF17))
| spl21_266 ),
inference(avatar_component_clause,[],[f3248]) ).
fof(f3638,definition,
( spl21_306
<=> theorem(or(sF10,sF12)) ),
introduced(definition,[new_symbols(definition,[spl21_306])],[avatar_definition]) ).
fof(f3639,plain,
( theorem(or(sF10,sF12))
| ~ spl21_306 ),
inference(avatar_component_clause,[],[f3638]) ).
fof(f3640,plain,
( ~ theorem(or(sF10,sF12))
| spl21_306 ),
inference(avatar_component_clause,[],[f3638]) ).
fof(f3660,definition,
( spl21_310
<=> theorem(or(sF20,sF10)) ),
introduced(definition,[new_symbols(definition,[spl21_310])],[avatar_definition]) ).
fof(f3661,plain,
( theorem(or(sF20,sF10))
| ~ spl21_310 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f3662,plain,
( ~ theorem(or(sF20,sF10))
| spl21_310 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f3907,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(sF18,X1))
| ~ theorem(or(sF16,sF10)) ),
inference(resolution,[],[f671,f507]) ).
fof(f3912,plain,
! [X0,X1] :
( ~ theorem(sF17)
| theorem(or(X0,X1))
| ~ theorem(or(sF18,X1)) ),
inference(forward_demodulation,[],[f3907,f55]) ).
fof(f4358,plain,
theorem(or(not(sF5),sF12)),
inference(resolution,[],[f550,f2115]) ).
fof(f4378,plain,
theorem(or(not(sF2),sF9)),
inference(resolution,[],[f547,f1972]) ).
fof(f4668,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,X0)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f397,f602]) ).
fof(f4873,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f2499,f308]) ).
fof(f4965,plain,
! [X0] :
( theorem(or(not(sF9),or(X0,sF8)))
| ~ theorem(or(X0,p)) ),
inference(superposition,[],[f609,f39]) ).
fof(f5011,plain,
! [X0] :
( theorem(or(sF10,or(X0,sF8)))
| ~ theorem(or(X0,p)) ),
inference(forward_demodulation,[],[f4965,f41]) ).
fof(f5919,plain,
! [X0] :
( theorem(or(X0,or(sF10,sF8)))
| ~ theorem(or(X0,p)) ),
inference(resolution,[],[f5011,f89]) ).
fof(f6205,plain,
theorem(or(not(sF0),sF14)),
inference(resolution,[],[f949,f1363]) ).
fof(f6208,plain,
theorem(or(not(sF8),sF14)),
inference(resolution,[],[f949,f2010]) ).
fof(f6352,plain,
( theorem(or(sF13,sF11))
| ~ spl21_214 ),
inference(resolution,[],[f2833,f747]) ).
fof(f6354,plain,
( $false
| spl21_202
| ~ spl21_214 ),
inference(forward_subsumption_resolution,[],[f6352,f2761]) ).
fof(f6355,plain,
( spl21_202
| ~ spl21_214 ),
inference(avatar_contradiction_clause,[],[f6354]) ).
fof(f6365,plain,
( theorem(sF14)
| ~ spl21_203 ),
inference(resolution,[],[f2764,f632]) ).
fof(f6394,plain,
( $false
| spl21_3
| ~ spl21_203 ),
inference(forward_subsumption_resolution,[],[f6365,f114]) ).
fof(f6395,plain,
( spl21_3
| ~ spl21_203 ),
inference(avatar_contradiction_clause,[],[f6394]) ).
fof(f6405,plain,
( theorem(or(sF18,sF20))
| ~ spl21_4 ),
inference(resolution,[],[f117,f742]) ).
fof(f6442,plain,
( ! [X0] :
( ~ theorem(or(X0,sF17))
| theorem(or(X0,sF20)) )
| ~ spl21_4 ),
inference(resolution,[],[f6405,f352]) ).
fof(f6456,plain,
( theorem(or(sF20,sF20))
| ~ spl21_4
| ~ spl21_266 ),
inference(resolution,[],[f6442,f3249]) ).
fof(f6463,plain,
( theorem(sF20)
| ~ spl21_4
| ~ spl21_266 ),
inference(resolution,[],[f6456,f632]) ).
fof(f6465,plain,
( $false
| ~ spl21_4
| ~ spl21_266 ),
inference(forward_subsumption_resolution,[],[f6463,f62]) ).
fof(f6466,plain,
( ~ spl21_4
| ~ spl21_266 ),
inference(avatar_contradiction_clause,[],[f6465]) ).
fof(f7479,definition,
( spl21_395
<=> ! [X0] :
( theorem(or(X0,or(sF20,sF20)))
| ~ theorem(or(X0,sF9)) ) ),
introduced(definition,[new_symbols(definition,[spl21_395])],[avatar_definition]) ).
fof(f7480,plain,
( ! [X0] :
( theorem(or(X0,or(sF20,sF20)))
| ~ theorem(or(X0,sF9)) )
| ~ spl21_395 ),
inference(avatar_component_clause,[],[f7479]) ).
fof(f8735,definition,
( spl21_414
<=> theorem(or(sF10,sF20)) ),
introduced(definition,[new_symbols(definition,[spl21_414])],[avatar_definition]) ).
fof(f8736,plain,
( theorem(or(sF10,sF20))
| ~ spl21_414 ),
inference(avatar_component_clause,[],[f8735]) ).
fof(f8737,plain,
( ~ theorem(or(sF10,sF20))
| spl21_414 ),
inference(avatar_component_clause,[],[f8735]) ).
fof(f8840,definition,
( spl21_430
<=> theorem(or(sF15,sF20)) ),
introduced(definition,[new_symbols(definition,[spl21_430])],[avatar_definition]) ).
fof(f8841,plain,
( theorem(or(sF15,sF20))
| ~ spl21_430 ),
inference(avatar_component_clause,[],[f8840]) ).
fof(f8842,plain,
( ~ theorem(or(sF15,sF20))
| spl21_430 ),
inference(avatar_component_clause,[],[f8840]) ).
fof(f9263,definition,
( spl21_451
<=> ! [X0] : theorem(or(X0,or(sF15,sF20))) ),
introduced(definition,[new_symbols(definition,[spl21_451])],[avatar_definition]) ).
fof(f9264,plain,
( ! [X0] : theorem(or(X0,or(sF15,sF20)))
| ~ spl21_451 ),
inference(avatar_component_clause,[],[f9263]) ).
fof(f9495,plain,
( theorem(or(sF10,sF16))
| ~ spl21_306 ),
inference(resolution,[],[f3639,f753]) ).
fof(f9497,plain,
( $false
| spl21_198
| ~ spl21_306 ),
inference(forward_subsumption_resolution,[],[f9495,f2745]) ).
fof(f9498,plain,
( spl21_198
| ~ spl21_306 ),
inference(avatar_contradiction_clause,[],[f9497]) ).
fof(f9511,plain,
( ! [X0,X1] :
( ~ theorem(or(sF18,X1))
| theorem(or(X0,X1)) )
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f3912,f105]) ).
fof(f9572,plain,
( ! [X0] :
( ~ theorem(or(X0,sF14))
| theorem(or(X0,sF20)) )
| ~ spl21_430 ),
inference(resolution,[],[f8841,f351]) ).
fof(f9576,plain,
( theorem(or(not(sF0),sF20))
| ~ spl21_430 ),
inference(resolution,[],[f9572,f6205]) ).
fof(f9579,plain,
( theorem(or(not(sF8),sF20))
| ~ spl21_430 ),
inference(resolution,[],[f9572,f6208]) ).
fof(f9594,plain,
( ! [X0] :
( ~ theorem(or(sF0,X0))
| theorem(or(X0,sF20)) )
| ~ spl21_430 ),
inference(resolution,[],[f9576,f2495]) ).
fof(f9600,plain,
( ! [X0] :
( ~ theorem(or(sF8,X0))
| theorem(or(X0,sF20)) )
| ~ spl21_430 ),
inference(resolution,[],[f9579,f2495]) ).
fof(f9607,plain,
( theorem(or(sF20,sF10))
| ~ spl21_414 ),
inference(resolution,[],[f8736,f395]) ).
fof(f9608,plain,
( $false
| spl21_310
| ~ spl21_414 ),
inference(forward_subsumption_resolution,[],[f9607,f3662]) ).
fof(f9609,plain,
( spl21_310
| ~ spl21_414 ),
inference(avatar_contradiction_clause,[],[f9608]) ).
fof(f9700,plain,
( theorem(or(sF20,sF17))
| ~ spl21_310 ),
inference(resolution,[],[f3661,f553]) ).
fof(f9823,plain,
( ! [X0] : theorem(or(X0,or(sF15,sF20)))
| ~ spl21_1 ),
inference(resolution,[],[f9511,f735]) ).
fof(f9871,plain,
( spl21_451
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f9823,f104,f9263]) ).
fof(f9937,plain,
( theorem(or(or(sF10,sF8),sF20))
| ~ theorem(or(sF0,p))
| ~ spl21_430 ),
inference(resolution,[],[f9594,f5919]) ).
fof(f9959,plain,
( theorem(or(or(sF10,sF8),sF20))
| ~ spl21_430 ),
inference(forward_subsumption_resolution,[],[f9937,f688]) ).
fof(f9964,plain,
( theorem(or(sF10,or(sF20,sF8)))
| ~ spl21_430 ),
inference(resolution,[],[f9959,f1172]) ).
fof(f9968,plain,
( theorem(or(sF8,or(sF10,sF20)))
| ~ spl21_430 ),
inference(resolution,[],[f9964,f4668]) ).
fof(f10088,plain,
( theorem(or(or(sF10,sF20),sF20))
| ~ spl21_430 ),
inference(resolution,[],[f9600,f9968]) ).
fof(f10132,plain,
( theorem(or(sF10,or(sF20,sF20)))
| ~ spl21_430 ),
inference(resolution,[],[f10088,f1172]) ).
fof(f10135,plain,
( ! [X0] :
( theorem(or(X0,or(sF20,sF20)))
| ~ theorem(or(X0,sF9)) )
| ~ spl21_430 ),
inference(resolution,[],[f10132,f347]) ).
fof(f10145,plain,
( spl21_395
| ~ spl21_430 ),
inference(avatar_split_clause,[],[f10135,f8840,f7479]) ).
fof(f10227,plain,
( ! [X0] :
( ~ theorem(or(X0,sF9))
| theorem(or(X0,sF20)) )
| ~ spl21_395 ),
inference(resolution,[],[f7480,f631]) ).
fof(f10705,plain,
( theorem(or(sF16,sF10))
| ~ spl21_198 ),
inference(resolution,[],[f2744,f395]) ).
fof(f10706,plain,
( theorem(sF17)
| ~ spl21_198 ),
inference(forward_demodulation,[],[f10705,f55]) ).
fof(f10800,plain,
( $false
| spl21_1
| ~ spl21_198 ),
inference(forward_subsumption_resolution,[],[f10706,f106]) ).
fof(f10801,plain,
( spl21_1
| ~ spl21_198 ),
inference(avatar_contradiction_clause,[],[f10800]) ).
fof(f10815,plain,
( $false
| spl21_266
| ~ spl21_310 ),
inference(forward_subsumption_resolution,[],[f9700,f3250]) ).
fof(f10816,plain,
( spl21_266
| ~ spl21_310 ),
inference(avatar_contradiction_clause,[],[f10815]) ).
fof(f10837,plain,
( theorem(or(not(sF9),sF20))
| ~ spl21_395 ),
inference(resolution,[],[f10227,f643]) ).
fof(f10841,plain,
( theorem(or(sF10,sF20))
| ~ spl21_395 ),
inference(forward_demodulation,[],[f10837,f41]) ).
fof(f10842,plain,
( $false
| ~ spl21_395
| spl21_414 ),
inference(forward_subsumption_resolution,[],[f10841,f8737]) ).
fof(f10843,plain,
( ~ spl21_395
| spl21_414 ),
inference(avatar_contradiction_clause,[],[f10842]) ).
fof(f11275,plain,
( theorem(or(sF15,sF20))
| ~ spl21_451 ),
inference(resolution,[],[f9264,f653]) ).
fof(f11317,plain,
( $false
| spl21_430
| ~ spl21_451 ),
inference(forward_subsumption_resolution,[],[f11275,f8842]) ).
fof(f11318,plain,
( spl21_430
| ~ spl21_451 ),
inference(avatar_contradiction_clause,[],[f11317]) ).
fof(f12569,plain,
( theorem(or(sF10,sF12))
| ~ theorem(or(not(sF5),sF12)) ),
inference(resolution,[],[f4873,f1880]) ).
fof(f12579,plain,
( theorem(or(sF13,sF9))
| ~ theorem(or(not(sF2),sF9)) ),
inference(resolution,[],[f4873,f1035]) ).
fof(f12659,plain,
( ~ theorem(or(not(sF2),sF9))
| spl21_214 ),
inference(forward_subsumption_resolution,[],[f12579,f2834]) ).
fof(f12679,plain,
( ~ theorem(or(not(sF5),sF12))
| spl21_306 ),
inference(forward_subsumption_resolution,[],[f12569,f3640]) ).
fof(f12789,plain,
( $false
| spl21_214 ),
inference(forward_subsumption_resolution,[],[f12659,f4378]) ).
fof(f12790,plain,
spl21_214,
inference(avatar_contradiction_clause,[],[f12789]) ).
fof(f12795,plain,
( $false
| spl21_306 ),
inference(forward_subsumption_resolution,[],[f12679,f4358]) ).
fof(f12796,plain,
spl21_306,
inference(avatar_contradiction_clause,[],[f12795]) ).
cnf(s2,plain,
( ~ spl21_3
| spl21_4 ),
inference(sat_conversion,[],[f118]) ).
cnf(s113,plain,
( ~ spl21_202
| spl21_203 ),
inference(sat_conversion,[],[f2765]) ).
cnf(s255,plain,
( spl21_202
| ~ spl21_214 ),
inference(sat_conversion,[],[f6355]) ).
cnf(s256,plain,
( spl21_3
| ~ spl21_203 ),
inference(sat_conversion,[],[f6395]) ).
cnf(s259,plain,
( ~ spl21_4
| ~ spl21_266 ),
inference(sat_conversion,[],[f6466]) ).
cnf(s338,plain,
( spl21_198
| ~ spl21_306 ),
inference(sat_conversion,[],[f9498]) ).
cnf(s350,plain,
( spl21_310
| ~ spl21_414 ),
inference(sat_conversion,[],[f9609]) ).
cnf(s355,plain,
( ~ spl21_1
| spl21_451 ),
inference(sat_conversion,[],[f9871]) ).
cnf(s358,plain,
( spl21_395
| ~ spl21_430 ),
inference(sat_conversion,[],[f10145]) ).
cnf(s367,plain,
( spl21_1
| ~ spl21_198 ),
inference(sat_conversion,[],[f10801]) ).
cnf(s372,plain,
( spl21_266
| ~ spl21_310 ),
inference(sat_conversion,[],[f10816]) ).
cnf(s373,plain,
( ~ spl21_395
| spl21_414 ),
inference(sat_conversion,[],[f10843]) ).
cnf(s377,plain,
( spl21_430
| ~ spl21_451 ),
inference(sat_conversion,[],[f11318]) ).
cnf(s432,plain,
spl21_214,
inference(sat_conversion,[],[f12790]) ).
cnf(s436,plain,
spl21_306,
inference(sat_conversion,[],[f12796]) ).
cnf(s451,plain,
spl21_198,
inference(rat,[],[s338,s436]) ).
cnf(s452,plain,
spl21_1,
inference(rat,[],[s367,s451]) ).
cnf(s453,plain,
spl21_451,
inference(rat,[],[s355,s452]) ).
cnf(s456,plain,
spl21_430,
inference(rat,[],[s377,s453]) ).
cnf(s459,plain,
spl21_395,
inference(rat,[],[s358,s456]) ).
cnf(s463,plain,
spl21_414,
inference(rat,[],[s373,s459]) ).
cnf(s464,plain,
spl21_310,
inference(rat,[],[s350,s463]) ).
cnf(s465,plain,
spl21_266,
inference(rat,[],[s372,s464]) ).
cnf(s483,plain,
~ spl21_4,
inference(rat,[],[s259,s465]) ).
cnf(s484,plain,
spl21_202,
inference(rat,[],[s255,s432]) ).
cnf(s495,plain,
spl21_203,
inference(rat,[],[s113,s484]) ).
cnf(s497,plain,
spl21_3,
inference(rat,[],[s256,s495]) ).
cnf(s504,plain,
$false,
inference(rat,[],[s2,s483,s497]) ).
fof(f12863,plain,
$false,
inference(avatar_sat_refutation,[],[s504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL336-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n002.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 15:37:36 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 20.96/3.92 % (3688559)Input is clausal, will run a generic CNF schedule.
% 20.96/3.92 % (3688565)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=190720579:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 20.96/3.92 % (3688570)dis-21_1_sil=8000:lcm=predicate:random_seed=4176714868: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)
% 20.96/3.92 % (3688567)lrs+10_1_sil=8000:sp=occurrence:random_seed=77422688:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 20.96/3.92 % (3688569)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3085237323:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 20.96/3.92 % (3688564)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=310625830:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 20.96/3.92 % (3688568)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4077407850:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 20.96/3.92 % (3688566)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=581316354:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 20.96/3.92 % (3688570)Instruction limit reached!
% 20.96/3.92 % (3688570)------------------------------
% 20.96/3.92 % (3688570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.92 % (3688570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.92 % (3688570)CaDiCaL version: 2.1.3
% 20.96/3.92 % (3688570)Termination reason: Instruction limit
% 20.96/3.92 % (3688570)Termination phase: Saturation
% 20.96/3.92 % (3688570)Time elapsed: 0.095 s
% 20.96/3.92 % (3688570)Peak memory usage: 87 MB
% 20.96/3.92 % (3688570)Instructions burned: 117 (million)
% 20.96/3.92 % (3688567)Instruction limit reached!
% 20.96/3.92 % (3688567)------------------------------
% 20.96/3.92 % (3688567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.92 % (3688567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.92 % (3688567)CaDiCaL version: 2.1.3
% 20.96/3.92 % (3688567)Termination reason: Instruction limit
% 20.96/3.92 % (3688567)Termination phase: Saturation
% 20.96/3.92 % (3688567)Time elapsed: 0.111 s
% 20.96/3.92 % (3688567)Peak memory usage: 89 MB
% 20.96/3.92 % (3688567)Instructions burned: 107 (million)
% 20.96/3.92 % (3688568)Instruction limit reached!
% 20.96/3.92 % (3688568)------------------------------
% 20.96/3.92 % (3688568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.92 % (3688568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.92 % (3688568)CaDiCaL version: 2.1.3
% 20.96/3.92 % (3688568)Termination reason: Instruction limit
% 20.96/3.92 % (3688568)Termination phase: Saturation
% 20.96/3.92 % (3688568)Time elapsed: 0.116 s
% 20.96/3.92 % (3688568)Peak memory usage: 88 MB
% 20.96/3.92 % (3688568)Instructions burned: 114 (million)
% 20.96/3.92 % (3688569)Instruction limit reached!
% 20.96/3.92 % (3688569)------------------------------
% 20.96/3.92 % (3688569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.92 % (3688569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.92 % (3688569)CaDiCaL version: 2.1.3
% 20.96/3.92 % (3688569)Termination reason: Instruction limit
% 20.96/3.92 % (3688569)Termination phase: Saturation
% 20.96/3.92 % (3688569)Time elapsed: 0.178 s
% 20.96/3.92 % (3688569)Peak memory usage: 89 MB
% 20.96/3.92 % (3688569)Instructions burned: 180 (million)
% 20.96/3.92 % (3688578)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=1413795717:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 20.96/3.92 % (3688578)Refutation not found, incomplete strategy
% 20.96/3.92 % (3688578)------------------------------
% 20.96/3.92 % (3688578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.92 % (3688578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.92 % (3688578)CaDiCaL version: 2.1.3
% 20.96/3.92 % (3688578)Termination reason: Refutation not found, incomplete strategy
% 20.96/3.92 % (3688578)Time elapsed: 0.002 s
% 20.96/3.92 % (3688578)Peak memory usage: 88 MB
% 20.96/3.92 % (3688579)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=666772112: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)
% 25.98/5.23 % (3688579)Refutation not found, incomplete strategy
% 25.98/5.23 % (3688579)------------------------------
% 25.98/5.23 % (3688579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688579)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688579)Termination reason: Refutation not found, incomplete strategy
% 25.98/5.23 % (3688579)Time elapsed: 0.002 s
% 25.98/5.23 % (3688579)Peak memory usage: 87 MB
% 25.98/5.23 % (3688580)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3784339836:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 25.98/5.23 % (3688580)Refutation not found, incomplete strategy
% 25.98/5.23 % (3688580)------------------------------
% 25.98/5.23 % (3688580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688580)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688580)Termination reason: Refutation not found, incomplete strategy
% 25.98/5.23 % (3688580)Time elapsed: 0.003 s
% 25.98/5.23 % (3688580)Peak memory usage: 88 MB
% 25.98/5.23 % (3688580)Instructions burned: 1 (million)
% 25.98/5.23 % (3688581)lrs+10_64_to=lpo:sil=8000:random_seed=3199707517:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 25.98/5.23 % (3688581)Instruction limit reached!
% 25.98/5.23 % (3688581)------------------------------
% 25.98/5.23 % (3688581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688581)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688581)Termination reason: Instruction limit
% 25.98/5.23 % (3688581)Termination phase: Saturation
% 25.98/5.23 % (3688581)Time elapsed: 0.119 s
% 25.98/5.23 % (3688581)Peak memory usage: 89 MB
% 25.98/5.23 % (3688581)Instructions burned: 127 (million)
% 25.98/5.23 % (3688578)------------------------------
% 25.98/5.23 % (3688578)------------------------------
% 25.98/5.23 % (3688579)------------------------------
% 25.98/5.23 % (3688579)------------------------------
% 25.98/5.23 % (3688580)------------------------------
% 25.98/5.23 % (3688580)------------------------------
% 25.98/5.23 % (3688586)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1798798755:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 25.98/5.23 % (3688587)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1056285609:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 25.98/5.23 % (3688588)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4013747676:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 25.98/5.23 % (3688586)Instruction limit reached!
% 25.98/5.23 % (3688586)------------------------------
% 25.98/5.23 % (3688586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688586)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688586)Termination reason: Instruction limit
% 25.98/5.23 % (3688586)Termination phase: Saturation
% 25.98/5.23 % (3688586)Time elapsed: 0.201 s
% 25.98/5.23 % (3688586)Peak memory usage: 89 MB
% 25.98/5.23 % (3688586)Instructions burned: 195 (million)
% 25.98/5.23 % (3688589)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=2388087539:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 25.98/5.23 % (3688587)Instruction limit reached!
% 25.98/5.23 % (3688587)------------------------------
% 25.98/5.23 % (3688587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688587)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688587)Termination reason: Instruction limit
% 25.98/5.23 % (3688587)Termination phase: Saturation
% 25.98/5.23 % (3688587)Time elapsed: 0.158 s
% 25.98/5.23 % (3688587)Peak memory usage: 91 MB
% 25.98/5.23 % (3688587)Instructions burned: 157 (million)
% 25.98/5.23 % (3688589)Instruction limit reached!
% 25.98/5.23 % (3688589)------------------------------
% 25.98/5.23 % (3688589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688589)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688589)Termination reason: Instruction limit
% 25.98/5.23 % (3688589)Termination phase: Saturation
% 25.98/5.23 % (3688589)Time elapsed: 0.095 s
% 25.98/5.23 % (3688589)Peak memory usage: 88 MB
% 25.98/5.23 % (3688589)Instructions burned: 106 (million)
% 25.98/5.23 % (3688593)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=919393831:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 25.98/5.23 % (3688593)Refutation not found, incomplete strategy
% 25.98/5.23 % (3688593)------------------------------
% 25.98/5.23 % (3688593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688593)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688593)Termination reason: Refutation not found, incomplete strategy
% 25.98/5.23 % (3688593)Time elapsed: 0.002 s
% 25.98/5.23 % (3688593)Peak memory usage: 87 MB
% 25.98/5.23 % (3688595)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=738042496:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 25.98/5.23 % (3688596)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=30195822:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 25.98/5.23 % (3688595)Instruction limit reached!
% 25.98/5.23 % (3688595)------------------------------
% 25.98/5.23 % (3688595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688595)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688595)Termination reason: Instruction limit
% 25.98/5.23 % (3688595)Termination phase: Saturation
% 25.98/5.23 % (3688595)Time elapsed: 0.252 s
% 25.98/5.23 % (3688595)Peak memory usage: 90 MB
% 25.98/5.23 % (3688595)Instructions burned: 242 (million)
% 25.98/5.23 % (3688593)------------------------------
% 25.98/5.23 % (3688593)------------------------------
% 25.98/5.23 % (3688600)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2827634556:i=134:sd=2:doe=on:ss=axioms:sgt=14_2980 on theBenchmark for (2980ds/134Mi)
% 25.98/5.23 % (3688601)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4178682015:i=499:bd=all_2980 on theBenchmark for (2980ds/499Mi)
% 25.98/5.23 % (3688600)Instruction limit reached!
% 25.98/5.23 % (3688600)------------------------------
% 25.98/5.23 % (3688600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688600)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688600)Termination reason: Instruction limit
% 25.98/5.23 % (3688600)Termination phase: Saturation
% 25.98/5.23 % (3688600)Time elapsed: 0.139 s
% 25.98/5.23 % (3688600)Peak memory usage: 89 MB
% 25.98/5.23 % (3688600)Instructions burned: 135 (million)
% 25.98/5.23 % (3688604)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=279955630:i=191:fgj=on:bd=all_2976 on theBenchmark for (2976ds/191Mi)
% 25.98/5.23 % (3688601)Instruction limit reached!
% 25.98/5.23 % (3688601)------------------------------
% 25.98/5.23 % (3688601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688601)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688601)Termination reason: Instruction limit
% 25.98/5.23 % (3688601)Termination phase: Saturation
% 25.98/5.23 % (3688601)Time elapsed: 0.422 s
% 25.98/5.23 % (3688601)Peak memory usage: 93 MB
% 25.98/5.23 % (3688601)Instructions burned: 499 (million)
% 25.98/5.23 % (3688604)Instruction limit reached!
% 25.98/5.23 % (3688604)------------------------------
% 25.98/5.23 % (3688604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688604)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688604)Termination reason: Instruction limit
% 25.98/5.23 % (3688604)Termination phase: Saturation
% 25.98/5.23 % (3688604)Time elapsed: 0.217 s
% 25.98/5.23 % (3688604)Peak memory usage: 93 MB
% 25.98/5.23 % (3688604)Instructions burned: 191 (million)
% 25.98/5.23 % (3688606)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3986363143:i=264:kws=precedence:fsr=off_2972 on theBenchmark for (2972ds/264Mi)
% 25.98/5.23 % (3688608)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2465595109:cond=on:i=156:bs=on:gtg=exists_all:er=known_2971 on theBenchmark for (2971ds/156Mi)
% 25.98/5.23 % (3688606)Instruction limit reached!
% 25.98/5.23 % (3688606)------------------------------
% 25.98/5.23 % (3688606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688606)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688606)Termination reason: Instruction limit
% 25.98/5.23 % (3688606)Termination phase: Saturation
% 25.98/5.23 % (3688606)Time elapsed: 0.238 s
% 25.98/5.23 % (3688606)Peak memory usage: 92 MB
% 25.98/5.23 % (3688606)Instructions burned: 264 (million)
% 25.98/5.23 % (3688608)Instruction limit reached!
% 25.98/5.23 % (3688608)------------------------------
% 25.98/5.23 % (3688608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688608)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688608)Termination reason: Instruction limit
% 25.98/5.23 % (3688608)Termination phase: Saturation
% 25.98/5.23 % (3688608)Time elapsed: 0.145 s
% 25.98/5.23 % (3688608)Peak memory usage: 88 MB
% 25.98/5.23 % (3688608)Instructions burned: 156 (million)
% 25.98/5.23 % (3688612)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=260271700:i=3256:kws=precedence:bd=preordered:av=off_2968 on theBenchmark for (2968ds/3256Mi)
% 25.98/5.23 % (3688613)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4122471133:i=537:av=off:ss=included_2966 on theBenchmark for (2966ds/537Mi)
% 25.98/5.23 % (3688564)First to succeed.
% 25.98/5.23 % (3688564)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3688559"
% 25.98/5.23 % (3688613)Instruction limit reached!
% 25.98/5.23 % (3688613)------------------------------
% 25.98/5.23 % (3688613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/5.23 % (3688613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/5.23 % (3688613)CaDiCaL version: 2.1.3
% 25.98/5.23 % (3688613)Termination reason: Instruction limit
% 25.98/5.23 % (3688613)Termination phase: Saturation
% 25.98/5.23 % (3688613)Time elapsed: 0.445 s
% 25.98/5.23 % (3688613)Peak memory usage: 89 MB
% 25.98/5.23 % (3688613)Instructions burned: 537 (million)
% 25.98/5.23 % (3688564)Refutation found. Thanks to Tanya!
% 25.98/5.23 % SZS status Unsatisfiable for theBenchmark
% 25.98/5.23 % SZS output start Proof for theBenchmark
% See solution above
% 30.84/5.52 % (3688564)------------------------------
% 30.84/5.52 % (3688564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.84/5.52 % (3688564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.84/5.52 % (3688564)CaDiCaL version: 2.1.3
% 30.84/5.52 % (3688564)Termination reason: Refutation
% 30.84/5.52 % (3688564)Time elapsed: 3.505 s
% 30.84/5.52 % (3688564)Peak memory usage: 149 MB
% 30.84/5.52 % (3688564)Instructions burned: 3196 (million)
% 30.84/5.52 % (3688564)------------------------------
% 30.84/5.52 % (3688564)------------------------------
% 30.84/5.52 % (3688559)Success in time 4.235 s
% 30.84/5.52 % Vampire exiting
%------------------------------------------------------------------------------