%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL293-3 : 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 : n015.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 19.78s 4.25s
% Output : Refutation 22.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 38
% Syntax : Number of formulae : 256 ( 102 unt; 27 def)
% Number of atoms : 464 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 409 ( 201 ~; 197 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 190 ( 0 sgn 190 !; 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(not(p),not(q))),or(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(not(p)),not(not(q)))))),or(p,q))),not(or(not(or(p,q)),not(not(or(not(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(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(q),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(q) = 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(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
or(sF1,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 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = or(p,q),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
or(p,q) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = or(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF7,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(sF8),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
not(sF8) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = or(sF11,sF6),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
or(sF11,sF6) = 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(sF10,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
or(sF10,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,plain,
~ theorem(sF15),
inference(definition_folding,[],[f19,f51,f49,f47,f45,f33,f31,f29,f27,f25,f23,f21,f43,f37,f41,f39,f37,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f55,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f58,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f65,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f84,plain,
theorem(or(not(or(q,p)),sF8)),
inference(superposition,[],[f65,f37]) ).
fof(f92,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f55]) ).
fof(f93,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f18,f65]) ).
fof(f105,definition,
( spl16_1
<=> theorem(sF12) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f106,plain,
( theorem(sF12)
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( ~ theorem(sF12)
| spl16_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f58,f18]) ).
fof(f187,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f184,f55]) ).
fof(f200,plain,
! [X0] : theorem(or(not(or(sF11,or(X0,sF6))),or(X0,sF12))),
inference(superposition,[],[f58,f45]) ).
fof(f202,plain,
theorem(or(not(sF12),or(sF6,sF11))),
inference(superposition,[],[f65,f45]) ).
fof(f204,plain,
theorem(or(sF13,or(sF6,sF11))),
inference(forward_demodulation,[],[f202,f47]) ).
fof(f238,plain,
theorem(or(not(sF14),or(sF13,sF10))),
inference(superposition,[],[f65,f49]) ).
fof(f240,plain,
theorem(or(sF15,or(sF13,sF10))),
inference(forward_demodulation,[],[f238,f51]) ).
fof(f274,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f295,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f274,f184]) ).
fof(f308,plain,
theorem(or(not(sF3),sF4)),
inference(superposition,[],[f274,f29]) ).
fof(f309,plain,
theorem(or(not(sF8),sF9)),
inference(superposition,[],[f274,f39]) ).
fof(f313,plain,
theorem(or(sF11,sF9)),
inference(forward_demodulation,[],[f309,f43]) ).
fof(f315,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f92,f18]) ).
fof(f331,plain,
! [X0] :
( theorem(or(not(sF8),or(p,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(superposition,[],[f92,f37]) ).
fof(f345,plain,
! [X0] :
( theorem(or(sF11,or(p,X0)))
| ~ theorem(or(not(q),X0)) ),
inference(forward_demodulation,[],[f331,f43]) ).
fof(f348,plain,
! [X0] :
( theorem(or(sF11,or(p,X0)))
| ~ theorem(or(sF2,X0)) ),
inference(forward_demodulation,[],[f345,f25]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f328,f65]) ).
fof(f351,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f328,f92]) ).
fof(f352,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f328,f58]) ).
fof(f353,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f328,f274]) ).
fof(f354,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f328,f315]) ).
fof(f357,plain,
! [X0,X1] :
( ~ theorem(or(sF1,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF0)) ),
inference(superposition,[],[f328,f23]) ).
fof(f359,plain,
! [X0,X1] :
( ~ theorem(or(sF5,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF4)) ),
inference(superposition,[],[f328,f31]) ).
fof(f362,plain,
! [X0,X1] :
( ~ theorem(or(sF11,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF8)) ),
inference(superposition,[],[f328,f43]) ).
fof(f363,plain,
! [X0,X1] :
( ~ theorem(or(sF10,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF9)) ),
inference(superposition,[],[f328,f41]) ).
fof(f364,plain,
! [X0,X1] :
( ~ theorem(or(sF13,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF12)) ),
inference(superposition,[],[f328,f47]) ).
fof(f369,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f354,f274]) ).
fof(f375,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f350,f274]) ).
fof(f387,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f369,f93]) ).
fof(f402,plain,
theorem(or(p,sF0)),
inference(superposition,[],[f387,f21]) ).
fof(f403,plain,
theorem(or(q,sF2)),
inference(superposition,[],[f387,f25]) ).
fof(f404,plain,
theorem(or(sF0,sF1)),
inference(superposition,[],[f387,f23]) ).
fof(f405,plain,
theorem(or(sF2,sF3)),
inference(superposition,[],[f387,f27]) ).
fof(f408,plain,
theorem(or(sF6,sF7)),
inference(superposition,[],[f387,f35]) ).
fof(f414,plain,
theorem(or(sF13,or(sF15,sF10))),
inference(resolution,[],[f240,f184]) ).
fof(f429,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f351,f65]) ).
fof(f431,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,[],[f351,f58]) ).
fof(f446,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f187,f18]) ).
fof(f481,plain,
theorem(or(sF13,or(sF10,sF15))),
inference(resolution,[],[f414,f350]) ).
fof(f486,plain,
theorem(or(sF10,or(sF13,sF15))),
inference(resolution,[],[f481,f184]) ).
fof(f497,plain,
! [X0,X1] :
( theorem(or(not(or(sF1,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF0)) ),
inference(superposition,[],[f446,f23]) ).
fof(f498,plain,
! [X0,X1] :
( theorem(or(not(or(sF3,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF2)) ),
inference(superposition,[],[f446,f27]) ).
fof(f528,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f429,f18]) ).
fof(f532,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f429,f354]) ).
fof(f583,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f431,f18]) ).
fof(f618,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f352,f65]) ).
fof(f642,plain,
! [X0] :
( theorem(or(X0,or(sF10,sF15)))
| ~ theorem(or(X0,sF12)) ),
inference(resolution,[],[f364,f481]) ).
fof(f667,plain,
theorem(or(not(sF1),sF4)),
inference(superposition,[],[f375,f29]) ).
fof(f668,plain,
theorem(or(not(sF7),sF9)),
inference(superposition,[],[f375,f39]) ).
fof(f689,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f583,f65]) ).
fof(f698,plain,
! [X0,X1] :
( ~ theorem(or(X1,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f583,f315]) ).
fof(f703,plain,
! [X0,X1] :
( ~ theorem(or(not(sF8),X0))
| theorem(or(X1,X0))
| ~ theorem(or(p,or(X1,q))) ),
inference(superposition,[],[f583,f37]) ).
fof(f705,plain,
! [X0,X1] :
( ~ theorem(or(not(sF9),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF7,or(X1,sF8))) ),
inference(superposition,[],[f583,f39]) ).
fof(f707,plain,
! [X0,X1] :
( ~ theorem(or(not(sF12),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF11,or(X1,sF6))) ),
inference(superposition,[],[f583,f45]) ).
fof(f708,plain,
! [X0,X1] :
( ~ theorem(or(sF11,or(X1,sF6)))
| theorem(or(X1,X0))
| ~ theorem(or(sF13,X0)) ),
inference(forward_demodulation,[],[f707,f47]) ).
fof(f710,plain,
! [X0,X1] :
( ~ theorem(or(sF7,or(X1,sF8)))
| theorem(or(X1,X0))
| ~ theorem(or(sF10,X0)) ),
inference(forward_demodulation,[],[f705,f41]) ).
fof(f712,plain,
! [X0,X1] :
( ~ theorem(or(p,or(X1,q)))
| theorem(or(X1,X0))
| ~ theorem(or(sF11,X0)) ),
inference(forward_demodulation,[],[f703,f43]) ).
fof(f726,plain,
! [X0] :
( theorem(or(X0,not(sF5)))
| ~ theorem(or(X0,sF4)) ),
inference(resolution,[],[f359,f387]) ).
fof(f729,plain,
! [X0] :
( ~ theorem(or(X0,sF4))
| theorem(or(X0,sF6)) ),
inference(forward_demodulation,[],[f726,f33]) ).
fof(f779,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f528,f387]) ).
fof(f834,plain,
! [X0] :
( ~ theorem(or(not(X0),sF12))
| theorem(or(sF10,sF15))
| ~ theorem(X0) ),
inference(resolution,[],[f642,f18]) ).
fof(f874,definition,
( spl16_36
<=> theorem(or(sF6,sF12)) ),
introduced(definition,[new_symbols(definition,[spl16_36])],[avatar_definition]) ).
fof(f875,plain,
( theorem(or(sF6,sF12))
| ~ spl16_36 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f876,plain,
( ~ theorem(or(sF6,sF12))
| spl16_36 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f898,definition,
( spl16_42
<=> theorem(or(sF1,sF12)) ),
introduced(definition,[new_symbols(definition,[spl16_42])],[avatar_definition]) ).
fof(f899,plain,
( theorem(or(sF1,sF12))
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f900,plain,
( ~ theorem(or(sF1,sF12))
| spl16_42 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f903,definition,
( spl16_43
<=> theorem(or(sF10,sF15)) ),
introduced(definition,[new_symbols(definition,[spl16_43])],[avatar_definition]) ).
fof(f905,plain,
( theorem(or(sF10,sF15))
| ~ spl16_43 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f907,definition,
( spl16_44
<=> ! [X0] :
( ~ theorem(or(not(X0),sF12))
| ~ theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_44])],[avatar_definition]) ).
fof(f908,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF12))
| ~ theorem(X0) )
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f909,plain,
( spl16_43
| spl16_44 ),
inference(avatar_split_clause,[],[f834,f907,f903]) ).
fof(f915,plain,
( ! [X0] :
( ~ theorem(or(X0,sF9))
| theorem(or(X0,sF15)) )
| ~ spl16_43 ),
inference(resolution,[],[f905,f363]) ).
fof(f919,plain,
( theorem(or(sF11,sF15))
| ~ spl16_43 ),
inference(resolution,[],[f915,f313]) ).
fof(f977,plain,
! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f532,f18]) ).
fof(f978,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f532,f583]) ).
fof(f1204,definition,
( spl16_64
<=> theorem(or(sF2,sF6)) ),
introduced(definition,[new_symbols(definition,[spl16_64])],[avatar_definition]) ).
fof(f1205,plain,
( theorem(or(sF2,sF6))
| ~ spl16_64 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1206,plain,
( ~ theorem(or(sF2,sF6))
| spl16_64 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1222,plain,
theorem(or(not(sF3),sF6)),
inference(resolution,[],[f308,f729]) ).
fof(f1226,plain,
! [X0] :
( ~ theorem(or(X0,sF3))
| theorem(or(X0,sF6)) ),
inference(resolution,[],[f1222,f328]) ).
fof(f1299,definition,
( spl16_67
<=> theorem(or(sF0,sF6)) ),
introduced(definition,[new_symbols(definition,[spl16_67])],[avatar_definition]) ).
fof(f1300,plain,
( theorem(or(sF0,sF6))
| ~ spl16_67 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1301,plain,
( ~ theorem(or(sF0,sF6))
| spl16_67 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1380,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(sF13,X1))
| ~ theorem(or(sF11,sF6)) ),
inference(resolution,[],[f708,f353]) ).
fof(f1385,plain,
! [X0,X1] :
( ~ theorem(sF12)
| theorem(or(X0,X1))
| ~ theorem(or(sF13,X1)) ),
inference(forward_demodulation,[],[f1380,f45]) ).
fof(f1457,plain,
! [X0] :
( theorem(or(X0,not(sF0)))
| ~ theorem(or(p,X0)) ),
inference(superposition,[],[f779,f21]) ).
fof(f1471,plain,
! [X0] :
( ~ theorem(or(p,X0))
| theorem(or(X0,sF1)) ),
inference(forward_demodulation,[],[f1457,f23]) ).
fof(f1523,definition,
( spl16_71
<=> theorem(or(p,sF12)) ),
introduced(definition,[new_symbols(definition,[spl16_71])],[avatar_definition]) ).
fof(f1524,plain,
( theorem(or(p,sF12))
| ~ spl16_71 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f1525,plain,
( ~ theorem(or(p,sF12))
| spl16_71 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f1601,plain,
theorem(or(not(sF1),sF6)),
inference(resolution,[],[f667,f729]) ).
fof(f1605,plain,
! [X0] :
( ~ theorem(or(X0,sF1))
| theorem(or(X0,sF6)) ),
inference(resolution,[],[f1601,f328]) ).
fof(f1655,plain,
( theorem(or(not(sF7),sF15))
| ~ spl16_43 ),
inference(resolution,[],[f668,f915]) ).
fof(f1659,plain,
( ! [X0] :
( ~ theorem(or(X0,sF7))
| theorem(or(X0,sF15)) )
| ~ spl16_43 ),
inference(resolution,[],[f1655,f328]) ).
fof(f1767,plain,
( theorem(or(sF6,sF15))
| ~ spl16_43 ),
inference(resolution,[],[f408,f1659]) ).
fof(f1824,plain,
! [X0] :
( ~ theorem(or(sF11,or(X0,sF6)))
| theorem(or(X0,sF12)) ),
inference(resolution,[],[f200,f18]) ).
fof(f1833,plain,
( theorem(or(p,sF12))
| ~ theorem(or(sF2,sF6)) ),
inference(resolution,[],[f1824,f348]) ).
fof(f1877,plain,
( ~ theorem(or(sF6,sF12))
| theorem(sF12) ),
inference(superposition,[],[f698,f45]) ).
fof(f2129,definition,
( spl16_105
<=> ! [X0] : theorem(or(X0,sF12)) ),
introduced(definition,[new_symbols(definition,[spl16_105])],[avatar_definition]) ).
fof(f2130,plain,
( ! [X0] : theorem(or(X0,sF12))
| ~ spl16_105 ),
inference(avatar_component_clause,[],[f2129]) ).
fof(f2246,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f618,f18]) ).
fof(f2855,plain,
theorem(or(sF0,sF6)),
inference(resolution,[],[f404,f1605]) ).
fof(f2858,plain,
( $false
| spl16_67 ),
inference(forward_subsumption_resolution,[],[f2855,f1301]) ).
fof(f2859,plain,
spl16_67,
inference(avatar_contradiction_clause,[],[f2858]) ).
fof(f2862,plain,
( theorem(or(sF6,sF0))
| ~ spl16_67 ),
inference(resolution,[],[f1300,f93]) ).
fof(f2876,plain,
theorem(or(sF2,sF6)),
inference(resolution,[],[f405,f1226]) ).
fof(f2878,plain,
( $false
| spl16_64 ),
inference(forward_subsumption_resolution,[],[f2876,f1206]) ).
fof(f2879,plain,
spl16_64,
inference(avatar_contradiction_clause,[],[f2878]) ).
fof(f2881,plain,
( ~ theorem(or(sF2,sF6))
| spl16_71 ),
inference(forward_subsumption_resolution,[],[f1833,f1525]) ).
fof(f2882,plain,
( $false
| ~ spl16_64
| spl16_71 ),
inference(forward_subsumption_resolution,[],[f2881,f1205]) ).
fof(f2883,plain,
( ~ spl16_64
| spl16_71 ),
inference(avatar_contradiction_clause,[],[f2882]) ).
fof(f2939,plain,
( theorem(or(sF12,sF1))
| ~ spl16_71 ),
inference(resolution,[],[f1524,f1471]) ).
fof(f2944,plain,
( theorem(or(sF1,sF12))
| ~ spl16_71 ),
inference(resolution,[],[f2939,f93]) ).
fof(f2945,plain,
( $false
| spl16_42
| ~ spl16_71 ),
inference(forward_subsumption_resolution,[],[f2944,f900]) ).
fof(f2946,plain,
( spl16_42
| ~ spl16_71 ),
inference(avatar_contradiction_clause,[],[f2945]) ).
fof(f2947,plain,
( ! [X0] :
( ~ theorem(or(X0,sF0))
| theorem(or(X0,sF12)) )
| ~ spl16_42 ),
inference(resolution,[],[f899,f357]) ).
fof(f2954,plain,
( theorem(or(sF6,sF12))
| ~ spl16_42
| ~ spl16_67 ),
inference(resolution,[],[f2947,f2862]) ).
fof(f2955,plain,
( $false
| spl16_36
| ~ spl16_42
| ~ spl16_67 ),
inference(forward_subsumption_resolution,[],[f2954,f876]) ).
fof(f2956,plain,
( spl16_36
| ~ spl16_42
| ~ spl16_67 ),
inference(avatar_contradiction_clause,[],[f2955]) ).
fof(f2958,plain,
( theorem(sF12)
| ~ spl16_36 ),
inference(forward_subsumption_resolution,[],[f1877,f875]) ).
fof(f2959,plain,
( $false
| spl16_1
| ~ spl16_36 ),
inference(forward_subsumption_resolution,[],[f2958,f107]) ).
fof(f2960,plain,
( spl16_1
| ~ spl16_36 ),
inference(avatar_contradiction_clause,[],[f2959]) ).
fof(f2964,plain,
( ! [X0,X1] :
( ~ theorem(or(sF13,X1))
| theorem(or(X0,X1)) )
| ~ spl16_1 ),
inference(forward_subsumption_resolution,[],[f1385,f106]) ).
fof(f2998,plain,
( ! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF15)) )
| ~ spl16_43 ),
inference(resolution,[],[f919,f362]) ).
fof(f3113,plain,
( ! [X0] : theorem(or(X0,or(sF6,sF11)))
| ~ spl16_1 ),
inference(resolution,[],[f2964,f204]) ).
fof(f3142,plain,
( ! [X0] : theorem(or(X0,or(sF11,sF6)))
| ~ spl16_1 ),
inference(resolution,[],[f3113,f350]) ).
fof(f3172,plain,
( ! [X0] : theorem(or(X0,sF12))
| ~ spl16_1 ),
inference(forward_demodulation,[],[f3142,f45]) ).
fof(f3173,plain,
( spl16_105
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f3172,f105,f2129]) ).
fof(f3526,plain,
! [X0] :
( theorem(or(not(sF8),X0))
| ~ theorem(or(sF10,X0)) ),
inference(resolution,[],[f710,f295]) ).
fof(f3530,plain,
! [X0] :
( ~ theorem(or(sF10,X0))
| theorem(or(sF11,X0)) ),
inference(forward_demodulation,[],[f3526,f43]) ).
fof(f3536,plain,
theorem(or(sF11,or(sF13,sF15))),
inference(resolution,[],[f3530,f486]) ).
fof(f3558,plain,
theorem(or(sF11,or(sF15,sF13))),
inference(resolution,[],[f3536,f350]) ).
fof(f4238,plain,
! [X0] :
( theorem(or(not(sF4),or(X0,sF3)))
| ~ theorem(or(X0,sF0)) ),
inference(superposition,[],[f497,f29]) ).
fof(f4263,plain,
! [X0] :
( theorem(or(sF5,or(X0,sF3)))
| ~ theorem(or(X0,sF0)) ),
inference(forward_demodulation,[],[f4238,f31]) ).
fof(f4270,plain,
! [X0] :
( theorem(or(X0,or(sF5,sF3)))
| ~ theorem(or(X0,sF0)) ),
inference(resolution,[],[f4263,f184]) ).
fof(f5008,plain,
! [X0] :
( theorem(or(not(q),X0))
| ~ theorem(or(sF11,X0)) ),
inference(resolution,[],[f712,f295]) ).
fof(f5013,plain,
! [X0] :
( ~ theorem(or(sF11,X0))
| theorem(or(sF2,X0)) ),
inference(forward_demodulation,[],[f5008,f25]) ).
fof(f5114,plain,
theorem(or(sF2,or(sF15,sF13))),
inference(resolution,[],[f5013,f3558]) ).
fof(f5153,definition,
( spl16_285
<=> theorem(or(sF3,sF15)) ),
introduced(definition,[new_symbols(definition,[spl16_285])],[avatar_definition]) ).
fof(f5154,plain,
( theorem(or(sF3,sF15))
| ~ spl16_285 ),
inference(avatar_component_clause,[],[f5153]) ).
fof(f5155,plain,
( ~ theorem(or(sF3,sF15))
| spl16_285 ),
inference(avatar_component_clause,[],[f5153]) ).
fof(f5884,plain,
( ! [X0] : ~ theorem(X0)
| ~ spl16_44
| ~ spl16_105 ),
inference(resolution,[],[f908,f2130]) ).
fof(f5901,plain,
theorem(or(sF15,or(sF2,sF13))),
inference(resolution,[],[f5114,f184]) ).
fof(f5905,plain,
( $false
| ~ spl16_44
| ~ spl16_105 ),
inference(forward_subsumption_resolution,[],[f5901,f5884]) ).
fof(f5906,plain,
( ~ spl16_44
| ~ spl16_105 ),
inference(avatar_contradiction_clause,[],[f5905]) ).
fof(f6065,plain,
( theorem(or(not(or(q,p)),sF15))
| ~ spl16_43 ),
inference(resolution,[],[f84,f2998]) ).
fof(f6074,plain,
( ! [X0] :
( ~ theorem(or(X0,or(q,p)))
| theorem(or(X0,sF15)) )
| ~ spl16_43 ),
inference(resolution,[],[f6065,f328]) ).
fof(f6077,plain,
( ! [X0] :
( ~ theorem(or(q,or(X0,p)))
| theorem(or(X0,sF15)) )
| ~ spl16_43 ),
inference(resolution,[],[f6065,f583]) ).
fof(f6085,plain,
( theorem(or(not(or(sF3,p)),sF15))
| ~ theorem(or(q,sF2))
| ~ spl16_43 ),
inference(resolution,[],[f6074,f498]) ).
fof(f6113,plain,
( theorem(or(not(or(sF3,p)),sF15))
| ~ spl16_43 ),
inference(forward_subsumption_resolution,[],[f6085,f403]) ).
fof(f6151,plain,
( ! [X0] :
( ~ theorem(or(X0,or(sF3,p)))
| theorem(or(X0,sF15)) )
| ~ spl16_43 ),
inference(resolution,[],[f6113,f328]) ).
fof(f6176,plain,
( theorem(or(not(sF3),sF15))
| ~ spl16_43 ),
inference(resolution,[],[f6151,f375]) ).
fof(f6188,plain,
( theorem(sF15)
| ~ theorem(or(sF3,sF15))
| ~ spl16_43 ),
inference(resolution,[],[f6176,f977]) ).
fof(f6406,definition,
( spl16_306
<=> theorem(or(or(sF5,sF3),sF15)) ),
introduced(definition,[new_symbols(definition,[spl16_306])],[avatar_definition]) ).
fof(f6408,plain,
( theorem(or(or(sF5,sF3),sF15))
| ~ spl16_306 ),
inference(avatar_component_clause,[],[f6406]) ).
fof(f6577,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f689,f353]) ).
fof(f6743,plain,
( ! [X0] :
( ~ theorem(or(p,X0))
| theorem(or(X0,sF15)) )
| ~ spl16_43 ),
inference(resolution,[],[f6577,f6077]) ).
fof(f6816,plain,
( theorem(or(or(sF5,sF3),sF15))
| ~ theorem(or(p,sF0))
| ~ spl16_43 ),
inference(resolution,[],[f6743,f4270]) ).
fof(f6837,plain,
( theorem(or(or(sF5,sF3),sF15))
| ~ spl16_43 ),
inference(forward_subsumption_resolution,[],[f6816,f402]) ).
fof(f6840,plain,
( spl16_306
| ~ spl16_43 ),
inference(avatar_split_clause,[],[f6837,f903,f6406]) ).
fof(f6841,plain,
( theorem(or(sF5,or(sF15,sF3)))
| ~ spl16_306 ),
inference(resolution,[],[f6408,f2246]) ).
fof(f6848,plain,
( theorem(or(sF5,or(sF3,sF15)))
| ~ spl16_306 ),
inference(resolution,[],[f6841,f350]) ).
fof(f6855,plain,
( theorem(or(sF3,sF15))
| ~ theorem(or(not(sF5),sF15))
| ~ spl16_306 ),
inference(resolution,[],[f6848,f978]) ).
fof(f6860,plain,
( ~ theorem(or(not(sF5),sF15))
| spl16_285
| ~ spl16_306 ),
inference(forward_subsumption_resolution,[],[f6855,f5155]) ).
fof(f6861,plain,
( ~ theorem(or(sF6,sF15))
| spl16_285
| ~ spl16_306 ),
inference(forward_demodulation,[],[f6860,f33]) ).
fof(f6862,plain,
( $false
| ~ spl16_43
| spl16_285
| ~ spl16_306 ),
inference(forward_subsumption_resolution,[],[f6861,f1767]) ).
fof(f6863,plain,
( ~ spl16_43
| spl16_285
| ~ spl16_306 ),
inference(avatar_contradiction_clause,[],[f6862]) ).
fof(f6865,plain,
( ~ theorem(or(sF3,sF15))
| ~ spl16_43 ),
inference(forward_subsumption_resolution,[],[f6188,f52]) ).
fof(f6868,plain,
( $false
| ~ spl16_43
| ~ spl16_285 ),
inference(forward_subsumption_resolution,[],[f6865,f5154]) ).
fof(f6869,plain,
( ~ spl16_43
| ~ spl16_285 ),
inference(avatar_contradiction_clause,[],[f6868]) ).
cnf(s22,plain,
( spl16_43
| spl16_44 ),
inference(sat_conversion,[],[f909]) ).
cnf(s127,plain,
spl16_67,
inference(sat_conversion,[],[f2859]) ).
cnf(s128,plain,
spl16_64,
inference(sat_conversion,[],[f2879]) ).
cnf(s129,plain,
( ~ spl16_64
| spl16_71 ),
inference(sat_conversion,[],[f2883]) ).
cnf(s134,plain,
( spl16_42
| ~ spl16_71 ),
inference(sat_conversion,[],[f2946]) ).
cnf(s135,plain,
( spl16_36
| ~ spl16_42
| ~ spl16_67 ),
inference(sat_conversion,[],[f2956]) ).
cnf(s136,plain,
( spl16_1
| ~ spl16_36 ),
inference(sat_conversion,[],[f2960]) ).
cnf(s148,plain,
( ~ spl16_1
| spl16_105 ),
inference(sat_conversion,[],[f3173]) ).
cnf(s267,plain,
( ~ spl16_44
| ~ spl16_105 ),
inference(sat_conversion,[],[f5906]) ).
cnf(s301,plain,
( ~ spl16_43
| spl16_306 ),
inference(sat_conversion,[],[f6840]) ).
cnf(s302,plain,
( ~ spl16_43
| spl16_285
| ~ spl16_306 ),
inference(sat_conversion,[],[f6863]) ).
cnf(s304,plain,
( ~ spl16_43
| ~ spl16_285 ),
inference(sat_conversion,[],[f6869]) ).
cnf(s307,plain,
spl16_71,
inference(rat,[],[s129,s128]) ).
cnf(s308,plain,
spl16_42,
inference(rat,[],[s134,s307]) ).
cnf(s309,plain,
spl16_36,
inference(rat,[],[s135,s308,s127]) ).
cnf(s310,plain,
spl16_1,
inference(rat,[],[s136,s309]) ).
cnf(s311,plain,
spl16_105,
inference(rat,[],[s148,s310]) ).
cnf(s315,plain,
~ spl16_44,
inference(rat,[],[s267,s311]) ).
cnf(s319,plain,
spl16_43,
inference(rat,[],[s22,s315]) ).
cnf(s320,plain,
~ spl16_285,
inference(rat,[],[s304,s319]) ).
cnf(s321,plain,
spl16_306,
inference(rat,[],[s301,s319]) ).
cnf(s327,plain,
$false,
inference(rat,[],[s302,s319,s321,s320]) ).
fof(f6870,plain,
$false,
inference(avatar_sat_refutation,[],[s327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL293-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n015.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 15:36:46 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 19.17/3.97 % (1795894)Input is clausal, will run a generic CNF schedule.
% 19.17/3.97 % (1795903)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1083990182:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 19.17/3.97 % (1795900)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2196955947:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 19.17/3.97 % (1795899)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=1023513498:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 19.17/3.97 % (1795903)Instruction limit reached!
% 19.17/3.97 % (1795903)------------------------------
% 19.17/3.97 % (1795903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.97 % (1795903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.97 % (1795903)CaDiCaL version: 2.1.3
% 19.17/3.97 % (1795903)Termination reason: Instruction limit
% 19.17/3.97 % (1795903)Termination phase: Saturation
% 19.17/3.97 % (1795903)Time elapsed: 0.057 s
% 19.17/3.97 % (1795903)Peak memory usage: 89 MB
% 19.17/3.97 % (1795903)Instructions burned: 116 (million)
% 19.17/3.97 % (1795901)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3772664816:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 19.17/3.97 % (1795902)lrs+10_1_sil=8000:sp=occurrence:random_seed=431808847:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 19.17/3.97 % (1795904)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=519500617:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 19.17/3.97 % (1795905)dis-21_1_sil=8000:lcm=predicate:random_seed=3434707817: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)
% 19.17/3.97 % (1795905)Instruction limit reached!
% 19.17/3.97 % (1795905)------------------------------
% 19.17/3.97 % (1795905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.97 % (1795905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.97 % (1795905)CaDiCaL version: 2.1.3
% 19.17/3.97 % (1795905)Termination reason: Instruction limit
% 19.17/3.97 % (1795905)Termination phase: Saturation
% 19.17/3.97 % (1795905)Time elapsed: 0.093 s
% 19.17/3.97 % (1795905)Peak memory usage: 87 MB
% 19.17/3.97 % (1795905)Instructions burned: 118 (million)
% 19.17/3.97 % (1795902)Instruction limit reached!
% 19.17/3.97 % (1795902)------------------------------
% 19.17/3.97 % (1795902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.97 % (1795902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.97 % (1795902)CaDiCaL version: 2.1.3
% 19.17/3.97 % (1795902)Termination reason: Instruction limit
% 19.17/3.97 % (1795902)Termination phase: Saturation
% 19.17/3.97 % (1795902)Time elapsed: 0.106 s
% 19.17/3.97 % (1795902)Peak memory usage: 89 MB
% 19.17/3.97 % (1795902)Instructions burned: 107 (million)
% 19.17/3.97 % (1795904)Instruction limit reached!
% 19.17/3.97 % (1795904)------------------------------
% 19.17/3.97 % (1795904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.97 % (1795904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.97 % (1795904)CaDiCaL version: 2.1.3
% 19.17/3.97 % (1795904)Termination reason: Instruction limit
% 19.17/3.97 % (1795904)Termination phase: Saturation
% 19.17/3.97 % (1795904)Time elapsed: 0.173 s
% 19.17/3.97 % (1795904)Peak memory usage: 89 MB
% 19.17/3.97 % (1795904)Instructions burned: 181 (million)
% 19.17/3.97 % (1795909)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=2302040481:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 19.17/3.97 % (1795909)Refutation not found, incomplete strategy
% 19.17/3.97 % (1795909)------------------------------
% 19.17/3.97 % (1795909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/3.97 % (1795909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/3.97 % (1795909)CaDiCaL version: 2.1.3
% 19.17/3.97 % (1795909)Termination reason: Refutation not found, incomplete strategy
% 19.17/3.97 % (1795909)Time elapsed: 0.002 s
% 19.17/3.97 % (1795909)Peak memory usage: 88 MB
% 19.17/3.97 % (1795914)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2693639981: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)
% 19.78/4.25 % (1795915)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2810557285:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 19.78/4.25 % (1795914)Refutation not found, incomplete strategy
% 19.78/4.25 % (1795914)------------------------------
% 19.78/4.25 % (1795914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795914)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795914)Termination reason: Refutation not found, incomplete strategy
% 19.78/4.25 % (1795914)Time elapsed: 0.002 s
% 19.78/4.25 % (1795914)Peak memory usage: 87 MB
% 19.78/4.25 % (1795915)Refutation not found, incomplete strategy
% 19.78/4.25 % (1795915)------------------------------
% 19.78/4.25 % (1795915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795915)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795915)Termination reason: Refutation not found, incomplete strategy
% 19.78/4.25 % (1795915)Time elapsed: 0.002 s
% 19.78/4.25 % (1795915)Peak memory usage: 88 MB
% 19.78/4.25 % (1795915)Instructions burned: 1 (million)
% 19.78/4.25 % (1795916)lrs+10_64_to=lpo:sil=8000:random_seed=4210353513:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 19.78/4.25 % (1795909)------------------------------
% 19.78/4.25 % (1795909)------------------------------
% 19.78/4.25 % (1795916)Instruction limit reached!
% 19.78/4.25 % (1795916)------------------------------
% 19.78/4.25 % (1795916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795916)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795916)Termination reason: Instruction limit
% 19.78/4.25 % (1795916)Termination phase: Saturation
% 19.78/4.25 % (1795916)Time elapsed: 0.120 s
% 19.78/4.25 % (1795916)Peak memory usage: 89 MB
% 19.78/4.25 % (1795916)Instructions burned: 126 (million)
% 19.78/4.25 % (1795915)------------------------------
% 19.78/4.25 % (1795915)------------------------------
% 19.78/4.25 % (1795921)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2322953395:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 19.78/4.25 % (1795914)------------------------------
% 19.78/4.25 % (1795914)------------------------------
% 19.78/4.25 % (1795921)Instruction limit reached!
% 19.78/4.25 % (1795921)------------------------------
% 19.78/4.25 % (1795921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795921)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795921)Termination reason: Instruction limit
% 19.78/4.25 % (1795921)Termination phase: Saturation
% 19.78/4.25 % (1795921)Time elapsed: 0.107 s
% 19.78/4.25 % (1795921)Peak memory usage: 90 MB
% 19.78/4.25 % (1795921)Instructions burned: 195 (million)
% 19.78/4.25 % (1795922)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=593157895:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 19.78/4.25 % (1795924)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4247231965:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 19.78/4.25 % (1795922)Instruction limit reached!
% 19.78/4.25 % (1795922)------------------------------
% 19.78/4.25 % (1795922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795922)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795922)Termination reason: Instruction limit
% 19.78/4.25 % (1795922)Termination phase: Saturation
% 19.78/4.25 % (1795922)Time elapsed: 0.172 s
% 19.78/4.25 % (1795922)Peak memory usage: 91 MB
% 19.78/4.25 % (1795922)Instructions burned: 157 (million)
% 19.78/4.25 % (1795925)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=810889987:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 19.78/4.25 % (1795926)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2824187721:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 19.78/4.25 % (1795926)Refutation not found, incomplete strategy
% 19.78/4.25 % (1795926)------------------------------
% 19.78/4.25 % (1795926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795926)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795926)Termination reason: Refutation not found, incomplete strategy
% 19.78/4.25 % (1795926)Time elapsed: 0.002 s
% 19.78/4.25 % (1795926)Peak memory usage: 87 MB
% 19.78/4.25 % (1795925)Instruction limit reached!
% 19.78/4.25 % (1795925)------------------------------
% 19.78/4.25 % (1795925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795925)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795925)Termination reason: Instruction limit
% 19.78/4.25 % (1795925)Termination phase: Saturation
% 19.78/4.25 % (1795925)Time elapsed: 0.099 s
% 19.78/4.25 % (1795925)Peak memory usage: 89 MB
% 19.78/4.25 % (1795925)Instructions burned: 106 (million)
% 19.78/4.25 % (1795930)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4242748513:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 19.78/4.25 % (1795932)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2129830726:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 19.78/4.25 % (1795926)------------------------------
% 19.78/4.25 % (1795926)------------------------------
% 19.78/4.25 % (1795930)Instruction limit reached!
% 19.78/4.25 % (1795930)------------------------------
% 19.78/4.25 % (1795930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795930)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795930)Termination reason: Instruction limit
% 19.78/4.25 % (1795930)Termination phase: Saturation
% 19.78/4.25 % (1795930)Time elapsed: 0.221 s
% 19.78/4.25 % (1795930)Peak memory usage: 91 MB
% 19.78/4.25 % (1795930)Instructions burned: 243 (million)
% 19.78/4.25 % (1795935)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2231506381:i=134:sd=2:doe=on:ss=axioms:sgt=14_2981 on theBenchmark for (2981ds/134Mi)
% 19.78/4.25 % (1795936)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2753756442:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 19.78/4.25 % (1795935)Instruction limit reached!
% 19.78/4.25 % (1795935)------------------------------
% 19.78/4.25 % (1795935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795935)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795935)Termination reason: Instruction limit
% 19.78/4.25 % (1795935)Termination phase: Saturation
% 19.78/4.25 % (1795935)Time elapsed: 0.133 s
% 19.78/4.25 % (1795935)Peak memory usage: 90 MB
% 19.78/4.25 % (1795935)Instructions burned: 134 (million)
% 19.78/4.25 % (1795939)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2609521853:i=191:fgj=on:bd=all_2977 on theBenchmark for (2977ds/191Mi)
% 19.78/4.25 % (1795899)First to succeed.
% 19.78/4.25 % (1795924)Also succeeded, but the first one will report.
% 19.78/4.25 % (1795899)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1795894"
% 19.78/4.25 % (1795936)Instruction limit reached!
% 19.78/4.25 % (1795936)------------------------------
% 19.78/4.25 % (1795936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795936)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795936)Termination reason: Instruction limit
% 19.78/4.25 % (1795936)Termination phase: Saturation
% 19.78/4.25 % (1795936)Time elapsed: 0.467 s
% 19.78/4.25 % (1795936)Peak memory usage: 94 MB
% 19.78/4.25 % (1795936)Instructions burned: 500 (million)
% 19.78/4.25 % (1795939)Instruction limit reached!
% 19.78/4.25 % (1795939)------------------------------
% 19.78/4.25 % (1795939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.78/4.25 % (1795939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/4.25 % (1795939)CaDiCaL version: 2.1.3
% 19.78/4.25 % (1795939)Termination reason: Instruction limit
% 19.78/4.25 % (1795939)Termination phase: Saturation
% 19.78/4.25 % (1795939)Time elapsed: 0.208 s
% 19.78/4.25 % (1795939)Peak memory usage: 93 MB
% 19.78/4.25 % (1795939)Instructions burned: 191 (million)
% 19.78/4.25 % (1795941)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1336798834:i=264:kws=precedence:fsr=off_2973 on theBenchmark for (2973ds/264Mi)
% 19.78/4.25 % (1795899)Refutation found. Thanks to Tanya!
% 19.78/4.25 % SZS status Unsatisfiable for theBenchmark
% 19.78/4.25 % SZS output start Proof for theBenchmark
% See solution above
% 22.20/4.44 % (1795899)------------------------------
% 22.20/4.44 % (1795899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.20/4.44 % (1795899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.20/4.44 % (1795899)CaDiCaL version: 2.1.3
% 22.20/4.44 % (1795899)Termination reason: Refutation
% 22.20/4.44 % (1795899)Time elapsed: 2.320 s
% 22.20/4.44 % (1795899)Peak memory usage: 139 MB
% 22.20/4.44 % (1795899)Instructions burned: 2123 (million)
% 22.20/4.44 % (1795899)------------------------------
% 22.20/4.44 % (1795899)------------------------------
% 22.20/4.44 % (1795894)Success in time 3.028 s
% 22.20/4.44 % Vampire exiting
%------------------------------------------------------------------------------