%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL344-3 : 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 : n001.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 11:52:02 AM UTC 2026
% Result : Unsatisfiable 14.42s 3.64s
% Output : Refutation 17.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 35
% Syntax : Number of formulae : 188 ( 97 unt; 24 def)
% Number of atoms : 307 ( 40 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 234 ( 115 ~; 113 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 20 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 137 !; 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(or(equivalent(and(p,q),p),equivalent(and(p,q),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(or(not(or(not(or(not(not(or(not(p),not(q)))),p)),not(or(not(p),not(or(not(p),not(q))))))),not(or(not(or(not(not(or(not(p),not(q)))),q)),not(or(not(q),not(or(not(p),not(q))))))))),
inference(definition_unfolding,[],[f11,f12,f9,f12,f9]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = not(q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
not(q) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = or(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
or(sF0,sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = not(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
not(sF2) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = or(sF4,p),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
or(sF4,p) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = not(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
not(sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = or(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
or(sF0,sF3) = 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(sF6,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF6,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 = or(sF4,q),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
or(sF4,q) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = not(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
not(sF11) = sF12,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF13 = or(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f47,plain,
or(sF1,sF3) = sF13,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF14 = not(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
not(sF13) = sF14,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF15 = or(sF12,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f51,plain,
or(sF12,sF14) = sF15,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF16 = not(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f53,plain,
not(sF15) = sF16,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF17 = or(sF10,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f55,plain,
or(sF10,sF16) = sF17,
inference(reorient_equations,[],[f54]) ).
fof(f56,plain,
~ theorem(sF17),
inference(definition_folding,[],[f19,f55,f53,f51,f49,f47,f27,f25,f23,f21,f23,f45,f43,f29,f27,f25,f23,f21,f41,f39,f37,f35,f27,f25,f23,f21,f21,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f57,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f17,f7]) ).
fof(f66,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f85,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f57]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f66]) ).
fof(f90,plain,
! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0)
| ~ theorem(sF5) ),
inference(superposition,[],[f18,f33]) ).
fof(f137,definition,
( spl18_11
<=> theorem(sF5) ),
introduced(definition,[new_symbols(definition,[spl18_11])],[avatar_definition]) ).
fof(f139,plain,
( ~ theorem(sF5)
| spl18_11 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f141,definition,
( spl18_12
<=> ! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_12])],[avatar_definition]) ).
fof(f142,plain,
( ! [X0] :
( ~ theorem(or(sF6,X0))
| theorem(X0) )
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f143,plain,
( ~ spl18_11
| spl18_12 ),
inference(avatar_split_clause,[],[f90,f141,f137]) ).
fof(f168,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f86,f57]) ).
fof(f267,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f291,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f267,f18]) ).
fof(f294,plain,
theorem(or(not(sF2),or(sF1,sF0))),
inference(superposition,[],[f267,f25]) ).
fof(f295,plain,
theorem(or(not(sF13),or(sF3,sF1))),
inference(superposition,[],[f267,f47]) ).
fof(f300,plain,
theorem(or(not(sF15),or(sF14,sF12))),
inference(superposition,[],[f267,f51]) ).
fof(f309,plain,
theorem(or(sF16,or(sF14,sF12))),
inference(forward_demodulation,[],[f300,f53]) ).
fof(f313,plain,
theorem(or(sF14,or(sF3,sF1))),
inference(forward_demodulation,[],[f295,f49]) ).
fof(f314,plain,
theorem(or(sF3,or(sF1,sF0))),
inference(forward_demodulation,[],[f294,f27]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f85,f18]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f327,f267]) ).
fof(f360,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f327,f85]) ).
fof(f363,plain,
! [X0,X1] :
( ~ theorem(or(sF3,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF2)) ),
inference(superposition,[],[f327,f27]) ).
fof(f366,plain,
! [X0,X1] :
( ~ theorem(or(sF8,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF7)) ),
inference(superposition,[],[f327,f37]) ).
fof(f384,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,[],[f360,f66]) ).
fof(f385,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f360,f267]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f384,f18]) ).
fof(f421,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f444,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f421,f327]) ).
fof(f447,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f421,f359]) ).
fof(f461,plain,
theorem(or(not(sF1),sF2)),
inference(superposition,[],[f421,f25]) ).
fof(f463,plain,
theorem(or(not(p),sF5)),
inference(superposition,[],[f421,f31]) ).
fof(f469,plain,
theorem(or(sF0,sF5)),
inference(forward_demodulation,[],[f463,f21]) ).
fof(f487,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f168,f18]) ).
fof(f541,plain,
! [X0,X1] :
( theorem(or(not(or(sF6,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF5)) ),
inference(superposition,[],[f487,f33]) ).
fof(f544,plain,
! [X0,X1] :
( theorem(or(not(or(sF12,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF11)) ),
inference(superposition,[],[f487,f45]) ).
fof(f558,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f444,f359]) ).
fof(f570,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f571,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f570,f327]) ).
fof(f572,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f570,f18]) ).
fof(f583,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f571,f421]) ).
fof(f587,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f385,f18]) ).
fof(f637,plain,
! [X0,X1] :
( ~ theorem(or(not(sF7),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF0,or(X1,sF3))) ),
inference(superposition,[],[f400,f35]) ).
fof(f639,plain,
! [X0,X1] :
( ~ theorem(or(not(sF13),X0))
| theorem(or(X1,X0))
| ~ theorem(or(sF1,or(X1,sF3))) ),
inference(superposition,[],[f400,f47]) ).
fof(f649,plain,
! [X0,X1] :
( ~ theorem(or(sF1,or(X1,sF3)))
| theorem(or(X1,X0))
| ~ theorem(or(sF14,X0)) ),
inference(forward_demodulation,[],[f639,f49]) ).
fof(f651,plain,
! [X0,X1] :
( ~ theorem(or(sF0,or(X1,sF3)))
| theorem(or(X1,X0))
| ~ theorem(or(sF8,X0)) ),
inference(forward_demodulation,[],[f637,f37]) ).
fof(f663,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f583,f291]) ).
fof(f668,plain,
theorem(or(sF6,sF5)),
inference(superposition,[],[f583,f33]) ).
fof(f679,plain,
! [X0] :
( theorem(or(X0,not(sF3)))
| ~ theorem(or(X0,sF2)) ),
inference(resolution,[],[f663,f363]) ).
fof(f690,plain,
! [X0] :
( ~ theorem(or(X0,sF2))
| theorem(or(X0,sF4)) ),
inference(forward_demodulation,[],[f679,f29]) ).
fof(f771,plain,
theorem(or(sF5,sF0)),
inference(resolution,[],[f469,f291]) ).
fof(f820,definition,
( spl18_26
<=> theorem(or(sF10,sF8)) ),
introduced(definition,[new_symbols(definition,[spl18_26])],[avatar_definition]) ).
fof(f821,plain,
( ~ theorem(or(sF10,sF8))
| spl18_26 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f822,plain,
( theorem(or(sF10,sF8))
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f872,plain,
theorem(or(sF1,or(sF3,sF0))),
inference(resolution,[],[f314,f86]) ).
fof(f879,plain,
theorem(or(sF14,or(sF16,sF12))),
inference(resolution,[],[f309,f86]) ).
fof(f906,plain,
theorem(or(sF1,or(sF0,sF3))),
inference(resolution,[],[f872,f359]) ).
fof(f909,plain,
theorem(or(sF1,sF7)),
inference(forward_demodulation,[],[f906,f35]) ).
fof(f911,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f447,f587]) ).
fof(f931,plain,
theorem(or(not(sF0),sF7)),
inference(superposition,[],[f447,f35]) ).
fof(f937,plain,
theorem(or(not(sF10),sF17)),
inference(superposition,[],[f447,f55]) ).
fof(f939,plain,
! [X0] :
( ~ theorem(or(sF10,X0))
| theorem(or(X0,sF17)) ),
inference(resolution,[],[f937,f587]) ).
fof(f1002,plain,
! [X0] :
( ~ theorem(or(X0,sF0))
| theorem(or(X0,sF2)) ),
inference(superposition,[],[f558,f25]) ).
fof(f1005,plain,
! [X0] :
( ~ theorem(or(X0,sF4))
| theorem(or(X0,sF11)) ),
inference(superposition,[],[f558,f43]) ).
fof(f1082,plain,
theorem(or(sF14,or(sF12,sF16))),
inference(resolution,[],[f879,f359]) ).
fof(f1484,plain,
! [X0] :
( ~ theorem(or(sF1,sF7))
| theorem(or(sF0,X0))
| ~ theorem(or(sF14,X0)) ),
inference(superposition,[],[f649,f35]) ).
fof(f1486,plain,
! [X0] :
( ~ theorem(or(sF14,X0))
| theorem(or(sF0,X0)) ),
inference(forward_subsumption_resolution,[],[f1484,f909]) ).
fof(f1489,plain,
theorem(or(sF0,or(sF3,sF1))),
inference(resolution,[],[f1486,f313]) ).
fof(f1490,plain,
theorem(or(sF0,or(sF12,sF16))),
inference(resolution,[],[f1486,f1082]) ).
fof(f1502,plain,
theorem(or(sF0,or(sF1,sF3))),
inference(resolution,[],[f1489,f359]) ).
fof(f1506,plain,
theorem(or(sF0,sF13)),
inference(forward_demodulation,[],[f1502,f47]) ).
fof(f1747,plain,
! [X0] :
( theorem(or(not(sF9),or(X0,sF8)))
| ~ theorem(or(X0,sF5)) ),
inference(superposition,[],[f541,f39]) ).
fof(f1771,definition,
( spl18_104
<=> theorem(or(sF4,sF5)) ),
introduced(definition,[new_symbols(definition,[spl18_104])],[avatar_definition]) ).
fof(f1772,plain,
( theorem(or(sF4,sF5))
| ~ spl18_104 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1773,plain,
( ~ theorem(or(sF4,sF5))
| spl18_104 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1795,plain,
! [X0] :
( theorem(or(sF10,or(X0,sF8)))
| ~ theorem(or(X0,sF5)) ),
inference(forward_demodulation,[],[f1747,f41]) ).
fof(f1800,plain,
! [X0] :
( theorem(or(X0,or(sF10,sF8)))
| ~ theorem(or(X0,sF5)) ),
inference(resolution,[],[f1795,f86]) ).
fof(f1924,plain,
( theorem(or(not(or(sF12,sF16)),sF17))
| ~ theorem(or(sF10,sF11)) ),
inference(superposition,[],[f544,f55]) ).
fof(f1927,definition,
( spl18_120
<=> theorem(or(sF10,sF11)) ),
introduced(definition,[new_symbols(definition,[spl18_120])],[avatar_definition]) ).
fof(f1929,plain,
( ~ theorem(or(sF10,sF11))
| spl18_120 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f1931,definition,
( spl18_121
<=> theorem(or(not(or(sF12,sF16)),sF17)) ),
introduced(definition,[new_symbols(definition,[spl18_121])],[avatar_definition]) ).
fof(f1933,plain,
( theorem(or(not(or(sF12,sF16)),sF17))
| ~ spl18_121 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1934,plain,
( ~ spl18_120
| spl18_121 ),
inference(avatar_split_clause,[],[f1924,f1931,f1927]) ).
fof(f2104,plain,
! [X0] :
( ~ theorem(or(sF0,sF13))
| theorem(or(sF1,X0))
| ~ theorem(or(sF8,X0)) ),
inference(superposition,[],[f651,f47]) ).
fof(f2105,plain,
! [X0] :
( ~ theorem(or(sF8,X0))
| theorem(or(sF1,X0)) ),
inference(forward_subsumption_resolution,[],[f2104,f1506]) ).
fof(f2616,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f911,f572]) ).
fof(f3547,plain,
( ~ theorem(or(sF4,sF5))
| theorem(sF5) ),
inference(superposition,[],[f2616,f31]) ).
fof(f3688,plain,
( theorem(or(sF8,sF17))
| ~ spl18_26 ),
inference(resolution,[],[f822,f939]) ).
fof(f3690,plain,
( theorem(or(sF8,sF10))
| ~ spl18_26 ),
inference(resolution,[],[f822,f291]) ).
fof(f3922,plain,
theorem(or(not(sF1),sF4)),
inference(resolution,[],[f690,f461]) ).
fof(f3939,plain,
! [X0] :
( ~ theorem(or(X0,sF1))
| theorem(or(X0,sF4)) ),
inference(resolution,[],[f3922,f327]) ).
fof(f4551,plain,
theorem(or(sF5,sF2)),
inference(resolution,[],[f771,f1002]) ).
fof(f4554,plain,
theorem(or(sF5,sF4)),
inference(resolution,[],[f4551,f690]) ).
fof(f4558,plain,
theorem(or(sF4,sF5)),
inference(resolution,[],[f4554,f291]) ).
fof(f4559,plain,
( $false
| spl18_104 ),
inference(forward_subsumption_resolution,[],[f4558,f1773]) ).
fof(f4560,plain,
spl18_104,
inference(avatar_contradiction_clause,[],[f4559]) ).
fof(f4562,plain,
( theorem(sF5)
| ~ spl18_104 ),
inference(forward_subsumption_resolution,[],[f3547,f1772]) ).
fof(f4563,plain,
( $false
| spl18_11
| ~ spl18_104 ),
inference(forward_subsumption_resolution,[],[f4562,f139]) ).
fof(f4564,plain,
( spl18_11
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f4563]) ).
fof(f4584,plain,
( theorem(or(sF10,sF8))
| ~ theorem(or(sF6,sF5))
| ~ spl18_12 ),
inference(resolution,[],[f142,f1800]) ).
fof(f4593,plain,
( ~ theorem(or(sF6,sF5))
| ~ spl18_12
| spl18_26 ),
inference(forward_subsumption_resolution,[],[f4584,f821]) ).
fof(f4594,plain,
( $false
| ~ spl18_12
| spl18_26 ),
inference(forward_subsumption_resolution,[],[f4593,f668]) ).
fof(f4595,plain,
( ~ spl18_12
| spl18_26 ),
inference(avatar_contradiction_clause,[],[f4594]) ).
fof(f4602,plain,
( ! [X0] :
( ~ theorem(or(X0,sF7))
| theorem(or(X0,sF17)) )
| ~ spl18_26 ),
inference(resolution,[],[f3688,f366]) ).
fof(f4604,plain,
( theorem(or(not(sF0),sF17))
| ~ spl18_26 ),
inference(resolution,[],[f4602,f931]) ).
fof(f4613,plain,
( ! [X0] :
( ~ theorem(or(sF0,X0))
| theorem(or(X0,sF17)) )
| ~ spl18_26 ),
inference(resolution,[],[f4604,f587]) ).
fof(f4753,plain,
( theorem(or(sF1,sF10))
| ~ spl18_26 ),
inference(resolution,[],[f3690,f2105]) ).
fof(f4759,plain,
( theorem(or(sF10,sF1))
| ~ spl18_26 ),
inference(resolution,[],[f4753,f291]) ).
fof(f4762,plain,
( theorem(or(sF10,sF4))
| ~ spl18_26 ),
inference(resolution,[],[f4759,f3939]) ).
fof(f4777,plain,
( theorem(or(sF10,sF11))
| ~ spl18_26 ),
inference(resolution,[],[f4762,f1005]) ).
fof(f4780,plain,
( $false
| ~ spl18_26
| spl18_120 ),
inference(forward_subsumption_resolution,[],[f4777,f1929]) ).
fof(f4781,plain,
( ~ spl18_26
| spl18_120 ),
inference(avatar_contradiction_clause,[],[f4780]) ).
fof(f4821,plain,
( ! [X0] :
( ~ theorem(or(X0,or(sF12,sF16)))
| theorem(or(X0,sF17)) )
| ~ spl18_121 ),
inference(resolution,[],[f1933,f327]) ).
fof(f4848,plain,
( theorem(or(sF0,sF17))
| ~ spl18_121 ),
inference(resolution,[],[f4821,f1490]) ).
fof(f4861,plain,
( theorem(or(sF17,sF17))
| ~ spl18_26
| ~ spl18_121 ),
inference(resolution,[],[f4848,f4613]) ).
fof(f4865,plain,
( theorem(sF17)
| ~ spl18_26
| ~ spl18_121 ),
inference(resolution,[],[f4861,f572]) ).
fof(f4867,plain,
( $false
| ~ spl18_26
| ~ spl18_121 ),
inference(forward_subsumption_resolution,[],[f4865,f56]) ).
fof(f4868,plain,
( ~ spl18_26
| ~ spl18_121 ),
inference(avatar_contradiction_clause,[],[f4867]) ).
cnf(s6,plain,
( ~ spl18_11
| spl18_12 ),
inference(sat_conversion,[],[f143]) ).
cnf(s67,plain,
( ~ spl18_120
| spl18_121 ),
inference(sat_conversion,[],[f1934]) ).
cnf(s209,plain,
spl18_104,
inference(sat_conversion,[],[f4560]) ).
cnf(s210,plain,
( spl18_11
| ~ spl18_104 ),
inference(sat_conversion,[],[f4564]) ).
cnf(s213,plain,
( ~ spl18_12
| spl18_26 ),
inference(sat_conversion,[],[f4595]) ).
cnf(s218,plain,
( ~ spl18_26
| spl18_120 ),
inference(sat_conversion,[],[f4781]) ).
cnf(s220,plain,
( ~ spl18_26
| ~ spl18_121 ),
inference(sat_conversion,[],[f4868]) ).
cnf(s222,plain,
spl18_11,
inference(rat,[],[s210,s209]) ).
cnf(s230,plain,
spl18_12,
inference(rat,[],[s6,s222]) ).
cnf(s231,plain,
spl18_26,
inference(rat,[],[s213,s230]) ).
cnf(s232,plain,
~ spl18_121,
inference(rat,[],[s220,s231]) ).
cnf(s233,plain,
spl18_120,
inference(rat,[],[s218,s231]) ).
cnf(s238,plain,
$false,
inference(rat,[],[s67,s232,s233]) ).
fof(f4870,plain,
$false,
inference(avatar_sat_refutation,[],[s238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL344-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n001.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 15:41:31 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.42/3.64 % (3729688)Input is clausal, will run a generic CNF schedule.
% 14.42/3.64 % (3729710)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=1452124728:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.42/3.64 % (3729713)lrs+10_1_sil=8000:sp=occurrence:random_seed=2830462917:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.42/3.64 % (3729711)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2771837156:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.42/3.64 % (3729712)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3298798228:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.42/3.64 % (3729715)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2219734487:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.42/3.64 % (3729714)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1399949640:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.42/3.64 % (3729716)dis-21_1_sil=8000:lcm=predicate:random_seed=1239708669: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)
% 14.42/3.64 % (3729713)Instruction limit reached!
% 14.42/3.64 % (3729713)------------------------------
% 14.42/3.64 % (3729713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729713)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729713)Termination reason: Instruction limit
% 14.42/3.64 % (3729713)Termination phase: Saturation
% 14.42/3.64 % (3729713)Time elapsed: 0.107 s
% 14.42/3.64 % (3729713)Peak memory usage: 89 MB
% 14.42/3.64 % (3729713)Instructions burned: 107 (million)
% 14.42/3.64 % (3729716)Instruction limit reached!
% 14.42/3.64 % (3729716)------------------------------
% 14.42/3.64 % (3729716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729716)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729716)Termination reason: Instruction limit
% 14.42/3.64 % (3729716)Termination phase: Saturation
% 14.42/3.64 % (3729716)Time elapsed: 0.093 s
% 14.42/3.64 % (3729716)Peak memory usage: 87 MB
% 14.42/3.64 % (3729716)Instructions burned: 119 (million)
% 14.42/3.64 % (3729714)Instruction limit reached!
% 14.42/3.64 % (3729714)------------------------------
% 14.42/3.64 % (3729714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729714)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729714)Termination reason: Instruction limit
% 14.42/3.64 % (3729714)Termination phase: Saturation
% 14.42/3.64 % (3729714)Time elapsed: 0.115 s
% 14.42/3.64 % (3729714)Peak memory usage: 88 MB
% 14.42/3.64 % (3729714)Instructions burned: 115 (million)
% 14.42/3.64 % (3729715)Instruction limit reached!
% 14.42/3.64 % (3729715)------------------------------
% 14.42/3.64 % (3729715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729715)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729715)Termination reason: Instruction limit
% 14.42/3.64 % (3729715)Termination phase: Saturation
% 14.42/3.64 % (3729715)Time elapsed: 0.176 s
% 14.42/3.64 % (3729715)Peak memory usage: 89 MB
% 14.42/3.64 % (3729715)Instructions burned: 181 (million)
% 14.42/3.64 % (3729724)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=3245347348:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 14.42/3.64 % (3729725)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2924502208:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 14.42/3.64 % (3729724)Refutation not found, incomplete strategy
% 14.42/3.64 % (3729724)------------------------------
% 14.42/3.64 % (3729724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729725)Refutation not found, incomplete strategy
% 14.42/3.64 % (3729725)------------------------------
% 14.42/3.64 % (3729725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729725)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729724)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729724)Termination reason: Refutation not found, incomplete strategy
% 14.42/3.64 % (3729724)Time elapsed: 0.002 s
% 14.42/3.64 % (3729725)Termination reason: Refutation not found, incomplete strategy
% 14.42/3.64 % (3729725)Time elapsed: 0.002 s
% 14.42/3.64 % (3729725)Peak memory usage: 87 MB
% 14.42/3.64 % (3729724)Peak memory usage: 87 MB
% 14.42/3.64 % (3729726)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=133099155:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 14.42/3.64 % (3729726)Refutation not found, incomplete strategy
% 14.42/3.64 % (3729726)------------------------------
% 14.42/3.64 % (3729726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729726)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729726)Termination reason: Refutation not found, incomplete strategy
% 14.42/3.64 % (3729726)Time elapsed: 0.003 s
% 14.42/3.64 % (3729726)Peak memory usage: 88 MB
% 14.42/3.64 % (3729726)Instructions burned: 1 (million)
% 14.42/3.64 % (3729727)lrs+10_64_to=lpo:sil=8000:random_seed=3503463320:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 14.42/3.64 % (3729727)Instruction limit reached!
% 14.42/3.64 % (3729727)------------------------------
% 14.42/3.64 % (3729727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729727)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729727)Termination reason: Instruction limit
% 14.42/3.64 % (3729727)Termination phase: Saturation
% 14.42/3.64 % (3729727)Time elapsed: 0.115 s
% 14.42/3.64 % (3729727)Peak memory usage: 89 MB
% 14.42/3.64 % (3729727)Instructions burned: 127 (million)
% 14.42/3.64 % (3729725)------------------------------
% 14.42/3.64 % (3729725)------------------------------
% 14.42/3.64 % (3729724)------------------------------
% 14.42/3.64 % (3729724)------------------------------
% 14.42/3.64 % (3729726)------------------------------
% 14.42/3.64 % (3729726)------------------------------
% 14.42/3.64 % (3729732)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3330944821:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 14.42/3.64 % (3729732)Instruction limit reached!
% 14.42/3.64 % (3729732)------------------------------
% 14.42/3.64 % (3729732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729732)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729732)Termination reason: Instruction limit
% 14.42/3.64 % (3729732)Termination phase: Saturation
% 14.42/3.64 % (3729732)Time elapsed: 0.189 s
% 14.42/3.64 % (3729732)Peak memory usage: 89 MB
% 14.42/3.64 % (3729732)Instructions burned: 194 (million)
% 14.42/3.64 % (3729733)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4231412835:i=157:gtg=all_2989 on theBenchmark for (2989ds/157Mi)
% 14.42/3.64 % (3729734)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1464394664:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 14.42/3.64 % (3729735)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=2891360105:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 14.42/3.64 % (3729735)Instruction limit reached!
% 14.42/3.64 % (3729735)------------------------------
% 14.42/3.64 % (3729735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729735)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729735)Termination reason: Instruction limit
% 14.42/3.64 % (3729735)Termination phase: Saturation
% 14.42/3.64 % (3729735)Time elapsed: 0.096 s
% 14.42/3.64 % (3729735)Peak memory usage: 89 MB
% 14.42/3.64 % (3729735)Instructions burned: 106 (million)
% 14.42/3.64 % (3729733)Instruction limit reached!
% 14.42/3.64 % (3729733)------------------------------
% 14.42/3.64 % (3729733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729733)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729733)Termination reason: Instruction limit
% 14.42/3.64 % (3729733)Termination phase: Saturation
% 14.42/3.64 % (3729733)Time elapsed: 0.159 s
% 14.42/3.64 % (3729733)Peak memory usage: 91 MB
% 14.42/3.64 % (3729733)Instructions burned: 158 (million)
% 14.42/3.64 % (3729738)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=524420679:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 14.42/3.64 % (3729738)Refutation not found, incomplete strategy
% 14.42/3.64 % (3729738)------------------------------
% 14.42/3.64 % (3729738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729738)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729738)Termination reason: Refutation not found, incomplete strategy
% 14.42/3.64 % (3729738)Time elapsed: 0.002 s
% 14.42/3.64 % (3729738)Peak memory usage: 87 MB
% 14.42/3.64 % (3729741)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1477307037:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2984 on theBenchmark for (2984ds/242Mi)
% 14.42/3.64 % (3729742)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3390433655:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 14.42/3.64 % (3729710)First to succeed.
% 14.42/3.64 % (3729710)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3729688"
% 14.42/3.64 % (3729738)------------------------------
% 14.42/3.64 % (3729738)------------------------------
% 14.42/3.64 % (3729741)Instruction limit reached!
% 14.42/3.64 % (3729741)------------------------------
% 14.42/3.64 % (3729741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/3.64 % (3729741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/3.64 % (3729741)CaDiCaL version: 2.1.3
% 14.42/3.64 % (3729741)Termination reason: Instruction limit
% 14.42/3.64 % (3729741)Termination phase: Saturation
% 14.42/3.64 % (3729741)Time elapsed: 0.280 s
% 14.42/3.64 % (3729741)Peak memory usage: 90 MB
% 14.42/3.64 % (3729741)Instructions burned: 242 (million)
% 14.42/3.64 % (3729710)Refutation found. Thanks to Tanya!
% 14.42/3.64 % SZS status Unsatisfiable for theBenchmark
% 14.42/3.64 % SZS output start Proof for theBenchmark
% See solution above
% 17.66/3.89 % (3729710)------------------------------
% 17.66/3.89 % (3729710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/3.89 % (3729710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/3.89 % (3729710)CaDiCaL version: 2.1.3
% 17.66/3.89 % (3729710)Termination reason: Refutation
% 17.66/3.89 % (3729710)Time elapsed: 1.701 s
% 17.66/3.89 % (3729710)Peak memory usage: 138 MB
% 17.66/3.89 % (3729710)Instructions burned: 1895 (million)
% 17.66/3.89 % (3729710)------------------------------
% 17.66/3.89 % (3729710)------------------------------
% 17.66/3.89 % (3729688)Success in time 2.377 s
% 17.66/3.89 % Vampire exiting
%------------------------------------------------------------------------------