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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL247-3 : 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 11:51:45 AM UTC 2026

% Result   : Unsatisfiable 15.92s 3.03s
% Output   : Refutation 17.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  125 (  83 unt;  15 def)
%            Number of atoms       :  176 (  30 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  109 (  58   ~;  50   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  17 con; 0-2 aty)
%            Number of variables   :  122 (   0 sgn 122   !;   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,negated_conjecture,
    ~ theorem(implies(implies(and(p,q),r),implies(and(p,not(r)),not(q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f11,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f13,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f14,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f15,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(f16,plain,
    ! [X0,X1] :
      ( ~ theorem(or(not(X1),X0))
      | theorem(X0)
      | ~ theorem(X1) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f17,plain,
    ~ theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(not(r))))),not(q)))),
    inference(definition_unfolding,[],[f10,f6,f6,f9,f6,f9]) ).

fof(f18,definition,
    sF0 = not(p),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f19,plain,
    not(p) = sF0,
    inference(reorient_equations,[],[f18]) ).

fof(f20,definition,
    sF1 = not(q),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f21,plain,
    not(q) = sF1,
    inference(reorient_equations,[],[f20]) ).

fof(f22,definition,
    sF2 = or(sF0,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f23,plain,
    or(sF0,sF1) = sF2,
    inference(reorient_equations,[],[f22]) ).

fof(f24,definition,
    sF3 = not(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f25,plain,
    not(sF2) = sF3,
    inference(reorient_equations,[],[f24]) ).

fof(f26,definition,
    sF4 = not(sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f27,plain,
    not(sF3) = sF4,
    inference(reorient_equations,[],[f26]) ).

fof(f28,definition,
    sF5 = or(sF4,r),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f29,plain,
    or(sF4,r) = sF5,
    inference(reorient_equations,[],[f28]) ).

fof(f30,definition,
    sF6 = not(sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f31,plain,
    not(sF5) = sF6,
    inference(reorient_equations,[],[f30]) ).

fof(f32,definition,
    sF7 = not(r),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f33,plain,
    not(r) = sF7,
    inference(reorient_equations,[],[f32]) ).

fof(f34,definition,
    sF8 = not(sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f35,plain,
    not(sF7) = sF8,
    inference(reorient_equations,[],[f34]) ).

fof(f36,definition,
    sF9 = or(sF0,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f37,plain,
    or(sF0,sF8) = sF9,
    inference(reorient_equations,[],[f36]) ).

fof(f38,definition,
    sF10 = not(sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f39,plain,
    not(sF9) = sF10,
    inference(reorient_equations,[],[f38]) ).

fof(f40,definition,
    sF11 = not(sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f41,plain,
    not(sF10) = sF11,
    inference(reorient_equations,[],[f40]) ).

fof(f42,definition,
    sF12 = or(sF11,sF1),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f43,plain,
    or(sF11,sF1) = sF12,
    inference(reorient_equations,[],[f42]) ).

fof(f44,definition,
    sF13 = or(sF6,sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f45,plain,
    or(sF6,sF12) = sF13,
    inference(reorient_equations,[],[f44]) ).

fof(f46,plain,
    ~ theorem(sF13),
    inference(definition_folding,[],[f17,f45,f43,f21,f41,f39,f37,f35,f33,f19,f31,f29,f27,f25,f23,f21,f19]) ).

fof(f47,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[],[f15,f7]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f16,f47]) ).

fof(f134,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f14,f7]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X1,or(X0,X2)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f134,f16]) ).

fof(f142,plain,
    ! [X0] : theorem(or(not(or(sF6,or(X0,sF12))),or(X0,sF13))),
    inference(superposition,[],[f134,f45]) ).

fof(f143,plain,
    ! [X0] : theorem(or(not(or(sF11,or(X0,sF1))),or(X0,sF12))),
    inference(superposition,[],[f134,f43]) ).

fof(f205,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f13,f7]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,X0))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f205,f16]) ).

fof(f221,plain,
    theorem(or(not(sF2),or(sF1,sF0))),
    inference(superposition,[],[f205,f23]) ).

fof(f223,plain,
    theorem(or(not(sF5),or(r,sF4))),
    inference(superposition,[],[f205,f29]) ).

fof(f231,plain,
    theorem(or(sF6,or(r,sF4))),
    inference(forward_demodulation,[],[f223,f31]) ).

fof(f233,plain,
    theorem(or(sF3,or(sF1,sF0))),
    inference(forward_demodulation,[],[f221,f25]) ).

fof(f251,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f12,f7]) ).

fof(f280,plain,
    theorem(or(not(sF8),sF9)),
    inference(superposition,[],[f251,f37]) ).

fof(f285,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(or(X2,X0)) ),
    inference(resolution,[],[f70,f16]) ).

fof(f303,plain,
    ! [X2,X3,X0,X1] :
      ( ~ theorem(or(X0,or(X2,or(X1,X3))))
      | theorem(or(X0,or(X1,or(X2,X3)))) ),
    inference(resolution,[],[f285,f134]) ).

fof(f304,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X2,X1)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f285,f205]) ).

fof(f305,plain,
    ! [X2,X3,X0,X1] :
      ( ~ theorem(or(X0,or(X1,X3)))
      | theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(not(X3),X2)) ),
    inference(resolution,[],[f285,f70]) ).

fof(f306,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X0,X2)) ),
    inference(resolution,[],[f285,f251]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( ~ theorem(or(sF10,X0))
      | theorem(or(X1,X0))
      | ~ theorem(or(X1,sF9)) ),
    inference(superposition,[],[f285,f39]) ).

fof(f320,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
    inference(resolution,[],[f304,f251]) ).

fof(f327,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,[],[f305,f134]) ).

fof(f328,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X1,X2)))
      | ~ theorem(or(not(X0),X2)) ),
    inference(resolution,[],[f305,f205]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X0,X1)) ),
    inference(resolution,[],[f306,f304]) ).

fof(f348,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f11,f7]) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(X1,X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f348,f285]) ).

fof(f358,plain,
    ! [X0] : theorem(or(not(X0),X0)),
    inference(resolution,[],[f349,f251]) ).

fof(f363,plain,
    ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
    inference(resolution,[],[f303,f205]) ).

fof(f374,plain,
    ! [X2,X3,X0,X1] :
      ( ~ theorem(or(not(or(X0,X1)),X2))
      | theorem(or(X3,X2))
      | ~ theorem(or(X0,or(X3,X1))) ),
    inference(resolution,[],[f327,f16]) ).

fof(f392,plain,
    ! [X0] :
      ( ~ theorem(or(sF6,or(X0,sF12)))
      | theorem(or(X0,sF13)) ),
    inference(resolution,[],[f142,f16]) ).

fof(f441,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF11))
      | theorem(or(X0,sF12)) ),
    inference(superposition,[],[f340,f43]) ).

fof(f444,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(or(X0,X2)) ),
    inference(resolution,[],[f328,f16]) ).

fof(f448,plain,
    ! [X0,X1] :
      ( theorem(or(not(or(X0,X1)),X1))
      | ~ theorem(or(not(X0),X1)) ),
    inference(resolution,[],[f328,f349]) ).

fof(f492,plain,
    ! [X0] : theorem(or(X0,not(X0))),
    inference(resolution,[],[f358,f219]) ).

fof(f539,plain,
    ! [X0] :
      ( ~ theorem(or(sF6,X0))
      | theorem(or(X0,sF13)) ),
    inference(resolution,[],[f392,f340]) ).

fof(f565,plain,
    ! [X0,X1] :
      ( theorem(or(X0,not(not(X1))))
      | ~ theorem(or(X1,X0)) ),
    inference(resolution,[],[f444,f492]) ).

fof(f584,plain,
    ! [X0] :
      ( theorem(or(X0,not(sF10)))
      | ~ theorem(or(X0,sF9)) ),
    inference(resolution,[],[f314,f492]) ).

fof(f585,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF9))
      | theorem(or(X0,sF11)) ),
    inference(forward_demodulation,[],[f584,f41]) ).

fof(f609,plain,
    theorem(or(not(sF0),sF9)),
    inference(superposition,[],[f320,f37]) ).

fof(f654,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X2,X1)))
      | theorem(or(X2,X1))
      | ~ theorem(or(not(X0),X1)) ),
    inference(resolution,[],[f448,f374]) ).

fof(f732,plain,
    theorem(or(sF1,or(sF3,sF0))),
    inference(resolution,[],[f233,f139]) ).

fof(f755,definition,
    ( spl14_33
  <=> theorem(or(sF4,sF13)) ),
    introduced(definition,[new_symbols(definition,[spl14_33])],[avatar_definition]) ).

fof(f756,plain,
    ( ~ theorem(or(sF4,sF13))
    | spl14_33 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f774,plain,
    theorem(or(not(or(sF11,or(sF6,sF1))),sF13)),
    inference(superposition,[],[f143,f45]) ).

fof(f776,plain,
    ! [X0] :
      ( ~ theorem(or(X0,or(sF11,or(sF6,sF1))))
      | theorem(or(X0,sF13)) ),
    inference(resolution,[],[f774,f285]) ).

fof(f781,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF11))
      | theorem(or(X0,sF13)) ),
    inference(resolution,[],[f776,f340]) ).

fof(f782,plain,
    ! [X0] :
      ( ~ theorem(or(X0,or(sF6,sF1)))
      | theorem(or(X0,sF13)) ),
    inference(resolution,[],[f776,f306]) ).

fof(f815,plain,
    theorem(or(not(sF1),sF13)),
    inference(resolution,[],[f782,f251]) ).

fof(f828,plain,
    ! [X0] :
      ( ~ theorem(or(sF1,X0))
      | theorem(or(X0,sF13)) ),
    inference(resolution,[],[f815,f444]) ).

fof(f836,plain,
    theorem(or(or(r,sF4),sF13)),
    inference(resolution,[],[f231,f539]) ).

fof(f903,plain,
    theorem(or(or(sF3,sF0),sF13)),
    inference(resolution,[],[f828,f732]) ).

fof(f1057,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(or(X0,X2),X1))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f363,f16]) ).

fof(f1215,plain,
    theorem(or(not(sF8),sF11)),
    inference(resolution,[],[f280,f585]) ).

fof(f1222,plain,
    theorem(or(not(sF8),sF13)),
    inference(resolution,[],[f1215,f781]) ).

fof(f1299,plain,
    theorem(or(not(sF0),sF11)),
    inference(resolution,[],[f609,f585]) ).

fof(f1304,plain,
    theorem(or(not(sF0),sF12)),
    inference(resolution,[],[f1299,f441]) ).

fof(f2592,plain,
    ! [X0,X1] :
      ( theorem(or(not(not(X0)),X1))
      | ~ theorem(or(X0,X1)) ),
    inference(resolution,[],[f565,f219]) ).

fof(f2675,plain,
    ! [X0] :
      ( theorem(or(not(sF7),X0))
      | ~ theorem(or(r,X0)) ),
    inference(superposition,[],[f2592,f33]) ).

fof(f2684,plain,
    ! [X0] :
      ( ~ theorem(or(r,X0))
      | theorem(or(sF8,X0)) ),
    inference(forward_demodulation,[],[f2675,f35]) ).

fof(f2809,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF13))
      | theorem(sF13)
      | ~ theorem(or(not(X0),sF12)) ),
    inference(superposition,[],[f654,f45]) ).

fof(f2812,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),sF12))
      | ~ theorem(or(X0,sF13)) ),
    inference(forward_subsumption_resolution,[],[f2809,f46]) ).

fof(f2832,plain,
    ~ theorem(or(sF0,sF13)),
    inference(resolution,[],[f2812,f1304]) ).

fof(f3004,plain,
    theorem(or(r,or(sF13,sF4))),
    inference(resolution,[],[f1057,f836]) ).

fof(f3005,plain,
    theorem(or(sF3,or(sF13,sF0))),
    inference(resolution,[],[f1057,f903]) ).

fof(f3014,plain,
    theorem(or(r,or(sF4,sF13))),
    inference(resolution,[],[f3004,f304]) ).

fof(f3240,plain,
    theorem(or(sF3,or(sF0,sF13))),
    inference(resolution,[],[f3005,f304]) ).

fof(f3254,plain,
    ( theorem(or(sF0,sF13))
    | ~ theorem(or(not(sF3),sF13)) ),
    inference(resolution,[],[f3240,f654]) ).

fof(f3257,plain,
    ~ theorem(or(not(sF3),sF13)),
    inference(forward_subsumption_resolution,[],[f3254,f2832]) ).

fof(f3258,plain,
    ~ theorem(or(sF4,sF13)),
    inference(forward_demodulation,[],[f3257,f27]) ).

fof(f3259,plain,
    ~ spl14_33,
    inference(avatar_split_clause,[],[f3258,f755]) ).

fof(f4334,plain,
    theorem(or(sF8,or(sF4,sF13))),
    inference(resolution,[],[f2684,f3014]) ).

fof(f4359,plain,
    ( theorem(or(sF4,sF13))
    | ~ theorem(or(not(sF8),sF13)) ),
    inference(resolution,[],[f4334,f654]) ).

fof(f4362,plain,
    ( ~ theorem(or(not(sF8),sF13))
    | spl14_33 ),
    inference(forward_subsumption_resolution,[],[f4359,f756]) ).

fof(f4363,plain,
    ( $false
    | spl14_33 ),
    inference(forward_subsumption_resolution,[],[f4362,f1222]) ).

fof(f4364,plain,
    spl14_33,
    inference(avatar_contradiction_clause,[],[f4363]) ).

cnf(s109,plain,
    ~ spl14_33,
    inference(sat_conversion,[],[f3259]) ).

cnf(s124,plain,
    spl14_33,
    inference(sat_conversion,[],[f4364]) ).

cnf(s126,plain,
    $false,
    inference(rat,[],[s109,s124]) ).

fof(f4365,plain,
    $false,
    inference(avatar_sat_refutation,[],[s126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL247-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n015.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 15:33:24 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  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
% 14.98/2.81  % (1791207)Input is clausal, will run a generic CNF schedule.
% 14.98/2.81  % (1791218)dis-21_1_sil=8000:lcm=predicate:random_seed=2741393331: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)
% 14.98/2.81  % (1791218)Instruction limit reached! 
% 14.98/2.81  % (1791218)------------------------------
% 14.98/2.81  % (1791218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.81  % (1791218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.81  % (1791218)CaDiCaL version: 2.1.3
% 14.98/2.81  % (1791218)Termination reason: Instruction limit
% 14.98/2.81  % (1791218)Termination phase: Saturation
% 14.98/2.81  % (1791218)Time elapsed: 0.031 s
% 14.98/2.81  % (1791218)Peak memory usage: 88 MB
% 14.98/2.81  % (1791218)Instructions burned: 120 (million)
% 14.98/2.81  % (1791216)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3909470753:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.98/2.81  % (1791213)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4016567566:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.98/2.81  % (1791215)lrs+10_1_sil=8000:sp=occurrence:random_seed=2546491050:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.98/2.81  % (1791217)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4089925389:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.98/2.81  % (1791214)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1402751404:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.98/2.81  % (1791212)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=641993021:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.98/2.81  % (1791215)Instruction limit reached! 
% 14.98/2.81  % (1791215)------------------------------
% 14.98/2.81  % (1791215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.81  % (1791215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.81  % (1791215)CaDiCaL version: 2.1.3
% 14.98/2.81  % (1791215)Termination reason: Instruction limit
% 14.98/2.81  % (1791215)Termination phase: Saturation
% 14.98/2.81  % (1791215)Time elapsed: 0.070 s
% 14.98/2.81  % (1791215)Peak memory usage: 89 MB
% 14.98/2.81  % (1791215)Instructions burned: 108 (million)
% 14.98/2.81  % (1791216)Instruction limit reached! 
% 14.98/2.81  % (1791216)------------------------------
% 14.98/2.81  % (1791216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.81  % (1791216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.81  % (1791216)CaDiCaL version: 2.1.3
% 14.98/2.81  % (1791216)Termination reason: Instruction limit
% 14.98/2.81  % (1791216)Termination phase: Saturation
% 14.98/2.81  % (1791216)Time elapsed: 0.073 s
% 14.98/2.81  % (1791216)Peak memory usage: 89 MB
% 14.98/2.81  % (1791216)Instructions burned: 115 (million)
% 14.98/2.81  % (1791220)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=1675380079:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 14.98/2.81  % (1791220)Refutation not found, incomplete strategy
% 14.98/2.81  % (1791220)------------------------------
% 14.98/2.81  % (1791220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.81  % (1791220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.81  % (1791220)CaDiCaL version: 2.1.3
% 14.98/2.81  % (1791220)Termination reason: Refutation not found, incomplete strategy
% 14.98/2.81  % (1791220)Time elapsed: 0.0000 s
% 14.98/2.81  % (1791220)Peak memory usage: 88 MB
% 14.98/2.81  % (1791217)Instruction limit reached! 
% 14.98/2.81  % (1791217)------------------------------
% 14.98/2.81  % (1791217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/2.81  % (1791217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.81  % (1791217)CaDiCaL version: 2.1.3
% 14.98/2.81  % (1791217)Termination reason: Instruction limit
% 14.98/2.81  % (1791217)Termination phase: Saturation
% 14.98/2.81  % (1791217)Time elapsed: 0.110 s
% 14.98/2.81  % (1791217)Peak memory usage: 89 MB
% 14.98/2.81  % (1791217)Instructions burned: 181 (million)
% 14.98/2.81  % (1791227)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1117987550:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 15.92/3.03  % (1791227)Refutation not found, incomplete strategy
% 15.92/3.03  % (1791227)------------------------------
% 15.92/3.03  % (1791227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791227)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791227)Termination reason: Refutation not found, incomplete strategy
% 15.92/3.03  % (1791227)Time elapsed: 0.001 s
% 15.92/3.03  % (1791227)Peak memory usage: 87 MB
% 15.92/3.03  % (1791220)------------------------------
% 15.92/3.03  % (1791220)------------------------------
% 15.92/3.03  % (1791228)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1443355345:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.92/3.03  % (1791228)Refutation not found, incomplete strategy
% 15.92/3.03  % (1791228)------------------------------
% 15.92/3.03  % (1791228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791228)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791228)Termination reason: Refutation not found, incomplete strategy
% 15.92/3.03  % (1791228)Time elapsed: 0.002 s
% 15.92/3.03  % (1791228)Peak memory usage: 88 MB
% 15.92/3.03  % (1791228)Instructions burned: 1 (million)
% 15.92/3.03  % (1791230)lrs+10_64_to=lpo:sil=8000:random_seed=1507208159:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 15.92/3.03  % (1791230)Instruction limit reached! 
% 15.92/3.03  % (1791230)------------------------------
% 15.92/3.03  % (1791230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791230)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791230)Termination reason: Instruction limit
% 15.92/3.03  % (1791230)Termination phase: Saturation
% 15.92/3.03  % (1791230)Time elapsed: 0.110 s
% 15.92/3.03  % (1791230)Peak memory usage: 89 MB
% 15.92/3.03  % (1791230)Instructions burned: 126 (million)
% 15.92/3.03  % (1791243)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2644069481:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 15.92/3.03  % (1791227)------------------------------
% 15.92/3.03  % (1791227)------------------------------
% 15.92/3.03  % (1791243)Instruction limit reached! 
% 15.92/3.03  % (1791243)------------------------------
% 15.92/3.03  % (1791243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791243)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791243)Termination reason: Instruction limit
% 15.92/3.03  % (1791243)Termination phase: Saturation
% 15.92/3.03  % (1791243)Time elapsed: 0.121 s
% 15.92/3.03  % (1791243)Peak memory usage: 90 MB
% 15.92/3.03  % (1791243)Instructions burned: 201 (million)
% 15.92/3.03  % (1791251)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4268671247:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 15.92/3.03  % (1791228)------------------------------
% 15.92/3.03  % (1791228)------------------------------
% 15.92/3.03  % (1791255)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3437523710:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 15.92/3.03  % (1791256)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=3969048025:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 15.92/3.03  % (1791251)Instruction limit reached! 
% 15.92/3.03  % (1791251)------------------------------
% 15.92/3.03  % (1791251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791251)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791251)Termination reason: Instruction limit
% 15.92/3.03  % (1791251)Termination phase: Saturation
% 15.92/3.03  % (1791251)Time elapsed: 0.154 s
% 15.92/3.03  % (1791251)Peak memory usage: 91 MB
% 15.92/3.03  % (1791251)Instructions burned: 157 (million)
% 15.92/3.03  % (1791256)Instruction limit reached! 
% 15.92/3.03  % (1791256)------------------------------
% 15.92/3.03  % (1791256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791256)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791256)Termination reason: Instruction limit
% 15.92/3.03  % (1791256)Termination phase: Saturation
% 15.92/3.03  % (1791256)Time elapsed: 0.052 s
% 15.92/3.03  % (1791256)Peak memory usage: 89 MB
% 15.92/3.03  % (1791256)Instructions burned: 106 (million)
% 15.92/3.03  % (1791259)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2542511820:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 15.92/3.03  % (1791259)Refutation not found, incomplete strategy
% 15.92/3.03  % (1791259)------------------------------
% 15.92/3.03  % (1791259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791259)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791259)Termination reason: Refutation not found, incomplete strategy
% 15.92/3.03  % (1791259)Time elapsed: 0.002 s
% 15.92/3.03  % (1791259)Peak memory usage: 87 MB
% 15.92/3.03  % (1791264)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2572043667:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 15.92/3.03  % (1791263)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2027145050:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 15.92/3.03  % (1791259)------------------------------
% 15.92/3.03  % (1791259)------------------------------
% 15.92/3.03  % (1791263)Instruction limit reached! 
% 15.92/3.03  % (1791263)------------------------------
% 15.92/3.03  % (1791263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791263)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791263)Termination reason: Instruction limit
% 15.92/3.03  % (1791263)Termination phase: Saturation
% 15.92/3.03  % (1791263)Time elapsed: 0.230 s
% 15.92/3.03  % (1791263)Peak memory usage: 91 MB
% 15.92/3.03  % (1791263)Instructions burned: 243 (million)
% 15.92/3.03  % (1791275)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2272943456:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 15.92/3.03  % (1791274)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=526766784:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 15.92/3.03  % (1791274)Instruction limit reached! 
% 15.92/3.03  % (1791274)------------------------------
% 15.92/3.03  % (1791274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791274)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791274)Termination reason: Instruction limit
% 15.92/3.03  % (1791274)Termination phase: Saturation
% 15.92/3.03  % (1791274)Time elapsed: 0.152 s
% 15.92/3.03  % (1791274)Peak memory usage: 90 MB
% 15.92/3.03  % (1791274)Instructions burned: 134 (million)
% 15.92/3.03  % (1791286)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2252098224:i=191:fgj=on:bd=all_2982 on theBenchmark for (2982ds/191Mi)
% 15.92/3.03  % (1791212)First to succeed.
% 15.92/3.03  % (1791212)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1791207"
% 15.92/3.03  % (1791275)Instruction limit reached! 
% 15.92/3.03  % (1791275)------------------------------
% 15.92/3.03  % (1791275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791275)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791275)Termination reason: Instruction limit
% 15.92/3.03  % (1791275)Termination phase: Saturation
% 15.92/3.03  % (1791275)Time elapsed: 0.494 s
% 15.92/3.03  % (1791275)Peak memory usage: 94 MB
% 15.92/3.03  % (1791275)Instructions burned: 499 (million)
% 15.92/3.03  % (1791255)Also succeeded, but the first one will report.
% 15.92/3.03  % (1791286)Instruction limit reached! 
% 15.92/3.03  % (1791286)------------------------------
% 15.92/3.03  % (1791286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.03  % (1791286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.03  % (1791286)CaDiCaL version: 2.1.3
% 15.92/3.03  % (1791286)Termination reason: Instruction limit
% 15.92/3.03  % (1791286)Termination phase: Saturation
% 15.92/3.03  % (1791286)Time elapsed: 0.214 s
% 15.92/3.03  % (1791286)Peak memory usage: 93 MB
% 15.92/3.03  % (1791286)Instructions burned: 192 (million)
% 15.92/3.03  % (1791291)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=7986028:i=264:kws=precedence:fsr=off_2979 on theBenchmark for (2979ds/264Mi)
% 15.92/3.03  % (1791264)Also succeeded, but the first one will report.
% 15.92/3.03  % (1791212)Refutation found. Thanks to Tanya!
% 15.92/3.03  % SZS status Unsatisfiable for theBenchmark
% 15.92/3.03  % SZS output start Proof for theBenchmark
% See solution above
% 17.30/3.32  % (1791212)------------------------------
% 17.30/3.32  % (1791212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.30/3.32  % (1791212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.30/3.32  % (1791212)CaDiCaL version: 2.1.3
% 17.30/3.32  % (1791212)Termination reason: Refutation
% 17.30/3.32  % (1791212)Time elapsed: 1.857 s
% 17.30/3.32  % (1791212)Peak memory usage: 138 MB
% 17.30/3.32  % (1791212)Instructions burned: 1922 (million)
% 17.30/3.32  % (1791212)------------------------------
% 17.30/3.32  % (1791212)------------------------------
% 17.30/3.32  % (1791207)Success in time 2.393 s
% 17.30/3.32  % Vampire exiting
%------------------------------------------------------------------------------