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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LAT022-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 11:47:41 AM UTC 2026

% Result   : Unsatisfiable 28.82s 8.44s
% Output   : Refutation 28.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  175 ( 175 unt;   5 def)
%            Number of atoms       :  175 ( 174 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  244 ( 244   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : meet(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_meet) ).

fof(f2,axiom,
    ! [X0] : join(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_join) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',commutativity_of_meet) ).

fof(f4,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',commutativity_of_join) ).

fof(f5,axiom,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',associativity_of_meet) ).

fof(f6,axiom,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',associativity_of_join) ).

fof(f7,axiom,
    ! [X2,X0,X1] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice1) ).

fof(f8,plain,
    ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
    inference(reorient_equations,[],[f7]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice2) ).

fof(f10,plain,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,meet(X1,X2)),join(X0,X1)),
    inference(reorient_equations,[],[f9]) ).

fof(f11,axiom,
    ! [X2,X0,X1] : join(meet(X0,X1),meet(X2,join(X0,X1))) = meet(join(X0,X1),join(X2,meet(X0,X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_dual_modularity) ).

fof(f12,negated_conjecture,
    meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_modularity) ).

fof(f13,definition,
    sF0 = meet(a,c),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f14,plain,
    meet(a,c) = sF0,
    inference(reorient_equations,[],[f13]) ).

fof(f15,definition,
    sF1 = join(b,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f16,plain,
    join(b,sF0) = sF1,
    inference(reorient_equations,[],[f15]) ).

fof(f17,definition,
    sF2 = meet(a,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f18,plain,
    meet(a,sF1) = sF2,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF3 = meet(a,b),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f20,plain,
    meet(a,b) = sF3,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF4 = join(sF3,sF0),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f22,plain,
    join(sF3,sF0) = sF4,
    inference(reorient_equations,[],[f21]) ).

fof(f23,plain,
    sF2 != sF4,
    inference(definition_folding,[],[f12,f22,f14,f20,f18,f16,f14]) ).

fof(f24,plain,
    sF1 = join(sF0,b),
    inference(forward_demodulation,[],[f16,f4]) ).

fof(f25,plain,
    sF4 = join(sF0,sF3),
    inference(forward_demodulation,[],[f22,f4]) ).

fof(f26,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
    inference(superposition,[],[f5,f1]) ).

fof(f28,plain,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
    inference(superposition,[],[f5,f3]) ).

fof(f29,plain,
    ! [X0] : meet(a,meet(c,X0)) = meet(sF0,X0),
    inference(superposition,[],[f5,f14]) ).

fof(f30,plain,
    ! [X0] : meet(a,meet(sF1,X0)) = meet(sF2,X0),
    inference(superposition,[],[f5,f18]) ).

fof(f31,plain,
    ! [X0] : meet(a,meet(b,X0)) = meet(sF3,X0),
    inference(superposition,[],[f5,f20]) ).

fof(f36,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,meet(X0,X1))),
    inference(superposition,[],[f1,f5]) ).

fof(f38,plain,
    ! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
    inference(superposition,[],[f3,f5]) ).

fof(f41,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
    inference(superposition,[],[f6,f2]) ).

fof(f43,plain,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
    inference(superposition,[],[f6,f4]) ).

fof(f52,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(superposition,[],[f4,f6]) ).

fof(f57,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
    inference(superposition,[],[f26,f3]) ).

fof(f59,plain,
    sF0 = meet(a,sF0),
    inference(superposition,[],[f26,f14]) ).

fof(f75,plain,
    ! [X0] : meet(X0,sF1) = join(meet(X0,sF1),meet(X0,sF0)),
    inference(superposition,[],[f8,f24]) ).

fof(f77,plain,
    ! [X0,X1] : join(X0,X1) = join(join(X0,X1),meet(join(X0,X1),X0)),
    inference(superposition,[],[f8,f1]) ).

fof(f81,plain,
    ! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X0,join(X0,X1)),X0),
    inference(superposition,[],[f8,f1]) ).

fof(f93,plain,
    ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,join(X1,X2))),
    inference(superposition,[],[f4,f8]) ).

fof(f102,plain,
    ! [X0,X1] : meet(X0,join(X0,X1)) = join(X0,meet(X0,join(X0,X1))),
    inference(forward_demodulation,[],[f81,f4]) ).

fof(f106,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X0))),
    inference(forward_demodulation,[],[f77,f6]) ).

fof(f108,plain,
    ! [X0] : meet(X0,sF1) = join(meet(X0,sF0),meet(X0,sF1)),
    inference(forward_demodulation,[],[f75,f4]) ).

fof(f114,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X0,join(X0,X1)))),
    inference(forward_demodulation,[],[f106,f3]) ).

fof(f117,plain,
    ! [X0] : meet(sF0,X0) = meet(a,meet(sF0,X0)),
    inference(superposition,[],[f5,f59]) ).

fof(f121,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,X1)) = meet(join(X2,meet(X0,X1)),join(X2,X1)),
    inference(superposition,[],[f10,f3]) ).

fof(f129,plain,
    ! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(meet(X0,X1),X0)),
    inference(superposition,[],[f10,f2]) ).

fof(f136,plain,
    ! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X1,meet(X0,X2)),join(X0,X1)),
    inference(superposition,[],[f10,f4]) ).

fof(f139,plain,
    ! [X0] : join(sF0,meet(b,X0)) = meet(join(sF0,meet(b,X0)),sF1),
    inference(superposition,[],[f10,f24]) ).

fof(f140,plain,
    ! [X0] : join(sF0,meet(sF3,X0)) = meet(join(sF0,meet(sF3,X0)),sF4),
    inference(superposition,[],[f10,f25]) ).

fof(f148,plain,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,meet(X1,X2))),
    inference(superposition,[],[f3,f10]) ).

fof(f152,plain,
    ! [X0] : join(sF0,meet(sF3,X0)) = meet(sF4,join(sF0,meet(sF3,X0))),
    inference(forward_demodulation,[],[f140,f3]) ).

fof(f153,plain,
    ! [X0] : join(sF0,meet(b,X0)) = meet(sF1,join(sF0,meet(b,X0))),
    inference(forward_demodulation,[],[f139,f3]) ).

fof(f156,plain,
    ! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X0,X1),join(X1,meet(X0,X2))),
    inference(forward_demodulation,[],[f136,f3]) ).

fof(f163,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X0))),
    inference(forward_demodulation,[],[f129,f5]) ).

fof(f169,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,X1)) = meet(join(X2,X1),join(X2,meet(X0,X1))),
    inference(forward_demodulation,[],[f121,f3]) ).

fof(f177,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X0,meet(X0,X1)))),
    inference(forward_demodulation,[],[f163,f4]) ).

fof(f197,plain,
    ! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = meet(X0,join(X1,meet(X0,X0))),
    inference(superposition,[],[f11,f2]) ).

fof(f202,plain,
    ! [X2,X3,X0,X1] : join(meet(join(X0,X1),X2),meet(X3,join(X0,join(X1,X2)))) = meet(join(X0,join(X1,X2)),join(X3,meet(join(X0,X1),X2))),
    inference(superposition,[],[f11,f6]) ).

fof(f205,plain,
    ! [X0,X1] : meet(join(X0,X1),join(join(X0,X1),meet(X0,X1))) = join(meet(X0,X1),join(X0,X1)),
    inference(superposition,[],[f11,f1]) ).

fof(f218,plain,
    ! [X0,X1] : meet(join(X0,X1),join(join(X0,X1),meet(X0,X1))) = join(X1,join(meet(X0,X1),X0)),
    inference(forward_demodulation,[],[f205,f52]) ).

fof(f221,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X1,X0)),
    inference(forward_demodulation,[],[f197,f1]) ).

fof(f226,plain,
    ! [X0,X1] : meet(join(X0,X1),join(join(X0,X1),meet(X0,X1))) = join(X1,join(X0,meet(X0,X1))),
    inference(forward_demodulation,[],[f218,f4]) ).

fof(f231,plain,
    ! [X0,X1] : join(X1,join(X0,meet(X0,X1))) = meet(join(X0,X1),join(X0,join(X1,meet(X0,X1)))),
    inference(forward_demodulation,[],[f226,f6]) ).

fof(f235,plain,
    ! [X0,X1] : join(X1,join(X0,meet(X0,X1))) = meet(join(X0,X1),join(X0,meet(X1,join(X0,X1)))),
    inference(forward_demodulation,[],[f231,f221]) ).

fof(f236,plain,
    ! [X0,X1] : join(X1,join(X0,meet(X0,X1))) = join(X0,meet(X1,join(X0,X1))),
    inference(forward_demodulation,[],[f235,f148]) ).

fof(f246,plain,
    ! [X0] : meet(sF0,X0) = meet(a,meet(X0,c)),
    inference(superposition,[],[f29,f3]) ).

fof(f265,plain,
    meet(a,sF1) = meet(sF2,sF1),
    inference(superposition,[],[f30,f1]) ).

fof(f267,plain,
    ! [X0] : meet(sF2,X0) = meet(a,meet(X0,sF1)),
    inference(superposition,[],[f30,f3]) ).

fof(f278,plain,
    meet(a,sF1) = meet(sF1,sF2),
    inference(forward_demodulation,[],[f265,f3]) ).

fof(f281,plain,
    sF2 = meet(sF1,sF2),
    inference(forward_demodulation,[],[f278,f18]) ).

fof(f291,plain,
    meet(a,b) = meet(sF3,b),
    inference(superposition,[],[f31,f1]) ).

fof(f304,plain,
    meet(a,b) = meet(b,sF3),
    inference(forward_demodulation,[],[f291,f3]) ).

fof(f307,plain,
    sF3 = meet(b,sF3),
    inference(forward_demodulation,[],[f304,f20]) ).

fof(f319,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
    inference(superposition,[],[f41,f4]) ).

fof(f330,plain,
    ! [X2,X0,X1] : join(meet(X0,join(X0,X1)),meet(X2,join(X0,X1))) = meet(join(X0,X1),join(X2,meet(X0,join(X0,X1)))),
    inference(superposition,[],[f11,f41]) ).

fof(f398,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = meet(X0,join(X1,X0)),
    inference(superposition,[],[f221,f3]) ).

fof(f489,plain,
    ! [X2,X3,X0,X1] : join(X3,meet(X0,meet(X1,X2))) = meet(join(X3,meet(X0,meet(X1,X2))),join(X3,meet(X1,X0))),
    inference(superposition,[],[f10,f28]) ).

fof(f493,plain,
    ! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X0,meet(X1,meet(meet(X1,X0),X2))),
    inference(superposition,[],[f26,f28]) ).

fof(f497,plain,
    ! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X0,meet(X1,meet(X1,meet(X0,X2)))),
    inference(forward_demodulation,[],[f493,f5]) ).

fof(f499,plain,
    ! [X2,X3,X0,X1] : join(X3,meet(X0,meet(X1,X2))) = meet(join(X3,meet(X1,X0)),join(X3,meet(X0,meet(X1,X2)))),
    inference(forward_demodulation,[],[f489,f3]) ).

fof(f521,plain,
    ! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X0,meet(X1,meet(X0,X2))),
    inference(forward_demodulation,[],[f497,f26]) ).

fof(f599,plain,
    ! [X0,X1] : meet(meet(X1,meet(X0,X1)),join(X0,meet(X1,meet(X0,X1)))) = join(meet(X1,meet(X0,X1)),meet(X0,X1)),
    inference(superposition,[],[f221,f36]) ).

fof(f616,plain,
    ! [X0,X1] : meet(meet(X1,meet(X0,X1)),join(X0,meet(X1,meet(X0,X1)))) = join(meet(X0,X1),meet(X1,meet(X0,X1))),
    inference(forward_demodulation,[],[f599,f4]) ).

fof(f659,plain,
    ! [X0,X1] : meet(meet(X1,meet(X0,X1)),join(X0,meet(X1,meet(X0,X1)))) = meet(meet(X0,X1),join(X1,meet(X0,X1))),
    inference(forward_demodulation,[],[f616,f221]) ).

fof(f684,plain,
    ! [X0,X1] : meet(meet(X1,meet(X0,X1)),join(X0,meet(X1,meet(X0,X1)))) = meet(X0,meet(X1,join(X1,meet(X0,X1)))),
    inference(forward_demodulation,[],[f659,f5]) ).

fof(f697,plain,
    ! [X0,X1] : meet(meet(X1,meet(X0,X1)),join(X0,meet(X1,meet(X0,X1)))) = meet(X0,meet(X1,meet(X1,join(X0,X1)))),
    inference(forward_demodulation,[],[f684,f221]) ).

fof(f703,plain,
    ! [X0,X1] : meet(meet(X1,meet(X0,X1)),join(X0,meet(X1,meet(X0,X1)))) = meet(X0,meet(X1,join(X0,X1))),
    inference(forward_demodulation,[],[f697,f26]) ).

fof(f704,plain,
    ! [X0,X1] : meet(X0,meet(X1,join(X0,X1))) = meet(X1,meet(meet(X0,X1),join(X0,meet(X1,meet(X0,X1))))),
    inference(forward_demodulation,[],[f703,f5]) ).

fof(f705,plain,
    ! [X0,X1] : meet(X0,meet(X1,join(X0,X1))) = meet(X1,meet(X0,meet(X1,join(X0,meet(X1,meet(X0,X1)))))),
    inference(forward_demodulation,[],[f704,f5]) ).

fof(f706,plain,
    ! [X0,X1] : meet(X0,meet(X1,join(X0,X1))) = meet(X0,meet(X1,join(X0,meet(X1,meet(X0,X1))))),
    inference(forward_demodulation,[],[f705,f521]) ).

fof(f707,plain,
    ! [X0,X1] : meet(X0,meet(X1,join(X0,meet(X0,X1)))) = meet(X0,meet(X1,join(X0,X1))),
    inference(forward_demodulation,[],[f706,f57]) ).

fof(f708,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X0,X1))),
    inference(forward_demodulation,[],[f707,f177]) ).

fof(f821,plain,
    ! [X0,X1] : meet(sF0,meet(X1,X0)) = meet(a,meet(X0,meet(c,X1))),
    inference(superposition,[],[f29,f38]) ).

fof(f1491,plain,
    meet(a,sF1) = join(sF0,meet(a,sF1)),
    inference(superposition,[],[f108,f59]) ).

fof(f1498,plain,
    ! [X0] : meet(X0,sF1) = meet(meet(X0,sF1),join(meet(X0,sF0),X0)),
    inference(superposition,[],[f10,f108]) ).

fof(f1514,plain,
    ! [X0] : meet(X0,sF1) = meet(X0,meet(sF1,join(meet(X0,sF0),X0))),
    inference(forward_demodulation,[],[f1498,f5]) ).

fof(f1519,plain,
    sF2 = join(sF0,sF2),
    inference(forward_demodulation,[],[f1491,f18]) ).

fof(f1525,plain,
    ! [X0] : meet(X0,sF1) = meet(X0,meet(sF1,join(X0,meet(X0,sF0)))),
    inference(forward_demodulation,[],[f1514,f4]) ).

fof(f1533,plain,
    ! [X0] : meet(X0,sF1) = meet(X0,meet(sF1,meet(X0,join(sF0,X0)))),
    inference(forward_demodulation,[],[f1525,f398]) ).

fof(f1537,plain,
    ! [X0] : meet(X0,sF1) = meet(sF1,meet(X0,join(sF0,X0))),
    inference(forward_demodulation,[],[f1533,f521]) ).

fof(f1966,plain,
    ! [X2,X0,X1] : join(meet(X0,join(X0,X1)),X2) = join(meet(X0,join(X0,X1)),join(X0,X2)),
    inference(superposition,[],[f43,f102]) ).

fof(f1984,plain,
    ! [X2,X0,X1] : join(meet(X0,join(X0,X1)),X2) = join(X0,join(X2,meet(X0,join(X0,X1)))),
    inference(forward_demodulation,[],[f1966,f52]) ).

fof(f2215,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(join(X1,meet(X0,join(X0,X1))),meet(X0,join(X0,X1)))),
    inference(superposition,[],[f114,f114]) ).

fof(f2307,plain,
    ! [X0,X1] : join(X0,X1) = join(meet(X0,join(X0,X1)),join(X1,meet(X0,join(X0,X1)))),
    inference(forward_demodulation,[],[f2215,f1984]) ).

fof(f2346,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1)))),
    inference(forward_demodulation,[],[f2307,f52]) ).

fof(f2379,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,meet(join(X0,X1),join(X0,meet(X0,join(X0,X1))))),
    inference(forward_demodulation,[],[f2346,f330]) ).

fof(f2397,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,meet(join(X0,X1),meet(X0,join(X0,X1)))),
    inference(forward_demodulation,[],[f2379,f102]) ).

fof(f2407,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,meet(X0,meet(join(X0,X1),join(X0,X1)))),
    inference(forward_demodulation,[],[f2397,f38]) ).

fof(f2409,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,meet(X0,join(X0,X1))),
    inference(forward_demodulation,[],[f2407,f1]) ).

fof(f2426,plain,
    meet(sF0,sF1) = meet(sF2,c),
    inference(superposition,[],[f30,f246]) ).

fof(f2427,plain,
    meet(sF0,b) = meet(sF3,c),
    inference(superposition,[],[f31,f246]) ).

fof(f2430,plain,
    ! [X0,X1] : meet(meet(sF0,X0),X1) = meet(a,meet(meet(X0,c),X1)),
    inference(superposition,[],[f5,f246]) ).

fof(f2449,plain,
    ! [X0,X1] : meet(meet(sF0,X0),X1) = meet(a,meet(X0,meet(c,X1))),
    inference(forward_demodulation,[],[f2430,f5]) ).

fof(f2460,plain,
    ! [X0,X1] : meet(meet(sF0,X0),X1) = meet(sF0,meet(X1,X0)),
    inference(forward_demodulation,[],[f2449,f821]) ).

fof(f2469,plain,
    ! [X0,X1] : meet(sF0,meet(X0,X1)) = meet(sF0,meet(X1,X0)),
    inference(forward_demodulation,[],[f2460,f5]) ).

fof(f2523,plain,
    meet(sF0,sF2) = meet(a,meet(sF0,sF1)),
    inference(superposition,[],[f246,f2426]) ).

fof(f2543,plain,
    meet(sF0,sF1) = meet(sF0,sF2),
    inference(forward_demodulation,[],[f2523,f117]) ).

fof(f2549,plain,
    join(sF0,sF3) = meet(sF1,join(sF0,sF3)),
    inference(superposition,[],[f153,f307]) ).

fof(f2586,plain,
    sF4 = meet(sF1,sF4),
    inference(forward_demodulation,[],[f2549,f25]) ).

fof(f2609,plain,
    ! [X0] : meet(sF4,X0) = meet(sF4,meet(sF1,X0)),
    inference(superposition,[],[f28,f2586]) ).

fof(f2618,plain,
    ! [X0] : meet(sF4,X0) = meet(sF1,meet(X0,sF4)),
    inference(forward_demodulation,[],[f2609,f38]) ).

fof(f2799,plain,
    join(sF0,meet(sF0,b)) = meet(sF4,join(sF0,meet(sF0,b))),
    inference(superposition,[],[f152,f2427]) ).

fof(f2822,plain,
    meet(sF0,join(b,sF0)) = meet(sF4,meet(sF0,join(b,sF0))),
    inference(forward_demodulation,[],[f2799,f398]) ).

fof(f2827,plain,
    meet(sF0,join(b,sF0)) = meet(sF0,meet(join(b,sF0),sF4)),
    inference(forward_demodulation,[],[f2822,f38]) ).

fof(f2829,plain,
    meet(sF0,join(b,sF0)) = meet(sF0,meet(sF4,join(b,sF0))),
    inference(forward_demodulation,[],[f2827,f2469]) ).

fof(f2830,plain,
    meet(sF0,join(sF0,b)) = meet(sF0,meet(sF4,join(sF0,b))),
    inference(forward_demodulation,[],[f2829,f4]) ).

fof(f2831,plain,
    meet(sF0,sF1) = meet(sF0,meet(sF4,sF1)),
    inference(forward_demodulation,[],[f2830,f24]) ).

fof(f2832,plain,
    meet(sF0,sF1) = meet(sF0,meet(sF1,sF4)),
    inference(forward_demodulation,[],[f2831,f2469]) ).

fof(f2833,plain,
    meet(sF0,sF1) = meet(sF0,sF4),
    inference(forward_demodulation,[],[f2832,f2586]) ).

fof(f3666,plain,
    ! [X0] : join(meet(sF0,sF1),meet(X0,join(sF0,sF2))) = meet(join(sF0,sF2),join(X0,meet(sF0,sF1))),
    inference(superposition,[],[f11,f2543]) ).

fof(f3682,plain,
    ! [X0] : join(meet(sF0,sF1),meet(X0,sF2)) = meet(sF2,join(X0,meet(sF0,sF1))),
    inference(forward_demodulation,[],[f3666,f1519]) ).

fof(f3758,plain,
    ! [X0,X1] : join(X1,meet(X0,join(X0,X1))) = join(X0,join(X1,meet(X1,X0))),
    inference(superposition,[],[f236,f4]) ).

fof(f3852,plain,
    ! [X0,X1] : join(X1,meet(X0,join(X0,X1))) = join(X0,meet(X1,join(X0,X1))),
    inference(forward_demodulation,[],[f3758,f398]) ).

fof(f3947,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,meet(X1,join(X0,X1))),
    inference(forward_demodulation,[],[f3852,f2409]) ).

fof(f6125,plain,
    ! [X0,X1] : join(X1,X0) = meet(join(X0,X1),join(X1,X0)),
    inference(superposition,[],[f156,f1]) ).

fof(f6852,plain,
    meet(sF3,sF1) = meet(sF2,b),
    inference(superposition,[],[f31,f267]) ).

fof(f6891,plain,
    meet(sF3,sF1) = meet(b,sF2),
    inference(forward_demodulation,[],[f6852,f3]) ).

fof(f6905,plain,
    meet(b,sF2) = meet(sF1,sF3),
    inference(forward_demodulation,[],[f6891,f3]) ).

fof(f6965,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,X1)) = meet(join(X2,meet(X1,join(X0,meet(X0,X1)))),join(X2,meet(X0,X1))),
    inference(superposition,[],[f169,f177]) ).

fof(f7063,plain,
    ! [X2,X3,X0,X1] : join(X3,join(X0,meet(X1,X2))) = meet(join(X3,join(X0,X2)),join(X3,join(X0,meet(X1,X2)))),
    inference(superposition,[],[f148,f169]) ).

fof(f7133,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,X1)) = meet(join(X2,meet(X0,X1)),join(X2,meet(X1,join(X0,meet(X0,X1))))),
    inference(forward_demodulation,[],[f6965,f3]) ).

fof(f7195,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,X1)) = meet(join(X2,meet(X0,X1)),join(X2,meet(X1,meet(X0,join(X1,X0))))),
    inference(forward_demodulation,[],[f7133,f398]) ).

fof(f7231,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X1,meet(X0,join(X1,X0)))),
    inference(forward_demodulation,[],[f7195,f499]) ).

fof(f7250,plain,
    ! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X1,X0)),
    inference(forward_demodulation,[],[f7231,f708]) ).

fof(f17071,plain,
    ! [X0,X1] : meet(join(X0,X1),join(X0,join(X1,X0))) = meet(join(X0,join(X1,X0)),join(join(X0,X1),meet(join(X0,X1),X0))),
    inference(superposition,[],[f93,f202]) ).

fof(f17165,plain,
    ! [X0,X1] : meet(join(X0,X1),join(X0,join(X1,X0))) = meet(join(X0,join(X1,X0)),join(X0,join(X1,meet(join(X0,X1),X0)))),
    inference(forward_demodulation,[],[f17071,f6]) ).

fof(f17336,plain,
    ! [X0,X1] : join(X0,join(X1,meet(join(X0,X1),X0))) = meet(join(X0,X1),join(X0,join(X1,X0))),
    inference(forward_demodulation,[],[f17165,f7063]) ).

fof(f17434,plain,
    ! [X0,X1] : join(X0,join(X1,meet(join(X0,X1),X0))) = meet(join(X0,X1),join(X1,X0)),
    inference(forward_demodulation,[],[f17336,f319]) ).

fof(f17479,plain,
    ! [X0,X1] : join(X1,X0) = join(X0,join(X1,meet(join(X0,X1),X0))),
    inference(forward_demodulation,[],[f17434,f6125]) ).

fof(f17508,plain,
    ! [X0,X1] : join(X1,X0) = join(X0,join(X1,meet(X0,join(X0,X1)))),
    inference(forward_demodulation,[],[f17479,f7250]) ).

fof(f17524,plain,
    ! [X0,X1] : join(X1,X0) = join(meet(X0,join(X0,X1)),X1),
    inference(forward_demodulation,[],[f17508,f1984]) ).

fof(f17534,plain,
    ! [X0,X1] : join(X1,X0) = join(X1,meet(X0,join(X0,X1))),
    inference(forward_demodulation,[],[f17524,f4]) ).

fof(f31428,plain,
    meet(sF3,sF1) = meet(sF1,meet(sF3,sF4)),
    inference(superposition,[],[f1537,f25]) ).

fof(f31580,plain,
    meet(sF4,sF3) = meet(sF3,sF1),
    inference(forward_demodulation,[],[f31428,f2618]) ).

fof(f31627,plain,
    meet(sF4,sF3) = meet(sF1,sF3),
    inference(forward_demodulation,[],[f31580,f3]) ).

fof(f31654,plain,
    meet(sF4,sF3) = meet(b,sF2),
    inference(forward_demodulation,[],[f31627,f6905]) ).

fof(f31672,plain,
    meet(sF3,sF4) = meet(b,sF2),
    inference(forward_demodulation,[],[f31654,f3]) ).

fof(f31876,plain,
    sF1 = join(b,meet(sF0,sF1)),
    inference(superposition,[],[f2409,f24]) ).

fof(f34671,plain,
    sF4 = join(sF0,meet(sF3,sF4)),
    inference(superposition,[],[f3947,f25]) ).

fof(f34879,plain,
    sF4 = join(sF0,meet(b,sF2)),
    inference(forward_demodulation,[],[f34671,f31672]) ).

fof(f38745,plain,
    ! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(meet(X2,X1),X0),
    inference(superposition,[],[f4,f7250]) ).

fof(f40323,plain,
    join(meet(b,sF2),sF0) = join(meet(b,sF2),meet(sF0,sF4)),
    inference(superposition,[],[f17534,f34879]) ).

fof(f40561,plain,
    join(meet(b,sF2),sF0) = join(meet(sF0,sF4),meet(sF2,b)),
    inference(forward_demodulation,[],[f40323,f38745]) ).

fof(f40681,plain,
    join(meet(b,sF2),sF0) = join(meet(sF0,sF4),meet(b,sF2)),
    inference(forward_demodulation,[],[f40561,f7250]) ).

fof(f40786,plain,
    join(meet(b,sF2),sF0) = join(meet(sF0,sF1),meet(b,sF2)),
    inference(forward_demodulation,[],[f40681,f2833]) ).

fof(f40870,plain,
    join(meet(b,sF2),sF0) = meet(sF2,join(b,meet(sF0,sF1))),
    inference(forward_demodulation,[],[f40786,f3682]) ).

fof(f40931,plain,
    meet(sF2,sF1) = join(meet(b,sF2),sF0),
    inference(forward_demodulation,[],[f40870,f31876]) ).

fof(f40975,plain,
    meet(sF2,sF1) = join(sF0,meet(sF2,b)),
    inference(forward_demodulation,[],[f40931,f38745]) ).

fof(f41005,plain,
    meet(sF2,sF1) = join(sF0,meet(b,sF2)),
    inference(forward_demodulation,[],[f40975,f7250]) ).

fof(f41021,plain,
    sF4 = meet(sF2,sF1),
    inference(forward_demodulation,[],[f41005,f34879]) ).

fof(f41030,plain,
    sF4 = meet(sF1,sF2),
    inference(forward_demodulation,[],[f41021,f3]) ).

fof(f41039,plain,
    sF2 = sF4,
    inference(forward_demodulation,[],[f41030,f281]) ).

fof(f41047,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f41039,f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LAT022-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36  % Computer : n011.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 27 13:57:00 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.96/3.72  % (2428279)Will run a generic schedule for satisfiability detection.
% 21.96/3.72  % (2428290)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3368539909:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 21.96/3.72  % (2428285)% WARNING: option uhcvi not known.
% 21.96/3.72  % (2428286)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=102358939:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 21.96/3.72  % (2428285)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3921727688:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 21.96/3.72  % (2428287)dis+10_1_sil=32000:sp=arity:random_seed=3278165057:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 21.96/3.72  % (2428288)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=899549374:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 21.96/3.72  % (2428289)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3148558444:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 21.96/3.72  % (2428284)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1071900526_2999 on theBenchmark for (2999ds/0Mi)
% 21.96/3.72  % TRYING [1]
% 21.96/3.72  % TRYING [2]
% 21.96/3.72  % TRYING [3]
% 21.96/3.72  % TRYING [4]
% 21.96/3.72  % (2428290)Instruction limit reached! 
% 21.96/3.72  % (2428290)------------------------------
% 21.96/3.72  % (2428290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.72  % (2428290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.72  % (2428290)CaDiCaL version: 2.1.3
% 21.96/3.72  % (2428290)Termination reason: Instruction limit
% 21.96/3.72  % (2428290)Termination phase: Saturation
% 21.96/3.72  % (2428290)Time elapsed: 0.049 s
% 21.96/3.72  % (2428290)Peak memory usage: 12 MB
% 21.96/3.72  % (2428290)Instructions burned: 160 (million)
% 21.96/3.72  % (2428298)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=546493470:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 21.96/3.72  % TRYING [1]
% 21.96/3.72  % TRYING [2]
% 21.96/3.72  % TRYING [3]
% 21.96/3.72  % (2428287)Instruction limit reached! 
% 21.96/3.72  % (2428287)------------------------------
% 21.96/3.72  % (2428287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.72  % (2428287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.72  % (2428287)CaDiCaL version: 2.1.3
% 21.96/3.72  % (2428287)Termination reason: Instruction limit
% 21.96/3.72  % (2428287)Termination phase: Saturation
% 21.96/3.72  % (2428287)Time elapsed: 0.058 s
% 21.96/3.72  % (2428287)Peak memory usage: 12 MB
% 21.96/3.72  % (2428287)Instructions burned: 103 (million)
% 21.96/3.72  % TRYING [4]
% 21.96/3.72  % (2428288)Instruction limit reached! 
% 21.96/3.72  % (2428288)------------------------------
% 21.96/3.72  % (2428288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.72  % (2428288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.72  % (2428288)CaDiCaL version: 2.1.3
% 21.96/3.72  % (2428288)Termination reason: Instruction limit
% 21.96/3.72  % (2428288)Termination phase: Saturation
% 21.96/3.72  % (2428288)Time elapsed: 0.068 s
% 21.96/3.72  % (2428288)Peak memory usage: 12 MB
% 21.96/3.72  % (2428288)Instructions burned: 117 (million)
% 21.96/3.72  % (2428300)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=417847140:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 21.96/3.72  % (2428289)Instruction limit reached! 
% 21.96/3.72  % (2428289)------------------------------
% 21.96/3.72  % (2428289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.72  % (2428289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.72  % (2428289)CaDiCaL version: 2.1.3
% 21.96/3.72  % (2428289)Termination reason: Instruction limit
% 21.96/3.72  % (2428289)Termination phase: Saturation
% 21.96/3.72  % (2428289)Time elapsed: 0.079 s
% 21.96/3.72  % (2428289)Peak memory usage: 12 MB
% 21.96/3.72  % (2428289)Instructions burned: 132 (million)
% 21.96/3.72  % TRYING [5]
% 21.96/3.72  % (2428301)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=473591597:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 21.96/3.72  % (2428303)ott-21_1_sil=16000:fs=off:random_seed=2751497784:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 21.96/3.72  % TRYING [5]
% 21.96/3.72  % (2428300)Instruction limit reached! 
% 21.96/3.72  % (2428300)------------------------------
% 21.96/3.72  % (2428300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428300)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428300)Termination reason: Instruction limit
% 28.82/8.44  % (2428300)Termination phase: Saturation
% 28.82/8.44  % (2428300)Time elapsed: 0.083 s
% 28.82/8.44  % (2428300)Peak memory usage: 12 MB
% 28.82/8.44  % (2428300)Instructions burned: 132 (million)
% 28.82/8.44  % (2428303)Instruction limit reached! 
% 28.82/8.44  % (2428303)------------------------------
% 28.82/8.44  % (2428303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428303)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428303)Termination reason: Instruction limit
% 28.82/8.44  % (2428303)Termination phase: Saturation
% 28.82/8.44  % (2428303)Time elapsed: 0.094 s
% 28.82/8.44  % (2428303)Peak memory usage: 11 MB
% 28.82/8.44  % (2428303)Instructions burned: 181 (million)
% 28.82/8.44  % (2428312)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3916020483:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 28.82/8.44  % TRYING [6]
% 28.82/8.44  % (2428315)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2887902506:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 28.82/8.44  % TRYING [1]
% 28.82/8.44  % TRYING [2]
% 28.82/8.44  % TRYING [3]
% 28.82/8.44  % TRYING [4]
% 28.82/8.44  % (2428298)Instruction limit reached! 
% 28.82/8.44  % (2428298)------------------------------
% 28.82/8.44  % (2428298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428298)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428298)Termination reason: Instruction limit
% 28.82/8.44  % (2428298)Termination phase: Finite model building constraint generation
% 28.82/8.44  % (2428298)Time elapsed: 0.215 s
% 28.82/8.44  % (2428298)Peak memory usage: 25 MB
% 28.82/8.44  % (2428298)Instructions burned: 715 (million)
% 28.82/8.44  % (2428318)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2291598625:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 28.82/8.44  % TRYING [6]
% 28.82/8.44  % TRYING [5]
% 28.82/8.44  % (2428301)Instruction limit reached! 
% 28.82/8.44  % (2428301)------------------------------
% 28.82/8.44  % (2428301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428301)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428301)Termination reason: Instruction limit
% 28.82/8.44  % (2428301)Termination phase: Saturation
% 28.82/8.44  % (2428301)Time elapsed: 0.486 s
% 28.82/8.44  % (2428301)Peak memory usage: 15 MB
% 28.82/8.44  % (2428301)Instructions burned: 685 (million)
% 28.82/8.44  % (2428312)Instruction limit reached! 
% 28.82/8.44  % (2428312)------------------------------
% 28.82/8.44  % (2428312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428312)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428312)Termination reason: Instruction limit
% 28.82/8.44  % (2428312)Termination phase: Saturation
% 28.82/8.44  % (2428312)Time elapsed: 0.391 s
% 28.82/8.44  % (2428312)Peak memory usage: 15 MB
% 28.82/8.44  % (2428312)Instructions burned: 477 (million)
% 28.82/8.44  % (2428328)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3607313704:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 28.82/8.44  % (2428329)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=254624028:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 28.82/8.44  % (2428315)Instruction limit reached! 
% 28.82/8.44  % (2428315)------------------------------
% 28.82/8.44  % (2428315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428315)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428315)Termination reason: Instruction limit
% 28.82/8.44  % (2428315)Termination phase: Finite model building SAT solving
% 28.82/8.44  % (2428315)Time elapsed: 0.530 s
% 28.82/8.44  % (2428315)Peak memory usage: 21 MB
% 28.82/8.44  % (2428315)Instructions burned: 866 (million)
% 28.82/8.44  % (2428333)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4247530597:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 28.82/8.44  % TRYING [14]
% 28.82/8.44  % TRYING [7]
% 28.82/8.44  % (2428318)Instruction limit reached! 
% 28.82/8.44  % (2428318)------------------------------
% 28.82/8.44  % (2428318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428318)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428318)Termination reason: Instruction limit
% 28.82/8.44  % (2428318)Termination phase: Saturation
% 28.82/8.44  % (2428318)Time elapsed: 0.764 s
% 28.82/8.44  % (2428318)Peak memory usage: 23 MB
% 28.82/8.44  % (2428318)Instructions burned: 1179 (million)
% 28.82/8.44  % (2428338)fmb+10_1_sil=64000:random_seed=241609894:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 28.82/8.44  % TRYING [1]
% 28.82/8.44  % TRYING [2]
% 28.82/8.44  % TRYING [3]
% 28.82/8.44  % TRYING [4]
% 28.82/8.44  % (2428333)Instruction limit reached! 
% 28.82/8.44  % (2428333)------------------------------
% 28.82/8.44  % (2428333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428333)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428333)Termination reason: Instruction limit
% 28.82/8.44  % (2428333)Termination phase: Saturation
% 28.82/8.44  % (2428333)Time elapsed: 0.392 s
% 28.82/8.44  % (2428333)Peak memory usage: 18 MB
% 28.82/8.44  % (2428333)Instructions burned: 880 (million)
% 28.82/8.44  % (2428341)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4096820900:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 28.82/8.44  % (2428329)Instruction limit reached! 
% 28.82/8.44  % (2428329)------------------------------
% 28.82/8.44  % (2428329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428329)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428329)Termination reason: Instruction limit
% 28.82/8.44  % (2428329)Termination phase: Saturation
% 28.82/8.44  % (2428329)Time elapsed: 0.560 s
% 28.82/8.44  % (2428329)Peak memory usage: 15 MB
% 28.82/8.44  % (2428329)Instructions burned: 693 (million)
% 28.82/8.44  % TRYING [20]
% 28.82/8.44  % (2428343)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1928131438:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 28.82/8.44  % TRYING [8]
% 28.82/8.44  % (2428328)Instruction limit reached! 
% 28.82/8.44  % (2428328)------------------------------
% 28.82/8.44  % (2428328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428328)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428328)Termination reason: Instruction limit
% 28.82/8.44  % (2428328)Termination phase: Finite model building constraint generation
% 28.82/8.44  % (2428328)Time elapsed: 0.651 s
% 28.82/8.44  % (2428328)Peak memory usage: 85 MB
% 28.82/8.44  % (2428328)Instructions burned: 889 (million)
% 28.82/8.44  % TRYING [5]
% 28.82/8.44  % (2428345)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2700020991:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 28.82/8.44  % TRYING [6]
% 28.82/8.44  % (2428343)Instruction limit reached! 
% 28.82/8.44  % (2428343)------------------------------
% 28.82/8.44  % (2428343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428343)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428343)Termination reason: Instruction limit
% 28.82/8.44  % (2428343)Termination phase: Finite model building constraint generation
% 28.82/8.44  % (2428343)Time elapsed: 0.638 s
% 28.82/8.44  % (2428343)Peak memory usage: 73 MB
% 28.82/8.44  % (2428343)Instructions burned: 921 (million)
% 28.82/8.44  % (2428351)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1304066044:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 28.82/8.44  % TRYING [8]
% 28.82/8.44  % (2428351)Instruction limit reached! 
% 28.82/8.44  % (2428351)------------------------------
% 28.82/8.44  % (2428351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428351)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428351)Termination reason: Instruction limit
% 28.82/8.44  % (2428351)Termination phase: Saturation
% 28.82/8.44  % (2428351)Time elapsed: 1.337 s
% 28.82/8.44  % (2428351)Peak memory usage: 26 MB
% 28.82/8.44  % (2428351)Instructions burned: 1473 (million)
% 28.82/8.44  % TRYING [7]
% 28.82/8.44  % (2428357)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1787989324:i=6324_2967 on theBenchmark for (2967ds/6324Mi)
% 28.82/8.44  % TRYING [77]
% 28.82/8.44  % (2428341)Instruction limit reached! 
% 28.82/8.44  % (2428341)------------------------------
% 28.82/8.44  % (2428341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428341)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428341)Termination reason: Instruction limit
% 28.82/8.44  % (2428341)Termination phase: Finite model building constraint generation
% 28.82/8.44  % (2428341)Time elapsed: 3.597 s
% 28.82/8.44  % (2428341)Peak memory usage: 663 MB
% 28.82/8.44  % (2428341)Instructions burned: 9516 (million)
% 28.82/8.44  % (2428359)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3176286819:fmbsr=2.30978:i=2174_2950 on theBenchmark for (2950ds/2174Mi)
% 28.82/8.44  % TRYING [16]
% 28.82/8.44  % TRYING [9]
% 28.82/8.44  % (2428359)Instruction limit reached! 
% 28.82/8.44  % (2428359)------------------------------
% 28.82/8.44  % (2428359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428359)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428359)Termination reason: Instruction limit
% 28.82/8.44  % (2428359)Termination phase: Finite model building constraint generation
% 28.82/8.44  % (2428359)Time elapsed: 0.782 s
% 28.82/8.44  % (2428359)Peak memory usage: 133 MB
% 28.82/8.44  % (2428359)Instructions burned: 2174 (million)
% 28.82/8.44  % (2428363)ott-2_1_sil=16000:newcnf=on:random_seed=1087053790:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2942 on theBenchmark for (2942ds/869Mi)
% 28.82/8.44  % (2428345)Instruction limit reached! 
% 28.82/8.44  % (2428345)------------------------------
% 28.82/8.44  % (2428345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428345)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428345)Termination reason: Instruction limit
% 28.82/8.44  % (2428345)Termination phase: Saturation
% 28.82/8.44  % (2428345)Time elapsed: 4.692 s
% 28.82/8.44  % (2428345)Peak memory usage: 56 MB
% 28.82/8.44  % (2428345)Instructions burned: 5131 (million)
% 28.82/8.44  % (2428367)ott+10_1_sil=32000:tgt=ground:random_seed=2409505576:i=5114:av=off_2939 on theBenchmark for (2939ds/5114Mi)
% 28.82/8.44  % (2428363)Instruction limit reached! 
% 28.82/8.44  % (2428363)------------------------------
% 28.82/8.44  % (2428363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428363)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428363)Termination reason: Instruction limit
% 28.82/8.44  % (2428363)Termination phase: Saturation
% 28.82/8.44  % (2428363)Time elapsed: 0.438 s
% 28.82/8.44  % (2428363)Peak memory usage: 19 MB
% 28.82/8.44  % (2428363)Instructions burned: 869 (million)
% 28.82/8.44  % (2428369)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2998406552:i=54282_2938 on theBenchmark for (2938ds/54282Mi)
% 28.82/8.44  % TRYING [1]
% 28.82/8.44  % TRYING [2]
% 28.82/8.44  % TRYING [3]
% 28.82/8.44  % TRYING [4]
% 28.82/8.44  % TRYING [5]
% 28.82/8.44  % TRYING [6]
% 28.82/8.44  % TRYING [7]
% 28.82/8.44  % TRYING [8]
% 28.82/8.44  % TRYING [8]
% 28.82/8.44  % (2428357)Instruction limit reached! 
% 28.82/8.44  % (2428357)------------------------------
% 28.82/8.44  % (2428357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428357)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428357)Termination reason: Instruction limit
% 28.82/8.44  % (2428357)Termination phase: Finite model building constraint generation
% 28.82/8.44  % (2428357)Time elapsed: 4.587 s
% 28.82/8.44  % (2428357)Peak memory usage: 429 MB
% 28.82/8.44  % (2428357)Instructions burned: 6325 (million)
% 28.82/8.44  % (2428367) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2428279-2428367"...
% 28.82/8.44  % (2428367)...printing done.
% 28.82/8.44  % (2428367)Refutation found. Thanks to Tanya!
% 28.82/8.44  % SZS status Unsatisfiable for theBenchmark
% 28.82/8.44  % SZS output start Proof for theBenchmark
% See solution above
% 28.82/8.44  % (2428367)------------------------------
% 28.82/8.44  % (2428367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.82/8.44  % (2428367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.82/8.44  % (2428367)CaDiCaL version: 2.1.3
% 28.82/8.44  % (2428367)Termination reason: Refutation
% 28.82/8.44  % (2428367)Time elapsed: 1.886 s
% 28.82/8.44  % (2428367)Peak memory usage: 32 MB
% 28.82/8.44  % (2428367)Instructions burned: 1834 (million)
% 28.82/8.44  % (2428279)Success in time 8.035 s
% 28.82/8.44  % Vampire exiting
%------------------------------------------------------------------------------