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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : REL011+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 12:34:16 PM UTC 2026

% Result   : Theorem 2.62s 6.44s
% Output   : Refutation 2.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  122 ( 118 unt;   0 def)
%            Number of atoms       :  126 ( 125 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  111 ( 108   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).

fof(f3,axiom,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).

fof(f4,axiom,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).

fof(f5,axiom,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_associativity) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).

fof(f7,axiom,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).

fof(f11,axiom,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).

fof(f12,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).

fof(f13,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).

fof(f14,axiom,
    ! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+1.ax',dedekind_law) ).

fof(f17,conjecture,
    ! [X0,X1,X2] :
      ( meet(X0,composition(converse(X1),X2)) = zero
     => meet(composition(X1,X0),X2) = zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( meet(X0,composition(converse(X1),X2)) = zero
       => meet(composition(X1,X0),X2) = zero ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ? [X0,X1,X2] :
      ( zero != meet(composition(X1,X0),X2)
      & meet(X0,composition(converse(X1),X2)) = zero ),
    inference(ennf_transformation,[],[f18]) ).

fof(f20,plain,
    ( zero != meet(composition(sK1,sK0),sK2)
    & zero = meet(sK0,composition(converse(sK1),sK2)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).

fof(f21,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f22,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[],[f2]) ).

fof(f23,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f24,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    inference(cnf_transformation,[],[f4]) ).

fof(f25,plain,
    ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f27,plain,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(cnf_transformation,[],[f7]) ).

fof(f28,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

fof(f29,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[],[f9]) ).

fof(f31,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(cnf_transformation,[],[f11]) ).

fof(f32,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f33,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f34,plain,
    ! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
    inference(cnf_transformation,[],[f14]) ).

fof(f37,plain,
    zero = meet(sK0,composition(converse(sK1),sK2)),
    inference(cnf_transformation,[],[f20]) ).

fof(f38,plain,
    zero != meet(composition(sK1,sK0),sK2),
    inference(cnf_transformation,[],[f20]) ).

fof(f39,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f33,f24]) ).

fof(f40,plain,
    ! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
    inference(definition_unfolding,[],[f34,f24,f24,f24,f24,f24]) ).

fof(f43,plain,
    zero != complement(join(complement(composition(sK1,sK0)),complement(sK2))),
    inference(definition_unfolding,[],[f38,f24]) ).

fof(f44,plain,
    zero = complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))),
    inference(definition_unfolding,[],[f37,f24]) ).

fof(f45,plain,
    top = join(join(complement(sK0),complement(composition(converse(sK1),sK2))),zero),
    inference(superposition,[],[f32,f44]) ).

fof(f46,plain,
    zero != complement(join(complement(sK2),complement(composition(sK1,sK0)))),
    inference(backward_demodulation,[],[f43,f21]) ).

fof(f47,plain,
    top = join(zero,join(complement(sK0),complement(composition(converse(sK1),sK2)))),
    inference(backward_demodulation,[],[f45,f21]) ).

fof(f48,plain,
    zero = complement(top),
    inference(forward_demodulation,[],[f39,f32]) ).

fof(f49,plain,
    top = join(top,zero),
    inference(superposition,[],[f32,f48]) ).

fof(f50,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[],[f29,f28]) ).

fof(f51,plain,
    ! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
    inference(superposition,[],[f29,f28]) ).

fof(f61,plain,
    ! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[],[f50,f32]) ).

fof(f81,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[],[f22,f32]) ).

fof(f125,plain,
    ! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
    inference(superposition,[],[f25,f26]) ).

fof(f178,plain,
    ! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
    inference(forward_demodulation,[],[f31,f21]) ).

fof(f206,plain,
    ! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,join(complement(sK0),complement(composition(converse(sK1),sK2))))))),
    inference(superposition,[],[f178,f44]) ).

fof(f235,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(forward_demodulation,[],[f23,f21]) ).

fof(f274,plain,
    ! [X0] : join(complement(sK0),complement(composition(converse(sK1),sK2))) = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
    inference(superposition,[],[f235,f44]) ).

fof(f279,plain,
    ! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
    inference(superposition,[],[f235,f32]) ).

fof(f285,plain,
    ! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
    inference(forward_demodulation,[],[f279,f21]) ).

fof(f290,plain,
    ! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(forward_demodulation,[],[f285,f48]) ).

fof(f490,plain,
    composition(complement(join(complement(sK1),complement(composition(sK2,converse(sK0))))),zero) = join(complement(join(complement(composition(sK1,sK0)),complement(sK2))),composition(complement(join(complement(sK1),complement(composition(sK2,converse(sK0))))),zero)),
    inference(superposition,[],[f40,f44]) ).

fof(f493,plain,
    composition(complement(join(complement(sK1),complement(composition(sK2,converse(sK0))))),zero) = join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),composition(complement(join(complement(sK1),complement(composition(sK2,converse(sK0))))),zero)),
    inference(forward_demodulation,[],[f490,f21]) ).

fof(f544,plain,
    join(complement(sK0),complement(composition(converse(sK1),sK2))) = join(complement(join(zero,zero)),complement(top)),
    inference(superposition,[],[f274,f32]) ).

fof(f551,plain,
    join(complement(sK0),complement(composition(converse(sK1),sK2))) = join(complement(top),complement(join(zero,zero))),
    inference(forward_demodulation,[],[f544,f21]) ).

fof(f559,plain,
    join(complement(sK0),complement(composition(converse(sK1),sK2))) = join(zero,complement(join(zero,zero))),
    inference(forward_demodulation,[],[f551,f48]) ).

fof(f570,plain,
    ! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,join(zero,complement(join(zero,zero))))))),
    inference(backward_demodulation,[],[f206,f559]) ).

fof(f571,plain,
    top = join(zero,join(zero,complement(join(zero,zero)))),
    inference(backward_demodulation,[],[f47,f559]) ).

fof(f572,plain,
    zero = complement(join(zero,complement(join(zero,zero)))),
    inference(backward_demodulation,[],[f44,f559]) ).

fof(f591,plain,
    ! [X0] : join(complement(join(complement(X0),join(zero,complement(join(zero,zero))))),complement(join(complement(X0),zero))) = X0,
    inference(superposition,[],[f235,f572]) ).

fof(f598,plain,
    ! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(zero,complement(join(zero,zero)))))) = X0,
    inference(forward_demodulation,[],[f591,f21]) ).

fof(f601,plain,
    ! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(zero,complement(join(zero,zero)))))) = X0,
    inference(forward_demodulation,[],[f598,f21]) ).

fof(f602,plain,
    ! [X0] : join(top,X0) = join(zero,join(join(zero,complement(join(zero,zero))),X0)),
    inference(superposition,[],[f22,f571]) ).

fof(f603,plain,
    ! [X0] : join(top,X0) = join(zero,join(zero,join(complement(join(zero,zero)),X0))),
    inference(forward_demodulation,[],[f602,f22]) ).

fof(f610,plain,
    ! [X0] : join(top,X0) = join(zero,join(zero,join(X0,complement(join(zero,zero))))),
    inference(superposition,[],[f603,f21]) ).

fof(f714,plain,
    join(zero,join(zero,top)) = join(top,join(zero,zero)),
    inference(superposition,[],[f610,f32]) ).

fof(f724,plain,
    join(zero,join(top,zero)) = join(top,join(zero,zero)),
    inference(forward_demodulation,[],[f714,f21]) ).

fof(f726,plain,
    join(zero,top) = join(top,join(zero,zero)),
    inference(forward_demodulation,[],[f724,f49]) ).

fof(f728,plain,
    join(top,zero) = join(top,join(zero,zero)),
    inference(forward_demodulation,[],[f726,f21]) ).

fof(f729,plain,
    top = join(top,join(zero,zero)),
    inference(forward_demodulation,[],[f728,f49]) ).

fof(f730,plain,
    ! [X0] : join(top,X0) = join(top,join(join(zero,zero),X0)),
    inference(superposition,[],[f22,f729]) ).

fof(f731,plain,
    ! [X0] : join(top,X0) = join(top,join(zero,join(zero,X0))),
    inference(forward_demodulation,[],[f730,f22]) ).

fof(f747,plain,
    join(top,join(zero,top)) = join(top,complement(zero)),
    inference(superposition,[],[f731,f32]) ).

fof(f758,plain,
    join(top,complement(zero)) = join(top,join(top,zero)),
    inference(forward_demodulation,[],[f747,f21]) ).

fof(f763,plain,
    join(top,top) = join(top,complement(zero)),
    inference(forward_demodulation,[],[f758,f49]) ).

fof(f787,plain,
    top = join(complement(join(zero,zero)),complement(join(zero,join(zero,complement(join(zero,zero)))))),
    inference(superposition,[],[f601,f48]) ).

fof(f798,plain,
    top = join(complement(join(zero,zero)),complement(top)),
    inference(forward_demodulation,[],[f787,f571]) ).

fof(f803,plain,
    top = join(complement(top),complement(join(zero,zero))),
    inference(forward_demodulation,[],[f798,f21]) ).

fof(f806,plain,
    top = join(zero,complement(join(zero,zero))),
    inference(forward_demodulation,[],[f803,f48]) ).

fof(f808,plain,
    ! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
    inference(backward_demodulation,[],[f601,f806]) ).

fof(f810,plain,
    ! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
    inference(backward_demodulation,[],[f570,f806]) ).

fof(f820,plain,
    ! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
    inference(forward_demodulation,[],[f808,f21]) ).

fof(f823,plain,
    ! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
    inference(forward_demodulation,[],[f820,f21]) ).

fof(f948,plain,
    zero = join(complement(join(top,complement(zero))),complement(top)),
    inference(superposition,[],[f823,f32]) ).

fof(f953,plain,
    zero = join(complement(top),complement(join(top,complement(zero)))),
    inference(forward_demodulation,[],[f948,f21]) ).

fof(f965,plain,
    zero = join(complement(top),complement(join(top,top))),
    inference(forward_demodulation,[],[f953,f763]) ).

fof(f973,plain,
    zero = join(zero,complement(join(top,top))),
    inference(forward_demodulation,[],[f965,f48]) ).

fof(f980,plain,
    join(top,join(zero,zero)) = join(top,complement(join(top,top))),
    inference(superposition,[],[f731,f973]) ).

fof(f982,plain,
    top = join(top,complement(join(top,top))),
    inference(forward_demodulation,[],[f980,f729]) ).

fof(f986,plain,
    join(top,top) = join(complement(top),complement(join(zero,complement(join(top,top))))),
    inference(superposition,[],[f823,f982]) ).

fof(f988,plain,
    join(top,top) = join(complement(top),complement(zero)),
    inference(forward_demodulation,[],[f986,f973]) ).

fof(f989,plain,
    join(top,top) = join(zero,complement(zero)),
    inference(forward_demodulation,[],[f988,f48]) ).

fof(f990,plain,
    top = join(top,top),
    inference(forward_demodulation,[],[f989,f32]) ).

fof(f999,plain,
    zero = join(zero,complement(top)),
    inference(backward_demodulation,[],[f973,f990]) ).

fof(f1001,plain,
    ! [X0] : join(top,X0) = join(top,join(top,X0)),
    inference(superposition,[],[f22,f990]) ).

fof(f1002,plain,
    zero = join(zero,zero),
    inference(forward_demodulation,[],[f999,f48]) ).

fof(f1021,plain,
    ! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
    inference(superposition,[],[f22,f1002]) ).

fof(f1342,plain,
    converse(top) = join(top,converse(top)),
    inference(superposition,[],[f1001,f61]) ).

fof(f2006,plain,
    converse(converse(top)) = join(converse(top),top),
    inference(superposition,[],[f51,f1342]) ).

fof(f2058,plain,
    converse(converse(top)) = join(top,converse(top)),
    inference(forward_demodulation,[],[f2006,f21]) ).

fof(f2070,plain,
    converse(top) = converse(converse(top)),
    inference(forward_demodulation,[],[f2058,f1342]) ).

fof(f2073,plain,
    top = converse(top),
    inference(forward_demodulation,[],[f2070,f28]) ).

fof(f3967,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(superposition,[],[f1021,f290]) ).

fof(f3988,plain,
    ! [X0] : complement(join(complement(X0),complement(X0))) = X0,
    inference(backward_demodulation,[],[f290,f3967]) ).

fof(f4001,plain,
    ! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
    inference(backward_demodulation,[],[f810,f3967]) ).

fof(f4090,plain,
    ! [X0] : top = join(join(complement(X0),complement(X0)),X0),
    inference(superposition,[],[f32,f3988]) ).

fof(f4106,plain,
    ! [X0] : top = join(X0,join(complement(X0),complement(X0))),
    inference(forward_demodulation,[],[f4090,f21]) ).

fof(f4119,plain,
    ! [X0] : top = join(top,complement(X0)),
    inference(forward_demodulation,[],[f4106,f81]) ).

fof(f4179,plain,
    ! [X0] : top = join(top,X0),
    inference(superposition,[],[f4119,f3988]) ).

fof(f4204,plain,
    zero = composition(top,complement(composition(top,top))),
    inference(superposition,[],[f4001,f2073]) ).

fof(f5100,plain,
    ! [X0] : composition(join(top,X0),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
    inference(superposition,[],[f27,f4204]) ).

fof(f5110,plain,
    ! [X0] : composition(X0,complement(composition(top,top))) = composition(join(top,X0),complement(composition(top,top))),
    inference(forward_demodulation,[],[f5100,f3967]) ).

fof(f5117,plain,
    ! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
    inference(forward_demodulation,[],[f5110,f4179]) ).

fof(f5123,plain,
    ! [X0] : zero = composition(X0,complement(composition(top,top))),
    inference(forward_demodulation,[],[f5117,f4204]) ).

fof(f5153,plain,
    ! [X0] : composition(X0,zero) = composition(X0,complement(composition(top,top))),
    inference(superposition,[],[f125,f5123]) ).

fof(f5165,plain,
    ! [X0] : zero = composition(X0,zero),
    inference(forward_demodulation,[],[f5153,f5123]) ).

fof(f5208,plain,
    zero = join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),zero),
    inference(backward_demodulation,[],[f493,f5165]) ).

fof(f5243,plain,
    zero = join(zero,complement(join(complement(sK2),complement(composition(sK1,sK0))))),
    inference(forward_demodulation,[],[f5208,f21]) ).

fof(f5254,plain,
    zero = complement(join(complement(sK2),complement(composition(sK1,sK0)))),
    inference(forward_demodulation,[],[f5243,f3967]) ).

fof(f5264,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f5254,f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : REL011+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/6.01  % Computer : n006.cluster.edu
% 0.12/6.01  % Model    : x86_64 x86_64
% 0.12/6.01  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/6.01  % Memory   : 8046.5625MB
% 0.12/6.01  % OS       : Linux 6.8.0-71-generic
% 0.12/6.01  % CPULimit : 300
% 0.12/6.01  % WCLimit  : 300
% 0.12/6.01  % DateTime : Sun Sep 27 22:51:04 UTC 2026
% 0.12/6.02  % CPUTime  : 
% 0.12/6.02  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/6.05  Running first-order model finding
% 0.16/6.05  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/6.44  % (3415387)Will run a generic schedule for satisfiability detection.
% 2.62/6.44  % (3415397)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3348208037:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.62/6.44  % (3415393)% WARNING: option uhcvi not known.
% 2.62/6.44  % (3415392)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=422328254_2999 on theBenchmark for (2999ds/0Mi)
% 2.62/6.44  % (3415394)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1903760072:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.62/6.44  % (3415393)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3671221112:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.62/6.44  % (3415395)dis+10_1_sil=32000:sp=arity:random_seed=1456033080:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.62/6.44  % (3415396)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=322761994:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.62/6.44  % (3415398)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4172091825:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.62/6.44  % TRYING [1]
% 2.62/6.44  % TRYING [2]
% 2.62/6.44  % TRYING [3]
% 2.62/6.44  % (3415397)Instruction limit reached! 
% 2.62/6.44  % (3415397)------------------------------
% 2.62/6.44  % (3415397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/6.44  % (3415397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/6.44  % (3415397)CaDiCaL version: 2.1.3
% 2.62/6.44  % (3415397)Termination reason: Instruction limit
% 2.62/6.44  % (3415397)Termination phase: Saturation
% 2.62/6.44  % (3415397)Time elapsed: 0.043 s
% 2.62/6.44  % (3415397)Peak memory usage: 13 MB
% 2.62/6.44  % (3415397)Instructions burned: 134 (million)
% 2.62/6.44  % TRYING [4]
% 2.62/6.44  % (3415406)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3477502168:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.62/6.44  % TRYING [1]
% 2.62/6.44  % TRYING [2]
% 2.62/6.44  % TRYING [3]
% 2.62/6.44  % (3415395)Instruction limit reached! 
% 2.62/6.44  % (3415395)------------------------------
% 2.62/6.44  % (3415395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/6.44  % (3415395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/6.44  % (3415395)CaDiCaL version: 2.1.3
% 2.62/6.44  % (3415395)Termination reason: Instruction limit
% 2.62/6.44  % (3415395)Termination phase: Saturation
% 2.62/6.44  % (3415395)Time elapsed: 0.058 s
% 2.62/6.44  % (3415395)Peak memory usage: 12 MB
% 2.62/6.44  % (3415395)Instructions burned: 104 (million)
% 2.62/6.44  % (3415396)Instruction limit reached! 
% 2.62/6.44  % (3415396)------------------------------
% 2.62/6.44  % (3415396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/6.44  % (3415396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/6.44  % (3415396)CaDiCaL version: 2.1.3
% 2.62/6.44  % (3415396)Termination reason: Instruction limit
% 2.62/6.44  % (3415396)Termination phase: Saturation
% 2.62/6.44  % (3415396)Time elapsed: 0.069 s
% 2.62/6.44  % (3415396)Peak memory usage: 13 MB
% 2.62/6.44  % (3415396)Instructions burned: 116 (million)
% 2.62/6.44  % TRYING [4]
% 2.62/6.44  % (3415408)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1923435209:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.62/6.44  % (3415409)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=1684529530:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.62/6.44  % (3415398)Instruction limit reached! 
% 2.62/6.44  % (3415398)------------------------------
% 2.62/6.44  % (3415398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/6.44  % (3415398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/6.44  % (3415398)CaDiCaL version: 2.1.3
% 2.62/6.44  % (3415398)Termination reason: Instruction limit
% 2.62/6.44  % (3415398)Termination phase: Saturation
% 2.62/6.44  % (3415398)Time elapsed: 0.092 s
% 2.62/6.44  % (3415398)Peak memory usage: 12 MB
% 2.62/6.44  % (3415398)Instructions burned: 159 (million)
% 2.62/6.44  % (3415412)ott-21_1_sil=16000:fs=off:random_seed=2966363402:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.62/6.44  % (3415408)Instruction limit reached! 
% 2.62/6.44  % (3415408)------------------------------
% 2.62/6.44  % (3415408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/6.44  % (3415408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/6.44  % (3415408)CaDiCaL version: 2.1.3
% 2.62/6.44  % (3415408)Termination reason: Instruction limit
% 2.62/6.44  % (3415408)Termination phase: Saturation
% 2.62/6.44  % (3415408)Time elapsed: 0.084 s
% 2.62/6.44  % (3415408)Peak memory usage: 13 MB
% 2.62/6.44  % (3415408)Instructions burned: 131 (million)
% 2.62/6.44  % TRYING [5]
% 2.62/6.44  % (3415414)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1334802796:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.62/6.44  % (3415412)Instruction limit reached! 
% 2.62/6.44  % (3415412)------------------------------
% 2.62/6.44  % (3415412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/6.44  % (3415412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/6.44  % (3415412)CaDiCaL version: 2.1.3
% 2.62/6.44  % (3415412)Termination reason: Instruction limit
% 2.62/6.44  % (3415412)Termination phase: Saturation
% 2.62/6.44  % (3415412)Time elapsed: 0.081 s
% 2.62/6.44  % (3415412)Peak memory usage: 12 MB
% 2.62/6.44  % (3415412)Instructions burned: 182 (million)
% 2.62/6.44  % (3415406)Instruction limit reached! 
% 2.62/6.44  % (3415406)------------------------------
% 2.62/6.44  % (3415406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/6.44  % (3415406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/6.44  % (3415406)CaDiCaL version: 2.1.3
% 2.62/6.44  % (3415406)Termination reason: Instruction limit
% 2.62/6.44  % (3415406)Termination phase: Finite model building constraint generation
% 2.62/6.44  % (3415406)Time elapsed: 0.157 s
% 2.62/6.44  % (3415406)Peak memory usage: 28 MB
% 2.62/6.44  % (3415406)Instructions burned: 722 (million)
% 2.62/6.44  % (3415416)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3586360185:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.62/6.44  % TRYING [1]
% 2.62/6.44  % TRYING [2]
% 2.62/6.44  % (3415417)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2701413667:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.62/6.44  % TRYING [5]
% 2.62/6.44  % TRYING [3]
% 2.62/6.44  % TRYING [4]
% 2.62/6.44  % (3415414) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3415387-3415414"...
% 2.62/6.44  % (3415414)...printing done.
% 2.62/6.44  % (3415414)Refutation found. Thanks to Tanya!
% 2.62/6.44  % SZS status Theorem for theBenchmark
% 2.62/6.44  % SZS output start Proof for theBenchmark
% See solution above
% 2.62/6.44  % (3415414)------------------------------
% 2.62/6.44  % (3415414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/6.44  % (3415414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/6.44  % (3415414)CaDiCaL version: 2.1.3
% 2.62/6.44  % (3415414)Termination reason: Refutation
% 2.62/6.44  % (3415414)Time elapsed: 0.156 s
% 2.62/6.44  % (3415414)Peak memory usage: 14 MB
% 2.62/6.44  % (3415414)Instructions burned: 280 (million)
% 2.62/6.44  % (3415387)Success in time 0.382 s
% 2.62/6.44  % Vampire exiting
%------------------------------------------------------------------------------