TSTP Solution File: KLE132+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 03:03:22 EDT 2024

% Result   : Theorem 0.87s 0.85s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   79 (  65 unt;   0 def)
%            Number of atoms       :  105 ( 104 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   41 (  15   ~;   4   |;  12   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :  105 (  97   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1275,plain,
    $false,
    inference(subsumption_resolution,[],[f1266,f91]) ).

fof(f91,plain,
    zero != antidomain(antidomain(sK1)),
    inference(definition_unfolding,[],[f57,f76]) ).

fof(f76,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',domain4) ).

fof(f57,plain,
    zero != domain(sK1),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( zero != domain(sK1)
    & forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1)))
    & ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f51,f53,f52]) ).

fof(f52,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( zero != domain(X1)
            & forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
        & ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) )
   => ( ? [X1] :
          ( zero != domain(X1)
          & forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
      & ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ( ? [X1] :
        ( zero != domain(X1)
        & forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
   => ( zero != domain(sK1)
      & forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ? [X0] :
      ( ? [X1] :
          ( zero != domain(X1)
          & forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
      & ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X2] :
          ( zero != domain(X2)
          & forward_diamond(X0,domain(X2)) = addition(domain(X2),forward_diamond(X0,domain(X2))) )
      & ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0] :
        ( ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
       => ! [X2] :
            ( forward_diamond(X0,domain(X2)) = addition(domain(X2),forward_diamond(X0,domain(X2)))
           => zero = domain(X2) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X3] :
        ( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(forward_diamond(X3,domain(X4)),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
       => ! [X5] :
            ( forward_diamond(X3,domain(X5)) = addition(domain(X5),forward_diamond(X3,domain(X5)))
           => zero = domain(X5) ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X3] :
      ( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(forward_diamond(X3,domain(X4)),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
     => ! [X5] :
          ( forward_diamond(X3,domain(X5)) = addition(domain(X5),forward_diamond(X3,domain(X5)))
         => zero = domain(X5) ) ),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',goals) ).

fof(f1266,plain,
    zero = antidomain(antidomain(sK1)),
    inference(superposition,[],[f663,f66]) ).

fof(f66,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',additive_identity) ).

fof(f663,plain,
    zero = addition(antidomain(antidomain(sK1)),zero),
    inference(forward_demodulation,[],[f662,f611]) ).

fof(f611,plain,
    zero = antidomain(antidomain(zero)),
    inference(superposition,[],[f522,f572]) ).

fof(f572,plain,
    one = antidomain(zero),
    inference(forward_demodulation,[],[f557,f66]) ).

fof(f557,plain,
    one = addition(antidomain(zero),zero),
    inference(superposition,[],[f61,f522]) ).

fof(f61,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',domain3) ).

fof(f522,plain,
    zero = antidomain(one),
    inference(superposition,[],[f485,f66]) ).

fof(f485,plain,
    ! [X0] : addition(antidomain(one),X0) = X0,
    inference(superposition,[],[f460,f80]) ).

fof(f80,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',multiplicative_right_identity) ).

fof(f460,plain,
    ! [X0,X1] : addition(multiplication(antidomain(X0),X0),X1) = X1,
    inference(superposition,[],[f433,f70]) ).

fof(f70,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',domain1) ).

fof(f433,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(forward_demodulation,[],[f425,f66]) ).

fof(f425,plain,
    ! [X0] : addition(X0,zero) = addition(zero,addition(X0,zero)),
    inference(superposition,[],[f386,f68]) ).

fof(f68,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',additive_commutativity) ).

fof(f386,plain,
    ! [X0] : addition(zero,X0) = addition(zero,addition(zero,X0)),
    inference(forward_demodulation,[],[f379,f373]) ).

fof(f373,plain,
    zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),
    inference(superposition,[],[f168,f66]) ).

fof(f168,plain,
    zero = addition(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),zero),
    inference(superposition,[],[f98,f70]) ).

fof(f98,plain,
    ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(multiplication(antidomain(antidomain(sK1)),X0),multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),
    inference(superposition,[],[f63,f92]) ).

fof(f92,plain,
    antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
    inference(definition_unfolding,[],[f56,f89,f76,f76,f89,f76]) ).

fof(f89,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f73,f76,f76]) ).

fof(f73,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',forward_diamond) ).

fof(f56,plain,
    forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))),
    inference(cnf_transformation,[],[f54]) ).

fof(f63,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',left_distributivity) ).

fof(f379,plain,
    ! [X0] : addition(zero,X0) = addition(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(zero,X0)),
    inference(superposition,[],[f67,f168]) ).

fof(f67,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',additive_associativity) ).

fof(f662,plain,
    antidomain(antidomain(zero)) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(zero))),
    inference(forward_demodulation,[],[f661,f72]) ).

fof(f72,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',right_annihilation) ).

fof(f661,plain,
    antidomain(antidomain(multiplication(star(sK0),zero))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),zero)))),
    inference(forward_demodulation,[],[f660,f611]) ).

fof(f660,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
    inference(forward_demodulation,[],[f628,f202]) ).

fof(f202,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
    inference(forward_demodulation,[],[f198,f70]) ).

fof(f198,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(divergence(sK0)))))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(divergence(sK0))))))))),
    inference(superposition,[],[f113,f95]) ).

fof(f95,plain,
    ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
    inference(definition_unfolding,[],[f77,f89]) ).

fof(f77,plain,
    ! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',divergence1) ).

fof(f113,plain,
    ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))))))))))),
    inference(superposition,[],[f93,f95]) ).

fof(f93,plain,
    ! [X2] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))))))))))),
    inference(definition_unfolding,[],[f55,f89,f88,f76,f89,f76,f89,f76,f89,f88,f76,f89,f76]) ).

fof(f88,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
    inference(definition_unfolding,[],[f74,f76]) ).

fof(f74,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3,X4] : domain_difference(X3,X4) = multiplication(domain(X3),antidomain(X4)),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',domain_difference) ).

fof(f55,plain,
    ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))),
    inference(cnf_transformation,[],[f54]) ).

fof(f628,plain,
    addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))) = addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))))),
    inference(superposition,[],[f108,f611]) ).

fof(f108,plain,
    ! [X0] : addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))),
    inference(trivial_inequality_removal,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(X0))) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(X0)))
      | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))) ),
    inference(superposition,[],[f94,f96]) ).

fof(f96,plain,
    ! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),
    inference(superposition,[],[f67,f92]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))))
      | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) ),
    inference(definition_unfolding,[],[f58,f89,f76,f76,f89,f76,f89,f76,f76,f76,f89,f76,f76]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
      | addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
      | addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( addition(forward_diamond(X1,domain(X0)),domain(X2)) = addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))
     => addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X4,X5] :
      ( addition(forward_diamond(X4,domain(X3)),domain(X5)) = addition(domain(X3),addition(forward_diamond(X4,domain(X3)),domain(X5)))
     => addition(divergence(X4),forward_diamond(star(X4),domain(X5))) = addition(domain(X3),addition(divergence(X4),forward_diamond(star(X4),domain(X5)))) ),
    file('/export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597',divergence2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 18:42:57 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.yp3upX0oS6/Vampire---4.8_10597
% 0.60/0.80  % (10709)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80  % (10712)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80  % (10711)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (10714)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80  % (10710)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.80  % (10713)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80  % (10715)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.80  % (10716)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.80  % (10713)Refutation not found, incomplete strategy% (10713)------------------------------
% 0.60/0.80  % (10713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (10713)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (10713)Memory used [KB]: 1083
% 0.60/0.80  % (10713)Time elapsed: 0.003 s
% 0.60/0.80  % (10713)Instructions burned: 3 (million)
% 0.60/0.80  % (10713)------------------------------
% 0.60/0.80  % (10713)------------------------------
% 0.60/0.80  % (10709)Refutation not found, incomplete strategy% (10709)------------------------------
% 0.60/0.80  % (10709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (10709)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (10709)Memory used [KB]: 1085
% 0.60/0.80  % (10709)Time elapsed: 0.004 s
% 0.60/0.80  % (10709)Instructions burned: 4 (million)
% 0.60/0.80  % (10709)------------------------------
% 0.60/0.80  % (10709)------------------------------
% 0.60/0.80  % (10712)Refutation not found, incomplete strategy% (10712)------------------------------
% 0.60/0.80  % (10712)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (10712)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (10712)Memory used [KB]: 1074
% 0.60/0.80  % (10712)Time elapsed: 0.004 s
% 0.60/0.80  % (10712)Instructions burned: 4 (million)
% 0.60/0.80  % (10712)------------------------------
% 0.60/0.80  % (10712)------------------------------
% 0.60/0.80  % (10716)Refutation not found, incomplete strategy% (10716)------------------------------
% 0.60/0.80  % (10716)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (10716)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (10716)Memory used [KB]: 1068
% 0.60/0.80  % (10716)Time elapsed: 0.003 s
% 0.60/0.80  % (10716)Instructions burned: 3 (million)
% 0.60/0.80  % (10716)------------------------------
% 0.60/0.80  % (10716)------------------------------
% 0.60/0.81  % (10717)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81  % (10718)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.81  % (10719)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.81  % (10720)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.81  % (10718)Refutation not found, incomplete strategy% (10718)------------------------------
% 0.60/0.81  % (10718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (10718)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (10718)Memory used [KB]: 1075
% 0.60/0.81  % (10718)Time elapsed: 0.003 s
% 0.60/0.81  % (10718)Instructions burned: 4 (million)
% 0.60/0.81  % (10718)------------------------------
% 0.60/0.81  % (10718)------------------------------
% 0.60/0.81  % (10721)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.65/0.82  % (10714)Instruction limit reached!
% 0.65/0.82  % (10714)------------------------------
% 0.65/0.82  % (10714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (10714)Termination reason: Unknown
% 0.65/0.82  % (10714)Termination phase: Saturation
% 0.65/0.82  
% 0.65/0.82  % (10714)Memory used [KB]: 1405
% 0.65/0.82  % (10714)Time elapsed: 0.021 s
% 0.65/0.82  % (10714)Instructions burned: 45 (million)
% 0.65/0.82  % (10714)------------------------------
% 0.65/0.82  % (10714)------------------------------
% 0.65/0.82  % (10723)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.65/0.82  % (10710)Instruction limit reached!
% 0.65/0.82  % (10710)------------------------------
% 0.65/0.82  % (10710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (10710)Termination reason: Unknown
% 0.65/0.82  % (10710)Termination phase: Saturation
% 0.65/0.82  
% 0.65/0.82  % (10710)Memory used [KB]: 1400
% 0.65/0.82  % (10710)Time elapsed: 0.026 s
% 0.65/0.82  % (10710)Instructions burned: 51 (million)
% 0.65/0.82  % (10710)------------------------------
% 0.65/0.82  % (10710)------------------------------
% 0.65/0.83  % (10723)Refutation not found, incomplete strategy% (10723)------------------------------
% 0.65/0.83  % (10723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83  % (10723)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83  
% 0.65/0.83  % (10723)Memory used [KB]: 1079
% 0.65/0.83  % (10723)Time elapsed: 0.003 s
% 0.65/0.83  % (10723)Instructions burned: 3 (million)
% 0.65/0.83  % (10723)------------------------------
% 0.65/0.83  % (10723)------------------------------
% 0.65/0.83  % (10724)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.65/0.83  % (10726)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.65/0.83  % (10726)Refutation not found, incomplete strategy% (10726)------------------------------
% 0.65/0.83  % (10726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83  % (10726)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83  
% 0.65/0.83  % (10726)Memory used [KB]: 1064
% 0.65/0.83  % (10726)Time elapsed: 0.003 s
% 0.65/0.83  % (10726)Instructions burned: 3 (million)
% 0.65/0.83  % (10726)------------------------------
% 0.65/0.83  % (10726)------------------------------
% 0.65/0.83  % (10717)Instruction limit reached!
% 0.65/0.83  % (10717)------------------------------
% 0.65/0.83  % (10717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83  % (10717)Termination reason: Unknown
% 0.65/0.83  % (10717)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (10717)Memory used [KB]: 1278
% 0.65/0.83  % (10717)Time elapsed: 0.027 s
% 0.65/0.83  % (10717)Instructions burned: 56 (million)
% 0.65/0.83  % (10717)------------------------------
% 0.65/0.83  % (10717)------------------------------
% 0.65/0.83  % (10727)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.65/0.83  % (10720)Instruction limit reached!
% 0.65/0.83  % (10720)------------------------------
% 0.65/0.83  % (10720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83  % (10720)Termination reason: Unknown
% 0.65/0.83  % (10720)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (10720)Memory used [KB]: 1879
% 0.65/0.83  % (10720)Time elapsed: 0.029 s
% 0.65/0.83  % (10720)Instructions burned: 53 (million)
% 0.65/0.83  % (10720)------------------------------
% 0.65/0.83  % (10720)------------------------------
% 0.65/0.84  % (10729)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.65/0.84  % (10727)Refutation not found, incomplete strategy% (10727)------------------------------
% 0.65/0.84  % (10727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (10727)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (10727)Memory used [KB]: 1086
% 0.65/0.84  % (10727)Time elapsed: 0.004 s
% 0.65/0.84  % (10727)Instructions burned: 6 (million)
% 0.65/0.84  % (10727)------------------------------
% 0.65/0.84  % (10727)------------------------------
% 0.65/0.84  % (10730)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.65/0.84  % (10715)Instruction limit reached!
% 0.65/0.84  % (10715)------------------------------
% 0.65/0.84  % (10715)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (10715)Termination reason: Unknown
% 0.65/0.84  % (10715)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (10715)Memory used [KB]: 1652
% 0.65/0.84  % (10715)Time elapsed: 0.040 s
% 0.65/0.84  % (10730)Refutation not found, incomplete strategy% (10730)------------------------------
% 0.65/0.84  % (10730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (10715)Instructions burned: 83 (million)
% 0.65/0.84  % (10715)------------------------------
% 0.65/0.84  % (10715)------------------------------
% 0.65/0.84  % (10730)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.84  
% 0.65/0.84  % (10730)Memory used [KB]: 1073
% 0.65/0.84  % (10730)Time elapsed: 0.003 s
% 0.65/0.84  % (10730)Instructions burned: 4 (million)
% 0.65/0.84  % (10730)------------------------------
% 0.65/0.84  % (10730)------------------------------
% 0.65/0.84  % (10711)Instruction limit reached!
% 0.65/0.84  % (10711)------------------------------
% 0.65/0.84  % (10711)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84  % (10711)Termination reason: Unknown
% 0.65/0.84  % (10711)Termination phase: Saturation
% 0.65/0.84  
% 0.65/0.84  % (10711)Memory used [KB]: 1937
% 0.65/0.84  % (10711)Time elapsed: 0.041 s
% 0.65/0.84  % (10711)Instructions burned: 78 (million)
% 0.65/0.84  % (10711)------------------------------
% 0.65/0.84  % (10711)------------------------------
% 0.65/0.84  % (10731)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.65/0.84  % (10732)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.65/0.84  % (10733)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.65/0.84  % (10734)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.87/0.84  % (10733)Refutation not found, incomplete strategy% (10733)------------------------------
% 0.87/0.84  % (10733)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.84  % (10733)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.84  
% 0.87/0.84  % (10733)Memory used [KB]: 1091
% 0.87/0.84  % (10733)Time elapsed: 0.004 s
% 0.87/0.85  % (10733)Instructions burned: 4 (million)
% 0.87/0.85  % (10733)------------------------------
% 0.87/0.85  % (10733)------------------------------
% 0.87/0.85  % (10735)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.87/0.85  % (10735)Refutation not found, incomplete strategy% (10735)------------------------------
% 0.87/0.85  % (10735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.85  % (10721)First to succeed.
% 0.87/0.85  % (10735)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.85  
% 0.87/0.85  % (10735)Memory used [KB]: 1069
% 0.87/0.85  % (10735)Time elapsed: 0.003 s
% 0.87/0.85  % (10735)Instructions burned: 3 (million)
% 0.87/0.85  % (10735)------------------------------
% 0.87/0.85  % (10735)------------------------------
% 0.87/0.85  % (10721)Refutation found. Thanks to Tanya!
% 0.87/0.85  % SZS status Theorem for Vampire---4
% 0.87/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.87/0.85  % (10721)------------------------------
% 0.87/0.85  % (10721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.85  % (10721)Termination reason: Refutation
% 0.87/0.85  
% 0.87/0.85  % (10721)Memory used [KB]: 1695
% 0.87/0.85  % (10721)Time elapsed: 0.042 s
% 0.87/0.85  % (10721)Instructions burned: 89 (million)
% 0.87/0.85  % (10721)------------------------------
% 0.87/0.85  % (10721)------------------------------
% 0.87/0.85  % (10707)Success in time 0.524 s
% 0.87/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------