TSTP Solution File: KLE133+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE133+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 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   71 (  62 unt;   0 def)
%            Number of atoms       :   91 (  90 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   38 (  18   ~;   0   |;  15   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   17 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   82 (  72   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f729,plain,
    $false,
    inference(trivial_inequality_removal,[],[f728]) ).

fof(f728,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))) != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))),
    inference(superposition,[],[f500,f395]) ).

fof(f395,plain,
    ! [X0] : addition(sK0,X0) = X0,
    inference(superposition,[],[f135,f346]) ).

fof(f346,plain,
    zero = sK0,
    inference(forward_demodulation,[],[f337,f62]) ).

fof(f62,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.jXv2Ref5gz/Vampire---4.8_6303',multiplicative_left_identity) ).

fof(f337,plain,
    zero = multiplication(one,sK0),
    inference(superposition,[],[f67,f332]) ).

fof(f332,plain,
    one = antidomain(sK0),
    inference(superposition,[],[f281,f135]) ).

fof(f281,plain,
    one = addition(zero,antidomain(sK0)),
    inference(superposition,[],[f69,f274]) ).

fof(f274,plain,
    zero = antidomain(antidomain(sK0)),
    inference(superposition,[],[f212,f58]) ).

fof(f58,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/tmp/tmp.jXv2Ref5gz/Vampire---4.8_6303',additive_identity) ).

fof(f212,plain,
    zero = addition(antidomain(antidomain(sK0)),zero),
    inference(forward_demodulation,[],[f211,f61]) ).

fof(f61,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/tmp/tmp.jXv2Ref5gz/Vampire---4.8_6303',multiplicative_right_identity) ).

fof(f211,plain,
    zero = addition(antidomain(antidomain(multiplication(sK0,one))),zero),
    inference(forward_demodulation,[],[f210,f108]) ).

fof(f108,plain,
    zero = antidomain(one),
    inference(superposition,[],[f67,f61]) ).

fof(f210,plain,
    antidomain(one) = addition(antidomain(antidomain(multiplication(sK0,one))),antidomain(one)),
    inference(forward_demodulation,[],[f209,f174]) ).

fof(f174,plain,
    one = antidomain(zero),
    inference(superposition,[],[f162,f58]) ).

fof(f162,plain,
    one = addition(antidomain(zero),zero),
    inference(superposition,[],[f69,f108]) ).

fof(f209,plain,
    antidomain(antidomain(zero)) = addition(antidomain(antidomain(multiplication(sK0,antidomain(zero)))),antidomain(antidomain(zero))),
    inference(forward_demodulation,[],[f208,f65]) ).

fof(f65,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox/tmp/tmp.jXv2Ref5gz/Vampire---4.8_6303',right_annihilation) ).

fof(f208,plain,
    antidomain(antidomain(multiplication(star(sK0),zero))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(zero)))),antidomain(antidomain(multiplication(star(sK0),zero)))),
    inference(forward_demodulation,[],[f186,f108]) ).

fof(f186,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(one)))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(one))))),antidomain(antidomain(multiplication(star(sK0),antidomain(one))))),
    inference(superposition,[],[f115,f174]) ).

fof(f115,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(zero)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
    inference(superposition,[],[f103,f108]) ).

fof(f103,plain,
    ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
    inference(forward_demodulation,[],[f102,f67]) ).

fof(f102,plain,
    ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))),
    inference(superposition,[],[f96,f95]) ).

fof(f95,plain,
    ! [X2] : antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))) = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2)))))))))))),
    inference(definition_unfolding,[],[f84,f90,f70,f90,f90,f70]) ).

fof(f70,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox/tmp/tmp.jXv2Ref5gz/Vampire---4.8_6303',domain4) ).

fof(f90,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f77,f70,f70]) ).

fof(f77,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,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.jXv2Ref5gz/Vampire---4.8_6303',forward_diamond) ).

fof(f84,plain,
    ! [X2] : forward_diamond(sK0,domain(X2)) = forward_diamond(sK0,forward_diamond(sK0,domain(X2))),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) != addition(forward_diamond(sK0,domain(sK1)),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))))
    & ! [X2] : forward_diamond(sK0,domain(X2)) = forward_diamond(sK0,forward_diamond(sK0,domain(X2)))
    & ! [X3] : forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3)))) = addition(domain(X3),forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3))))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f52,f54,f53]) ).

fof(f53,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)) = forward_diamond(X0,forward_diamond(X0,domain(X2)))
        & ! [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) = addition(domain(X3),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) )
   => ( ? [X1] : forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) != addition(forward_diamond(sK0,domain(X1)),forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))))
      & ! [X2] : forward_diamond(sK0,domain(X2)) = forward_diamond(sK0,forward_diamond(sK0,domain(X2)))
      & ! [X3] : forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3)))) = addition(domain(X3),forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3))))) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ( ? [X1] : forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) != addition(forward_diamond(sK0,domain(X1)),forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))))
   => forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) != addition(forward_diamond(sK0,domain(sK1)),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1))))) ),
    introduced(choice_axiom,[]) ).

fof(f52,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)) = forward_diamond(X0,forward_diamond(X0,domain(X2)))
      & ! [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) = addition(domain(X3),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) ),
    inference(rectify,[],[f51]) ).

fof(f51,plain,
    ? [X0] :
      ( ? [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) != addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))))
      & ! [X1] : forward_diamond(X0,domain(X1)) = forward_diamond(X0,forward_diamond(X0,domain(X1)))
      & ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(domain(X2),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ? [X0] :
      ( ? [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) != addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))))
      & ! [X1] : forward_diamond(X0,domain(X1)) = forward_diamond(X0,forward_diamond(X0,domain(X1)))
      & ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(domain(X2),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ ! [X0] :
        ( ( ! [X1] : forward_diamond(X0,domain(X1)) = forward_diamond(X0,forward_diamond(X0,domain(X1)))
          & ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(domain(X2),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) )
       => ! [X3] : forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) = addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X3] :
        ( ( ! [X5] : forward_diamond(X3,domain(X5)) = forward_diamond(X3,forward_diamond(X3,domain(X5)))
          & ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(domain(X4),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4))))) )
       => ! [X6] : forward_diamond(star(X3),domain_difference(domain(X6),forward_diamond(X3,domain(X6)))) = addition(forward_diamond(X3,domain(X6)),forward_diamond(star(X3),domain_difference(domain(X6),forward_diamond(X3,domain(X6))))) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X3] :
      ( ( ! [X5] : forward_diamond(X3,domain(X5)) = forward_diamond(X3,forward_diamond(X3,domain(X5)))
        & ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(domain(X4),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4))))) )
     => ! [X6] : forward_diamond(star(X3),domain_difference(domain(X6),forward_diamond(X3,domain(X6)))) = addition(forward_diamond(X3,domain(X6)),forward_diamond(star(X3),domain_difference(domain(X6),forward_diamond(X3,domain(X6))))) ),
    file('/export/starexec/sandbox/tmp/tmp.jXv2Ref5gz/Vampire---4.8_6303',goals) ).

fof(f96,plain,
    ! [X3] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X3)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X3)))))))))))))) = addition(antidomain(antidomain(X3)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X3)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X3))))))))))))))),
    inference(definition_unfolding,[],[f83,f90,f89,f70,f90,f70,f70,f90,f89,f70,f90,f70]) ).

fof(f89,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
    inference(definition_unfolding,[],[f76,f70]) ).

fof(f76,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.jXv2Ref5gz/Vampire---4.8_6303',domain_difference) ).

fof(f83,plain,
    ! [X3] : forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3)))) = addition(domain(X3),forward_diamond(star(sK0),domain_difference(domain(X3),forward_diamond(sK0,domain(X3))))),
    inference(cnf_transformation,[],[f55]) ).

fof(f69,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,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.jXv2Ref5gz/Vampire---4.8_6303',domain3) ).

fof(f67,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,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.jXv2Ref5gz/Vampire---4.8_6303',domain1) ).

fof(f135,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f56,f58]) ).

fof(f56,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.jXv2Ref5gz/Vampire---4.8_6303',additive_commutativity) ).

fof(f500,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))) != addition(sK0,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1)))))))))),
    inference(forward_demodulation,[],[f499,f346]) ).

fof(f499,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))) != addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1)))))))))),
    inference(forward_demodulation,[],[f498,f61]) ).

fof(f498,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),one)))))) != addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),one))))))),
    inference(forward_demodulation,[],[f497,f174]) ).

fof(f497,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(zero))))))) != addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(zero)))))))),
    inference(forward_demodulation,[],[f464,f274]) ).

fof(f464,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(sK0))))))))) != addition(antidomain(antidomain(sK0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(sK0)))))))))),
    inference(superposition,[],[f94,f389]) ).

fof(f389,plain,
    ! [X0] : sK0 = multiplication(sK0,X0),
    inference(superposition,[],[f66,f346]) ).

fof(f66,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox/tmp/tmp.jXv2Ref5gz/Vampire---4.8_6303',left_annihilation) ).

fof(f94,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))))) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),
    inference(definition_unfolding,[],[f85,f90,f89,f70,f90,f70,f90,f70,f90,f89,f70,f90,f70]) ).

fof(f85,plain,
    forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) != addition(forward_diamond(sK0,domain(sK1)),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1))))),
    inference(cnf_transformation,[],[f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE133+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % 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
% 0.16/0.35  % Computer : n008.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Tue Apr 30 18:41:57 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.jXv2Ref5gz/Vampire---4.8_6303
% 0.57/0.74  % (6559)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 (2996ds/83Mi)
% 0.57/0.74  % (6553)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 (2996ds/34Mi)
% 0.57/0.74  % (6556)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (6554)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 (2996ds/51Mi)
% 0.57/0.74  % (6557)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 (2996ds/34Mi)
% 0.57/0.74  % (6555)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (6557)Refutation not found, incomplete strategy% (6557)------------------------------
% 0.57/0.74  % (6557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (6557)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (6557)Memory used [KB]: 1082
% 0.57/0.75  % (6557)Time elapsed: 0.003 s
% 0.57/0.75  % (6557)Instructions burned: 3 (million)
% 0.57/0.75  % (6557)------------------------------
% 0.57/0.75  % (6557)------------------------------
% 0.57/0.75  % (6553)Refutation not found, incomplete strategy% (6553)------------------------------
% 0.57/0.75  % (6553)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (6553)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (6553)Memory used [KB]: 1083
% 0.57/0.75  % (6553)Time elapsed: 0.004 s
% 0.57/0.75  % (6553)Instructions burned: 4 (million)
% 0.57/0.75  % (6553)------------------------------
% 0.57/0.75  % (6553)------------------------------
% 0.57/0.75  % (6556)Refutation not found, incomplete strategy% (6556)------------------------------
% 0.57/0.75  % (6556)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (6556)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (6556)Memory used [KB]: 1073
% 0.57/0.75  % (6556)Time elapsed: 0.004 s
% 0.57/0.75  % (6556)Instructions burned: 4 (million)
% 0.57/0.75  % (6556)------------------------------
% 0.57/0.75  % (6556)------------------------------
% 0.57/0.75  % (6560)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 (2996ds/56Mi)
% 0.57/0.75  % (6558)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (6560)Refutation not found, incomplete strategy% (6560)------------------------------
% 0.57/0.75  % (6560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (6560)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (6560)Memory used [KB]: 1067
% 0.57/0.75  % (6560)Time elapsed: 0.004 s
% 0.57/0.75  % (6560)Instructions burned: 3 (million)
% 0.57/0.75  % (6560)------------------------------
% 0.57/0.75  % (6560)------------------------------
% 0.57/0.75  % (6561)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 (2996ds/55Mi)
% 0.57/0.75  % (6563)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 (2996ds/208Mi)
% 0.57/0.75  % (6564)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 (2996ds/52Mi)
% 0.57/0.76  % (6554)First to succeed.
% 0.57/0.76  % (6554)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Theorem for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (6554)------------------------------
% 0.57/0.76  % (6554)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (6554)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (6554)Memory used [KB]: 1251
% 0.57/0.76  % (6554)Time elapsed: 0.017 s
% 0.57/0.76  % (6554)Instructions burned: 32 (million)
% 0.57/0.76  % (6554)------------------------------
% 0.57/0.76  % (6554)------------------------------
% 0.57/0.76  % (6549)Success in time 0.393 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------