TSTP Solution File: KLE132+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KLE132+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n019.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 Aug 31 17:29:12 EDT 2022

% Result   : Theorem 3.55s 0.96s
% Output   : Refutation 3.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  112 ( 104 unt;   0 def)
%            Number of atoms       :  132 ( 131 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   31 (  11   ~;   0   |;  12   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 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   :  140 ( 132   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3685,plain,
    $false,
    inference(subsumption_resolution,[],[f3684,f105]) ).

fof(f105,plain,
    zero != antidomain(antidomain(sK1)),
    inference(definition_unfolding,[],[f83,f79]) ).

fof(f79,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).

fof(f83,plain,
    zero != domain(sK1),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( addition(domain(sK1),forward_diamond(sK0,domain(sK1))) = forward_diamond(sK0,domain(sK1))
    & zero != domain(sK1)
    & ! [X2] : addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),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])],[f60,f62,f61]) ).

fof(f61,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1)))
            & zero != domain(X1) )
        & ! [X2] : addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) = forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) )
   => ( ? [X1] :
          ( forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1)))
          & zero != domain(X1) )
      & ! [X2] : addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) = forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ( ? [X1] :
        ( forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1)))
        & zero != domain(X1) )
   => ( addition(domain(sK1),forward_diamond(sK0,domain(sK1))) = forward_diamond(sK0,domain(sK1))
      & zero != domain(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ? [X0] :
      ( ? [X1] :
          ( forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1)))
          & zero != domain(X1) )
      & ! [X2] : addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) = forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ? [X0] :
      ( ? [X2] :
          ( forward_diamond(X0,domain(X2)) = addition(domain(X2),forward_diamond(X0,domain(X2)))
          & zero != 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,[],[f33]) ).

fof(f33,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/benchmark/theBenchmark.p',goals) ).

fof(f3684,plain,
    zero = antidomain(antidomain(sK1)),
    inference(forward_demodulation,[],[f3683,f111]) ).

fof(f111,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f85,f72]) ).

fof(f72,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).

fof(f85,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f3683,plain,
    zero = addition(zero,antidomain(antidomain(sK1))),
    inference(forward_demodulation,[],[f3682,f3379]) ).

fof(f3379,plain,
    zero = antidomain(one),
    inference(forward_demodulation,[],[f3378,f2398]) ).

fof(f2398,plain,
    ! [X10,X11] : addition(X11,multiplication(X11,multiplication(antidomain(antidomain(sK1)),divergence(X10)))) = X11,
    inference(forward_demodulation,[],[f2390,f74]) ).

fof(f74,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f2390,plain,
    ! [X10,X11] : multiplication(X11,one) = addition(multiplication(X11,one),multiplication(X11,multiplication(antidomain(antidomain(sK1)),divergence(X10)))),
    inference(superposition,[],[f90,f2348]) ).

fof(f2348,plain,
    ! [X0] : one = addition(one,multiplication(antidomain(antidomain(sK1)),divergence(X0))),
    inference(superposition,[],[f1787,f107]) ).

fof(f107,plain,
    ! [X0] : antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))) = divergence(X0),
    inference(definition_unfolding,[],[f86,f102]) ).

fof(f102,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f77,f79,f79]) ).

fof(f77,plain,
    ! [X0,X1] : domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] : domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).

fof(f86,plain,
    ! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,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/benchmark/theBenchmark.p',divergence1) ).

fof(f1787,plain,
    ! [X31] : one = addition(one,multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(X31)))),
    inference(forward_demodulation,[],[f1757,f109]) ).

fof(f109,plain,
    ! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
    inference(backward_demodulation,[],[f70,f85]) ).

fof(f70,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,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/benchmark/theBenchmark.p',domain3) ).

fof(f1757,plain,
    ! [X31] : addition(antidomain(X31),antidomain(antidomain(X31))) = addition(one,multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(X31)))),
    inference(superposition,[],[f126,f202]) ).

fof(f202,plain,
    ! [X16] : addition(X16,multiplication(antidomain(antidomain(sK1)),X16)) = X16,
    inference(forward_demodulation,[],[f174,f92]) ).

fof(f92,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f174,plain,
    ! [X16] : addition(multiplication(one,X16),multiplication(antidomain(antidomain(sK1)),X16)) = multiplication(one,X16),
    inference(superposition,[],[f81,f147]) ).

fof(f147,plain,
    one = addition(one,antidomain(antidomain(sK1))),
    inference(forward_demodulation,[],[f140,f85]) ).

fof(f140,plain,
    one = addition(antidomain(antidomain(sK1)),one),
    inference(superposition,[],[f125,f109]) ).

fof(f125,plain,
    ! [X16] : addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X16)) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X16),
    inference(superposition,[],[f69,f104]) ).

fof(f104,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,[],[f84,f79,f102,f79,f102,f79]) ).

fof(f84,plain,
    addition(domain(sK1),forward_diamond(sK0,domain(sK1))) = forward_diamond(sK0,domain(sK1)),
    inference(cnf_transformation,[],[f63]) ).

fof(f69,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X0,X2,X1] : addition(addition(X1,X2),X0) = addition(X1,addition(X2,X0)),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).

fof(f81,plain,
    ! [X2,X0,X1] : addition(multiplication(X2,X0),multiplication(X1,X0)) = multiplication(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] : addition(multiplication(X2,X0),multiplication(X1,X0)) = multiplication(addition(X2,X1),X0),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X1,X2,X0] : multiplication(addition(X0,X2),X1) = addition(multiplication(X0,X1),multiplication(X2,X1)),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X2,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).

fof(f126,plain,
    ! [X18,X17] : addition(antidomain(X17),addition(antidomain(antidomain(X17)),X18)) = addition(one,X18),
    inference(superposition,[],[f69,f109]) ).

fof(f90,plain,
    ! [X2,X0,X1] : addition(multiplication(X2,X0),multiplication(X2,X1)) = multiplication(X2,addition(X0,X1)),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] : addition(multiplication(X2,X0),multiplication(X2,X1)) = multiplication(X2,addition(X0,X1)),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X1,X0,X2] : multiplication(X2,addition(X1,X0)) = addition(multiplication(X2,X1),multiplication(X2,X0)),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X1,X0] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).

fof(f3378,plain,
    ! [X61] : zero = addition(antidomain(one),multiplication(antidomain(one),multiplication(antidomain(antidomain(sK1)),divergence(X61)))),
    inference(forward_demodulation,[],[f3320,f74]) ).

fof(f3320,plain,
    ! [X61] : zero = addition(multiplication(antidomain(one),one),multiplication(antidomain(one),multiplication(antidomain(antidomain(sK1)),divergence(X61)))),
    inference(superposition,[],[f238,f2348]) ).

fof(f238,plain,
    ! [X6,X7] : zero = addition(multiplication(antidomain(addition(X6,X7)),X6),multiplication(antidomain(addition(X6,X7)),X7)),
    inference(superposition,[],[f95,f90]) ).

fof(f95,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).

fof(f3682,plain,
    antidomain(one) = addition(antidomain(one),antidomain(antidomain(sK1))),
    inference(forward_demodulation,[],[f3681,f85]) ).

fof(f3681,plain,
    antidomain(one) = addition(antidomain(antidomain(sK1)),antidomain(one)),
    inference(forward_demodulation,[],[f3680,f3676]) ).

fof(f3676,plain,
    one = antidomain(zero),
    inference(forward_demodulation,[],[f3624,f111]) ).

fof(f3624,plain,
    one = addition(zero,antidomain(zero)),
    inference(backward_demodulation,[],[f520,f3619]) ).

fof(f3619,plain,
    zero = divergence(zero),
    inference(backward_demodulation,[],[f519,f3617]) ).

fof(f3617,plain,
    ! [X2] : multiplication(X2,antidomain(zero)) = X2,
    inference(forward_demodulation,[],[f3616,f111]) ).

fof(f3616,plain,
    ! [X2] : addition(zero,multiplication(X2,antidomain(zero))) = X2,
    inference(forward_demodulation,[],[f3601,f94]) ).

fof(f94,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).

fof(f3601,plain,
    ! [X2] : addition(multiplication(X2,zero),multiplication(X2,antidomain(zero))) = X2,
    inference(superposition,[],[f269,f3379]) ).

fof(f269,plain,
    ! [X26,X25] : addition(multiplication(X26,antidomain(X25)),multiplication(X26,antidomain(antidomain(X25)))) = X26,
    inference(forward_demodulation,[],[f230,f74]) ).

fof(f230,plain,
    ! [X26,X25] : addition(multiplication(X26,antidomain(X25)),multiplication(X26,antidomain(antidomain(X25)))) = multiplication(X26,one),
    inference(superposition,[],[f90,f109]) ).

fof(f519,plain,
    zero = multiplication(divergence(zero),antidomain(zero)),
    inference(superposition,[],[f95,f158]) ).

fof(f158,plain,
    divergence(zero) = antidomain(antidomain(zero)),
    inference(superposition,[],[f107,f76]) ).

fof(f76,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).

fof(f520,plain,
    one = addition(divergence(zero),antidomain(zero)),
    inference(forward_demodulation,[],[f514,f85]) ).

fof(f514,plain,
    one = addition(antidomain(zero),divergence(zero)),
    inference(superposition,[],[f109,f158]) ).

fof(f3680,plain,
    addition(antidomain(antidomain(sK1)),antidomain(antidomain(zero))) = antidomain(antidomain(zero)),
    inference(forward_demodulation,[],[f3629,f94]) ).

fof(f3629,plain,
    addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),zero)))) = antidomain(antidomain(multiplication(star(sK0),zero))),
    inference(backward_demodulation,[],[f2286,f3619]) ).

fof(f2286,plain,
    antidomain(antidomain(multiplication(star(sK0),divergence(zero)))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),divergence(zero))))),
    inference(forward_demodulation,[],[f2285,f158]) ).

fof(f2285,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
    inference(forward_demodulation,[],[f2284,f2235]) ).

fof(f2235,plain,
    zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
    inference(backward_demodulation,[],[f463,f2193]) ).

fof(f2193,plain,
    ! [X4] : antidomain(X4) = antidomain(antidomain(antidomain(X4))),
    inference(forward_demodulation,[],[f2192,f2029]) ).

fof(f2029,plain,
    ! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
    inference(forward_demodulation,[],[f2011,f111]) ).

fof(f2011,plain,
    ! [X0] : addition(zero,multiplication(antidomain(antidomain(X0)),X0)) = X0,
    inference(superposition,[],[f200,f95]) ).

fof(f200,plain,
    ! [X24,X23] : addition(multiplication(antidomain(X23),X24),multiplication(antidomain(antidomain(X23)),X24)) = X24,
    inference(forward_demodulation,[],[f179,f92]) ).

fof(f179,plain,
    ! [X24,X23] : multiplication(one,X24) = addition(multiplication(antidomain(X23),X24),multiplication(antidomain(antidomain(X23)),X24)),
    inference(superposition,[],[f81,f109]) ).

fof(f2192,plain,
    ! [X4] : multiplication(antidomain(antidomain(antidomain(X4))),antidomain(X4)) = antidomain(antidomain(antidomain(X4))),
    inference(forward_demodulation,[],[f2183,f72]) ).

fof(f2183,plain,
    ! [X4] : antidomain(antidomain(antidomain(X4))) = addition(multiplication(antidomain(antidomain(antidomain(X4))),antidomain(X4)),zero),
    inference(superposition,[],[f269,f95]) ).

fof(f463,plain,
    zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),
    inference(forward_demodulation,[],[f453,f72]) ).

fof(f453,plain,
    zero = addition(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),zero),
    inference(superposition,[],[f177,f95]) ).

fof(f177,plain,
    ! [X20] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X20) = addition(multiplication(antidomain(antidomain(sK1)),X20),multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X20)),
    inference(superposition,[],[f81,f104]) ).

fof(f2284,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))))))),
    inference(forward_demodulation,[],[f2215,f2193]) ).

fof(f2215,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))))),
    inference(backward_demodulation,[],[f166,f2193]) ).

fof(f166,plain,
    addition(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))))))))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))))),
    inference(superposition,[],[f125,f106]) ).

fof(f106,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,[],[f82,f102,f79,f102,f101,f79,f102,f79,f102,f101,f79,f102,f79]) ).

fof(f101,plain,
    ! [X0,X1] : multiplication(antidomain(antidomain(X0)),antidomain(X1)) = domain_difference(X0,X1),
    inference(definition_unfolding,[],[f75,f79]) ).

fof(f75,plain,
    ! [X0,X1] : multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] : multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3,X4] : domain_difference(X3,X4) = multiplication(domain(X3),antidomain(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_difference) ).

fof(f82,plain,
    ! [X2] : addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) = forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))),
    inference(cnf_transformation,[],[f63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : KLE132+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 00:28:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (7787)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (7809)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  % (7798)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (7800)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52  % (7799)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (7796)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (7804)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (7797)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (7795)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (7813)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53  % (7792)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (7790)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (7788)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (7801)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (7791)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (7789)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (7812)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (7805)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (7786)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (7811)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (7808)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54  % (7792)Instruction limit reached!
% 0.19/0.54  % (7792)------------------------------
% 0.19/0.54  % (7792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (7792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (7792)Termination reason: Unknown
% 0.19/0.54  % (7792)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (7792)Memory used [KB]: 5500
% 0.19/0.54  % (7792)Time elapsed: 0.097 s
% 0.19/0.54  % (7792)Instructions burned: 7 (million)
% 0.19/0.54  % (7792)------------------------------
% 0.19/0.54  % (7792)------------------------------
% 0.19/0.54  % (7785)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54  % (7814)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (7815)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54  % (7810)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (7794)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (7802)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (7807)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56  % (7793)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56  % (7793)Instruction limit reached!
% 0.19/0.56  % (7793)------------------------------
% 0.19/0.56  % (7793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (7793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (7793)Termination reason: Unknown
% 0.19/0.56  % (7793)Termination phase: Preprocessing 3
% 0.19/0.56  
% 0.19/0.56  % (7793)Memory used [KB]: 895
% 0.19/0.56  % (7793)Time elapsed: 0.004 s
% 0.19/0.56  % (7793)Instructions burned: 2 (million)
% 0.19/0.56  % (7793)------------------------------
% 0.19/0.56  % (7793)------------------------------
% 0.19/0.56  % (7806)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.56  TRYING [1]
% 0.19/0.56  TRYING [2]
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 0.19/0.57  TRYING [3]
% 1.68/0.57  % (7791)Instruction limit reached!
% 1.68/0.57  % (7791)------------------------------
% 1.68/0.57  % (7791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58  % (7787)Instruction limit reached!
% 1.68/0.58  % (7787)------------------------------
% 1.68/0.58  % (7787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58  % (7787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58  % (7787)Termination reason: Unknown
% 1.68/0.58  % (7787)Termination phase: Saturation
% 1.68/0.58  
% 1.68/0.58  % (7787)Memory used [KB]: 1663
% 1.68/0.58  % (7787)Time elapsed: 0.164 s
% 1.68/0.58  % (7787)Instructions burned: 39 (million)
% 1.68/0.58  % (7787)------------------------------
% 1.68/0.58  % (7787)------------------------------
% 1.68/0.58  TRYING [3]
% 1.68/0.59  TRYING [1]
% 1.68/0.59  TRYING [2]
% 1.82/0.59  TRYING [3]
% 1.82/0.60  % (7791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60  % (7791)Termination reason: Unknown
% 1.82/0.60  % (7791)Termination phase: Finite model building constraint generation
% 1.82/0.60  
% 1.82/0.60  % (7791)Memory used [KB]: 7931
% 1.82/0.60  % (7791)Time elapsed: 0.167 s
% 1.82/0.60  % (7791)Instructions burned: 52 (million)
% 1.82/0.60  % (7791)------------------------------
% 1.82/0.60  % (7791)------------------------------
% 1.82/0.60  % (7795)Instruction limit reached!
% 1.82/0.60  % (7795)------------------------------
% 1.82/0.60  % (7795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60  % (7795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60  % (7795)Termination reason: Unknown
% 1.82/0.60  % (7795)Termination phase: Saturation
% 1.82/0.60  
% 1.82/0.60  % (7795)Memory used [KB]: 6396
% 1.82/0.60  % (7795)Time elapsed: 0.195 s
% 1.82/0.60  % (7795)Instructions burned: 50 (million)
% 1.82/0.60  % (7795)------------------------------
% 1.82/0.60  % (7795)------------------------------
% 1.82/0.61  % (7790)Instruction limit reached!
% 1.82/0.61  % (7790)------------------------------
% 1.82/0.61  % (7790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (7790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (7790)Termination reason: Unknown
% 1.82/0.61  % (7790)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (7790)Memory used [KB]: 6396
% 1.82/0.61  % (7790)Time elapsed: 0.188 s
% 1.82/0.61  % (7790)Instructions burned: 48 (million)
% 1.82/0.61  % (7790)------------------------------
% 1.82/0.61  % (7790)------------------------------
% 1.82/0.61  % (7786)Instruction limit reached!
% 1.82/0.61  % (7786)------------------------------
% 1.82/0.61  % (7786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (7786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (7786)Termination reason: Unknown
% 1.82/0.61  % (7786)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (7786)Memory used [KB]: 6396
% 1.82/0.61  % (7786)Time elapsed: 0.191 s
% 1.82/0.61  % (7786)Instructions burned: 51 (million)
% 1.82/0.61  % (7786)------------------------------
% 1.82/0.61  % (7786)------------------------------
% 1.82/0.61  % (7788)Instruction limit reached!
% 1.82/0.61  % (7788)------------------------------
% 1.82/0.61  % (7788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (7788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (7788)Termination reason: Unknown
% 1.82/0.61  % (7788)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (7788)Memory used [KB]: 6396
% 1.82/0.61  % (7788)Time elapsed: 0.193 s
% 1.82/0.61  % (7788)Instructions burned: 52 (million)
% 1.82/0.61  % (7788)------------------------------
% 1.82/0.61  % (7788)------------------------------
% 1.82/0.62  % (7800)Instruction limit reached!
% 1.82/0.62  % (7800)------------------------------
% 1.82/0.62  % (7800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62  % (7800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62  % (7800)Termination reason: Unknown
% 1.82/0.62  % (7800)Termination phase: Saturation
% 1.82/0.62  
% 1.82/0.62  % (7800)Memory used [KB]: 2302
% 1.82/0.62  % (7800)Time elapsed: 0.166 s
% 1.82/0.62  % (7800)Instructions burned: 76 (million)
% 1.82/0.62  % (7800)------------------------------
% 1.82/0.62  % (7800)------------------------------
% 1.82/0.62  % (7789)Instruction limit reached!
% 1.82/0.62  % (7789)------------------------------
% 1.82/0.62  % (7789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62  % (7789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62  % (7789)Termination reason: Unknown
% 1.82/0.62  % (7789)Termination phase: Saturation
% 1.82/0.62  
% 1.82/0.62  % (7789)Memory used [KB]: 6396
% 1.82/0.62  % (7789)Time elapsed: 0.213 s
% 1.82/0.62  % (7789)Instructions burned: 51 (million)
% 1.82/0.62  % (7789)------------------------------
% 1.82/0.62  % (7789)------------------------------
% 1.82/0.63  % (7794)Instruction limit reached!
% 1.82/0.63  % (7794)------------------------------
% 1.82/0.63  % (7794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.63  % (7794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.63  % (7794)Termination reason: Unknown
% 1.82/0.63  % (7794)Termination phase: Saturation
% 1.82/0.63  
% 1.82/0.63  % (7794)Memory used [KB]: 1535
% 1.82/0.63  % (7794)Time elapsed: 0.211 s
% 1.82/0.63  % (7794)Instructions burned: 51 (million)
% 1.82/0.63  % (7794)------------------------------
% 1.82/0.63  % (7794)------------------------------
% 2.18/0.63  % (7799)Instruction limit reached!
% 2.18/0.63  % (7799)------------------------------
% 2.18/0.63  % (7799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63  % (7799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63  % (7799)Termination reason: Unknown
% 2.18/0.63  % (7799)Termination phase: Saturation
% 2.18/0.63  
% 2.18/0.63  % (7799)Memory used [KB]: 6780
% 2.18/0.63  % (7799)Time elapsed: 0.036 s
% 2.18/0.63  % (7799)Instructions burned: 69 (million)
% 2.18/0.63  % (7799)------------------------------
% 2.18/0.63  % (7799)------------------------------
% 2.24/0.64  % (7802)Instruction limit reached!
% 2.24/0.64  % (7802)------------------------------
% 2.24/0.64  % (7802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64  % (7802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.64  % (7802)Termination reason: Unknown
% 2.24/0.64  % (7802)Termination phase: Finite model building SAT solving
% 2.24/0.64  
% 2.24/0.64  % (7802)Memory used [KB]: 8315
% 2.24/0.64  % (7802)Time elapsed: 0.203 s
% 2.24/0.64  % (7802)Instructions burned: 60 (million)
% 2.24/0.64  % (7802)------------------------------
% 2.24/0.64  % (7802)------------------------------
% 2.24/0.64  % (7812)Instruction limit reached!
% 2.24/0.64  % (7812)------------------------------
% 2.24/0.64  % (7812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.65  TRYING [4]
% 2.24/0.65  % (7812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65  % (7812)Termination reason: Unknown
% 2.24/0.65  % (7812)Termination phase: Saturation
% 2.24/0.65  
% 2.24/0.65  % (7812)Memory used [KB]: 6652
% 2.24/0.65  % (7812)Time elapsed: 0.036 s
% 2.24/0.65  % (7812)Instructions burned: 69 (million)
% 2.24/0.65  % (7812)------------------------------
% 2.24/0.65  % (7812)------------------------------
% 2.24/0.67  % (7798)Instruction limit reached!
% 2.24/0.67  % (7798)------------------------------
% 2.24/0.67  % (7798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.67  % (7798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.67  % (7798)Termination reason: Unknown
% 2.24/0.67  % (7798)Termination phase: Saturation
% 2.24/0.67  
% 2.24/0.67  % (7798)Memory used [KB]: 7164
% 2.24/0.67  % (7798)Time elapsed: 0.251 s
% 2.24/0.67  % (7798)Instructions burned: 99 (million)
% 2.24/0.67  % (7798)------------------------------
% 2.24/0.67  % (7798)------------------------------
% 2.24/0.68  % (7796)Instruction limit reached!
% 2.24/0.68  % (7796)------------------------------
% 2.24/0.68  % (7796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.68  % (7796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68  % (7796)Termination reason: Unknown
% 2.24/0.68  % (7796)Termination phase: Saturation
% 2.24/0.68  
% 2.24/0.68  % (7796)Memory used [KB]: 7291
% 2.24/0.68  % (7796)Time elapsed: 0.249 s
% 2.24/0.68  % (7796)Instructions burned: 100 (million)
% 2.24/0.68  % (7796)------------------------------
% 2.24/0.68  % (7796)------------------------------
% 2.24/0.68  % (7922)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.24/0.68  % (7804)Instruction limit reached!
% 2.24/0.68  % (7804)------------------------------
% 2.24/0.68  % (7804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.68  % (7804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68  % (7804)Termination reason: Unknown
% 2.24/0.68  % (7804)Termination phase: Saturation
% 2.24/0.68  
% 2.24/0.68  % (7804)Memory used [KB]: 7164
% 2.24/0.68  % (7804)Time elapsed: 0.277 s
% 2.24/0.68  % (7804)Instructions burned: 101 (million)
% 2.24/0.68  % (7804)------------------------------
% 2.24/0.68  % (7804)------------------------------
% 2.24/0.69  % (7805)Instruction limit reached!
% 2.24/0.69  % (7805)------------------------------
% 2.24/0.69  % (7805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69  % (7805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69  % (7805)Termination reason: Unknown
% 2.24/0.69  % (7805)Termination phase: Saturation
% 2.24/0.69  
% 2.24/0.69  % (7805)Memory used [KB]: 2302
% 2.24/0.69  % (7805)Time elapsed: 0.271 s
% 2.24/0.69  % (7805)Instructions burned: 100 (million)
% 2.24/0.69  % (7805)------------------------------
% 2.24/0.69  % (7805)------------------------------
% 2.24/0.69  % (7915)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.24/0.69  % (7797)Instruction limit reached!
% 2.24/0.69  % (7797)------------------------------
% 2.24/0.69  % (7797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69  % (7797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69  % (7797)Termination reason: Unknown
% 2.24/0.69  % (7797)Termination phase: Saturation
% 2.24/0.69  
% 2.24/0.69  % (7797)Memory used [KB]: 7419
% 2.24/0.69  % (7797)Time elapsed: 0.288 s
% 2.24/0.69  % (7797)Instructions burned: 102 (million)
% 2.24/0.69  % (7797)------------------------------
% 2.24/0.69  % (7797)------------------------------
% 2.24/0.70  % (7929)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.56/0.70  % (7801)Instruction limit reached!
% 2.56/0.70  % (7801)------------------------------
% 2.56/0.70  % (7801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.70  % (7801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.70  % (7801)Termination reason: Unknown
% 2.56/0.70  % (7801)Termination phase: Saturation
% 2.56/0.70  
% 2.56/0.70  % (7801)Memory used [KB]: 7036
% 2.56/0.70  % (7801)Time elapsed: 0.277 s
% 2.56/0.70  % (7801)Instructions burned: 99 (million)
% 2.56/0.70  % (7801)------------------------------
% 2.56/0.70  % (7801)------------------------------
% 2.56/0.72  % (7934)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.56/0.72  % (7935)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.56/0.73  % (7937)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.56/0.73  % (7936)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.56/0.75  % (7938)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.56/0.75  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.56/0.76  % (7955)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.77/0.77  % (7807)Instruction limit reached!
% 2.77/0.77  % (7807)------------------------------
% 2.77/0.77  % (7807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.77  % (7807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.77  % (7807)Termination reason: Unknown
% 2.77/0.77  % (7807)Termination phase: Saturation
% 2.77/0.77  
% 2.77/0.77  % (7807)Memory used [KB]: 7419
% 2.77/0.77  % (7807)Time elapsed: 0.370 s
% 2.77/0.77  % (7807)Instructions burned: 138 (million)
% 2.77/0.77  % (7807)------------------------------
% 2.77/0.77  % (7807)------------------------------
% 2.77/0.77  % (7947)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.77/0.77  % (7950)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.77/0.77  % (7939)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.77/0.77  % (7940)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.77/0.78  % (7945)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.77/0.79  % (7963)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.77/0.81  % (7965)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.77/0.82  % (7964)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.77/0.82  % (7967)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.77/0.83  % (7806)Instruction limit reached!
% 2.77/0.83  % (7806)------------------------------
% 2.77/0.83  % (7806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.83  % (7806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.83  % (7806)Termination reason: Unknown
% 2.77/0.83  % (7806)Termination phase: Saturation
% 2.77/0.83  
% 2.77/0.83  % (7806)Memory used [KB]: 8059
% 2.77/0.83  % (7806)Time elapsed: 0.419 s
% 2.77/0.83  % (7806)Instructions burned: 176 (million)
% 2.77/0.83  % (7806)------------------------------
% 2.77/0.83  % (7806)------------------------------
% 2.77/0.84  % (7813)Instruction limit reached!
% 2.77/0.84  % (7813)------------------------------
% 2.77/0.84  % (7813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.84  % (7813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.84  % (7813)Termination reason: Unknown
% 2.77/0.84  % (7813)Termination phase: Saturation
% 2.77/0.84  
% 2.77/0.84  % (7813)Memory used [KB]: 4093
% 2.77/0.84  % (7813)Time elapsed: 0.380 s
% 2.77/0.84  % (7813)Instructions burned: 177 (million)
% 2.77/0.84  % (7813)------------------------------
% 2.77/0.84  % (7813)------------------------------
% 2.77/0.85  % (7929)Instruction limit reached!
% 2.77/0.85  % (7929)------------------------------
% 2.77/0.85  % (7929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.85  % (7929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.85  % (7929)Termination reason: Unknown
% 2.77/0.85  % (7929)Termination phase: Saturation
% 2.77/0.85  
% 2.77/0.85  % (7929)Memory used [KB]: 6652
% 2.77/0.85  % (7929)Time elapsed: 0.204 s
% 2.77/0.85  % (7929)Instructions burned: 90 (million)
% 2.77/0.85  % (7929)------------------------------
% 2.77/0.85  % (7929)------------------------------
% 2.77/0.85  % (7978)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.77/0.86  % (7975)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.14/0.87  % (7938)Instruction limit reached!
% 3.14/0.87  % (7938)------------------------------
% 3.14/0.87  % (7938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.87  % (7938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.87  % (7938)Termination reason: Unknown
% 3.14/0.87  % (7938)Termination phase: Saturation
% 3.14/0.87  
% 3.14/0.87  % (7938)Memory used [KB]: 6780
% 3.14/0.87  % (7938)Time elapsed: 0.034 s
% 3.14/0.87  % (7938)Instructions burned: 70 (million)
% 3.14/0.87  % (7938)------------------------------
% 3.14/0.87  % (7938)------------------------------
% 3.14/0.89  % (7945)Instruction limit reached!
% 3.14/0.89  % (7945)------------------------------
% 3.14/0.89  % (7945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.89  % (7945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.89  % (7945)Termination reason: Unknown
% 3.14/0.89  % (7945)Termination phase: Saturation
% 3.14/0.89  
% 3.14/0.89  % (7945)Memory used [KB]: 6780
% 3.14/0.89  % (7945)Time elapsed: 0.236 s
% 3.14/0.89  % (7945)Instructions burned: 90 (million)
% 3.14/0.89  % (7945)------------------------------
% 3.14/0.89  % (7945)------------------------------
% 3.35/0.91  % (8000)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.35/0.91  % (7967)Instruction limit reached!
% 3.35/0.91  % (7967)------------------------------
% 3.35/0.91  % (7967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.35/0.93  % (7967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.35/0.93  % (7967)Termination reason: Unknown
% 3.35/0.93  % (7967)Termination phase: Saturation
% 3.35/0.93  
% 3.35/0.93  % (7967)Memory used [KB]: 6652
% 3.35/0.93  % (7967)Time elapsed: 0.032 s
% 3.35/0.93  % (7967)Instructions burned: 68 (million)
% 3.35/0.93  % (7967)------------------------------
% 3.35/0.93  % (7967)------------------------------
% 3.55/0.95  % (7922)Instruction limit reached!
% 3.55/0.95  % (7922)------------------------------
% 3.55/0.95  % (7922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.55/0.95  % (7922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.55/0.95  % (7922)Termination reason: Unknown
% 3.55/0.95  % (7922)Termination phase: Saturation
% 3.55/0.95  
% 3.55/0.95  % (7922)Memory used [KB]: 3965
% 3.55/0.95  % (7922)Time elapsed: 0.329 s
% 3.55/0.95  % (7922)Instructions burned: 212 (million)
% 3.55/0.95  % (7922)------------------------------
% 3.55/0.95  % (7922)------------------------------
% 3.55/0.95  % (8027)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.55/0.95  % (7809)First to succeed.
% 3.55/0.95  % (8028)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.55/0.96  % (7809)Refutation found. Thanks to Tanya!
% 3.55/0.96  % SZS status Theorem for theBenchmark
% 3.55/0.96  % SZS output start Proof for theBenchmark
% See solution above
% 3.55/0.97  % (7809)------------------------------
% 3.55/0.97  % (7809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.55/0.97  % (7809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.55/0.97  % (7809)Termination reason: Refutation
% 3.55/0.97  
% 3.55/0.97  % (7809)Memory used [KB]: 8955
% 3.55/0.97  % (7809)Time elapsed: 0.493 s
% 3.55/0.97  % (7809)Instructions burned: 285 (million)
% 3.55/0.97  % (7809)------------------------------
% 3.55/0.97  % (7809)------------------------------
% 3.55/0.97  % (7782)Success in time 0.615 s
%------------------------------------------------------------------------------