TSTP Solution File: KLE133+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : KLE133+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Thu Aug 31 05:32:13 EDT 2023

% Result   : Theorem 3.94s 1.14s
% Output   : CNFRefutation 3.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   77 (  68 unt;   0 def)
%            Number of atoms       :   97 (  96 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   35 (  15   ~;   0   |;  15   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   16 (   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   :  102 (   2 sgn;  76   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).

fof(f22,axiom,
    ! [X3,X4] : domain_difference(X3,X4) = multiplication(domain(X3),antidomain(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_difference) ).

fof(f23,axiom,
    ! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).

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/sandbox2/benchmark/theBenchmark.p',goals) ).

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(f31,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f32,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f34,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

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

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

fof(f42,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f23]) ).

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(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(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(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(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(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(f56,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f57,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f31]) ).

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

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

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

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

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

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

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

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

fof(f76,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(cnf_transformation,[],[f41]) ).

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

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

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]) ).

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

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

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(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(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]) ).

cnf(c_49,plain,
    addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_50,plain,
    addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_51,plain,
    addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f58]) ).

cnf(c_54,plain,
    multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f61]) ).

cnf(c_55,plain,
    multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f62]) ).

cnf(c_58,plain,
    multiplication(X0,zero) = zero,
    inference(cnf_transformation,[],[f65]) ).

cnf(c_59,plain,
    multiplication(zero,X0) = zero,
    inference(cnf_transformation,[],[f66]) ).

cnf(c_60,plain,
    multiplication(antidomain(X0),X0) = zero,
    inference(cnf_transformation,[],[f67]) ).

cnf(c_62,plain,
    addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    inference(cnf_transformation,[],[f69]) ).

cnf(c_68,negated_conjecture,
    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))))))))))))))) != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))))),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_69,negated_conjecture,
    antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))) = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_70,negated_conjecture,
    addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_92,plain,
    addition(antidomain(X0),antidomain(antidomain(X0))) = one,
    inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).

cnf(c_265,plain,
    antidomain(one) = zero,
    inference(superposition,[status(thm)],[c_60,c_54]) ).

cnf(c_270,plain,
    addition(zero,antidomain(zero)) = one,
    inference(superposition,[status(thm)],[c_265,c_92]) ).

cnf(c_273,plain,
    antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(zero))))))))))) = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(zero)))))),
    inference(superposition,[status(thm)],[c_265,c_69]) ).

cnf(c_281,plain,
    addition(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_283,plain,
    antidomain(zero) = one,
    inference(demodulation,[status(thm)],[c_270,c_281]) ).

cnf(c_289,plain,
    antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(sK0,one)))))))) = antidomain(antidomain(multiplication(sK0,one))),
    inference(light_normalisation,[status(thm)],[c_273,c_265,c_283]) ).

cnf(c_290,plain,
    antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK0))))))) = antidomain(antidomain(sK0)),
    inference(demodulation,[status(thm)],[c_289,c_54]) ).

cnf(c_296,plain,
    addition(antidomain(antidomain(sK0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK0)))),antidomain(antidomain(antidomain(sK0)))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK0)))),antidomain(antidomain(antidomain(sK0))))))))),
    inference(superposition,[status(thm)],[c_290,c_70]) ).

cnf(c_315,plain,
    antidomain(antidomain(sK0)) = zero,
    inference(demodulation,[status(thm)],[c_296,c_51,c_58,c_60,c_265,c_283]) ).

cnf(c_324,plain,
    addition(antidomain(sK0),zero) = one,
    inference(superposition,[status(thm)],[c_315,c_92]) ).

cnf(c_327,plain,
    addition(zero,antidomain(sK0)) = one,
    inference(theory_normalisation,[status(thm)],[c_324,c_50,c_49]) ).

cnf(c_542,plain,
    antidomain(sK0) = one,
    inference(demodulation,[status(thm)],[c_327,c_281]) ).

cnf(c_546,plain,
    multiplication(one,sK0) = zero,
    inference(superposition,[status(thm)],[c_542,c_60]) ).

cnf(c_1565,plain,
    zero = sK0,
    inference(demodulation,[status(thm)],[c_546,c_55]) ).

cnf(c_1574,plain,
    addition(antidomain(antidomain(multiplication(zero,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(zero,antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))) != antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(zero,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))))),
    inference(demodulation,[status(thm)],[c_68,c_1565]) ).

cnf(c_1666,plain,
    antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))) != antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))),
    inference(demodulation,[status(thm)],[c_1574,c_54,c_59,c_265,c_281,c_283]) ).

cnf(c_1667,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1666]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KLE133+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 11:42:18 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.94/1.14  % SZS status Started for theBenchmark.p
% 3.94/1.14  % SZS status Theorem for theBenchmark.p
% 3.94/1.14  
% 3.94/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.94/1.14  
% 3.94/1.14  ------  iProver source info
% 3.94/1.14  
% 3.94/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.94/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.94/1.14  git: non_committed_changes: false
% 3.94/1.14  git: last_make_outside_of_git: false
% 3.94/1.14  
% 3.94/1.14  ------ Parsing...
% 3.94/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.94/1.14  
% 3.94/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.94/1.14  
% 3.94/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.94/1.14  
% 3.94/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.94/1.14  ------ Proving...
% 3.94/1.14  ------ Problem Properties 
% 3.94/1.14  
% 3.94/1.14  
% 3.94/1.14  clauses                                 22
% 3.94/1.14  conjectures                             3
% 3.94/1.14  EPR                                     0
% 3.94/1.14  Horn                                    22
% 3.94/1.14  unary                                   21
% 3.94/1.14  binary                                  1
% 3.94/1.14  lits                                    23
% 3.94/1.14  lits eq                                 23
% 3.94/1.14  fd_pure                                 0
% 3.94/1.14  fd_pseudo                               0
% 3.94/1.14  fd_cond                                 0
% 3.94/1.14  fd_pseudo_cond                          0
% 3.94/1.14  AC symbols                              1
% 3.94/1.14  
% 3.94/1.14  ------ Schedule dynamic 5 is on 
% 3.94/1.14  
% 3.94/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.94/1.14  
% 3.94/1.14  
% 3.94/1.14  ------ 
% 3.94/1.14  Current options:
% 3.94/1.14  ------ 
% 3.94/1.14  
% 3.94/1.14  
% 3.94/1.14  
% 3.94/1.14  
% 3.94/1.14  ------ Proving...
% 3.94/1.14  
% 3.94/1.14  
% 3.94/1.14  % SZS status Theorem for theBenchmark.p
% 3.94/1.14  
% 3.94/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.94/1.14  
% 3.94/1.16  
%------------------------------------------------------------------------------