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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KLE133+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:52:28 PM UTC 2026

% Result   : Theorem 4.03s 1.10s
% Output   : CNFRefutation 4.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   67 (  61 unt;   0 def)
%            Number of atoms       :   79 (  78 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (   9   ~;   0   |;  10   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :   80 (   0 sgn  74   !;   6   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

fof(f10,axiom,
    ! [X0] : multiplication(X0,zero) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).

fof(f11,axiom,
    ! [X0] : multiplication(zero,X0) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

fof(f13,axiom,
    ! [X0] : multiplication(antidomain(X0),X0) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).

fof(f15,axiom,
    ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).

fof(f16,axiom,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).

fof(f22,axiom,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',domain_difference) ).

fof(f23,axiom,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).

fof(f29,conjecture,
    ! [X0] :
      ( ( ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
        & ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) )
     => ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f30,negated_conjecture,
    ~ ! [X0] :
        ( ( ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
          & ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) )
       => ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f31,plain,
    ? [X0] :
      ( ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
      & ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
      & ? [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(ennf_transformation,[],[f30]) ).

fof(f32,plain,
    ? [X0] :
      ( ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
      & ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
      & ? [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(flattening,[],[f31]) ).

fof(f34,plain,
    ? [X0] :
      ( ! [X3] : forward_diamond(X0,domain(X3)) = forward_diamond(X0,forward_diamond(X0,domain(X3)))
      & ! [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)))))
      & ? [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(rectify,[],[f32]) ).

fof(f35,plain,
    ( ! [X3] : forward_diamond(sK0,domain(X3)) = forward_diamond(sK0,forward_diamond(sK0,domain(X3)))
    & ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(domain(X2),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))))
    & 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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f34]) ).

fof(f36,plain,
    ! [X3] : forward_diamond(sK0,domain(X3)) = forward_diamond(sK0,forward_diamond(sK0,domain(X3))),
    inference(cnf_transformation,[],[f35]) ).

fof(f37,plain,
    ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(domain(X2),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))),
    inference(cnf_transformation,[],[f35]) ).

fof(f38,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,[],[f35]) ).

fof(f42,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f43,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f44,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f23]) ).

fof(f45,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f16]) ).

fof(f46,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(cnf_transformation,[],[f22]) ).

fof(f49,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f51,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f54,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f55,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f58,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f59,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f61,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
    inference(definition_unfolding,[],[f46,f45]) ).

fof(f62,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f44,f45,f45]) ).

fof(f63,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,[],[f38,f62,f61,f45,f62,f45,f62,f45,f62,f61,f45,f62,f45]) ).

fof(f64,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(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,[],[f37,f62,f61,f45,f62,f45,f45,f62,f61,f45,f62,f45]) ).

fof(f65,plain,
    ! [X3] : antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X3))))))) = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X3)))))))))))),
    inference(definition_unfolding,[],[f36,f62,f45,f62,f62,f45]) ).

tcf(c_49,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,[],[f63]) ).

tcf(c_50,negated_conjecture,
    ! [X0: $i] : 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,[],[f64]) ).

tcf(c_51,negated_conjecture,
    ! [X0: $i] : 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,[],[f65]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_59,plain,
    ! [X0: $i] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
    inference(cnf_transformation,[],[f49]) ).

tcf(c_61,plain,
    ! [X0: $i] : multiplication(antidomain(X0),X0) = zero,
    inference(cnf_transformation,[],[f51]) ).

tcf(c_64,plain,
    ! [X0: $i] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f54]) ).

tcf(c_65,plain,
    ! [X0: $i] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f55]) ).

tcf(c_67,plain,
    ! [X0: $i] : multiplication(zero,X0) = zero,
    inference(cnf_transformation,[],[f57]) ).

tcf(c_68,plain,
    ! [X0: $i] : multiplication(X0,zero) = zero,
    inference(cnf_transformation,[],[f58]) ).

tcf(c_69,plain,
    ! [X0: $i] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f59]) ).

tcf(c_92,plain,
    ! [X0: $i] : addition(antidomain(X0),antidomain(antidomain(X0))) = one,
    inference(theory_normalisation,[status(thm)],[c_59,c_55,c_56]) ).

tcf(c_265,plain,
    antidomain(one) = zero,
    inference(superposition,[status(thm)],[c_61,c_65]) ).

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

tcf(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_51]) ).

tcf(c_281,plain,
    ! [X0: $i] : addition(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_56,c_69]) ).

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

tcf(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]) ).

tcf(c_290,plain,
    antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK0))))))) = antidomain(antidomain(sK0)),
    inference(demodulation,[status(thm)],[c_289,c_65]) ).

tcf(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_50]) ).

tcf(c_314,plain,
    antidomain(antidomain(sK0)) = zero,
    inference(demodulation,[status(thm)],[c_296,c_61,c_68,c_69,c_265,c_283]) ).

tcf(c_323,plain,
    addition(antidomain(sK0),zero) = one,
    inference(superposition,[status(thm)],[c_314,c_92]) ).

tcf(c_326,plain,
    addition(zero,antidomain(sK0)) = one,
    inference(theory_normalisation,[status(thm)],[c_323,c_55,c_56]) ).

tcf(c_523,plain,
    antidomain(sK0) = one,
    inference(demodulation,[status(thm)],[c_326,c_281]) ).

tcf(c_527,plain,
    multiplication(one,sK0) = zero,
    inference(superposition,[status(thm)],[c_523,c_61]) ).

tcf(c_1476,plain,
    sK0 = zero,
    inference(demodulation,[status(thm)],[c_527,c_64]) ).

tcf(c_1485,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_49,c_1476]) ).

tcf(c_1488,plain,
    $false,
    inference(ground_joinability,[status(thm)],[c_1485,c_65,c_67,c_265,c_281,c_283]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KLE133+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n016.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Wed Sep 23 19:06:26 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 4.03/1.10  % SZS status Started for theBenchmark.p
% 4.03/1.10  % SZS status Theorem for theBenchmark.p
% 4.03/1.10  
% 4.03/1.10  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.03/1.10  
% 4.03/1.10  % ------  iProver source info
% 4.03/1.10  
% 4.03/1.10  % git: date: 2026-07-19 20:42:38 +0200
% 4.03/1.10  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.03/1.10  % git: non_committed_changes: false
% 4.03/1.10  
% 4.03/1.10  % ------ Parsing...
% 4.03/1.10  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.03/1.10  
% 4.03/1.10  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.03/1.10  
% 4.03/1.10  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.03/1.10  
% 4.03/1.10  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.03/1.10  % ------ Proving...
% 4.03/1.10  % ------ Problem Properties 
% 4.03/1.10  
% 4.03/1.10  % 
% 4.03/1.10  % clauses                               22
% 4.03/1.10  % conjectures                           3
% 4.03/1.10  % EPR                                   0
% 4.03/1.10  % Horn                                  22
% 4.03/1.10  % unary                                 21
% 4.03/1.10  % binary                                1
% 4.03/1.10  % lits                                  23
% 4.03/1.10  % lits eq                               23
% 4.03/1.10  % fd_pure                               0
% 4.03/1.10  % fd_pseudo                             0
% 4.03/1.10  % fd_cond                               0
% 4.03/1.10  % fd_pseudo_cond                        0
% 4.03/1.10  % AC symbols                            1
% 4.03/1.10  
% 4.03/1.10  % ------ Schedule dynamic 5 is on 
% 4.03/1.10  
% 4.03/1.10  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.03/1.10  
% 4.03/1.10  
% 4.03/1.10  % ------ 
% 4.03/1.10  % Current options:
% 4.03/1.10  % ------ 
% 4.03/1.10  
% 4.03/1.10  
% 4.03/1.10  % 
% 4.03/1.10  
% 4.03/1.10  % ------ Proving...
% 4.03/1.10  % 
% 4.03/1.10  
% 4.03/1.10  % SZS status Theorem for theBenchmark.p
% 4.03/1.10  
% 4.03/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.10  
% 4.03/1.10  
%------------------------------------------------------------------------------