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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KLE062+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n026.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 01:52:18 PM UTC 2026

% Result   : Theorem 4.86s 2.29s
% Output   : CNFRefutation 4.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   98 (  98 unt;   4 def)
%            Number of atoms       :  231 (  97 equ)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   99 (   0 sgn  97   !;   2   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

fof(f13,axiom,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).

fof(f14,axiom,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).

fof(f15,axiom,
    ! [X0] : addition(domain(X0),one) = one,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).

fof(f17,axiom,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).

fof(f18,conjecture,
    ! [X0,X1] : multiplication(domain(X0),domain(X1)) = multiplication(domain(X1),domain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f19,negated_conjecture,
    ~ ! [X0,X1] : multiplication(domain(X0),domain(X1)) = multiplication(domain(X1),domain(X0)),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f20,plain,
    ? [X0,X1] : multiplication(domain(X0),domain(X1)) != multiplication(domain(X1),domain(X0)),
    inference(ennf_transformation,[],[f19]) ).

fof(f21,plain,
    multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).

fof(f22,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f23,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f26,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f29,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f30,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f33,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f34,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f14]) ).

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

fof(f37,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(cnf_transformation,[],[f17]) ).

fof(f38,plain,
    multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_54,plain,
    ! [X0: $i] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f27]) ).

tcf(c_55,plain,
    ! [X0: $i] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f28]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_60,plain,
    ! [X0: $i] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_62,plain,
    ! [X0: $i] : addition(domain(X0),one) = one,
    inference(cnf_transformation,[],[f35]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_65,negated_conjecture,
    multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_79,plain,
    ! [X0: $i] : addition(one,domain(X0)) = one,
    inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).

tcf(c_120,definition,
    iPr_def_10 = domain(sK0),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_121,definition,
    iPr_def_11 = domain(sK1),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_122,definition,
    iPr_def_12 = multiplication(iPr_def_10,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_123,definition,
    iPr_def_13 = multiplication(iPr_def_11,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_124,negated_conjecture,
    iPr_def_12 != iPr_def_13,
    inference(demodulation,[status(thm)],[c_65,c_123,c_121,c_120,c_122]) ).

tcf(c_201,plain,
    addition(one,iPr_def_10) = one,
    inference(superposition,[status(thm)],[c_120,c_79]) ).

tcf(c_202,plain,
    addition(one,iPr_def_11) = one,
    inference(superposition,[status(thm)],[c_121,c_79]) ).

tcf(c_203,plain,
    addition(iPr_def_11,one) = one,
    inference(theory_normalisation,[status(thm)],[c_202,c_50,c_49]) ).

tcf(c_204,plain,
    addition(iPr_def_10,one) = one,
    inference(theory_normalisation,[status(thm)],[c_201,c_50,c_49]) ).

tcf(c_214,plain,
    ! [X0: $i] : domain(multiplication(one,X0)) = domain(domain(X0)),
    inference(superposition,[status(thm)],[c_55,c_61]) ).

tcf(c_222,plain,
    ! [X0: $i] : domain(domain(X0)) = domain(X0),
    inference(light_normalisation,[status(thm)],[c_214,c_55]) ).

tcf(c_225,plain,
    domain(iPr_def_10) = iPr_def_10,
    inference(superposition,[status(thm)],[c_120,c_222]) ).

tcf(c_226,plain,
    domain(iPr_def_11) = iPr_def_11,
    inference(superposition,[status(thm)],[c_121,c_222]) ).

tcf(c_284,plain,
    ! [X0: $i] : multiplication(iPr_def_10,multiplication(iPr_def_11,X0)) = multiplication(iPr_def_12,X0),
    inference(superposition,[status(thm)],[c_122,c_53]) ).

tcf(c_285,plain,
    ! [X0: $i] : multiplication(iPr_def_11,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_13,X0),
    inference(superposition,[status(thm)],[c_123,c_53]) ).

tcf(c_402,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_11),multiplication(X0,one)) = multiplication(X0,one),
    inference(superposition,[status(thm)],[c_203,c_56]) ).

tcf(c_403,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,one)) = multiplication(X0,one),
    inference(superposition,[status(thm)],[c_204,c_56]) ).

tcf(c_415,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_10),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_403,c_54]) ).

tcf(c_416,plain,
    ! [X0: $i] : addition(X0,multiplication(X0,iPr_def_10)) = X0,
    inference(theory_normalisation,[status(thm)],[c_415,c_50,c_49]) ).

tcf(c_417,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_11),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_402,c_54]) ).

tcf(c_418,plain,
    ! [X0: $i] : addition(X0,multiplication(X0,iPr_def_11)) = X0,
    inference(theory_normalisation,[status(thm)],[c_417,c_50,c_49]) ).

tcf(c_436,plain,
    ! [X0: $i,X1: $i] : addition(multiplication(one,X0),multiplication(domain(X1),X0)) = multiplication(one,X0),
    inference(superposition,[status(thm)],[c_79,c_57]) ).

tcf(c_438,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_11,X0),multiplication(one,X0)) = multiplication(one,X0),
    inference(superposition,[status(thm)],[c_203,c_57]) ).

tcf(c_439,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(one,X0)) = multiplication(one,X0),
    inference(superposition,[status(thm)],[c_204,c_57]) ).

tcf(c_455,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_10,X0),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_439,c_55]) ).

tcf(c_456,plain,
    ! [X0: $i] : addition(X0,multiplication(iPr_def_10,X0)) = X0,
    inference(theory_normalisation,[status(thm)],[c_455,c_50,c_49]) ).

tcf(c_457,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_11,X0),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_438,c_55]) ).

tcf(c_458,plain,
    ! [X0: $i] : addition(X0,multiplication(iPr_def_11,X0)) = X0,
    inference(theory_normalisation,[status(thm)],[c_457,c_50,c_49]) ).

tcf(c_460,plain,
    ! [X0: $i,X1: $i] : addition(X0,multiplication(domain(X1),X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_436,c_55]) ).

tcf(c_463,plain,
    ! [X0: $i] : multiplication(domain(X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_60,c_460]) ).

tcf(c_476,plain,
    multiplication(iPr_def_10,iPr_def_10) = iPr_def_10,
    inference(superposition,[status(thm)],[c_225,c_463]) ).

tcf(c_499,plain,
    ! [X0: $i] : multiplication(iPr_def_10,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_10,X0),
    inference(superposition,[status(thm)],[c_476,c_53]) ).

tcf(c_579,plain,
    addition(iPr_def_11,iPr_def_12) = iPr_def_11,
    inference(superposition,[status(thm)],[c_122,c_456]) ).

tcf(c_596,plain,
    addition(domain(iPr_def_11),domain(iPr_def_12)) = domain(iPr_def_11),
    inference(superposition,[status(thm)],[c_579,c_64]) ).

tcf(c_599,plain,
    addition(iPr_def_11,domain(iPr_def_12)) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_596,c_226]) ).

tcf(c_605,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_11,X0),multiplication(domain(iPr_def_12),X0)) = multiplication(iPr_def_11,X0),
    inference(superposition,[status(thm)],[c_599,c_57]) ).

tcf(c_613,plain,
    addition(iPr_def_10,iPr_def_13) = iPr_def_10,
    inference(superposition,[status(thm)],[c_123,c_458]) ).

tcf(c_628,plain,
    addition(domain(iPr_def_10),domain(iPr_def_13)) = domain(iPr_def_10),
    inference(superposition,[status(thm)],[c_613,c_64]) ).

tcf(c_631,plain,
    addition(iPr_def_10,domain(iPr_def_13)) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_628,c_225]) ).

tcf(c_637,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(domain(iPr_def_13),X0)) = multiplication(iPr_def_10,X0),
    inference(superposition,[status(thm)],[c_631,c_57]) ).

tcf(c_753,plain,
    addition(iPr_def_12,multiplication(iPr_def_10,multiplication(iPr_def_11,iPr_def_10))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_284,c_416]) ).

tcf(c_758,plain,
    addition(iPr_def_12,multiplication(iPr_def_10,iPr_def_13)) = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_753,c_123]) ).

tcf(c_778,plain,
    addition(iPr_def_13,multiplication(iPr_def_11,multiplication(iPr_def_10,iPr_def_11))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_285,c_418]) ).

tcf(c_780,plain,
    addition(iPr_def_13,multiplication(iPr_def_11,iPr_def_12)) = iPr_def_13,
    inference(light_normalisation,[status(thm)],[c_778,c_122]) ).

tcf(c_795,plain,
    ! [X0: $i] : addition(iPr_def_13,addition(multiplication(iPr_def_11,iPr_def_12),X0)) = addition(iPr_def_13,X0),
    inference(superposition,[status(thm)],[c_780,c_50]) ).

tcf(c_854,plain,
    multiplication(iPr_def_10,iPr_def_12) = iPr_def_12,
    inference(superposition,[status(thm)],[c_122,c_499]) ).

tcf(c_21287,plain,
    addition(iPr_def_13,multiplication(domain(iPr_def_12),iPr_def_12)) = addition(iPr_def_13,multiplication(iPr_def_11,iPr_def_12)),
    inference(superposition,[status(thm)],[c_605,c_795]) ).

tcf(c_21293,plain,
    addition(iPr_def_13,multiplication(domain(iPr_def_12),iPr_def_12)) = iPr_def_13,
    inference(light_normalisation,[status(thm)],[c_21287,c_780]) ).

tcf(c_21317,plain,
    addition(iPr_def_12,iPr_def_13) = iPr_def_13,
    inference(demodulation,[status(thm)],[c_21293,c_49,c_463]) ).

tcf(c_21321,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_12),multiplication(X0,iPr_def_13)) = multiplication(X0,iPr_def_13),
    inference(superposition,[status(thm)],[c_21317,c_56]) ).

tcf(c_21678,plain,
    addition(iPr_def_12,multiplication(iPr_def_10,iPr_def_13)) = multiplication(iPr_def_10,iPr_def_13),
    inference(superposition,[status(thm)],[c_854,c_21321]) ).

tcf(c_21706,plain,
    multiplication(iPr_def_10,iPr_def_13) = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_21678,c_758]) ).

tcf(c_22755,plain,
    addition(multiplication(iPr_def_10,iPr_def_13),iPr_def_13) = multiplication(iPr_def_10,iPr_def_13),
    inference(superposition,[status(thm)],[c_463,c_637]) ).

tcf(c_22771,plain,
    addition(iPr_def_13,multiplication(iPr_def_10,iPr_def_13)) = multiplication(iPr_def_10,iPr_def_13),
    inference(theory_normalisation,[status(thm)],[c_22755,c_50,c_49]) ).

tcf(c_22772,plain,
    addition(iPr_def_13,iPr_def_12) = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_22771,c_21706]) ).

tcf(c_22773,plain,
    addition(iPr_def_12,iPr_def_13) = iPr_def_12,
    inference(theory_normalisation,[status(thm)],[c_22772,c_50,c_49]) ).

tcf(c_22786,plain,
    iPr_def_12 = iPr_def_13,
    inference(demodulation,[status(thm)],[c_21317,c_22773]) ).

tcf(c_22787,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_22786,c_124]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE062+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Wed Sep 23 18:52:09 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 4.86/2.29  % SZS status Started for theBenchmark.p
% 4.86/2.29  % SZS status Theorem for theBenchmark.p
% 4.86/2.29  
% 4.86/2.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.86/2.29  
% 4.86/2.29  % ------  iProver source info
% 4.86/2.29  
% 4.86/2.29  % git: date: 2026-07-19 20:42:38 +0200
% 4.86/2.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.86/2.29  % git: non_committed_changes: false
% 4.86/2.29  
% 4.86/2.29  % ------ Parsing...
% 4.86/2.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_UEQ
% 4.86/2.29  % 
% 4.86/2.29  
% 4.86/2.29  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.86/2.29  
% 4.86/2.29  % ------ Preprocessing...% ------  preprocesses with Option_UEQ
% 4.86/2.29   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.86/2.29  
% 4.86/2.29  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.86/2.29  % ------ Proving...
% 4.86/2.29  % ------ Problem Properties 
% 4.86/2.29  
% 4.86/2.29  % 
% 4.86/2.29  % clauses                               21
% 4.86/2.29  % conjectures                           1
% 4.86/2.29  % EPR                                   1
% 4.86/2.29  % Horn                                  21
% 4.86/2.29  % unary                                 21
% 4.86/2.29  % binary                                0
% 4.86/2.29  % lits                                  21
% 4.86/2.29  % lits eq                               21
% 4.86/2.29  % fd_pure                               0
% 4.86/2.29  % fd_pseudo                             0
% 4.86/2.29  % fd_cond                               0
% 4.86/2.29  % fd_pseudo_cond                        0
% 4.86/2.29  % AC symbols                            1
% 4.86/2.29  
% 4.86/2.29  % ------ Schedule UEQ
% 4.86/2.29  
% 4.86/2.29  % ------ Option_UEQ Time Limit: 10.
% 4.86/2.29  
% 4.86/2.29  
% 4.86/2.29  % ------ 
% 4.86/2.29  % Current options:
% 4.86/2.29  % ------ 
% 4.86/2.29  
% 4.86/2.29  
% 4.86/2.29  % 
% 4.86/2.29  
% 4.86/2.29  % ------ Proving...
% 4.86/2.29  % 
% 4.86/2.29  
% 4.86/2.29  % SZS status Theorem for theBenchmark.p
% 4.86/2.29  
% 4.86/2.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.86/2.29  
% 4.86/2.29  
%------------------------------------------------------------------------------