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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KLE071+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 : n003.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 01:52:20 PM UTC 2026

% Result   : Theorem 10.90s 2.95s
% Output   : CNFRefutation 10.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   99 (  99 unt;  10 def)
%            Number of atoms       :  220 (  98 equ)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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  :   12 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  103 (   0 sgn 100   !;   3   ?;  48   :)

% 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(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

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

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

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

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

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

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

fof(f18,conjecture,
    ! [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f19,negated_conjecture,
    ~ ! [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f20,plain,
    ? [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) != multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
    inference(ennf_transformation,[],[f19]) ).

fof(f21,plain,
    addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != multiplication(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[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(f25,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

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,
    addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != multiplication(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))),
    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_52,plain,
    ! [X0: $i] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f25]) ).

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(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))) != addition(domain(sK0),multiplication(domain(sK1),domain(sK2))),
    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_115,plain,
    multiplication(domain(addition(sK0,sK1)),domain(addition(sK0,sK2))) != addition(domain(sK0),multiplication(domain(sK1),domain(sK2))),
    inference(ac_demodulation,[status(thm)],[c_65,c_64,c_64,c_50,c_49]) ).

tcf(c_121,definition,
    iPr_def_10 = addition(sK0,sK1),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

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

tcf(c_123,definition,
    iPr_def_12 = addition(sK0,sK2),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_124,definition,
    iPr_def_13 = domain(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_125,definition,
    iPr_def_14 = multiplication(iPr_def_11,iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_126,definition,
    iPr_def_15 = domain(sK0),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_127,definition,
    iPr_def_16 = domain(sK1),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_128,definition,
    iPr_def_17 = domain(sK2),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_129,definition,
    iPr_def_18 = multiplication(iPr_def_16,iPr_def_17),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_130,definition,
    iPr_def_19 = addition(iPr_def_15,iPr_def_18),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_131,plain,
    iPr_def_14 != iPr_def_19,
    inference(demodulation,[status(thm)],[c_115,c_128,c_127,c_129,c_126,c_130,c_123,c_124,c_121,c_122,c_125]) ).

tcf(c_218,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

tcf(c_221,plain,
    addition(one,iPr_def_16) = one,
    inference(superposition,[status(thm)],[c_127,c_79]) ).

tcf(c_222,plain,
    addition(one,iPr_def_17) = one,
    inference(superposition,[status(thm)],[c_128,c_79]) ).

tcf(c_227,plain,
    addition(iPr_def_17,one) = one,
    inference(theory_normalisation,[status(thm)],[c_222,c_50,c_49]) ).

tcf(c_228,plain,
    addition(iPr_def_16,one) = one,
    inference(theory_normalisation,[status(thm)],[c_221,c_50,c_49]) ).

tcf(c_267,plain,
    ! [X0: $i] : domain(multiplication(one,X0)) = domain(domain(X0)),
    inference(superposition,[status(thm)],[c_55,c_61]) ).

tcf(c_278,plain,
    ! [X0: $i] : domain(domain(X0)) = domain(X0),
    inference(light_normalisation,[status(thm)],[c_267,c_55]) ).

tcf(c_285,plain,
    addition(domain(sK0),domain(sK1)) = domain(iPr_def_10),
    inference(superposition,[status(thm)],[c_121,c_64]) ).

tcf(c_286,plain,
    addition(domain(sK0),domain(sK2)) = domain(iPr_def_12),
    inference(superposition,[status(thm)],[c_123,c_64]) ).

tcf(c_296,plain,
    addition(iPr_def_15,iPr_def_17) = iPr_def_13,
    inference(light_normalisation,[status(thm)],[c_286,c_124,c_126,c_128]) ).

tcf(c_297,plain,
    addition(iPr_def_15,iPr_def_16) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_285,c_122,c_126,c_127]) ).

tcf(c_304,plain,
    ! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(superposition,[status(thm)],[c_52,c_50]) ).

tcf(c_308,plain,
    ! [X0: $i] : addition(iPr_def_15,addition(iPr_def_18,X0)) = addition(iPr_def_19,X0),
    inference(superposition,[status(thm)],[c_130,c_50]) ).

tcf(c_343,plain,
    domain(iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_126,c_278]) ).

tcf(c_344,plain,
    domain(iPr_def_16) = iPr_def_16,
    inference(superposition,[status(thm)],[c_127,c_278]) ).

tcf(c_428,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_15),multiplication(X0,iPr_def_18)) = multiplication(X0,iPr_def_19),
    inference(superposition,[status(thm)],[c_130,c_56]) ).

tcf(c_432,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_17),multiplication(X0,one)) = multiplication(X0,one),
    inference(superposition,[status(thm)],[c_227,c_56]) ).

tcf(c_435,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_15),multiplication(X0,iPr_def_17)) = multiplication(X0,iPr_def_13),
    inference(superposition,[status(thm)],[c_296,c_56]) ).

tcf(c_451,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_17),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_432,c_54]) ).

tcf(c_452,plain,
    ! [X0: $i] : addition(X0,multiplication(X0,iPr_def_17)) = X0,
    inference(theory_normalisation,[status(thm)],[c_451,c_50,c_49]) ).

tcf(c_474,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_483,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_16,X0),multiplication(one,X0)) = multiplication(one,X0),
    inference(superposition,[status(thm)],[c_228,c_57]) ).

tcf(c_486,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_15,X0),multiplication(iPr_def_16,X0)) = multiplication(iPr_def_11,X0),
    inference(superposition,[status(thm)],[c_297,c_57]) ).

tcf(c_499,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_16,X0),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_483,c_55]) ).

tcf(c_500,plain,
    ! [X0: $i] : addition(X0,multiplication(iPr_def_16,X0)) = X0,
    inference(theory_normalisation,[status(thm)],[c_499,c_50,c_49]) ).

tcf(c_509,plain,
    ! [X0: $i,X1: $i] : addition(X0,multiplication(domain(X1),X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_474,c_55]) ).

tcf(c_511,plain,
    ! [X0: $i] : multiplication(domain(X0),X0) = X0,
    inference(demodulation,[status(thm)],[c_60,c_509]) ).

tcf(c_525,plain,
    multiplication(iPr_def_15,iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_343,c_511]) ).

tcf(c_529,plain,
    multiplication(iPr_def_16,iPr_def_16) = iPr_def_16,
    inference(superposition,[status(thm)],[c_344,c_511]) ).

tcf(c_549,plain,
    ! [X0: $i] : multiplication(iPr_def_16,multiplication(iPr_def_16,X0)) = multiplication(iPr_def_16,X0),
    inference(superposition,[status(thm)],[c_529,c_53]) ).

tcf(c_4749,plain,
    multiplication(iPr_def_16,iPr_def_18) = iPr_def_18,
    inference(superposition,[status(thm)],[c_129,c_549]) ).

tcf(c_8612,plain,
    addition(iPr_def_19,addition(multiplication(iPr_def_16,iPr_def_15),multiplication(iPr_def_16,iPr_def_18))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_428,c_500]) ).

tcf(c_8613,plain,
    addition(iPr_def_19,addition(multiplication(iPr_def_16,iPr_def_15),iPr_def_18)) = iPr_def_19,
    inference(light_normalisation,[status(thm)],[c_8612,c_4749]) ).

tcf(c_8614,plain,
    addition(iPr_def_18,addition(iPr_def_19,multiplication(iPr_def_16,iPr_def_15))) = iPr_def_19,
    inference(theory_normalisation,[status(thm)],[c_8613,c_50,c_49]) ).

tcf(c_9457,plain,
    addition(iPr_def_15,multiplication(iPr_def_15,iPr_def_17)) = multiplication(iPr_def_15,iPr_def_13),
    inference(superposition,[status(thm)],[c_525,c_435]) ).

tcf(c_9463,plain,
    addition(multiplication(iPr_def_16,iPr_def_15),iPr_def_18) = multiplication(iPr_def_16,iPr_def_13),
    inference(superposition,[status(thm)],[c_129,c_435]) ).

tcf(c_9475,plain,
    addition(iPr_def_18,multiplication(iPr_def_16,iPr_def_15)) = multiplication(iPr_def_16,iPr_def_13),
    inference(theory_normalisation,[status(thm)],[c_9463,c_50,c_49]) ).

tcf(c_19502,plain,
    addition(iPr_def_18,multiplication(iPr_def_16,iPr_def_13)) = multiplication(iPr_def_16,iPr_def_13),
    inference(superposition,[status(thm)],[c_9475,c_304]) ).

tcf(c_19508,plain,
    ! [X0: $i] : addition(iPr_def_18,addition(X0,multiplication(iPr_def_16,iPr_def_15))) = addition(X0,multiplication(iPr_def_16,iPr_def_13)),
    inference(superposition,[status(thm)],[c_9475,c_218]) ).

tcf(c_19517,plain,
    addition(iPr_def_15,multiplication(iPr_def_16,iPr_def_13)) = iPr_def_19,
    inference(demodulation,[status(thm)],[c_8614,c_308,c_19502,c_19508]) ).

tcf(c_19570,plain,
    multiplication(iPr_def_15,iPr_def_13) = iPr_def_15,
    inference(demodulation,[status(thm)],[c_9457,c_452]) ).

tcf(c_19577,plain,
    addition(iPr_def_15,multiplication(iPr_def_16,iPr_def_13)) = multiplication(iPr_def_11,iPr_def_13),
    inference(superposition,[status(thm)],[c_19570,c_486]) ).

tcf(c_19589,plain,
    iPr_def_14 = iPr_def_19,
    inference(light_normalisation,[status(thm)],[c_19577,c_125,c_19517]) ).

tcf(c_19590,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_19589,c_131]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : KLE071+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.44  % Computer : n003.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Wed Sep 23 18:52:51 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  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
% 0.23/0.52  
% 0.23/0.52  % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.52  
% 0.23/0.52  % Detected problem language: tptp
% 0.23/0.54  % Proving...
% 10.90/2.95  % SZS status Started for theBenchmark.p
% 10.90/2.95  % SZS status Theorem for theBenchmark.p
% 10.90/2.95  
% 10.90/2.95  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.90/2.95  
% 10.90/2.95  % ------  iProver source info
% 10.90/2.95  
% 10.90/2.95  % git: date: 2026-07-19 20:42:38 +0200
% 10.90/2.95  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.90/2.95  % git: non_committed_changes: false
% 10.90/2.95  
% 10.90/2.95  % ------ Parsing...
% 10.90/2.95  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_UEQ
% 10.90/2.95  % 
% 10.90/2.95  
% 10.90/2.95  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 10.90/2.95  
% 10.90/2.95  % ------ Preprocessing...% ------  preprocesses with Option_UEQ
% 10.90/2.95   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.90/2.95  
% 10.90/2.95  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.90/2.95  % ------ Proving...
% 10.90/2.95  % ------ Problem Properties 
% 10.90/2.95  
% 10.90/2.95  % 
% 10.90/2.95  % clauses                               27
% 10.90/2.95  % conjectures                           0
% 10.90/2.95  % EPR                                   1
% 10.90/2.95  % Horn                                  27
% 10.90/2.95  % unary                                 27
% 10.90/2.95  % binary                                0
% 10.90/2.95  % lits                                  27
% 10.90/2.95  % lits eq                               27
% 10.90/2.95  % fd_pure                               0
% 10.90/2.95  % fd_pseudo                             0
% 10.90/2.95  % fd_cond                               0
% 10.90/2.95  % fd_pseudo_cond                        0
% 10.90/2.95  % AC symbols                            1
% 10.90/2.95  
% 10.90/2.95  % ------ Schedule UEQ
% 10.90/2.95  
% 10.90/2.95  % ------ Option_UEQ Time Limit: 10.
% 10.90/2.95  
% 10.90/2.95  
% 10.90/2.95  % ------ 
% 10.90/2.95  % Current options:
% 10.90/2.95  % ------ 
% 10.90/2.95  
% 10.90/2.95  
% 10.90/2.95  % 
% 10.90/2.95  
% 10.90/2.95  % ------ Proving...
% 10.90/2.95  % 
% 10.90/2.95  
% 10.90/2.95  % SZS status Theorem for theBenchmark.p
% 10.90/2.95  
% 10.90/2.95  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.90/2.96  
%------------------------------------------------------------------------------