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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP185-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n010.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 01:31:44 PM UTC 2026

% Result   : Unsatisfiable 12.35s 2.60s
% Output   : CNFRefutation 3.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   88 (  88 unt;   6 def)
%            Number of atoms       :  164 (  87 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   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  :    8 (   6 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  119 (   0 sgn 119   !;   0   ?;  92   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

fof(f2,axiom,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

fof(f3,plain,
    ! [X0] : identity = multiply(inverse(X0),X0),
    inference(reorient_equations,[],[f2]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

fof(f5,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

fof(f6,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

fof(f7,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).

fof(f8,axiom,
    ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).

fof(f9,axiom,
    ! [X0] : least_upper_bound(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',idempotence_of_lub) ).

fof(f11,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).

fof(f12,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).

fof(f13,axiom,
    ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).

fof(f15,axiom,
    ! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).

fof(f17,negated_conjecture,
    greatest_lower_bound(least_upper_bound(multiply(a,b),identity),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))) != least_upper_bound(multiply(a,b),identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p22b) ).

fof(f18,plain,
    least_upper_bound(multiply(a,b),identity) != greatest_lower_bound(least_upper_bound(multiply(a,b),identity),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))),
    inference(reorient_equations,[],[f17]) ).

tcf(c_65,plain,
    ! [X0: $i] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_66,plain,
    ! [X0: $i] : multiply(inverse(X0),X0) = identity,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] : least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_72,plain,
    ! [X0: $i] : least_upper_bound(X0,X0) = X0,
    inference(cnf_transformation,[],[f9]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    inference(cnf_transformation,[],[f11]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    inference(cnf_transformation,[],[f12]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i,X2: $i] : least_upper_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,least_upper_bound(X1,X2)),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i,X2: $i] : least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_80,negated_conjecture,
    greatest_lower_bound(least_upper_bound(multiply(a,b),identity),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))) != least_upper_bound(multiply(a,b),identity),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_133,definition,
    iPr_def_10 = multiply(a,b),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_134,definition,
    iPr_def_11 = least_upper_bound(iPr_def_10,identity),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_135,definition,
    iPr_def_12 = least_upper_bound(a,identity),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_136,definition,
    iPr_def_13 = least_upper_bound(b,identity),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_137,definition,
    iPr_def_14 = multiply(iPr_def_12,iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_138,definition,
    iPr_def_15 = greatest_lower_bound(iPr_def_11,iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_139,negated_conjecture,
    iPr_def_15 != iPr_def_11,
    inference(demodulation,[status(thm)],[c_80,c_136,c_135,c_137,c_133,c_134,c_138]) ).

tcf(c_140,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(demodulation,[status(thm)],[c_67]) ).

tcf(c_141,plain,
    ! [X0: $i] : multiply(inverse(X0),X0) = identity,
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_142,plain,
    ! [X0: $i] : multiply(identity,X0) = X0,
    inference(demodulation,[status(thm)],[c_65]) ).

tcf(c_144,plain,
    ! [X0: $i,X1: $i,X2: $i] : least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
    inference(demodulation,[status(thm)],[c_78]) ).

tcf(c_146,plain,
    ! [X0: $i,X1: $i,X2: $i] : least_upper_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,least_upper_bound(X1,X2)),
    inference(demodulation,[status(thm)],[c_76]) ).

tcf(c_147,plain,
    ! [X0: $i,X1: $i] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_75]) ).

tcf(c_148,plain,
    ! [X0: $i,X1: $i] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_74]) ).

tcf(c_150,plain,
    ! [X0: $i] : least_upper_bound(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_72]) ).

tcf(c_151,plain,
    ! [X0: $i,X1: $i,X2: $i] : least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
    inference(demodulation,[status(thm)],[c_71]) ).

tcf(c_152,plain,
    ! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
    inference(demodulation,[status(thm)],[c_70]) ).

tcf(c_153,plain,
    ! [X0: $i,X1: $i] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    inference(demodulation,[status(thm)],[c_69]) ).

tcf(c_154,plain,
    ! [X0: $i,X1: $i] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    inference(demodulation,[status(thm)],[c_68]) ).

tcf(c_232,plain,
    least_upper_bound(identity,a) = iPr_def_12,
    inference(theory_normalisation,[status(thm)],[c_135,c_151,c_153,c_152,c_154]) ).

tcf(c_233,plain,
    ! [X0: $i,X1: $i,X2: $i] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X1,least_upper_bound(X0,X2)),
    inference(superposition,[status(thm)],[c_151,c_153]) ).

tcf(c_234,plain,
    ! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X1,greatest_lower_bound(X0,X2)),
    inference(superposition,[status(thm)],[c_152,c_154]) ).

tcf(c_254,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_141,c_140]) ).

tcf(c_258,plain,
    ! [X0: $i] : least_upper_bound(b,least_upper_bound(identity,X0)) = least_upper_bound(iPr_def_13,X0),
    inference(superposition,[status(thm)],[c_136,c_151]) ).

tcf(c_281,plain,
    ! [X0: $i] : least_upper_bound(b,least_upper_bound(X0,identity)) = least_upper_bound(X0,iPr_def_13),
    inference(superposition,[status(thm)],[c_136,c_233]) ).

tcf(c_284,plain,
    ! [X0: $i] : least_upper_bound(iPr_def_10,least_upper_bound(X0,identity)) = least_upper_bound(X0,iPr_def_11),
    inference(superposition,[status(thm)],[c_134,c_233]) ).

tcf(c_285,plain,
    ! [X0: $i] : least_upper_bound(identity,least_upper_bound(X0,a)) = least_upper_bound(X0,iPr_def_12),
    inference(superposition,[status(thm)],[c_232,c_233]) ).

tcf(c_288,plain,
    ! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X2))) = X0,
    inference(superposition,[status(thm)],[c_233,c_147]) ).

tcf(c_338,plain,
    ! [X0: $i,X1: $i] : least_upper_bound(X0,multiply(X1,X0)) = multiply(least_upper_bound(identity,X1),X0),
    inference(superposition,[status(thm)],[c_142,c_144]) ).

tcf(c_420,plain,
    ! [X0: $i] : multiply(a,least_upper_bound(b,X0)) = least_upper_bound(iPr_def_10,multiply(a,X0)),
    inference(superposition,[status(thm)],[c_133,c_146]) ).

tcf(c_492,plain,
    ! [X0: $i,X1: $i,X2: $i] : least_upper_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X0,X2))) = X0,
    inference(superposition,[status(thm)],[c_234,c_148]) ).

tcf(c_499,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_254,c_142]) ).

tcf(c_725,plain,
    ! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_141,c_499]) ).

tcf(c_727,plain,
    multiply(inverse(iPr_def_12),iPr_def_14) = iPr_def_13,
    inference(superposition,[status(thm)],[c_137,c_499]) ).

tcf(c_728,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_499,c_499]) ).

tcf(c_763,plain,
    ! [X0: $i] : least_upper_bound(iPr_def_13,greatest_lower_bound(identity,X0)) = least_upper_bound(b,identity),
    inference(superposition,[status(thm)],[c_148,c_258]) ).

tcf(c_863,plain,
    least_upper_bound(b,identity) = least_upper_bound(identity,iPr_def_13),
    inference(superposition,[status(thm)],[c_150,c_281]) ).

tcf(c_941,plain,
    least_upper_bound(b,identity) = least_upper_bound(iPr_def_13,identity),
    inference(theory_normalisation,[status(thm)],[c_863,c_151,c_153,c_152,c_154]) ).

tcf(c_942,plain,
    least_upper_bound(iPr_def_13,identity) = iPr_def_13,
    inference(demodulation,[status(thm)],[c_941,c_136]) ).

tcf(c_963,plain,
    ! [X0: $i] : least_upper_bound(iPr_def_13,greatest_lower_bound(identity,X0)) = iPr_def_13,
    inference(demodulation,[status(thm)],[c_763,c_136]) ).

tcf(c_1508,plain,
    ! [X0: $i] : least_upper_bound(iPr_def_13,least_upper_bound(identity,X0)) = least_upper_bound(iPr_def_13,X0),
    inference(superposition,[status(thm)],[c_942,c_151]) ).

tcf(c_1513,plain,
    least_upper_bound(iPr_def_10,iPr_def_13) = least_upper_bound(iPr_def_13,iPr_def_11),
    inference(superposition,[status(thm)],[c_942,c_284]) ).

tcf(c_1756,plain,
    least_upper_bound(iPr_def_13,iPr_def_10) = least_upper_bound(iPr_def_13,iPr_def_11),
    inference(theory_normalisation,[status(thm)],[c_1513,c_151,c_153,c_152,c_154]) ).

tcf(c_2090,plain,
    ! [X0: $i,X1: $i] : least_upper_bound(iPr_def_13,greatest_lower_bound(X0,greatest_lower_bound(identity,X1))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_234,c_963]) ).

tcf(c_2361,plain,
    ! [X0: $i,X1: $i] : least_upper_bound(iPr_def_13,greatest_lower_bound(X0,greatest_lower_bound(identity,X1))) = least_upper_bound(b,identity),
    inference(superposition,[status(thm)],[c_492,c_258]) ).

tcf(c_2444,plain,
    least_upper_bound(b,identity) = iPr_def_13,
    inference(demodulation,[status(thm)],[c_2361,c_2090]) ).

tcf(c_2596,plain,
    ! [X0: $i] : least_upper_bound(least_upper_bound(iPr_def_13,iPr_def_11),X0) = least_upper_bound(iPr_def_13,least_upper_bound(iPr_def_10,X0)),
    inference(superposition,[status(thm)],[c_1756,c_151]) ).

tcf(c_2896,plain,
    ! [X0: $i] : least_upper_bound(iPr_def_13,least_upper_bound(iPr_def_10,X0)) = least_upper_bound(iPr_def_13,least_upper_bound(iPr_def_11,X0)),
    inference(theory_normalisation,[status(thm)],[c_2596,c_151,c_153,c_152,c_154]) ).

tcf(c_3842,plain,
    ! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_728,c_499]) ).

tcf(c_3843,plain,
    ! [X0: $i] : multiply(X0,identity) = X0,
    inference(superposition,[status(thm)],[c_728,c_725]) ).

tcf(c_4165,plain,
    multiply(iPr_def_12,iPr_def_13) = iPr_def_14,
    inference(superposition,[status(thm)],[c_727,c_3842]) ).

tcf(c_4437,plain,
    ! [X0: $i] : least_upper_bound(iPr_def_13,least_upper_bound(X0,a)) = least_upper_bound(iPr_def_13,least_upper_bound(X0,iPr_def_12)),
    inference(superposition,[status(thm)],[c_285,c_1508]) ).

tcf(c_8810,plain,
    ! [X0: $i] : least_upper_bound(X0,multiply(a,X0)) = multiply(iPr_def_12,X0),
    inference(superposition,[status(thm)],[c_232,c_338]) ).

tcf(c_12632,plain,
    least_upper_bound(iPr_def_10,multiply(a,identity)) = multiply(a,iPr_def_13),
    inference(superposition,[status(thm)],[c_2444,c_420]) ).

tcf(c_12672,plain,
    multiply(a,iPr_def_13) = least_upper_bound(iPr_def_10,a),
    inference(demodulation,[status(thm)],[c_12632,c_3843]) ).

tcf(c_13035,plain,
    least_upper_bound(iPr_def_13,least_upper_bound(iPr_def_10,a)) = multiply(iPr_def_12,iPr_def_13),
    inference(superposition,[status(thm)],[c_12672,c_8810]) ).

tcf(c_13297,plain,
    least_upper_bound(iPr_def_13,least_upper_bound(iPr_def_11,iPr_def_12)) = iPr_def_14,
    inference(demodulation,[status(thm)],[c_13035,c_2896,c_4165,c_4437]) ).

tcf(c_14046,plain,
    greatest_lower_bound(iPr_def_11,iPr_def_14) = iPr_def_11,
    inference(superposition,[status(thm)],[c_13297,c_288]) ).

tcf(c_14456,plain,
    iPr_def_11 = iPr_def_15,
    inference(superposition,[status(thm)],[c_14046,c_138]) ).

tcf(c_15095,plain,
    $false,
    inference(superposition,[status(thm)],[c_14456,c_139]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP185-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37  % Computer : n010.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Wed Sep 23 14:03:43 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41  Running UEQ theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42  
% 0.12/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42  
% 0.12/0.42  % Detected problem language: tptp
% 0.12/0.43  % Proving...
% 12.35/2.60  WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 12.35/2.60  % SZS status Started for theBenchmark.p
% 12.35/2.60  % SZS status Unsatisfiable for theBenchmark.p
% 12.35/2.60  
% 12.35/2.60  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 12.35/2.60  
% 12.35/2.60  % ------  iProver source info
% 12.35/2.60  
% 12.35/2.60  % git: date: 2026-07-19 20:42:38 +0200
% 12.35/2.60  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 12.35/2.60  % git: non_committed_changes: false
% 12.35/2.60  
% 12.35/2.60  % ------ Parsing...% successful
% 12.35/2.60  
% 12.35/2.60  
% 12.35/2.60  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 12.35/2.60  
% 12.35/2.60  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 12.35/2.60  
% 12.35/2.60  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 12.35/2.60  
% 12.35/2.60  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 12.35/2.60  % ------ Proving...
% 12.35/2.60  % ------ Problem Properties 
% 12.35/2.60  
% 12.35/2.60  % 
% 12.35/2.60  % clauses                               22
% 12.35/2.60  % conjectures                           1
% 12.35/2.60  % EPR                                   1
% 12.35/2.60  % Horn                                  22
% 12.35/2.60  % unary                                 22
% 12.35/2.60  % binary                                0
% 12.35/2.60  % lits                                  22
% 12.35/2.60  % lits eq                               22
% 12.35/2.60  % fd_pure                               0
% 12.35/2.60  % fd_pseudo                             0
% 12.35/2.60  % fd_cond                               0
% 12.35/2.60  % fd_pseudo_cond                        0
% 12.35/2.60  % AC symbols                            2
% 12.35/2.60  
% 12.35/2.60  % ------ Input Options Time Limit: Unbounded
% 12.35/2.60  
% 12.35/2.60  
% 12.35/2.60  % ------ 
% 12.35/2.60  % Current options:
% 12.35/2.60  % ------ 
% 12.35/2.60  
% 12.35/2.60  
% 12.35/2.60  % 
% 12.35/2.60  
% 12.35/2.60  % ------ Proving...
% 12.35/2.60  % 
% 12.35/2.60  
% 12.35/2.60  % SZS status Unsatisfiable for theBenchmark.p
% 12.35/2.60  
% 12.35/2.60  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.07/2.61  
% 3.07/2.61  
%------------------------------------------------------------------------------