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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : BOO009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/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 01:00:11 PM UTC 2026

% Result   : Unsatisfiable 3.94s 1.30s
% Output   : CNFRefutation 3.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   89 (  71 unt;   2 def)
%            Number of atoms       :  277 (  80 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  113 (  59   ~;  54   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  200 (   0 sgn 200   !;   0   ?; 160   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X2,X0,X1] :
      ( sum(X1,X0,X2)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( product(X1,X0,X2)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).

fof(f5,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).

fof(f6,axiom,
    ! [X0] : sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).

fof(f7,axiom,
    ! [X0] : product(multiplicative_identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).

fof(f8,axiom,
    ! [X0] : product(X0,multiplicative_identity,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( product(X0,X5,X6)
      | ~ sum(X2,X4,X6)
      | ~ sum(X1,X3,X5)
      | ~ product(X0,X3,X4)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity2) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( product(X5,X1,X6)
      | ~ sum(X2,X4,X6)
      | ~ sum(X0,X3,X5)
      | ~ product(X3,X1,X4)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity4) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( sum(X0,X5,X6)
      | ~ product(X2,X4,X6)
      | ~ product(X1,X3,X5)
      | ~ sum(X0,X3,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity6) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( sum(X5,X1,X6)
      | ~ product(X2,X4,X6)
      | ~ product(X0,X3,X5)
      | ~ sum(X3,X1,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity8) ).

fof(f18,axiom,
    ! [X0] : sum(X0,inverse(X0),multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).

fof(f20,axiom,
    ! [X0] : product(X0,inverse(X0),additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).

fof(f23,negated_conjecture,
    ~ product(x,add(x,y),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equations) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sum(X1,X0,X2)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product(X1,X0,X2)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_76,plain,
    ! [X0: $i] : sum(additive_identity,X0,X0),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_77,plain,
    ! [X0: $i] : sum(X0,additive_identity,X0),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_78,plain,
    ! [X0: $i] : product(multiplicative_identity,X0,X0),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_79,plain,
    ! [X0: $i] : product(X0,multiplicative_identity,X0),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( product(X0,X5,X6)
      | ~ sum(X2,X4,X6)
      | ~ sum(X1,X3,X5)
      | ~ product(X0,X3,X4)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( product(X5,X1,X6)
      | ~ sum(X2,X4,X6)
      | ~ sum(X0,X3,X5)
      | ~ product(X3,X1,X4)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( sum(X6,X2,X5)
      | ~ sum(X6,X1,X4)
      | ~ sum(X6,X0,X3)
      | ~ product(X3,X4,X5)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( sum(X2,X6,X5)
      | ~ sum(X1,X6,X4)
      | ~ sum(X0,X6,X3)
      | ~ product(X3,X4,X5)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_89,plain,
    ! [X0: $i] : sum(X0,inverse(X0),multiplicative_identity),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_91,plain,
    ! [X0: $i] : product(X0,inverse(X0),additive_identity),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_94,negated_conjecture,
    ~ product(x,add(x,y),x),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_106,plain,
    multiply(x,add(x,y)) != x,
    inference(well_definedness,[status(thm)],[c_94]) ).

tcf(c_109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X1,X0) = X2 )
      | ( add(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_74]) ).

tcf(c_111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiply(X1,X0) = X2 )
      | ( multiply(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_75]) ).

tcf(c_113,plain,
    ! [X0: $i] : add(additive_identity,X0) = X0,
    inference(well_definedness,[status(thm)],[c_76]) ).

tcf(c_114,plain,
    ! [X0: $i] : add(X0,additive_identity) = X0,
    inference(well_definedness,[status(thm)],[c_77]) ).

tcf(c_115,plain,
    ! [X0: $i] : multiply(multiplicative_identity,X0) = X0,
    inference(well_definedness,[status(thm)],[c_78]) ).

tcf(c_116,plain,
    ! [X0: $i] : multiply(X0,multiplicative_identity) = X0,
    inference(well_definedness,[status(thm)],[c_79]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( multiply(X6,X2) = X5 )
      | ( multiply(X6,X1) != X4 )
      | ( multiply(X6,X0) != X3 )
      | ( add(X3,X4) != X5 )
      | ( add(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_81]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( multiply(X2,X6) = X5 )
      | ( multiply(X1,X6) != X4 )
      | ( multiply(X0,X6) != X3 )
      | ( add(X3,X4) != X5 )
      | ( add(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_83]) ).

tcf(c_127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( add(X0,X5) = X6 )
      | ( multiply(X2,X4) != X6 )
      | ( multiply(X1,X3) != X5 )
      | ( add(X0,X3) != X4 )
      | ( add(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_85]) ).

tcf(c_131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( add(X5,X1) = X6 )
      | ( multiply(X2,X4) != X6 )
      | ( multiply(X0,X3) != X5 )
      | ( add(X3,X1) != X4 )
      | ( add(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_87]) ).

tcf(c_134,plain,
    ! [X0: $i] : add(X0,inverse(X0)) = multiplicative_identity,
    inference(well_definedness,[status(thm)],[c_89]) ).

tcf(c_136,plain,
    ! [X0: $i] : multiply(X0,inverse(X0)) = additive_identity,
    inference(well_definedness,[status(thm)],[c_91]) ).

tcf(c_274,plain,
    ! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
    inference(unflattening,[status(thm)],[c_111]) ).

tcf(c_276,plain,
    ! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
    inference(unflattening,[status(thm)],[c_109]) ).

tcf(c_280,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
    inference(unflattening,[status(thm)],[c_131]) ).

tcf(c_282,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
    inference(unflattening,[status(thm)],[c_127]) ).

tcf(c_284,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
    inference(unflattening,[status(thm)],[c_123]) ).

tcf(c_286,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
    inference(unflattening,[status(thm)],[c_119]) ).

tcf(c_326,definition,
    iPr_def_10 = add(x,y),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_327,definition,
    iPr_def_11 = multiply(x,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_328,plain,
    iPr_def_11 != x,
    inference(demodulation,[status(thm)],[c_106,c_326,c_327]) ).

tcf(c_384,plain,
    multiply(iPr_def_10,x) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_327,c_274]) ).

tcf(c_405,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(multiply(X0,X1),multiply(X0,X2)),add(multiply(X2,X1),multiply(X2,X2))) = add(multiply(X0,X1),X2),
    inference(demodulation,[status(thm)],[c_280,c_284,c_286]) ).

tcf(c_408,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(multiply(X0,X1),multiply(X0,X2)),add(multiply(X1,X2),multiply(X1,X1))) = add(multiply(X0,X2),X1),
    inference(superposition,[status(thm)],[c_276,c_405]) ).

tcf(c_410,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(multiply(X0,X1),multiply(X1,X2)),add(multiply(X2,X0),multiply(X2,X2))) = add(multiply(X0,X1),X2),
    inference(superposition,[status(thm)],[c_274,c_405]) ).

tcf(c_438,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(multiply(X0,X0),multiply(X0,X1)),add(multiply(X2,X0),multiply(X2,X1))) = add(X0,multiply(X2,X1)),
    inference(demodulation,[status(thm)],[c_282,c_284,c_286]) ).

tcf(c_468,plain,
    ! [X0: $i,X1: $i] : add(multiply(X0,X0),X1) = add(X0,multiply(X1,X1)),
    inference(superposition,[status(thm)],[c_438,c_405]) ).

tcf(c_491,plain,
    ! [X0: $i,X1: $i] : add(X0,multiply(X1,X1)) = add(X1,multiply(X0,X0)),
    inference(superposition,[status(thm)],[c_468,c_276]) ).

tcf(c_605,plain,
    ! [X0: $i] : add(multiply(x,X0),multiply(y,X0)) = multiply(iPr_def_10,X0),
    inference(superposition,[status(thm)],[c_326,c_284]) ).

tcf(c_654,plain,
    add(multiply(x,inverse(y)),additive_identity) = multiply(iPr_def_10,inverse(y)),
    inference(superposition,[status(thm)],[c_136,c_605]) ).

tcf(c_666,plain,
    ! [X0: $i] : add(multiply(X0,x),multiply(X0,y)) = multiply(X0,iPr_def_10),
    inference(superposition,[status(thm)],[c_326,c_286]) ).

tcf(c_671,plain,
    ! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = multiply(X0,multiplicative_identity),
    inference(superposition,[status(thm)],[c_134,c_286]) ).

tcf(c_685,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(add(X1,X2),X0),
    inference(superposition,[status(thm)],[c_286,c_274]) ).

tcf(c_706,plain,
    ! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
    inference(light_normalisation,[status(thm)],[c_671,c_116]) ).

tcf(c_770,plain,
    ! [X0: $i] : add(X0,multiply(multiplicative_identity,inverse(X0))) = multiplicative_identity,
    inference(superposition,[status(thm)],[c_115,c_706]) ).

tcf(c_782,plain,
    ! [X0: $i] : add(multiply(X0,X0),additive_identity) = X0,
    inference(superposition,[status(thm)],[c_136,c_706]) ).

tcf(c_792,plain,
    ! [X0: $i,X1: $i] : add(add(multiply(X0,X0),multiply(X0,inverse(X0))),X1) = add(X0,multiply(X1,inverse(X0))),
    inference(superposition,[status(thm)],[c_706,c_438]) ).

tcf(c_799,plain,
    ! [X0: $i,X1: $i] : add(add(multiply(X0,X0),additive_identity),X1) = add(X0,multiply(X1,inverse(X0))),
    inference(light_normalisation,[status(thm)],[c_792,c_136]) ).

tcf(c_802,plain,
    ! [X0: $i] : multiply(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_782,c_114]) ).

tcf(c_804,plain,
    ! [X0: $i,X1: $i] : add(X0,multiply(X1,X1)) = add(X1,X0),
    inference(demodulation,[status(thm)],[c_491,c_802]) ).

tcf(c_809,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,multiply(X0,X1)),add(multiply(X2,X0),multiply(X2,X1))) = add(X0,multiply(X2,X1)),
    inference(demodulation,[status(thm)],[c_438,c_802]) ).

tcf(c_817,plain,
    add(x,multiply(x,y)) = multiply(x,iPr_def_10),
    inference(superposition,[status(thm)],[c_802,c_666]) ).

tcf(c_835,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(multiply(X0,X1),multiply(X0,X2)),add(X1,multiply(X1,X2))) = add(multiply(X0,X2),X1),
    inference(demodulation,[status(thm)],[c_408,c_804]) ).

tcf(c_840,plain,
    ! [X0: $i] : add(multiply(X0,iPr_def_10),add(x,multiply(x,y))) = add(multiply(X0,y),x),
    inference(superposition,[status(thm)],[c_666,c_835]) ).

tcf(c_871,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,multiply(X0,X1)),add(multiply(X2,X0),multiply(X2,X1))) = add(multiply(X2,X1),X0),
    inference(superposition,[status(thm)],[c_835,c_276]) ).

tcf(c_877,plain,
    ! [X0: $i] : add(multiply(X0,iPr_def_10),multiply(x,iPr_def_10)) = add(multiply(X0,y),x),
    inference(light_normalisation,[status(thm)],[c_840,c_817]) ).

tcf(c_900,plain,
    ! [X0: $i] : add(multiplicative_identity,X0) = multiplicative_identity,
    inference(demodulation,[status(thm)],[c_770,c_114,c_276,c_799,c_802]) ).

tcf(c_905,plain,
    ! [X0: $i,X1: $i] : add(multiply(X0,multiplicative_identity),multiply(X0,X1)) = multiply(X0,multiplicative_identity),
    inference(superposition,[status(thm)],[c_900,c_286]) ).

tcf(c_906,plain,
    ! [X0: $i,X1: $i] : add(multiply(multiplicative_identity,X0),multiply(X1,X0)) = multiply(multiplicative_identity,X0),
    inference(superposition,[status(thm)],[c_900,c_284]) ).

tcf(c_908,plain,
    ! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_906,c_115]) ).

tcf(c_909,plain,
    ! [X0: $i,X1: $i] : add(X0,multiply(X0,X1)) = X0,
    inference(light_normalisation,[status(thm)],[c_905,c_116]) ).

tcf(c_929,plain,
    ! [X0: $i] : add(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_802,c_908]) ).

tcf(c_986,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(X0,add(multiply(X1,X2),multiply(X2,X0))) = add(multiply(X1,X2),X0),
    inference(demodulation,[status(thm)],[c_410,c_276,c_804,c_909]) ).

tcf(c_998,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,multiply(multiplicative_identity,X0))) = add(X1,X0),
    inference(superposition,[status(thm)],[c_116,c_986]) ).

tcf(c_1023,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,X0)) = add(X1,X0),
    inference(light_normalisation,[status(thm)],[c_998,c_115]) ).

tcf(c_1080,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X0,X1)) = add(X0,X1),
    inference(superposition,[status(thm)],[c_276,c_1023]) ).

tcf(c_1381,plain,
    multiply(x,inverse(y)) = multiply(iPr_def_10,inverse(y)),
    inference(demodulation,[status(thm)],[c_654,c_113,c_809,c_871]) ).

tcf(c_1392,plain,
    add(multiply(x,y),multiply(iPr_def_10,inverse(y))) = x,
    inference(superposition,[status(thm)],[c_1381,c_706]) ).

tcf(c_1397,plain,
    add(multiply(x,y),x) = x,
    inference(superposition,[status(thm)],[c_1392,c_1080]) ).

tcf(c_1401,plain,
    x = iPr_def_11,
    inference(demodulation,[status(thm)],[c_1397,c_284,c_384,c_685,c_877,c_929]) ).

tcf(c_1418,plain,
    iPr_def_11 != iPr_def_11,
    inference(demodulation,[status(thm)],[c_328,c_1401]) ).

tcf(c_1419,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_1418]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : BOO009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n026.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.38  % DateTime : Fri Sep 25 06:33:24 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 3.94/1.30  % SZS status Started for theBenchmark.p
% 3.94/1.30  % SZS status Unsatisfiable for theBenchmark.p
% 3.94/1.30  
% 3.94/1.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.94/1.30  
% 3.94/1.30  % ------  iProver source info
% 3.94/1.30  
% 3.94/1.30  % git: date: 2026-07-19 20:42:38 +0200
% 3.94/1.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.94/1.30  % git: non_committed_changes: false
% 3.94/1.30  
% 3.94/1.30  % ------ Parsing...% successful
% 3.94/1.30  
% 3.94/1.30  
% 3.94/1.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.94/1.30  
% 3.94/1.30  % ------ Preprocessing... sup_sim: 18  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.94/1.30  
% 3.94/1.30  % ------ Preprocessing...% ------  preprocesses with Option_UEQ
% 3.94/1.30   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.94/1.30  
% 3.94/1.30  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.94/1.30  % ------ Proving...
% 3.94/1.30  % ------ Problem Properties 
% 3.94/1.30  
% 3.94/1.30  % 
% 3.94/1.30  % clauses                               15
% 3.94/1.30  % conjectures                           0
% 3.94/1.30  % EPR                                   1
% 3.94/1.30  % Horn                                  15
% 3.94/1.30  % unary                                 15
% 3.94/1.30  % binary                                0
% 3.94/1.30  % lits                                  15
% 3.94/1.30  % lits eq                               15
% 3.94/1.30  % fd_pure                               0
% 3.94/1.30  % fd_pseudo                             0
% 3.94/1.30  % fd_cond                               0
% 3.94/1.30  % fd_pseudo_cond                        0
% 3.94/1.30  % AC symbols                            0
% 3.94/1.30  
% 3.94/1.30  % ------ Schedule UEQ
% 3.94/1.30  
% 3.94/1.30  % ------ Option_UEQ Time Limit: 10.
% 3.94/1.30  
% 3.94/1.30  
% 3.94/1.30  % ------ 
% 3.94/1.30  % Current options:
% 3.94/1.30  % ------ 
% 3.94/1.30  
% 3.94/1.30  
% 3.94/1.30  % 
% 3.94/1.30  
% 3.94/1.30  % ------ Proving...
% 3.94/1.30  % 
% 3.94/1.30  
% 3.94/1.30  % SZS status Unsatisfiable for theBenchmark.p
% 3.94/1.30  
% 3.94/1.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.94/1.30  
% 3.94/1.30  
%------------------------------------------------------------------------------