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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : FLD011-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n019.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 01:15:36 PM UTC 2026

% Result   : Unsatisfiable 22.20s 3.82s
% Output   : CNFRefutation 22.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   90 (  28 unt;   2 def)
%            Number of atoms       :  245 (   2 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  225 ( 111   ~; 114   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   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    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :  126 (   0 sgn 126   !;   0   ?;  83   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X4,X5,X2)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X3,X4)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | sum(additive_inverse(X0),X0,additive_identity) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ sum(X1,X0,X2)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X5,X2)
      | ~ product(X3,X5,X1)
      | ~ product(X0,X3,X4)
      | product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X3,X5,X2)
      | ~ product(X4,X1,X5)
      | ~ product(X3,X4,X0)
      | product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | product(multiplicative_identity,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | sum(additive_identity,X0,additive_identity)
      | product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ product(X1,X0,X2)
      | product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ product(X4,X6,X1)
      | ~ product(X3,X6,X0)
      | ~ product(X5,X6,X2)
      | ~ sum(X3,X4,X5)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ sum(X5,X6,X2)
      | ~ product(X4,X1,X6)
      | ~ product(X3,X1,X5)
      | ~ sum(X3,X4,X0)
      | product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).

fof(f14,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).

fof(f17,axiom,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).

fof(f18,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,additive_identity)
      | ~ defined(X0)
      | defined(multiplicative_inverse(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).

fof(f26,axiom,
    ~ sum(additive_identity,additive_identity,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',different_identities) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f28,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).

fof(f29,negated_conjecture,
    ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_3) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( sum(X0,X4,X5)
      | ~ sum(X2,X3,X5)
      | ~ sum(X1,X3,X4)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_80,plain,
    ! [X0: $i] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_81,plain,
    ! [X0: $i] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sum(X1,X0,X2)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( product(X0,X4,X5)
      | ~ product(X2,X3,X5)
      | ~ product(X1,X3,X4)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( product(X2,X5,X4)
      | ~ product(X1,X5,X3)
      | ~ product(X0,X3,X4)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_85,plain,
    ! [X0: $i] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_86,plain,
    ! [X0: $i] :
      ( sum(additive_identity,X0,additive_identity)
      | product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product(X1,X0,X2)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( sum(X4,X5,X6)
      | ~ product(X2,X3,X6)
      | ~ product(X1,X3,X5)
      | ~ product(X0,X3,X4)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( product(X2,X6,X5)
      | ~ product(X1,X6,X4)
      | ~ product(X0,X6,X3)
      | ~ sum(X3,X4,X5)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_91,plain,
    defined(additive_identity),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_94,plain,
    defined(multiplicative_identity),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_95,plain,
    ! [X0: $i] :
      ( defined(multiplicative_inverse(X0))
      | sum(additive_identity,X0,additive_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_103,plain,
    ~ sum(additive_identity,additive_identity,multiplicative_identity),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_104,plain,
    defined(a),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_105,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_106,negated_conjecture,
    ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_109,plain,
    ( sum(additive_identity,additive_identity,additive_identity)
    | ~ defined(additive_identity) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_277,definition,
    iPr_def_10 = multiplicative_inverse(a),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_278,definition,
    iPr_def_11 = multiplicative_inverse(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_279,negated_conjecture,
    ~ product(multiplicative_identity,iPr_def_11,a),
    inference(demodulation,[status(thm)],[c_106,c_277,c_278]) ).

tcf(c_280,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    inference(demodulation,[status(thm)],[c_105]) ).

tcf(c_734,plain,
    ! [X0: $i] :
      ( sum(X0,additive_inverse(X0),additive_identity)
      | ~ defined(X0) ),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

tcf(c_754,plain,
    ! [X0: $i] :
      ( product(X0,multiplicative_identity,X0)
      | ~ defined(X0) ),
    inference(superposition,[status(thm)],[c_85,c_87]) ).

tcf(c_761,plain,
    ( product(additive_identity,multiplicative_identity,additive_identity)
    | ~ defined(additive_identity) ),
    inference(instantiation,[status(thm)],[c_754]) ).

tcf(c_785,plain,
    ( defined(multiplicative_inverse(a))
    | ~ defined(a) ),
    inference(superposition,[status(thm)],[c_95,c_280]) ).

tcf(c_787,plain,
    ( defined(iPr_def_10)
    | ~ defined(a) ),
    inference(light_normalisation,[status(thm)],[c_785,c_277]) ).

tcf(c_788,plain,
    defined(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_787,c_104]) ).

tcf(c_811,plain,
    ( product(iPr_def_10,a,multiplicative_identity)
    | sum(additive_identity,a,additive_identity)
    | ~ defined(a) ),
    inference(superposition,[status(thm)],[c_277,c_86]) ).

tcf(c_812,plain,
    ( product(iPr_def_11,iPr_def_10,multiplicative_identity)
    | sum(additive_identity,iPr_def_10,additive_identity)
    | ~ defined(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_278,c_86]) ).

tcf(c_814,plain,
    ( product(iPr_def_11,iPr_def_10,multiplicative_identity)
    | sum(additive_identity,iPr_def_10,additive_identity) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_812,c_788]) ).

tcf(c_817,plain,
    product(iPr_def_10,a,multiplicative_identity),
    inference(forward_subsumption_resolution,[status(thm)],[c_811,c_280,c_104]) ).

tcf(c_902,plain,
    product(a,iPr_def_10,multiplicative_identity),
    inference(superposition,[status(thm)],[c_817,c_87]) ).

tcf(c_1166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sum(additive_identity,additive_identity,multiplicative_identity)
      | ~ sum(additive_identity,X0,X2)
      | ~ sum(X2,X1,multiplicative_identity)
      | ~ sum(X0,X1,additive_identity) ),
    inference(instantiation,[status(thm)],[c_78]) ).

tcf(c_1259,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sum(additive_identity,iPr_def_10,additive_identity)
      | product(iPr_def_11,X2,X1)
      | ~ product(iPr_def_10,X0,X2)
      | ~ product(multiplicative_identity,X0,X1) ),
    inference(superposition,[status(thm)],[c_814,c_83]) ).

tcf(c_1261,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product(a,X2,X1)
      | ~ product(iPr_def_10,X0,X2)
      | ~ product(multiplicative_identity,X0,X1) ),
    inference(superposition,[status(thm)],[c_902,c_83]) ).

tcf(c_1440,plain,
    ! [X0: $i,X1: $i] :
      ( product(a,X1,X0)
      | ~ defined(X0)
      | ~ product(iPr_def_10,X0,X1) ),
    inference(superposition,[status(thm)],[c_85,c_1261]) ).

tcf(c_1492,plain,
    ( product(a,multiplicative_identity,a)
    | ~ defined(a) ),
    inference(superposition,[status(thm)],[c_817,c_1440]) ).

tcf(c_1495,plain,
    product(a,multiplicative_identity,a),
    inference(forward_subsumption_resolution,[status(thm)],[c_1492,c_104]) ).

tcf(c_1511,plain,
    product(multiplicative_identity,a,a),
    inference(superposition,[status(thm)],[c_1495,c_87]) ).

tcf(c_1575,plain,
    ! [X0: $i] :
      ( sum(additive_identity,iPr_def_10,additive_identity)
      | product(iPr_def_11,X0,a)
      | ~ product(iPr_def_10,a,X0) ),
    inference(superposition,[status(thm)],[c_1511,c_1259]) ).

tcf(c_1654,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product(X2,X1,multiplicative_identity)
      | ~ product(a,X0,X2)
      | ~ product(X0,X1,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_902,c_84]) ).

tcf(c_2103,plain,
    ! [X0: $i] :
      ( sum(additive_identity,additive_identity,multiplicative_identity)
      | ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
      | ~ sum(additive_identity,X0,additive_identity)
      | ~ sum(X0,multiplicative_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_1166]) ).

tcf(c_2104,plain,
    ( sum(additive_identity,multiplicative_identity,multiplicative_identity)
    | ~ defined(multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_2105,plain,
    ( sum(additive_identity,additive_identity,multiplicative_identity)
    | ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
    | ~ sum(additive_identity,multiplicative_identity,additive_identity)
    | ~ sum(additive_identity,additive_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_2103]) ).

tcf(c_2544,plain,
    ! [X0: $i,X1: $i] :
      ( sum(multiplicative_identity,X0,X1)
      | ~ sum(X0,multiplicative_identity,X1) ),
    inference(instantiation,[status(thm)],[c_82]) ).

tcf(c_2851,plain,
    ! [X0: $i] :
      ( product(a,X0,multiplicative_identity)
      | ~ product(multiplicative_identity,X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_1495,c_1654]) ).

tcf(c_3487,plain,
    ( product(iPr_def_11,multiplicative_identity,a)
    | sum(additive_identity,iPr_def_10,additive_identity) ),
    inference(superposition,[status(thm)],[c_817,c_1575]) ).

tcf(c_3638,plain,
    ( product(multiplicative_identity,iPr_def_11,a)
    | sum(additive_identity,iPr_def_10,additive_identity) ),
    inference(superposition,[status(thm)],[c_3487,c_87]) ).

tcf(c_3641,plain,
    sum(additive_identity,iPr_def_10,additive_identity),
    inference(forward_subsumption_resolution,[status(thm)],[c_3638,c_279]) ).

tcf(c_3642,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( product(additive_identity,X3,X2)
      | ~ product(iPr_def_10,X3,X1)
      | ~ product(additive_identity,X3,X0)
      | ~ sum(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3641,c_89]) ).

tcf(c_3643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sum(X1,X3,X2)
      | ~ product(iPr_def_10,X0,X3)
      | ~ product(additive_identity,X0,X2)
      | ~ product(additive_identity,X0,X1) ),
    inference(superposition,[status(thm)],[c_3641,c_88]) ).

tcf(c_3975,plain,
    ! [X0: $i,X1: $i] :
      ( product(additive_identity,X0,X1)
      | ~ defined(X1)
      | ~ product(additive_identity,X0,additive_identity)
      | ~ product(iPr_def_10,X0,X1) ),
    inference(superposition,[status(thm)],[c_80,c_3642]) ).

tcf(c_5198,plain,
    ( sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)
    | ~ defined(multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_5199,plain,
    ! [X0: $i] :
      ( sum(X0,multiplicative_identity,additive_identity)
      | ~ sum(multiplicative_identity,X0,additive_identity) ),
    inference(instantiation,[status(thm)],[c_82]) ).

tcf(c_5200,plain,
    ( sum(additive_identity,multiplicative_identity,additive_identity)
    | ~ sum(multiplicative_identity,additive_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_5199]) ).

tcf(c_5992,plain,
    ( product(additive_identity,multiplicative_identity,iPr_def_10)
    | ~ defined(iPr_def_10)
    | ~ product(additive_identity,multiplicative_identity,additive_identity) ),
    inference(superposition,[status(thm)],[c_754,c_3975]) ).

tcf(c_6003,plain,
    ( product(additive_identity,multiplicative_identity,iPr_def_10)
    | ~ product(additive_identity,multiplicative_identity,additive_identity) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5992,c_788]) ).

tcf(c_10972,plain,
    ( sum(multiplicative_identity,additive_inverse(multiplicative_identity),additive_identity)
    | ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity) ),
    inference(instantiation,[status(thm)],[c_2544]) ).

tcf(c_11443,plain,
    product(additive_identity,multiplicative_identity,iPr_def_10),
    inference(global_subsumption_just,[status(thm)],[c_6003,c_91,c_761,c_6003]) ).

tcf(c_11447,plain,
    product(multiplicative_identity,additive_identity,iPr_def_10),
    inference(superposition,[status(thm)],[c_11443,c_87]) ).

tcf(c_12141,plain,
    product(a,additive_identity,multiplicative_identity),
    inference(superposition,[status(thm)],[c_11447,c_2851]) ).

tcf(c_12261,plain,
    product(additive_identity,a,multiplicative_identity),
    inference(superposition,[status(thm)],[c_12141,c_87]) ).

tcf(c_12299,plain,
    ! [X0: $i,X1: $i] :
      ( sum(multiplicative_identity,X1,X0)
      | ~ product(iPr_def_10,a,X1)
      | ~ product(additive_identity,a,X0) ),
    inference(superposition,[status(thm)],[c_12261,c_3643]) ).

tcf(c_12708,plain,
    ! [X0: $i] :
      ( sum(multiplicative_identity,X0,multiplicative_identity)
      | ~ product(iPr_def_10,a,X0) ),
    inference(superposition,[status(thm)],[c_12261,c_12299]) ).

tcf(c_63119,plain,
    sum(multiplicative_identity,multiplicative_identity,multiplicative_identity),
    inference(superposition,[status(thm)],[c_817,c_12708]) ).

tcf(c_63135,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sum(multiplicative_identity,X1,X2)
      | ~ sum(multiplicative_identity,X0,X2)
      | ~ sum(multiplicative_identity,X0,X1) ),
    inference(superposition,[status(thm)],[c_63119,c_78]) ).

tcf(c_64457,plain,
    ! [X0: $i] :
      ( sum(multiplicative_identity,additive_identity,X0)
      | ~ defined(multiplicative_identity)
      | ~ sum(multiplicative_identity,additive_inverse(multiplicative_identity),X0) ),
    inference(superposition,[status(thm)],[c_734,c_63135]) ).

tcf(c_64497,plain,
    ! [X0: $i] :
      ( sum(multiplicative_identity,additive_identity,X0)
      | ~ sum(multiplicative_identity,additive_inverse(multiplicative_identity),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_64457,c_94]) ).

tcf(c_64570,plain,
    ( sum(multiplicative_identity,additive_identity,additive_identity)
    | ~ sum(multiplicative_identity,additive_inverse(multiplicative_identity),additive_identity) ),
    inference(instantiation,[status(thm)],[c_64497]) ).

tcf(c_64571,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_64570,c_10972,c_5200,c_5198,c_2104,c_2105,c_109,c_103,c_91,c_94]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : FLD011-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n019.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 : Fri Sep 25 10:34:49 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  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
% 0.11/0.44  
% 0.11/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44  
% 0.11/0.44  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 22.20/3.82  % SZS status Started for theBenchmark.p
% 22.20/3.82  % SZS status Unsatisfiable for theBenchmark.p
% 22.20/3.82  
% 22.20/3.82  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.20/3.82  
% 22.20/3.82  % ------  iProver source info
% 22.20/3.82  
% 22.20/3.82  % git: date: 2026-07-19 20:42:38 +0200
% 22.20/3.82  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.20/3.82  % git: non_committed_changes: false
% 22.20/3.82  
% 22.20/3.82  % ------ Parsing...% successful
% 22.20/3.82  
% 22.20/3.82  
% 22.20/3.82  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 22.20/3.82  
% 22.20/3.82  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 22.20/3.82  
% 22.20/3.82  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 22.20/3.82  
% 22.20/3.82  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 22.20/3.82  % ------ Proving...
% 22.20/3.82  % ------ Problem Properties 
% 22.20/3.82  
% 22.20/3.82  % 
% 22.20/3.82  % clauses                               31
% 22.20/3.82  % conjectures                           2
% 22.20/3.82  % EPR                                   21
% 22.20/3.82  % Horn                                  28
% 22.20/3.82  % unary                                 8
% 22.20/3.82  % binary                                6
% 22.20/3.82  % lits                                  82
% 22.20/3.82  % lits eq                               2
% 22.20/3.82  % fd_pure                               0
% 22.20/3.82  % fd_pseudo                             0
% 22.20/3.82  % fd_cond                               0
% 22.20/3.82  % fd_pseudo_cond                        0
% 22.20/3.82  % AC symbols                            0
% 22.20/3.82  
% 22.20/3.82  % ------ Schedule dynamic 5 is on 
% 22.20/3.82  
% 22.20/3.82  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.20/3.82  
% 22.20/3.82  
% 22.20/3.82  % ------ 
% 22.20/3.82  % Current options:
% 22.20/3.82  % ------ 
% 22.20/3.82  
% 22.20/3.82  
% 22.20/3.82  % 
% 22.20/3.82  
% 22.20/3.82  % ------ Proving...
% 22.20/3.82  % 
% 22.20/3.82  
% 22.20/3.82  % SZS status Unsatisfiable for theBenchmark.p
% 22.20/3.82  
% 22.20/3.82  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.20/3.82  
% 22.20/3.82  
%------------------------------------------------------------------------------