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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : RNG008-5 : 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 : n007.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 02:38:10 PM UTC 2026

% Result   : Unsatisfiable 3.67s 1.09s
% Output   : CNFRefutation 3.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  101 (  86 unt;   1 def)
%            Number of atoms       :  204 (  85 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   95 (  50   ~;  45   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  179 (   0 sgn 179   !;   0   ?; 140   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).

fof(f2,axiom,
    ! [X0] : sum(X0,additive_identity,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).

fof(f6,axiom,
    ! [X0] : sum(X0,additive_inverse(X0),additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X2,X3,X5)
      | ~ sum(X0,X4,X5)
      | ~ sum(X1,X3,X4)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( sum(X1,X0,X2)
      | ~ sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X2,X3,X5)
      | ~ product(X0,X4,X5)
      | ~ product(X1,X3,X4)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication2) ).

fof(f13,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/RNG001-0.ax',distributivity2) ).

fof(f15,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/RNG001-0.ax',distributivity4) ).

fof(f19,axiom,
    ! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).

fof(f21,axiom,
    ! [X0] : product(additive_identity,X0,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_id2) ).

fof(f22,axiom,
    ! [X0,X1] : sum(additive_inverse(X0),additive_inverse(X1),additive_inverse(add(X0,X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute_additive_inverse) ).

fof(f23,axiom,
    ! [X0,X1] : product(X0,additive_inverse(X1),additive_inverse(multiply(X0,X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_inverse) ).

fof(f24,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x) ).

fof(f25,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).

fof(f26,negated_conjecture,
    ~ product(b,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).

tcf(c_75,plain,
    ! [X0: $i] : sum(additive_identity,X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_76,plain,
    ! [X0: $i] : sum(X0,additive_identity,X0),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_80,plain,
    ! [X0: $i] : sum(X0,additive_inverse(X0),additive_identity),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( sum(X2,X5,X4)
      | ~ sum(X1,X5,X3)
      | ~ sum(X0,X3,X4)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sum(X1,X0,X2)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_85,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,[],[f11]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( product(X6,X2,X5)
      | ~ product(X6,X1,X4)
      | ~ product(X6,X0,X3)
      | ~ sum(X3,X4,X5)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f13]) ).

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,[],[f15]) ).

tcf(c_93,plain,
    ! [X0: $i] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_95,plain,
    ! [X0: $i] : product(additive_identity,X0,additive_identity),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i] : sum(additive_inverse(X0),additive_inverse(X1),additive_inverse(add(X0,X1))),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i] : product(X0,additive_inverse(X1),additive_inverse(multiply(X0,X1))),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_98,plain,
    ! [X0: $i] : product(X0,X0,X0),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_99,plain,
    product(a,b,c),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_100,negated_conjecture,
    ~ product(b,a,c),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_112,plain,
    ! [X0: $i] : add(additive_inverse(additive_inverse(X0)),additive_identity) = X0,
    inference(well_definedness,[status(thm)],[c_93]) ).

tcf(c_114,plain,
    ! [X0: $i] : multiply(additive_identity,X0) = additive_identity,
    inference(well_definedness,[status(thm)],[c_95]) ).

tcf(c_115,plain,
    ! [X0: $i,X1: $i] : add(additive_inverse(X0),additive_inverse(X1)) = additive_inverse(add(X0,X1)),
    inference(well_definedness,[status(thm)],[c_96]) ).

tcf(c_116,plain,
    ! [X0: $i,X1: $i] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
    inference(well_definedness,[status(thm)],[c_97]) ).

tcf(c_117,plain,
    ! [X0: $i] : multiply(X0,X0) = X0,
    inference(well_definedness,[status(thm)],[c_98]) ).

tcf(c_118,plain,
    multiply(a,b) = c,
    inference(well_definedness,[status(thm)],[c_99]) ).

tcf(c_119,plain,
    multiply(b,a) != c,
    inference(well_definedness,[status(thm)],[c_100]) ).

tcf(c_120,plain,
    ! [X0: $i] : add(additive_identity,X0) = X0,
    inference(well_definedness,[status(thm)],[c_75]) ).

tcf(c_121,plain,
    ! [X0: $i] : add(X0,additive_identity) = X0,
    inference(well_definedness,[status(thm)],[c_76]) ).

tcf(c_125,plain,
    ! [X0: $i] : add(X0,additive_inverse(X0)) = additive_identity,
    inference(well_definedness,[status(thm)],[c_80]) ).

tcf(c_128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( add(X2,X5) = X4 )
      | ( add(X1,X5) != X3 )
      | ( add(X0,X3) != X4 )
      | ( add(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_82]) ).

tcf(c_130,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X1,X0) = X2 )
      | ( add(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_83]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( multiply(X2,X5) = X4 )
      | ( multiply(X1,X5) != X3 )
      | ( multiply(X0,X3) != X4 )
      | ( multiply(X0,X1) != X2 ) ),
    inference(well_definedness,[status(thm)],[c_85]) ).

tcf(c_138,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_87]) ).

tcf(c_142,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_89]) ).

tcf(c_274,plain,
    ! [X0: $i] : additive_inverse(additive_inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_112,c_121]) ).

tcf(c_275,plain,
    ! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
    inference(unflattening,[status(thm)],[c_130]) ).

tcf(c_279,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(unflattening,[status(thm)],[c_134]) ).

tcf(c_281,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    inference(unflattening,[status(thm)],[c_128]) ).

tcf(c_283,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
    inference(unflattening,[status(thm)],[c_142]) ).

tcf(c_285,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
    inference(unflattening,[status(thm)],[c_138]) ).

tcf(c_334,definition,
    iPr_def_10 = multiply(b,a),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_335,plain,
    iPr_def_10 != c,
    inference(demodulation,[status(thm)],[c_119,c_334]) ).

tcf(c_401,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
    inference(superposition,[status(thm)],[c_281,c_275]) ).

tcf(c_416,plain,
    ! [X0: $i] : multiply(X0,additive_inverse(X0)) = additive_inverse(X0),
    inference(superposition,[status(thm)],[c_117,c_116]) ).

tcf(c_428,plain,
    ! [X0: $i] : multiply(additive_inverse(X0),X0) = X0,
    inference(superposition,[status(thm)],[c_274,c_416]) ).

tcf(c_452,plain,
    ! [X0: $i,X1: $i] : multiply(add(additive_inverse(X0),additive_inverse(X1)),add(X0,X1)) = add(X0,X1),
    inference(superposition,[status(thm)],[c_115,c_428]) ).

tcf(c_512,plain,
    ! [X0: $i,X1: $i] : multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_117,c_279]) ).

tcf(c_513,plain,
    ! [X0: $i] : multiply(a,multiply(b,X0)) = multiply(c,X0),
    inference(superposition,[status(thm)],[c_118,c_279]) ).

tcf(c_514,plain,
    ! [X0: $i] : multiply(b,multiply(a,X0)) = multiply(iPr_def_10,X0),
    inference(superposition,[status(thm)],[c_334,c_279]) ).

tcf(c_530,plain,
    multiply(b,a) = multiply(iPr_def_10,a),
    inference(superposition,[status(thm)],[c_117,c_514]) ).

tcf(c_531,plain,
    multiply(b,c) = multiply(iPr_def_10,b),
    inference(superposition,[status(thm)],[c_118,c_514]) ).

tcf(c_537,plain,
    multiply(iPr_def_10,a) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_530,c_334]) ).

tcf(c_543,plain,
    ! [X0: $i,X1: $i] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
    inference(superposition,[status(thm)],[c_125,c_281]) ).

tcf(c_559,plain,
    ! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = multiply(additive_identity,X1),
    inference(superposition,[status(thm)],[c_125,c_283]) ).

tcf(c_600,plain,
    multiply(b,iPr_def_10) = iPr_def_10,
    inference(superposition,[status(thm)],[c_334,c_512]) ).

tcf(c_689,plain,
    multiply(a,multiply(b,c)) = c,
    inference(superposition,[status(thm)],[c_513,c_117]) ).

tcf(c_693,plain,
    multiply(a,multiply(iPr_def_10,b)) = c,
    inference(light_normalisation,[status(thm)],[c_689,c_531]) ).

tcf(c_823,plain,
    ! [X0: $i,X1: $i] : add(X0,add(additive_inverse(X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_543,c_120]) ).

tcf(c_829,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,additive_inverse(X0))) = X1,
    inference(superposition,[status(thm)],[c_275,c_823]) ).

tcf(c_1523,plain,
    ! [X0: $i,X1: $i] : add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = additive_identity,
    inference(demodulation,[status(thm)],[c_559,c_114]) ).

tcf(c_1528,plain,
    add(iPr_def_10,multiply(additive_inverse(b),a)) = additive_identity,
    inference(superposition,[status(thm)],[c_334,c_1523]) ).

tcf(c_1571,plain,
    ! [X0: $i] : add(multiply(X0,X0),X0) = additive_identity,
    inference(superposition,[status(thm)],[c_428,c_1523]) ).

tcf(c_1603,plain,
    ! [X0: $i] : add(X0,multiply(X0,X0)) = additive_identity,
    inference(theory_normalisation,[status(thm)],[c_1571,c_281,c_275]) ).

tcf(c_1604,plain,
    ! [X0: $i] : add(X0,X0) = additive_identity,
    inference(light_normalisation,[status(thm)],[c_1603,c_117]) ).

tcf(c_1664,plain,
    ! [X0: $i] : add(iPr_def_10,add(X0,multiply(additive_inverse(b),a))) = add(X0,additive_identity),
    inference(superposition,[status(thm)],[c_1528,c_401]) ).

tcf(c_1667,plain,
    ! [X0: $i] : add(iPr_def_10,add(X0,multiply(additive_inverse(b),a))) = X0,
    inference(light_normalisation,[status(thm)],[c_1664,c_121]) ).

tcf(c_1689,plain,
    ! [X0: $i] : add(X0,additive_identity) = additive_inverse(X0),
    inference(superposition,[status(thm)],[c_1604,c_829]) ).

tcf(c_1691,plain,
    ! [X0: $i] : additive_inverse(X0) = X0,
    inference(light_normalisation,[status(thm)],[c_1689,c_121]) ).

tcf(c_1704,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_823,c_1691]) ).

tcf(c_1784,plain,
    ! [X0: $i] : add(iPr_def_10,add(X0,iPr_def_10)) = X0,
    inference(demodulation,[status(thm)],[c_1667,c_334,c_1691]) ).

tcf(c_1797,plain,
    ! [X0: $i,X1: $i] : add(iPr_def_10,add(X0,add(X1,iPr_def_10))) = add(X0,X1),
    inference(superposition,[status(thm)],[c_1784,c_401]) ).

tcf(c_1963,plain,
    ! [X0: $i] : add(add(X0,iPr_def_10),X0) = add(iPr_def_10,additive_identity),
    inference(superposition,[status(thm)],[c_1604,c_1797]) ).

tcf(c_1983,plain,
    ! [X0: $i] : add(X0,add(iPr_def_10,X0)) = add(iPr_def_10,additive_identity),
    inference(theory_normalisation,[status(thm)],[c_1963,c_281,c_275]) ).

tcf(c_1992,plain,
    ! [X0: $i] : add(X0,add(iPr_def_10,X0)) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_1983,c_121]) ).

tcf(c_2008,plain,
    ! [X0: $i,X1: $i] : add(X0,add(add(iPr_def_10,X0),X1)) = add(iPr_def_10,X1),
    inference(superposition,[status(thm)],[c_1992,c_281]) ).

tcf(c_2026,plain,
    ! [X0: $i,X1: $i] : add(X0,add(iPr_def_10,add(X0,X1))) = add(iPr_def_10,X1),
    inference(theory_normalisation,[status(thm)],[c_2008,c_281,c_275]) ).

tcf(c_5201,plain,
    ! [X0: $i,X1: $i] : multiply(add(X0,additive_inverse(X1)),add(X0,X1)) = add(X0,X1),
    inference(light_normalisation,[status(thm)],[c_452,c_1691]) ).

tcf(c_5202,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,add(multiply(X0,X1),multiply(X1,X0)))) = add(X0,X1),
    inference(demodulation,[status(thm)],[c_5201,c_117,c_275,c_281,c_283,c_285,c_401,c_1691]) ).

tcf(c_5293,plain,
    ! [X0: $i] : add(iPr_def_10,add(multiply(iPr_def_10,X0),multiply(X0,iPr_def_10))) = add(X0,add(iPr_def_10,X0)),
    inference(superposition,[status(thm)],[c_5202,c_2026]) ).

tcf(c_5321,plain,
    ! [X0: $i] : add(iPr_def_10,add(multiply(iPr_def_10,X0),multiply(X0,iPr_def_10))) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_5293,c_1992]) ).

tcf(c_5604,plain,
    add(iPr_def_10,add(iPr_def_10,multiply(a,iPr_def_10))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_537,c_5321]) ).

tcf(c_5613,plain,
    add(iPr_def_10,add(multiply(iPr_def_10,b),iPr_def_10)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_600,c_5321]) ).

tcf(c_5637,plain,
    add(iPr_def_10,add(iPr_def_10,multiply(iPr_def_10,b))) = iPr_def_10,
    inference(theory_normalisation,[status(thm)],[c_5613,c_281,c_275]) ).

tcf(c_5661,plain,
    multiply(a,iPr_def_10) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_5604,c_1704]) ).

tcf(c_5663,plain,
    ! [X0: $i] : multiply(a,multiply(iPr_def_10,X0)) = multiply(iPr_def_10,X0),
    inference(superposition,[status(thm)],[c_5661,c_279]) ).

tcf(c_5667,plain,
    multiply(iPr_def_10,b) = c,
    inference(demodulation,[status(thm)],[c_693,c_5663]) ).

tcf(c_5686,plain,
    add(iPr_def_10,add(iPr_def_10,c)) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_5637,c_5667]) ).

tcf(c_5687,plain,
    c = iPr_def_10,
    inference(demodulation,[status(thm)],[c_5686,c_1704]) ).

tcf(c_5704,plain,
    iPr_def_10 != iPr_def_10,
    inference(demodulation,[status(thm)],[c_335,c_5687]) ).

tcf(c_5705,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_5704]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : RNG008-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n007.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 07:41:23 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 3.67/1.09  % SZS status Started for theBenchmark.p
% 3.67/1.09  % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.09  
% 3.67/1.09  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.67/1.09  
% 3.67/1.09  % ------  iProver source info
% 3.67/1.09  
% 3.67/1.09  % git: date: 2026-07-19 20:42:38 +0200
% 3.67/1.09  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.67/1.09  % git: non_committed_changes: false
% 3.67/1.09  
% 3.67/1.09  % ------ Parsing...% successful
% 3.67/1.09  
% 3.67/1.09  
% 3.67/1.09  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.67/1.09  
% 3.67/1.09  % ------ Preprocessing... sup_sim: 16  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 % 
% 3.67/1.09  
% 3.67/1.09  % ------ Preprocessing...% ------  preprocesses with Option_UEQ
% 3.67/1.09   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.67/1.09  
% 3.67/1.09  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.67/1.09  % ------ Proving...
% 3.67/1.09  % ------ Problem Properties 
% 3.67/1.09  
% 3.67/1.09  % 
% 3.67/1.09  % clauses                               17
% 3.67/1.09  % conjectures                           0
% 3.67/1.09  % EPR                                   1
% 3.67/1.09  % Horn                                  17
% 3.67/1.09  % unary                                 17
% 3.67/1.09  % binary                                0
% 3.67/1.09  % lits                                  17
% 3.67/1.09  % lits eq                               17
% 3.67/1.09  % fd_pure                               0
% 3.67/1.09  % fd_pseudo                             0
% 3.67/1.09  % fd_cond                               0
% 3.67/1.09  % fd_pseudo_cond                        0
% 3.67/1.09  % AC symbols                            1
% 3.67/1.09  
% 3.67/1.09  % ------ Schedule UEQ
% 3.67/1.09  
% 3.67/1.09  % ------ Option_UEQ Time Limit: 10.
% 3.67/1.09  
% 3.67/1.09  
% 3.67/1.09  % ------ 
% 3.67/1.09  % Current options:
% 3.67/1.09  % ------ 
% 3.67/1.09  
% 3.67/1.09  
% 3.67/1.09  % 
% 3.67/1.09  
% 3.67/1.09  % ------ Proving...
% 3.67/1.09  % 
% 3.67/1.09  
% 3.67/1.09  % SZS status Unsatisfiable for theBenchmark.p
% 3.67/1.09  
% 3.67/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.67/1.10  
% 3.67/1.10  
%------------------------------------------------------------------------------