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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KLE170+1.004 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 01:52:34 PM UTC 2026

% Result   : Theorem 59.98s 10.38s
% Output   : CNFRefutation 59.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  106 (  95 unt;   4 def)
%            Number of atoms       :  248 (  64 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   28 (  15   ~;  10   |;   1   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  112 (   0 sgn 112   !;   0   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+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/sandbox2/benchmark/Axioms/KLE002+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/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).

fof(f13,axiom,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).

fof(f14,axiom,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( leq(addition(multiplication(X0,X1),X2),X0)
     => leq(multiplication(X2,star(X1)),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).

fof(f17,conjecture,
    leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).

fof(f18,negated_conjecture,
    ~ leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ~ leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
    inference(flattening,[],[f18]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ~ leq(addition(multiplication(X0,X1),X2),X0)
      | leq(multiplication(X2,star(X1)),X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( ~ leq(X0,X1)
        | addition(X0,X1) = X1 )
      & ( addition(X0,X1) != X1
        | leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f23,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f24,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f26,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f27,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f30,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f31,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f36,plain,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f37,plain,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(cnf_transformation,[],[f14]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ leq(addition(multiplication(X0,X1),X2),X0)
      | leq(multiplication(X2,star(X1)),X0) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f40,plain,
    ~ leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_52,plain,
    ! [X0: $i] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f26]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_55,plain,
    ! [X0: $i] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f29]) ).

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,[],[f30]) ).

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,[],[f31]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( leq(X0,X1)
      | ( addition(X0,X1) != X1 ) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition(X0,X1) = X1 )
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_62,plain,
    ! [X0: $i] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_63,plain,
    ! [X0: $i] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leq(multiplication(X2,star(X1)),X0)
      | ~ leq(addition(multiplication(X0,X1),X2),X0) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_66,negated_conjecture,
    ~ leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_184,definition,
    iPr_def_10 = multiplication(a,a),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_185,definition,
    iPr_def_11 = multiplication(a,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_186,definition,
    iPr_def_12 = multiplication(a,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_187,definition,
    iPr_def_13 = star(a),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_188,negated_conjecture,
    ~ leq(iPr_def_12,iPr_def_13),
    inference(demodulation,[status(thm)],[c_66,c_187,c_184,c_185,c_186]) ).

tcf(c_495,plain,
    ! [X0: $i] : multiplication(a,multiplication(a,X0)) = multiplication(iPr_def_10,X0),
    inference(superposition,[status(thm)],[c_184,c_53]) ).

tcf(c_497,plain,
    ! [X0: $i] : multiplication(a,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_11,X0),
    inference(superposition,[status(thm)],[c_185,c_53]) ).

tcf(c_513,plain,
    leq(addition(one,multiplication(a,iPr_def_13)),iPr_def_13),
    inference(superposition,[status(thm)],[c_187,c_62]) ).

tcf(c_520,plain,
    leq(addition(one,multiplication(iPr_def_13,a)),iPr_def_13),
    inference(superposition,[status(thm)],[c_187,c_63]) ).

tcf(c_589,plain,
    addition(addition(one,multiplication(a,iPr_def_13)),iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_513,c_61]) ).

tcf(c_591,plain,
    addition(addition(one,multiplication(iPr_def_13,a)),iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_520,c_61]) ).

tcf(c_593,plain,
    addition(iPr_def_13,addition(one,multiplication(iPr_def_13,a))) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_591,c_50,c_49]) ).

tcf(c_594,plain,
    addition(iPr_def_13,addition(one,multiplication(a,iPr_def_13))) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_589,c_50,c_49]) ).

tcf(c_614,plain,
    ! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(superposition,[status(thm)],[c_52,c_50]) ).

tcf(c_743,plain,
    multiplication(a,iPr_def_10) = multiplication(iPr_def_10,a),
    inference(superposition,[status(thm)],[c_184,c_495]) ).

tcf(c_752,plain,
    multiplication(iPr_def_10,a) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_743,c_185]) ).

tcf(c_773,plain,
    multiplication(a,iPr_def_11) = multiplication(iPr_def_11,a),
    inference(superposition,[status(thm)],[c_752,c_497]) ).

tcf(c_780,plain,
    multiplication(iPr_def_11,a) = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_773,c_186]) ).

tcf(c_934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leq(multiplication(X0,star(X2)),X1)
      | ~ leq(addition(X0,multiplication(X1,X2)),X1) ),
    inference(superposition,[status(thm)],[c_49,c_65]) ).

tcf(c_1160,plain,
    ! [X0: $i,X1: $i] : leq(X0,addition(X0,X1)),
    inference(superposition,[status(thm)],[c_614,c_60]) ).

tcf(c_1205,plain,
    ! [X0: $i,X1: $i] : leq(X0,addition(X1,X0)),
    inference(superposition,[status(thm)],[c_49,c_1160]) ).

tcf(c_1207,plain,
    ! [X0: $i,X1: $i,X2: $i] : leq(addition(X0,X1),addition(X0,addition(X1,X2))),
    inference(superposition,[status(thm)],[c_50,c_1160]) ).

tcf(c_1219,plain,
    ! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X2,X0))),
    inference(superposition,[status(thm)],[c_50,c_1205]) ).

tcf(c_1234,plain,
    leq(multiplication(iPr_def_13,a),iPr_def_13),
    inference(superposition,[status(thm)],[c_593,c_1219]) ).

tcf(c_1235,plain,
    leq(multiplication(a,iPr_def_13),iPr_def_13),
    inference(superposition,[status(thm)],[c_594,c_1219]) ).

tcf(c_1237,plain,
    ! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X0,X2))),
    inference(superposition,[status(thm)],[c_49,c_1219]) ).

tcf(c_1286,plain,
    addition(multiplication(iPr_def_13,a),iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_1234,c_61]) ).

tcf(c_1287,plain,
    addition(iPr_def_13,multiplication(iPr_def_13,a)) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_1286,c_50,c_49]) ).

tcf(c_1288,plain,
    addition(multiplication(a,iPr_def_13),iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_1235,c_61]) ).

tcf(c_1289,plain,
    addition(iPr_def_13,multiplication(a,iPr_def_13)) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_1288,c_50,c_49]) ).

tcf(c_1295,plain,
    leq(one,iPr_def_13),
    inference(superposition,[status(thm)],[c_593,c_1237]) ).

tcf(c_1326,plain,
    addition(one,iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_1295,c_61]) ).

tcf(c_1327,plain,
    addition(iPr_def_13,one) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_1326,c_50,c_49]) ).

tcf(c_1537,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_13,X0),multiplication(one,X0)) = multiplication(iPr_def_13,X0),
    inference(superposition,[status(thm)],[c_1327,c_57]) ).

tcf(c_1541,plain,
    ! [X0: $i] : addition(multiplication(iPr_def_13,X0),X0) = multiplication(iPr_def_13,X0),
    inference(light_normalisation,[status(thm)],[c_1537,c_55]) ).

tcf(c_1542,plain,
    ! [X0: $i] : addition(X0,multiplication(iPr_def_13,X0)) = multiplication(iPr_def_13,X0),
    inference(theory_normalisation,[status(thm)],[c_1541,c_50,c_49]) ).

tcf(c_1586,plain,
    ! [X0: $i] : addition(iPr_def_13,addition(multiplication(a,iPr_def_13),X0)) = addition(iPr_def_13,X0),
    inference(superposition,[status(thm)],[c_1289,c_50]) ).

tcf(c_1818,plain,
    ! [X0: $i,X1: $i,X2: $i] : leq(addition(X0,X1),addition(X0,addition(X2,X1))),
    inference(superposition,[status(thm)],[c_49,c_1207]) ).

tcf(c_2323,plain,
    ! [X0: $i] : leq(addition(X0,multiplication(iPr_def_13,a)),addition(X0,iPr_def_13)),
    inference(superposition,[status(thm)],[c_1287,c_1818]) ).

tcf(c_3982,plain,
    ! [X0: $i,X1: $i] : leq(X0,addition(X1,multiplication(iPr_def_13,X0))),
    inference(superposition,[status(thm)],[c_1542,c_1237]) ).

tcf(c_4421,plain,
    leq(a,iPr_def_13),
    inference(superposition,[status(thm)],[c_1287,c_3982]) ).

tcf(c_4432,plain,
    addition(a,iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_4421,c_61]) ).

tcf(c_4433,plain,
    addition(iPr_def_13,a) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_4432,c_50,c_49]) ).

tcf(c_4454,plain,
    ! [X0: $i] : addition(multiplication(X0,iPr_def_13),multiplication(X0,a)) = multiplication(X0,iPr_def_13),
    inference(superposition,[status(thm)],[c_4433,c_56]) ).

tcf(c_114876,plain,
    ! [X0: $i,X1: $i] : leq(multiplication(X0,a),addition(X1,multiplication(X0,iPr_def_13))),
    inference(superposition,[status(thm)],[c_4454,c_1219]) ).

tcf(c_114895,plain,
    addition(iPr_def_13,multiplication(a,a)) = addition(iPr_def_13,multiplication(a,iPr_def_13)),
    inference(superposition,[status(thm)],[c_4454,c_1586]) ).

tcf(c_115049,plain,
    addition(iPr_def_13,iPr_def_10) = iPr_def_13,
    inference(light_normalisation,[status(thm)],[c_114895,c_184,c_1289]) ).

tcf(c_115050,plain,
    addition(iPr_def_10,iPr_def_13) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_115049,c_50,c_49]) ).

tcf(c_115769,plain,
    leq(addition(iPr_def_10,multiplication(iPr_def_13,a)),iPr_def_13),
    inference(superposition,[status(thm)],[c_115050,c_2323]) ).

tcf(c_117345,plain,
    leq(multiplication(iPr_def_10,star(a)),iPr_def_13),
    inference(superposition,[status(thm)],[c_115769,c_934]) ).

tcf(c_117346,plain,
    leq(multiplication(iPr_def_10,iPr_def_13),iPr_def_13),
    inference(light_normalisation,[status(thm)],[c_117345,c_187]) ).

tcf(c_117349,plain,
    addition(multiplication(iPr_def_10,iPr_def_13),iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_117346,c_61]) ).

tcf(c_117350,plain,
    addition(iPr_def_13,multiplication(iPr_def_10,iPr_def_13)) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_117349,c_50,c_49]) ).

tcf(c_130068,plain,
    ! [X0: $i] : leq(iPr_def_12,addition(X0,multiplication(iPr_def_11,iPr_def_13))),
    inference(superposition,[status(thm)],[c_780,c_114876]) ).

tcf(c_130082,plain,
    leq(multiplication(iPr_def_10,a),iPr_def_13),
    inference(superposition,[status(thm)],[c_117350,c_114876]) ).

tcf(c_130091,plain,
    leq(iPr_def_11,iPr_def_13),
    inference(light_normalisation,[status(thm)],[c_130082,c_752]) ).

tcf(c_130174,plain,
    addition(iPr_def_11,iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_130091,c_61]) ).

tcf(c_130700,plain,
    leq(addition(iPr_def_11,multiplication(iPr_def_13,a)),iPr_def_13),
    inference(superposition,[status(thm)],[c_130174,c_2323]) ).

tcf(c_132462,plain,
    leq(multiplication(iPr_def_11,star(a)),iPr_def_13),
    inference(superposition,[status(thm)],[c_130700,c_934]) ).

tcf(c_132463,plain,
    leq(multiplication(iPr_def_11,iPr_def_13),iPr_def_13),
    inference(light_normalisation,[status(thm)],[c_132462,c_187]) ).

tcf(c_132466,plain,
    addition(multiplication(iPr_def_11,iPr_def_13),iPr_def_13) = iPr_def_13,
    inference(superposition,[status(thm)],[c_132463,c_61]) ).

tcf(c_132467,plain,
    addition(iPr_def_13,multiplication(iPr_def_11,iPr_def_13)) = iPr_def_13,
    inference(theory_normalisation,[status(thm)],[c_132466,c_50,c_49]) ).

tcf(c_135093,plain,
    leq(iPr_def_12,iPr_def_13),
    inference(superposition,[status(thm)],[c_132467,c_130068]) ).

tcf(c_135094,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_135093,c_188]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE170+1.004 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n001.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Wed Sep 23 19:17:22 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41  
% 0.14/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41  
% 0.14/0.42  % Detected problem language: tptp
% 0.14/0.43  % Proving...
% 59.98/10.38  % SZS status Started for theBenchmark.p
% 59.98/10.38  % SZS status Theorem for theBenchmark.p
% 59.98/10.38  
% 59.98/10.38  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.98/10.38  
% 59.98/10.38  % ------  iProver source info
% 59.98/10.38  
% 59.98/10.38  % git: date: 2026-07-19 20:42:38 +0200
% 59.98/10.38  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.98/10.38  % git: non_committed_changes: false
% 59.98/10.38  
% 59.98/10.38  % ------ Parsing...
% 59.98/10.38  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 59.98/10.38  
% 59.98/10.38  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 59.98/10.38  
% 59.98/10.38  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 59.98/10.38  
% 59.98/10.38  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 59.98/10.38  % ------ Proving...
% 59.98/10.38  % ------ Problem Properties 
% 59.98/10.38  
% 59.98/10.38  % 
% 59.98/10.38  % clauses                               22
% 59.98/10.38  % conjectures                           1
% 59.98/10.38  % EPR                                   1
% 59.98/10.38  % Horn                                  22
% 59.98/10.38  % unary                                 18
% 59.98/10.38  % binary                                4
% 59.98/10.38  % lits                                  26
% 59.98/10.38  % lits eq                               17
% 59.98/10.38  % fd_pure                               0
% 59.98/10.38  % fd_pseudo                             0
% 59.98/10.38  % fd_cond                               0
% 59.98/10.38  % fd_pseudo_cond                        0
% 59.98/10.38  % AC symbols                            1
% 59.98/10.38  
% 59.98/10.38  % ------ Schedule dynamic 5 is on 
% 59.98/10.38  
% 59.98/10.38  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 59.98/10.38  
% 59.98/10.38  
% 59.98/10.38  % ------ 
% 59.98/10.38  % Current options:
% 59.98/10.38  % ------ 
% 59.98/10.38  
% 59.98/10.38  
% 59.98/10.38  % 
% 59.98/10.38  
% 59.98/10.38  % ------ Proving...
% 59.98/10.38  % 
% 59.98/10.38  
% 59.98/10.38  % SZS status Theorem for theBenchmark.p
% 59.98/10.38  
% 59.98/10.38  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.98/10.39  
% 59.98/10.39  
%------------------------------------------------------------------------------