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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KLE170+1.006 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n011.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 74.79s 12.87s
% Output   : CNFRefutation 74.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  111 ( 105 unt;   6 def)
%            Number of atoms       :  245 (  54 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   19 (  11   ~;   6   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  123 (   0 sgn 123   !;   0   ?;  83   :)

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

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

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).

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

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

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

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

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

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

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(f28,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

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(f40,plain,
    ~ leq(multiplication(a,multiplication(a,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_54,plain,
    ! [X0: $i] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f28]) ).

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_66,negated_conjecture,
    ~ leq(multiplication(a,multiplication(a,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 = multiplication(a,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_188,definition,
    iPr_def_14 = multiplication(a,iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_189,definition,
    iPr_def_15 = star(a),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_190,negated_conjecture,
    ~ leq(iPr_def_14,iPr_def_15),
    inference(demodulation,[status(thm)],[c_66,c_189,c_184,c_185,c_186,c_187,c_188]) ).

tcf(c_209123,plain,
    leq(addition(one,multiplication(a,iPr_def_15)),iPr_def_15),
    inference(superposition,[status(thm)],[c_189,c_62]) ).

tcf(c_209129,plain,
    leq(addition(one,multiplication(iPr_def_15,a)),iPr_def_15),
    inference(superposition,[status(thm)],[c_189,c_63]) ).

tcf(c_209184,plain,
    addition(addition(one,multiplication(a,iPr_def_15)),iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_209123,c_61]) ).

tcf(c_209186,plain,
    addition(addition(one,multiplication(iPr_def_15,a)),iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_209129,c_61]) ).

tcf(c_209187,plain,
    addition(iPr_def_15,addition(one,multiplication(iPr_def_15,a))) = iPr_def_15,
    inference(theory_normalisation,[status(thm)],[c_209186,c_50,c_49]) ).

tcf(c_209188,plain,
    addition(iPr_def_15,addition(one,multiplication(a,iPr_def_15))) = iPr_def_15,
    inference(theory_normalisation,[status(thm)],[c_209184,c_50,c_49]) ).

tcf(c_209199,plain,
    ! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(superposition,[status(thm)],[c_52,c_50]) ).

tcf(c_209306,plain,
    ! [X0: $i,X1: $i] : addition(X0,multiplication(X1,X0)) = multiplication(addition(one,X1),X0),
    inference(superposition,[status(thm)],[c_55,c_57]) ).

tcf(c_210878,plain,
    ! [X0: $i,X1: $i] : leq(X0,addition(X0,X1)),
    inference(superposition,[status(thm)],[c_209199,c_60]) ).

tcf(c_210915,plain,
    ! [X0: $i,X1: $i] : leq(X0,addition(X1,X0)),
    inference(superposition,[status(thm)],[c_49,c_210878]) ).

tcf(c_210920,plain,
    ! [X0: $i,X1: $i,X2: $i] : leq(multiplication(X0,X1),multiplication(X0,addition(X1,X2))),
    inference(superposition,[status(thm)],[c_56,c_210878]) ).

tcf(c_210932,plain,
    ! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X2,X0))),
    inference(superposition,[status(thm)],[c_50,c_210915]) ).

tcf(c_210950,plain,
    leq(multiplication(a,iPr_def_15),iPr_def_15),
    inference(superposition,[status(thm)],[c_209188,c_210932]) ).

tcf(c_210952,plain,
    ! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X0,X2))),
    inference(superposition,[status(thm)],[c_49,c_210932]) ).

tcf(c_210957,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : leq(multiplication(X0,X1),addition(X2,multiplication(X0,addition(X3,X1)))),
    inference(superposition,[status(thm)],[c_56,c_210932]) ).

tcf(c_210997,plain,
    leq(one,iPr_def_15),
    inference(superposition,[status(thm)],[c_209187,c_210952]) ).

tcf(c_211182,plain,
    addition(one,iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_210997,c_61]) ).

tcf(c_211183,plain,
    addition(iPr_def_15,one) = iPr_def_15,
    inference(theory_normalisation,[status(thm)],[c_211182,c_50,c_49]) ).

tcf(c_211186,plain,
    addition(multiplication(a,iPr_def_15),iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_210950,c_61]) ).

tcf(c_211187,plain,
    addition(iPr_def_15,multiplication(a,iPr_def_15)) = iPr_def_15,
    inference(theory_normalisation,[status(thm)],[c_211186,c_50,c_49]) ).

tcf(c_211207,plain,
    ! [X0: $i] : leq(one,addition(X0,iPr_def_15)),
    inference(superposition,[status(thm)],[c_211183,c_210932]) ).

tcf(c_211216,plain,
    ! [X0: $i] : leq(one,addition(iPr_def_15,X0)),
    inference(superposition,[status(thm)],[c_49,c_211207]) ).

tcf(c_211230,plain,
    ! [X0: $i] : addition(one,addition(iPr_def_15,X0)) = addition(iPr_def_15,X0),
    inference(superposition,[status(thm)],[c_211216,c_61]) ).

tcf(c_211231,plain,
    ! [X0: $i] : addition(iPr_def_15,addition(X0,one)) = addition(iPr_def_15,X0),
    inference(theory_normalisation,[status(thm)],[c_211230,c_50,c_49]) ).

tcf(c_211367,plain,
    multiplication(addition(a,one),iPr_def_15) = iPr_def_15,
    inference(demodulation,[status(thm)],[c_211187,c_49,c_209306]) ).

tcf(c_211518,plain,
    ! [X0: $i,X1: $i] : leq(X0,multiplication(X0,addition(one,X1))),
    inference(superposition,[status(thm)],[c_54,c_210920]) ).

tcf(c_211695,plain,
    ! [X0: $i,X1: $i] : leq(X0,multiplication(X0,addition(X1,one))),
    inference(superposition,[status(thm)],[c_49,c_211518]) ).

tcf(c_211761,plain,
    ! [X0: $i] : leq(X0,multiplication(X0,iPr_def_15)),
    inference(superposition,[status(thm)],[c_211183,c_211695]) ).

tcf(c_211825,plain,
    leq(addition(a,one),iPr_def_15),
    inference(superposition,[status(thm)],[c_211367,c_211761]) ).

tcf(c_211832,plain,
    addition(addition(a,one),iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_211825,c_61]) ).

tcf(c_211833,plain,
    addition(iPr_def_15,addition(a,one)) = iPr_def_15,
    inference(theory_normalisation,[status(thm)],[c_211832,c_50,c_49]) ).

tcf(c_212190,plain,
    addition(iPr_def_15,a) = iPr_def_15,
    inference(demodulation,[status(thm)],[c_211833,c_211231]) ).

tcf(c_229452,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_10,addition(X0,multiplication(a,addition(X1,a)))),
    inference(superposition,[status(thm)],[c_184,c_210957]) ).

tcf(c_229453,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_11,addition(X0,multiplication(a,addition(X1,iPr_def_10)))),
    inference(superposition,[status(thm)],[c_185,c_210957]) ).

tcf(c_229454,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_12,addition(X0,multiplication(a,addition(X1,iPr_def_11)))),
    inference(superposition,[status(thm)],[c_186,c_210957]) ).

tcf(c_229455,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_13,addition(X0,multiplication(a,addition(X1,iPr_def_12)))),
    inference(superposition,[status(thm)],[c_187,c_210957]) ).

tcf(c_229456,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_14,addition(X0,multiplication(a,addition(X1,iPr_def_13)))),
    inference(superposition,[status(thm)],[c_188,c_210957]) ).

tcf(c_229849,plain,
    ! [X0: $i] : leq(iPr_def_10,addition(X0,multiplication(a,iPr_def_15))),
    inference(superposition,[status(thm)],[c_212190,c_229452]) ).

tcf(c_229910,plain,
    ! [X0: $i] : leq(iPr_def_10,addition(multiplication(a,iPr_def_15),X0)),
    inference(superposition,[status(thm)],[c_49,c_229849]) ).

tcf(c_230084,plain,
    ! [X0: $i] : leq(iPr_def_10,multiplication(addition(a,X0),iPr_def_15)),
    inference(superposition,[status(thm)],[c_57,c_229910]) ).

tcf(c_230161,plain,
    leq(iPr_def_10,iPr_def_15),
    inference(superposition,[status(thm)],[c_211367,c_230084]) ).

tcf(c_230198,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_11,addition(X0,multiplication(a,addition(iPr_def_10,X1)))),
    inference(superposition,[status(thm)],[c_49,c_229453]) ).

tcf(c_230221,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_12,addition(X0,multiplication(a,addition(iPr_def_11,X1)))),
    inference(superposition,[status(thm)],[c_49,c_229454]) ).

tcf(c_230253,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_13,addition(X0,multiplication(a,addition(iPr_def_12,X1)))),
    inference(superposition,[status(thm)],[c_49,c_229455]) ).

tcf(c_230309,plain,
    ! [X0: $i,X1: $i] : leq(iPr_def_14,addition(X0,multiplication(a,addition(iPr_def_13,X1)))),
    inference(superposition,[status(thm)],[c_49,c_229456]) ).

tcf(c_230321,plain,
    addition(iPr_def_10,iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_230161,c_61]) ).

tcf(c_233317,plain,
    ! [X0: $i] : leq(iPr_def_11,addition(X0,multiplication(a,iPr_def_15))),
    inference(superposition,[status(thm)],[c_230321,c_230198]) ).

tcf(c_233403,plain,
    ! [X0: $i] : leq(iPr_def_11,addition(multiplication(a,iPr_def_15),X0)),
    inference(superposition,[status(thm)],[c_49,c_233317]) ).

tcf(c_233473,plain,
    ! [X0: $i] : leq(iPr_def_11,multiplication(addition(a,X0),iPr_def_15)),
    inference(superposition,[status(thm)],[c_57,c_233403]) ).

tcf(c_233496,plain,
    leq(iPr_def_11,iPr_def_15),
    inference(superposition,[status(thm)],[c_211367,c_233473]) ).

tcf(c_233506,plain,
    addition(iPr_def_11,iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_233496,c_61]) ).

tcf(c_233826,plain,
    ! [X0: $i] : leq(iPr_def_12,addition(X0,multiplication(a,iPr_def_15))),
    inference(superposition,[status(thm)],[c_233506,c_230221]) ).

tcf(c_234703,plain,
    ! [X0: $i] : leq(iPr_def_12,addition(multiplication(a,iPr_def_15),X0)),
    inference(superposition,[status(thm)],[c_49,c_233826]) ).

tcf(c_234886,plain,
    ! [X0: $i] : leq(iPr_def_12,multiplication(addition(a,X0),iPr_def_15)),
    inference(superposition,[status(thm)],[c_57,c_234703]) ).

tcf(c_235030,plain,
    leq(iPr_def_12,iPr_def_15),
    inference(superposition,[status(thm)],[c_211367,c_234886]) ).

tcf(c_235247,plain,
    addition(iPr_def_12,iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_235030,c_61]) ).

tcf(c_235388,plain,
    ! [X0: $i] : leq(iPr_def_13,addition(X0,multiplication(a,iPr_def_15))),
    inference(superposition,[status(thm)],[c_235247,c_230253]) ).

tcf(c_236455,plain,
    ! [X0: $i] : leq(iPr_def_13,addition(multiplication(a,iPr_def_15),X0)),
    inference(superposition,[status(thm)],[c_49,c_235388]) ).

tcf(c_236556,plain,
    ! [X0: $i] : leq(iPr_def_13,multiplication(addition(a,X0),iPr_def_15)),
    inference(superposition,[status(thm)],[c_57,c_236455]) ).

tcf(c_236702,plain,
    leq(iPr_def_13,iPr_def_15),
    inference(superposition,[status(thm)],[c_211367,c_236556]) ).

tcf(c_236816,plain,
    addition(iPr_def_13,iPr_def_15) = iPr_def_15,
    inference(superposition,[status(thm)],[c_236702,c_61]) ).

tcf(c_236967,plain,
    ! [X0: $i] : leq(iPr_def_14,addition(X0,multiplication(a,iPr_def_15))),
    inference(superposition,[status(thm)],[c_236816,c_230309]) ).

tcf(c_237749,plain,
    ! [X0: $i] : leq(iPr_def_14,addition(multiplication(a,iPr_def_15),X0)),
    inference(superposition,[status(thm)],[c_49,c_236967]) ).

tcf(c_237910,plain,
    ! [X0: $i] : leq(iPr_def_14,multiplication(addition(a,X0),iPr_def_15)),
    inference(superposition,[status(thm)],[c_57,c_237749]) ).

tcf(c_238247,plain,
    leq(iPr_def_14,iPr_def_15),
    inference(superposition,[status(thm)],[c_211367,c_237910]) ).

tcf(c_238255,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_238247,c_190]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KLE170+1.006 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n011.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Wed Sep 23 19:12:13 UTC 2026
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  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
% 0.13/0.40  
% 0.13/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40  
% 0.13/0.40  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 74.79/12.87  % SZS status Started for theBenchmark.p
% 74.79/12.87  ERROR - "ProverProcess:heur/445550:16.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( leq(zero,addition(one,one)) )")
% 74.79/12.87  Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( leq(zero,addition(one,one)) )")
% 74.79/12.87  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 1.6084091637003026 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red true --prep_gs_sim false --prep_res_sim true --prep_sem_filter neg --prep_sup_sim_all true --prep_sup_sim_sup true --prep_unflatten true --prep_upred false --preprocessing_flag true --prolific_symb_bound 32768 --prop_solver_per_cl 4096 --pure_diseq_elim false --res_backward_subs subset_subsumption --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution false --res_lit_sel adaptive --res_lit_sel_side num_var --res_ordering kbo --res_passive_queue_type stack --res_passive_queues "[[-num_lits;+conj_symb;-num_symb];[-num_lits;+min_def_symb]]" --res_passive_queues_freq "[1;3]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input false --res_time_limit 202.19 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl true --splitting_grd true --splitting_mode input --splitting_nvd 16 --stats_out none --sub_typing false --subs_bck_mult 1 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.9903106699302947 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 5.33" --time_out_real 16.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_wd6bz_lf/mpllb3kt 2>> /export/starexec/sandbox/tmp/iprover_out_wd6bz_lf/mpllb3kt_error
% 74.79/12.87  % SZS status Theorem for theBenchmark.p
% 74.79/12.87  
% 74.79/12.87  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 74.79/12.87  
% 74.79/12.87  % ------  iProver source info
% 74.79/12.87  
% 74.79/12.87  % git: date: 2026-07-19 20:42:38 +0200
% 74.79/12.87  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 74.79/12.87  % git: non_committed_changes: false
% 74.79/12.87  
% 74.79/12.87  % ------ Parsing...
% 74.79/12.87  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 74.79/12.87  
% 74.79/12.87  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 74.79/12.87  
% 74.79/12.87  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 74.79/12.87  
% 74.79/12.87  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 74.79/12.87  % ------ Proving...
% 74.79/12.87  % ------ Problem Properties 
% 74.79/12.87  
% 74.79/12.87  % 
% 74.79/12.87  % clauses                               24
% 74.79/12.87  % conjectures                           1
% 74.79/12.87  % EPR                                   1
% 74.79/12.87  % Horn                                  24
% 74.79/12.87  % unary                                 20
% 74.79/12.87  % binary                                4
% 74.79/12.87  % lits                                  28
% 74.79/12.87  % lits eq                               19
% 74.79/12.87  % fd_pure                               0
% 74.79/12.87  % fd_pseudo                             0
% 74.79/12.87  % fd_cond                               0
% 74.79/12.87  % fd_pseudo_cond                        0
% 74.79/12.87  % AC symbols                            1
% 74.79/12.87  
% 74.79/12.87  % ------ Schedule dynamic 5 is on 
% 74.79/12.87  
% 74.79/12.87  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 74.79/12.87  
% 74.79/12.87  
% 74.79/12.87  % ------ 
% 74.79/12.87  % Current options:
% 74.79/12.87  % ------ 
% 74.79/12.87  
% 74.79/12.87  
% 74.79/12.87  % 
% 74.79/12.87  
% 74.79/12.87  % ------ Proving...
% 74.79/12.87  % Proof_search_loop: time out after: 4416 full_loop iterations
% 74.79/12.87  
% 74.79/12.87  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 74.79/12.87  
% 74.79/12.87  
% 74.79/12.87  % ------ 
% 74.79/12.87  % Current options:
% 74.79/12.87  % ------ 
% 74.79/12.87  
% 74.79/12.87  
% 74.79/12.87  % 
% 74.79/12.87  
% 74.79/12.87  % ------ Proving...
% 74.79/12.87  % 
% 74.79/12.87  
% 74.79/12.87  % SZS status Theorem for theBenchmark.p
% 74.79/12.87  
% 74.79/12.87  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 74.79/12.87  
% 74.79/12.87  
%------------------------------------------------------------------------------