TSTP Solution File: KLE044+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KLE044+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:32:45 EDT 2024

% Result   : Theorem 24.45s 4.17s
% Output   : CNFRefutation 24.71s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',left_distributivity) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).

fof(f13,axiom,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( leq(addition(multiplication(X0,X1),X2),X1)
     => leq(multiplication(star(X0),X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_left) ).

fof(f17,conjecture,
    ! [X3] : star(addition(one,X3)) = star(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X3] : star(addition(one,X3)) = star(X3),
    inference(negated_conjecture,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f20,plain,
    ~ ! [X0] : star(X0) = star(addition(one,X0)),
    inference(rectify,[],[f18]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( leq(multiplication(star(X0),X2),X1)
      | ~ leq(addition(multiplication(X0,X1),X2),X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f23,plain,
    ? [X0] : star(X0) != star(addition(one,X0)),
    inference(ennf_transformation,[],[f20]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | addition(X0,X1) != X1 )
      & ( addition(X0,X1) = X1
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f25,plain,
    ( ? [X0] : star(X0) != star(addition(one,X0))
   => star(sK0) != star(addition(one,sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    star(sK0) != star(addition(one,sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f25]) ).

fof(f27,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f28,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f19]) ).

fof(f30,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f32,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f34,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f35,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( addition(X0,X1) = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f40,plain,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( leq(multiplication(star(X0),X2),X1)
      | ~ leq(addition(multiplication(X0,X1),X2),X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f44,plain,
    star(sK0) != star(addition(one,sK0)),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_49,plain,
    addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_50,plain,
    addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_52,plain,
    addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f30]) ).

cnf(c_54,plain,
    multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f32]) ).

cnf(c_55,plain,
    multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f33]) ).

cnf(c_56,plain,
    addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_57,plain,
    addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_60,plain,
    ( addition(X0,X1) != X1
    | leq(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_61,plain,
    ( ~ leq(X0,X1)
    | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_62,plain,
    leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_64,plain,
    ( ~ leq(addition(multiplication(X0,X1),X2),X1)
    | leq(multiplication(star(X0),X2),X1) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_66,negated_conjecture,
    star(addition(one,sK0)) != star(sK0),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_183,plain,
    addition(one,sK0) = sP0_iProver_def,
    definition ).

cnf(c_184,plain,
    star(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_185,plain,
    star(sK0) = sP2_iProver_def,
    definition ).

cnf(c_186,negated_conjecture,
    sP1_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_66,c_185,c_183,c_184]) ).

cnf(c_1093,plain,
    leq(X0,X0),
    inference(superposition,[status(thm)],[c_52,c_60]) ).

cnf(c_11689,plain,
    addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(superposition,[status(thm)],[c_52,c_50]) ).

cnf(c_11692,plain,
    addition(one,addition(sK0,X0)) = addition(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_183,c_50]) ).

cnf(c_11766,plain,
    addition(addition(one,multiplication(X0,star(X0))),star(X0)) = star(X0),
    inference(superposition,[status(thm)],[c_62,c_61]) ).

cnf(c_11777,plain,
    addition(one,addition(star(X0),multiplication(X0,star(X0)))) = star(X0),
    inference(theory_normalisation,[status(thm)],[c_11766,c_50,c_49]) ).

cnf(c_11795,plain,
    addition(multiplication(X0,one),multiplication(X0,sK0)) = multiplication(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_183,c_56]) ).

cnf(c_11811,plain,
    addition(X0,multiplication(X0,sK0)) = multiplication(X0,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_11795,c_54]) ).

cnf(c_11844,plain,
    addition(one,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_183,c_11689]) ).

cnf(c_11848,plain,
    leq(X0,addition(X0,X1)),
    inference(superposition,[status(thm)],[c_11689,c_60]) ).

cnf(c_11853,plain,
    addition(sP0_iProver_def,one) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_11844,c_50,c_49]) ).

cnf(c_11861,plain,
    leq(X0,addition(X1,X0)),
    inference(superposition,[status(thm)],[c_49,c_11848]) ).

cnf(c_11878,plain,
    leq(X0,addition(X1,addition(X2,X0))),
    inference(superposition,[status(thm)],[c_50,c_11861]) ).

cnf(c_11897,plain,
    addition(multiplication(one,X0),multiplication(sK0,X0)) = multiplication(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_183,c_57]) ).

cnf(c_11915,plain,
    addition(X0,multiplication(sK0,X0)) = multiplication(sP0_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_11897,c_55]) ).

cnf(c_11925,plain,
    ( ~ leq(addition(X0,multiplication(X1,X2)),X2)
    | leq(multiplication(star(X1),X0),X2) ),
    inference(superposition,[status(thm)],[c_49,c_64]) ).

cnf(c_11928,plain,
    ( ~ leq(multiplication(X0,X1),X1)
    | leq(multiplication(star(X0),multiplication(X0,X1)),X1) ),
    inference(superposition,[status(thm)],[c_52,c_64]) ).

cnf(c_12034,plain,
    addition(multiplication(X0,sP0_iProver_def),multiplication(X0,one)) = multiplication(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_11853,c_56]) ).

cnf(c_12035,plain,
    addition(multiplication(sP0_iProver_def,X0),multiplication(one,X0)) = multiplication(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_11853,c_57]) ).

cnf(c_12039,plain,
    addition(multiplication(sP0_iProver_def,X0),X0) = multiplication(sP0_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_12035,c_55]) ).

cnf(c_12040,plain,
    addition(X0,multiplication(sP0_iProver_def,X0)) = multiplication(sP0_iProver_def,X0),
    inference(theory_normalisation,[status(thm)],[c_12039,c_50,c_49]) ).

cnf(c_12041,plain,
    addition(multiplication(X0,sP0_iProver_def),X0) = multiplication(X0,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_12034,c_54]) ).

cnf(c_12042,plain,
    addition(X0,multiplication(X0,sP0_iProver_def)) = multiplication(X0,sP0_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_12041,c_50,c_49]) ).

cnf(c_12051,plain,
    leq(X0,addition(X1,addition(X0,X2))),
    inference(superposition,[status(thm)],[c_49,c_11878]) ).

cnf(c_14589,plain,
    addition(one,star(X0)) = star(X0),
    inference(superposition,[status(thm)],[c_11777,c_11689]) ).

cnf(c_14600,plain,
    leq(one,addition(X0,star(X1))),
    inference(superposition,[status(thm)],[c_11777,c_12051]) ).

cnf(c_14613,plain,
    leq(multiplication(X0,star(X0)),star(X0)),
    inference(superposition,[status(thm)],[c_11777,c_11878]) ).

cnf(c_15765,plain,
    leq(one,addition(X0,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_184,c_14600]) ).

cnf(c_15976,plain,
    addition(one,sP2_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_185,c_14589]) ).

cnf(c_15977,plain,
    addition(one,sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_184,c_14589]) ).

cnf(c_16001,plain,
    addition(sP1_iProver_def,one) = sP1_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_15977,c_50,c_49]) ).

cnf(c_16002,plain,
    addition(sP2_iProver_def,one) = sP2_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_15976,c_50,c_49]) ).

cnf(c_16606,plain,
    addition(one,addition(X0,sP1_iProver_def)) = addition(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_15765,c_61]) ).

cnf(c_16607,plain,
    addition(sP1_iProver_def,addition(X0,one)) = addition(X0,sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_16606,c_50,c_49]) ).

cnf(c_16641,plain,
    leq(addition(X0,one),addition(X0,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_16607,c_11861]) ).

cnf(c_17910,plain,
    addition(multiplication(X0,sP1_iProver_def),multiplication(X0,one)) = multiplication(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_16001,c_56]) ).

cnf(c_17913,plain,
    addition(multiplication(sP1_iProver_def,X0),multiplication(one,X0)) = multiplication(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_16001,c_57]) ).

cnf(c_17937,plain,
    addition(multiplication(sP1_iProver_def,X0),X0) = multiplication(sP1_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_17913,c_55]) ).

cnf(c_17938,plain,
    addition(X0,multiplication(sP1_iProver_def,X0)) = multiplication(sP1_iProver_def,X0),
    inference(theory_normalisation,[status(thm)],[c_17937,c_50,c_49]) ).

cnf(c_17939,plain,
    addition(multiplication(X0,sP1_iProver_def),X0) = multiplication(X0,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_17910,c_54]) ).

cnf(c_17940,plain,
    addition(X0,multiplication(X0,sP1_iProver_def)) = multiplication(X0,sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_17939,c_50,c_49]) ).

cnf(c_18079,plain,
    addition(multiplication(X0,sP2_iProver_def),multiplication(X0,one)) = multiplication(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_16002,c_56]) ).

cnf(c_18109,plain,
    addition(multiplication(X0,sP2_iProver_def),X0) = multiplication(X0,sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_18079,c_54]) ).

cnf(c_18110,plain,
    addition(X0,multiplication(X0,sP2_iProver_def)) = multiplication(X0,sP2_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_18109,c_50,c_49]) ).

cnf(c_19094,plain,
    leq(multiplication(sK0,sP2_iProver_def),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_185,c_14613]) ).

cnf(c_19095,plain,
    leq(multiplication(sP0_iProver_def,sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_184,c_14613]) ).

cnf(c_19098,plain,
    addition(multiplication(sK0,sP2_iProver_def),sP2_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_19094,c_61]) ).

cnf(c_19099,plain,
    addition(sP2_iProver_def,multiplication(sK0,sP2_iProver_def)) = sP2_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_19098,c_50,c_49]) ).

cnf(c_19242,plain,
    addition(multiplication(sP0_iProver_def,sP1_iProver_def),sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_19095,c_61]) ).

cnf(c_19243,plain,
    addition(sP1_iProver_def,multiplication(sP0_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_19242,c_50,c_49]) ).

cnf(c_19252,plain,
    leq(addition(X0,one),addition(sP1_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_49,c_16641]) ).

cnf(c_20678,plain,
    multiplication(sP0_iProver_def,sP2_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_19099,c_11915]) ).

cnf(c_21709,plain,
    multiplication(sP0_iProver_def,sP1_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_19243,c_12040]) ).

cnf(c_26569,plain,
    leq(addition(multiplication(sK0,sP1_iProver_def),one),multiplication(sP0_iProver_def,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_11915,c_19252]) ).

cnf(c_26592,plain,
    leq(addition(one,multiplication(sK0,sP1_iProver_def)),multiplication(sP0_iProver_def,sP1_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_26569,c_50,c_49]) ).

cnf(c_26593,plain,
    leq(addition(one,multiplication(sK0,sP1_iProver_def)),sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_26592,c_21709]) ).

cnf(c_41057,plain,
    addition(one,multiplication(sK0,sP1_iProver_def)) = addition(sP0_iProver_def,multiplication(sK0,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_17940,c_11692]) ).

cnf(c_71352,plain,
    ( ~ leq(multiplication(sP0_iProver_def,sP2_iProver_def),sP2_iProver_def)
    | leq(multiplication(star(sP0_iProver_def),sP2_iProver_def),sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_20678,c_11928]) ).

cnf(c_71354,plain,
    ( ~ leq(sP2_iProver_def,sP2_iProver_def)
    | leq(multiplication(sP1_iProver_def,sP2_iProver_def),sP2_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_71352,c_184,c_20678]) ).

cnf(c_71355,plain,
    leq(multiplication(sP1_iProver_def,sP2_iProver_def),sP2_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_71354,c_1093]) ).

cnf(c_71858,plain,
    addition(multiplication(sP1_iProver_def,sP2_iProver_def),sP2_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_71355,c_61]) ).

cnf(c_71859,plain,
    addition(sP2_iProver_def,multiplication(sP1_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_71858,c_50,c_49]) ).

cnf(c_74962,plain,
    leq(addition(sP0_iProver_def,multiplication(sK0,sP1_iProver_def)),sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_26593,c_41057]) ).

cnf(c_74964,plain,
    leq(multiplication(star(sK0),sP0_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_74962,c_11925]) ).

cnf(c_74965,plain,
    leq(multiplication(sP2_iProver_def,sP0_iProver_def),sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_74964,c_185]) ).

cnf(c_74976,plain,
    addition(multiplication(sP2_iProver_def,sP0_iProver_def),sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_74965,c_61]) ).

cnf(c_74977,plain,
    addition(sP1_iProver_def,multiplication(sP2_iProver_def,sP0_iProver_def)) = sP1_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_74976,c_50,c_49]) ).

cnf(c_75571,plain,
    multiplication(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_71859,c_17938]) ).

cnf(c_75587,plain,
    addition(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_75571,c_18110]) ).

cnf(c_81621,plain,
    leq(sP1_iProver_def,addition(X0,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_75587,c_12051]) ).

cnf(c_82998,plain,
    leq(sP1_iProver_def,addition(sP2_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_49,c_81621]) ).

cnf(c_83013,plain,
    leq(sP1_iProver_def,multiplication(sP2_iProver_def,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_11811,c_82998]) ).

cnf(c_83028,plain,
    addition(sP1_iProver_def,multiplication(sP2_iProver_def,sP0_iProver_def)) = multiplication(sP2_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_83013,c_61]) ).

cnf(c_83029,plain,
    multiplication(sP2_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_83028,c_74977]) ).

cnf(c_83076,plain,
    addition(sP2_iProver_def,sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_83029,c_12042]) ).

cnf(c_83086,plain,
    addition(sP1_iProver_def,sP2_iProver_def) = sP1_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_83076,c_50,c_49]) ).

cnf(c_83087,plain,
    sP1_iProver_def = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_83086,c_75587]) ).

cnf(c_83088,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_83087,c_186]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : KLE044+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May  3 00:41:03 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.45/4.17  % SZS status Started for theBenchmark.p
% 24.45/4.17  % SZS status Theorem for theBenchmark.p
% 24.45/4.17  
% 24.45/4.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.45/4.17  
% 24.45/4.17  ------  iProver source info
% 24.45/4.17  
% 24.45/4.17  git: date: 2024-05-02 19:28:25 +0000
% 24.45/4.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.45/4.17  git: non_committed_changes: false
% 24.45/4.17  
% 24.45/4.17  ------ Parsing...
% 24.45/4.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 24.45/4.17  
% 24.45/4.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 24.45/4.17  
% 24.45/4.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 24.45/4.17  
% 24.45/4.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 24.45/4.17  ------ Proving...
% 24.45/4.17  ------ Problem Properties 
% 24.45/4.17  
% 24.45/4.17  
% 24.45/4.17  clauses                                 21
% 24.45/4.17  conjectures                             1
% 24.45/4.17  EPR                                     1
% 24.45/4.17  Horn                                    21
% 24.45/4.17  unary                                   17
% 24.45/4.17  binary                                  4
% 24.45/4.17  lits                                    25
% 24.45/4.17  lits eq                                 17
% 24.45/4.17  fd_pure                                 0
% 24.45/4.17  fd_pseudo                               0
% 24.45/4.17  fd_cond                                 0
% 24.45/4.17  fd_pseudo_cond                          0
% 24.45/4.17  AC symbols                              1
% 24.45/4.17  
% 24.45/4.17  ------ Schedule dynamic 5 is on 
% 24.45/4.17  
% 24.45/4.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.45/4.17  
% 24.45/4.17  
% 24.45/4.17  ------ 
% 24.45/4.17  Current options:
% 24.45/4.17  ------ 
% 24.45/4.17  
% 24.45/4.17  
% 24.45/4.17  
% 24.45/4.17  
% 24.45/4.17  ------ Proving...
% 24.45/4.17  
% 24.45/4.17  
% 24.45/4.17  % SZS status Theorem for theBenchmark.p
% 24.45/4.17  
% 24.45/4.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.71/4.17  
% 24.71/4.18  
%------------------------------------------------------------------------------