↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM926+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n026.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 02:27:20 PM UTC 2026

% Result   : Theorem 3.76s 1.29s
% Output   : CNFRefutation 3.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   75 (  39 unt;   0 def)
%            Number of atoms       :  120 (  57 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   93 (  48   ~;  37   |;   3   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-2 aty)
%            Number of variables   :  122 (   0 sgn 110   !;  12   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ord_less_eq_int(one_one_int,t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).

fof(f2,axiom,
    ( t = one_one_int
   => ? [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

fof(f3,axiom,
    ( ord_less_int(one_one_int,t)
   => ? [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ord_less_int(X1,X0)
      | X0 = X1
      | ord_less_int(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_zless__linear) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
    <=> ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_le__number__of__eq__not__less) ).

fof(f59,axiom,
    ! [X0,X1] :
      ( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
    <=> ord_less_int(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_less__number__of__int__code) ).

fof(f60,axiom,
    ! [X0,X1] :
      ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
    <=> ord_less_eq_int(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_less__eq__number__of__int__code) ).

fof(f85,axiom,
    ! [X0,X1,X2] : times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).

fof(f86,axiom,
    ! [X0,X1,X2] : times_times_nat(times_times_nat(X0,X1),X2) = times_times_nat(X0,times_times_nat(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).

fof(f91,axiom,
    ! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

fof(f92,axiom,
    ! [X0,X1] : times_times_nat(X0,X1) = times_times_nat(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

fof(f97,axiom,
    ! [X0,X1,X2] : plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).

fof(f98,axiom,
    ! [X0,X1,X2] : plus_plus_nat(plus_plus_nat(X0,X1),X2) = plus_plus_nat(X0,plus_plus_nat(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).

fof(f103,axiom,
    ! [X0,X1] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

fof(f104,axiom,
    ! [X0,X1] : plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

fof(f124,conjecture,
    ? [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f125,negated_conjecture,
    ~ ? [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
    inference(negated_conjecture,[status(cth)],[f124]) ).

fof(f128,plain,
    ( one_one_int != t
    | ? [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f129,plain,
    ( ~ ord_less_int(one_one_int,t)
    | ? [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f143,plain,
    ! [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
    inference(ennf_transformation,[],[f125]) ).

fof(f144,plain,
    ( one_one_int != t
    | plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f128]) ).

fof(f145,plain,
    ( ~ ord_less_int(one_one_int,t)
    | plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f129]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ( ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
        | ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) )
      & ( ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
        | ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ( ~ ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
        | ord_less_int(X0,X1) )
      & ( ~ ord_less_int(X0,X1)
        | ord_less_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ( ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
        | ord_less_eq_int(X0,X1) )
      & ( ~ ord_less_eq_int(X0,X1)
        | ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f184,plain,
    ord_less_eq_int(one_one_int,t),
    inference(cnf_transformation,[],[f1]) ).

fof(f185,plain,
    ( one_one_int != t
    | plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f186,plain,
    ( ~ ord_less_int(one_one_int,t)
    | plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( ord_less_int(X1,X0)
      | X0 = X1
      | ord_less_int(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
      | ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ~ ord_less_int(X0,X1)
      | ord_less_int(number_number_of_int(X0),number_number_of_int(X1)) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( ~ ord_less_eq_int(X0,X1)
      | ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f292,plain,
    ! [X2,X0,X1] : times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)),
    inference(cnf_transformation,[],[f85]) ).

fof(f293,plain,
    ! [X2,X0,X1] : times_times_nat(times_times_nat(X0,X1),X2) = times_times_nat(X0,times_times_nat(X1,X2)),
    inference(cnf_transformation,[],[f86]) ).

fof(f298,plain,
    ! [X0,X1] : times_times_int(X1,X0) = times_times_int(X0,X1),
    inference(cnf_transformation,[],[f91]) ).

fof(f299,plain,
    ! [X0,X1] : times_times_nat(X0,X1) = times_times_nat(X1,X0),
    inference(cnf_transformation,[],[f92]) ).

fof(f304,plain,
    ! [X2,X0,X1] : plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)),
    inference(cnf_transformation,[],[f97]) ).

fof(f305,plain,
    ! [X2,X0,X1] : plus_plus_nat(plus_plus_nat(X0,X1),X2) = plus_plus_nat(X0,plus_plus_nat(X1,X2)),
    inference(cnf_transformation,[],[f98]) ).

fof(f310,plain,
    ! [X0,X1] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
    inference(cnf_transformation,[],[f103]) ).

fof(f311,plain,
    ! [X0,X1] : plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0),
    inference(cnf_transformation,[],[f104]) ).

fof(f344,plain,
    ! [X0,X1] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_49,plain,
    ord_less_eq_int(one_one_int,t),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_50,plain,
    ( ( plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
    | ( one_one_int != t ) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_51,plain,
    ( ( plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
    | ~ ord_less_int(one_one_int,t) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i] :
      ( ord_less_int(X1,X0)
      | ord_less_int(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
      | ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i] :
      ( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
      | ~ ord_less_int(X0,X1) ),
    inference(cnf_transformation,[],[f256]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i] :
      ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
      | ~ ord_less_eq_int(X0,X1) ),
    inference(cnf_transformation,[],[f258]) ).

tcf(c_157,plain,
    ! [X0: $i,X1: $i,X2: $i] : times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)),
    inference(cnf_transformation,[],[f292]) ).

tcf(c_158,plain,
    ! [X0: $i,X1: $i,X2: $i] : times_times_nat(times_times_nat(X0,X1),X2) = times_times_nat(X0,times_times_nat(X1,X2)),
    inference(cnf_transformation,[],[f293]) ).

tcf(c_163,plain,
    ! [X0: $i,X1: $i] : times_times_int(X0,X1) = times_times_int(X1,X0),
    inference(cnf_transformation,[],[f298]) ).

tcf(c_164,plain,
    ! [X0: $i,X1: $i] : times_times_nat(X0,X1) = times_times_nat(X1,X0),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_169,plain,
    ! [X0: $i,X1: $i,X2: $i] : plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)),
    inference(cnf_transformation,[],[f304]) ).

tcf(c_170,plain,
    ! [X0: $i,X1: $i,X2: $i] : plus_plus_nat(plus_plus_nat(X0,X1),X2) = plus_plus_nat(X0,plus_plus_nat(X1,X2)),
    inference(cnf_transformation,[],[f305]) ).

tcf(c_175,plain,
    ! [X0: $i,X1: $i] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
    inference(cnf_transformation,[],[f310]) ).

tcf(c_176,plain,
    ! [X0: $i,X1: $i] : plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0),
    inference(cnf_transformation,[],[f311]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),
    inference(cnf_transformation,[],[f344]) ).

tcf(c_281,plain,
    ( ( plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))) )
    | ( one_one_int != t ) ),
    inference(theory_normalisation,[status(thm)],[c_50,c_158,c_164,c_170,c_176,c_169,c_175,c_157,c_163]) ).

tcf(c_282,plain,
    ( ( plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))) )
    | ~ ord_less_int(one_one_int,t) ),
    inference(theory_normalisation,[status(thm)],[c_51,c_158,c_164,c_170,c_176,c_169,c_175,c_157,c_163]) ).

tcf(c_292,negated_conjecture,
    ! [X0: $i,X1: $i] : plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))),
    inference(theory_normalisation,[status(thm)],[c_202,c_158,c_164,c_170,c_176,c_169,c_175,c_157,c_163]) ).

tcf(c_301,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
      | ~ ord_less_eq_int(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_122,c_90]) ).

tcf(c_302,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ord_less_eq_int(X1,X0)
      | ~ ord_less_int(number_number_of_int(X0),number_number_of_int(X1)) ),
    inference(renaming,[status(thm)],[c_301]) ).

tcf(c_307,plain,
    ! [X0: $i,X1: $i] :
      ( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
      | ~ ord_less_int(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_120]) ).

tcf(c_373,plain,
    ( ( plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))) )
    | ( one_one_int != t ) ),
    inference(prop_impl_just,[status(thm)],[c_281]) ).

tcf(c_375,plain,
    ( ( plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(bit1(pls)))))) )
    | ~ ord_less_int(one_one_int,t) ),
    inference(prop_impl_just,[status(thm)],[c_282]) ).

tcf(c_571,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ord_less_int(X1,X0)
      | ~ ord_less_eq_int(X0,X1) ),
    inference(bin_hyper_res,[status(thm)],[c_302,c_307]) ).

tcf(c_652,plain,
    one_one_int != t,
    inference(backward_subsumption_resolution,[status(thm)],[c_373,c_292]) ).

tcf(c_653,plain,
    ~ ord_less_int(one_one_int,t),
    inference(backward_subsumption_resolution,[status(thm)],[c_375,c_292]) ).

tcf(c_2617,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ord_less_eq_int(X0,X1)
      | ~ ord_less_int(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_571]) ).

tcf(c_2618,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ord_less_int(X1,X0)
      | ~ ord_less_eq_int(X0,X1) ),
    inference(renaming,[status(thm)],[c_2617]) ).

tcf(c_3321,plain,
    ~ ord_less_int(one_one_int,t),
    inference(demodulation,[status(thm)],[c_653]) ).

tcf(c_3322,plain,
    one_one_int != t,
    inference(demodulation,[status(thm)],[c_652]) ).

tcf(c_4795,plain,
    ~ ord_less_int(t,one_one_int),
    inference(superposition,[status(thm)],[c_49,c_2618]) ).

tcf(c_5225,plain,
    ( ord_less_int(one_one_int,t)
    | ( one_one_int = t ) ),
    inference(superposition,[status(thm)],[c_79,c_4795]) ).

tcf(c_5238,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5225,c_3321,c_3322]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM926+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n026.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
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 05:46:39 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  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
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.43  % Proving...
% 3.76/1.29  % SZS status Started for theBenchmark.p
% 3.76/1.29  % SZS status Theorem for theBenchmark.p
% 3.76/1.29  
% 3.76/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.76/1.29  
% 3.76/1.29  % ------  iProver source info
% 3.76/1.29  
% 3.76/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 3.76/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.76/1.29  % git: non_committed_changes: false
% 3.76/1.29  
% 3.76/1.29  % ------ Parsing...
% 3.76/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.76/1.29  
% 3.76/1.29  % ------ Preprocessing... sup_sim: 30  sf_s  rm: 8 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 3.76/1.29  
% 3.76/1.29  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.76/1.29  
% 3.76/1.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.76/1.29  % ------ Proving...
% 3.76/1.29  % ------ Problem Properties 
% 3.76/1.29  
% 3.76/1.29  % 
% 3.76/1.29  % clauses                               91
% 3.76/1.29  % conjectures                           0
% 3.76/1.29  % EPR                                   10
% 3.76/1.29  % Horn                                  79
% 3.76/1.29  % unary                                 46
% 3.76/1.29  % binary                                40
% 3.76/1.29  % lits                                  141
% 3.76/1.29  % lits eq                               49
% 3.76/1.29  % fd_pure                               0
% 3.76/1.29  % fd_pseudo                             0
% 3.76/1.29  % fd_cond                               0
% 3.76/1.29  % fd_pseudo_cond                        3
% 3.76/1.29  % AC symbols                            4
% 3.76/1.29  
% 3.76/1.29  % ------ Schedule dynamic 5 is on 
% 3.76/1.29  
% 3.76/1.29  % ------ no conjectures: strip conj schedule 
% 3.76/1.29  
% 3.76/1.29  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.76/1.29  
% 3.76/1.29  
% 3.76/1.29  % ------ 
% 3.76/1.29  % Current options:
% 3.76/1.29  % ------ 
% 3.76/1.29  
% 3.76/1.29  
% 3.76/1.29  % 
% 3.76/1.29  
% 3.76/1.29  % ------ Proving...
% 3.76/1.29  % 
% 3.76/1.29  
% 3.76/1.29  % SZS status Theorem for theBenchmark.p
% 3.76/1.29  
% 3.76/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.29  
% 3.76/1.29  
%------------------------------------------------------------------------------