TSTP Solution File: NUM926+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM926+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 : Tue Apr 30 20:36:08 EDT 2024
% Result : Theorem 2.09s 0.74s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 79 ( 31 unt; 0 def)
% Number of atoms : 158 ( 55 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 136 ( 57 ~; 49 |; 17 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-2 aty)
% Number of variables : 42 ( 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,hypothesis,
is_int(one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
is_int(zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [B_1_1] :
( is_int(B_1_1)
=> is_int(bit1(B_1_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
is_int(t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( t = one_one_int
=> ? [X,Y] :
( is_int(X)
& is_int(Y)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
=> ? [X,Y] :
( is_int(X)
& is_int(Y)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [Z_1,W_1] :
( ( is_int(Z_1)
& is_int(W_1) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))
<=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),W_1))
& Z_1 != W_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f170,axiom,
! [K_1] :
( is_int(K_1)
=> number_number_of_int(K_1) = K_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f286,axiom,
number_number_of_int(bit1(pls)) = one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f384,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1230,conjecture,
? [X,Y] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1231,negated_conjecture,
~ ? [X,Y] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(negated_conjecture,[status(cth)],[f1230]) ).
fof(f1232,plain,
is_int(one_one_int),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f1233,plain,
is_int(zero_zero_int),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f1241,plain,
! [B_1_1] :
( ~ is_int(B_1_1)
| is_int(bit1(B_1_1)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f1242,plain,
! [X0] :
( ~ is_int(X0)
| is_int(bit1(X0)) ),
inference(cnf_transformation,[status(esa)],[f1241]) ).
fof(f1272,plain,
is_int(t),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f1273,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f1274,plain,
( t != one_one_int
| ? [X,Y] :
( is_int(X)
& is_int(Y)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f1275,plain,
( t != one_one_int
| ( is_int(sk0_0)
& is_int(sk0_1)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
inference(skolemization,[status(esa)],[f1274]) ).
fof(f1278,plain,
( t != one_one_int
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ),
inference(cnf_transformation,[status(esa)],[f1275]) ).
fof(f1279,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| ? [X,Y] :
( is_int(X)
& is_int(Y)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f1280,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| ( is_int(sk0_2)
& is_int(sk0_3)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
inference(skolemization,[status(esa)],[f1279]) ).
fof(f1283,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ),
inference(cnf_transformation,[status(esa)],[f1280]) ).
fof(f1321,plain,
! [Z_1,W_1] :
( ~ is_int(Z_1)
| ~ is_int(W_1)
| ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))
<=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),W_1))
& Z_1 != W_1 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f63]) ).
fof(f1322,plain,
! [Z_1,W_1] :
( ~ is_int(Z_1)
| ~ is_int(W_1)
| ( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))
| ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),W_1))
& Z_1 != W_1 ) )
& ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),W_1))
| Z_1 = W_1 ) ) ),
inference(NNF_transformation,[status(esa)],[f1321]) ).
fof(f1325,plain,
! [X0,X1] :
( ~ is_int(X0)
| ~ is_int(X1)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1))
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f1322]) ).
fof(f1550,plain,
! [K_1] :
( ~ is_int(K_1)
| number_number_of_int(K_1) = K_1 ),
inference(pre_NNF_transformation,[status(esa)],[f170]) ).
fof(f1551,plain,
! [X0] :
( ~ is_int(X0)
| number_number_of_int(X0) = X0 ),
inference(cnf_transformation,[status(esa)],[f1550]) ).
fof(f1777,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f2002,plain,
pls = zero_zero_int,
inference(cnf_transformation,[status(esa)],[f384]) ).
fof(f4442,plain,
! [X,Y] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(pre_NNF_transformation,[status(esa)],[f1231]) ).
fof(f4443,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(cnf_transformation,[status(esa)],[f4442]) ).
fof(f4483,plain,
( spl0_0
<=> t = one_one_int ),
introduced(split_symbol_definition) ).
fof(f4494,plain,
( spl0_3
<=> hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ),
introduced(split_symbol_definition) ).
fof(f4495,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f4494]) ).
fof(f4497,plain,
( ~ spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f1278,f4483,f4494]) ).
fof(f4498,plain,
( spl0_4
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
introduced(split_symbol_definition) ).
fof(f4509,plain,
( spl0_7
<=> hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ),
introduced(split_symbol_definition) ).
fof(f4510,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f4509]) ).
fof(f4512,plain,
( ~ spl0_4
| spl0_7 ),
inference(split_clause,[status(thm)],[f1283,f4498,f4509]) ).
fof(f4672,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int),
inference(backward_demodulation,[status(thm)],[f2002,f4443]) ).
fof(f4673,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int),
inference(forward_demodulation,[status(thm)],[f2002,f4672]) ).
fof(f4674,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(zero_zero_int))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int),
inference(forward_demodulation,[status(thm)],[f2002,f4673]) ).
fof(f5078,plain,
is_int(bit1(zero_zero_int)),
inference(resolution,[status(thm)],[f1242,f1233]) ).
fof(f5386,plain,
number_number_of_int(bit1(zero_zero_int)) = one_one_int,
inference(forward_demodulation,[status(thm)],[f2002,f1777]) ).
fof(f5616,plain,
number_number_of_int(bit1(zero_zero_int)) = bit1(zero_zero_int),
inference(resolution,[status(thm)],[f5078,f1551]) ).
fof(f5617,plain,
one_one_int = bit1(zero_zero_int),
inference(forward_demodulation,[status(thm)],[f5386,f5616]) ).
fof(f5691,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(zero_zero_int))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)),one_one_int),
inference(backward_demodulation,[status(thm)],[f5617,f4674]) ).
fof(f5692,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(zero_zero_int))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)),one_one_int),
inference(forward_demodulation,[status(thm)],[f5617,f5691]) ).
fof(f5693,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(one_one_int)))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)),one_one_int),
inference(forward_demodulation,[status(thm)],[f5617,f5692]) ).
fof(f9773,plain,
( spl0_12
<=> is_int(t) ),
introduced(split_symbol_definition) ).
fof(f9775,plain,
( ~ is_int(t)
| spl0_12 ),
inference(component_clause,[status(thm)],[f9773]) ).
fof(f9787,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f9775,f1272]) ).
fof(f9788,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f9787]) ).
fof(f10452,plain,
( spl0_122
<=> is_int(one_one_int) ),
introduced(split_symbol_definition) ).
fof(f10454,plain,
( ~ is_int(one_one_int)
| spl0_122 ),
inference(component_clause,[status(thm)],[f10452]) ).
fof(f10455,plain,
( ~ is_int(one_one_int)
| ~ is_int(t)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| one_one_int = t ),
inference(resolution,[status(thm)],[f1325,f1273]) ).
fof(f10456,plain,
( ~ spl0_122
| ~ spl0_12
| spl0_4
| spl0_0 ),
inference(split_clause,[status(thm)],[f10455,f10452,f9773,f4498,f4483]) ).
fof(f10459,plain,
( $false
| spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f10454,f1232]) ).
fof(f10460,plain,
spl0_122,
inference(contradiction_clause,[status(thm)],[f10459]) ).
fof(f10461,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(bit1(zero_zero_int))))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f2002,f4510]) ).
fof(f10462,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f5617,f10461]) ).
fof(f10463,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(bit1(zero_zero_int))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f2002,f10462]) ).
fof(f10464,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(one_one_int)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f5617,f10463]) ).
fof(f10465,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(one_one_int)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f2002,f10464]) ).
fof(f10466,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_2),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_3),number_number_of_nat(bit0(one_one_int)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)),one_one_int)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f5617,f10465]) ).
fof(f10467,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f10466,f5693]) ).
fof(f10468,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f10467]) ).
fof(f10469,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(bit1(zero_zero_int))))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f2002,f4495]) ).
fof(f10470,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f5617,f10469]) ).
fof(f10471,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(bit1(zero_zero_int))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f2002,f10470]) ).
fof(f10472,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(one_one_int)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f5617,f10471]) ).
fof(f10473,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(one_one_int)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(zero_zero_int))))),m)),one_one_int)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f2002,f10472]) ).
fof(f10474,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sk0_0),number_number_of_nat(bit0(one_one_int)))),hAPP_nat_int(power_power_int(sk0_1),number_number_of_nat(bit0(one_one_int)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)),one_one_int)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f5617,f10473]) ).
fof(f10475,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f10474,f5693]) ).
fof(f10476,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f10475]) ).
fof(f10477,plain,
$false,
inference(sat_refutation,[status(thm)],[f4497,f4512,f9788,f10456,f10460,f10468,f10476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM926+3 : TPTP v8.1.2. Released v5.3.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:18:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.44 % Drodi V3.6.0
% 2.09/0.74 % Refutation found
% 2.09/0.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.09/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.44/0.77 % Elapsed time: 0.415578 seconds
% 2.44/0.77 % CPU time: 2.509846 seconds
% 2.44/0.77 % Total memory used: 198.329 MB
% 2.44/0.77 % Net memory used: 197.280 MB
%------------------------------------------------------------------------------