TSTP Solution File: NUM925_2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM925_2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Thu Aug 31 11:33:42 EDT 2023
% Result : Theorem 7.78s 1.64s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 55 unt; 0 typ; 0 def)
% Number of atoms : 584 ( 87 equ)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 66 ( 30 ~; 22 |; 11 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 476 ( 476 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 10 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 77 ( 7 sgn; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_n1pos) ).
tff(f3,axiom,
! [X0: int,X1: int] :
( ( zero_zero_int = 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))))) )
<=> ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_sum__power2__eq__zero__iff) ).
tff(f8,axiom,
zero_zero_int = hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_zero__power2) ).
tff(f20,axiom,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_semiring__one__add__one__is__two) ).
tff(f66,axiom,
! [X23: int,X24: int,X25: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X23),X24)),X25) = hAPP_int_int(plus_plus_int(X23),hAPP_int_int(plus_plus_int(X24),X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_zadd__assoc) ).
tff(f67,axiom,
! [X5: int,X7: int,X14: int] : ( hAPP_int_int(plus_plus_int(X5),hAPP_int_int(plus_plus_int(X7),X14)) = hAPP_int_int(plus_plus_int(X7),hAPP_int_int(plus_plus_int(X5),X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_zadd__left__commute) ).
tff(f99,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_Pls__def) ).
tff(f101,axiom,
! [X18: int] : ( hAPP_int_int(plus_plus_int(X18),pls) = X18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_add__Pls__right) ).
tff(f102,axiom,
! [X18: int] : ( hAPP_int_int(plus_plus_int(pls),X18) = X18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_add__Pls) ).
tff(f104,axiom,
! [X18: int] : ( bit0(X18) = hAPP_int_int(plus_plus_int(X18),X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_Bit0__def) ).
tff(f129,axiom,
! [X18: int] : ( bit1(X18) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X18)),X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_Bit1__def) ).
tff(f372,axiom,
! [X126: int] : ( hAPP_int_int(plus_plus_int(zero_zero_int),X126) = X126 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_371_add__0__left) ).
tff(f448,axiom,
! [X27: int,X22: int] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X27),X22))
<=> ( ( X22 != X27 )
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X27),X22)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_447_zless__le) ).
tff(f703,conjecture,
zero_zero_int != hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f704,negated_conjecture,
( ~ zero_zero_int != hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) ),
inference(negated_conjecture,[],[f703]) ).
tff(f736,plain,
! [X0: int,X1: int,X2: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X0),X1)),X2) = hAPP_int_int(plus_plus_int(X0),hAPP_int_int(plus_plus_int(X1),X2)) ),
inference(rectify,[],[f66]) ).
tff(f737,plain,
! [X0: int,X1: int,X2: int] : ( hAPP_int_int(plus_plus_int(X0),hAPP_int_int(plus_plus_int(X1),X2)) = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X0),X2)) ),
inference(rectify,[],[f67]) ).
tff(f762,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(X0),pls) = X0 ),
inference(rectify,[],[f101]) ).
tff(f763,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(pls),X0) = X0 ),
inference(rectify,[],[f102]) ).
tff(f765,plain,
! [X0: int] : ( bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(rectify,[],[f104]) ).
tff(f783,plain,
! [X0: int] : ( bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0) ),
inference(rectify,[],[f129]) ).
tff(f983,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(zero_zero_int),X0) = X0 ),
inference(rectify,[],[f372]) ).
tff(f1054,plain,
! [X0: int,X1: int] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
<=> ( ( X0 != X1 )
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1)) ) ),
inference(rectify,[],[f448]) ).
tff(f1287,plain,
zero_zero_int = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
inference(flattening,[],[f704]) ).
tff(f1712,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = 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))))) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) )
| ( zero_zero_int != 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))))) ) ) ),
inference(nnf_transformation,[],[f3]) ).
tff(f1713,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = 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))))) )
| ( zero_zero_int != X1 )
| ( zero_zero_int != X0 ) )
& ( ( ( zero_zero_int = X1 )
& ( zero_zero_int = X0 ) )
| ( zero_zero_int != 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))))) ) ) ),
inference(flattening,[],[f1712]) ).
tff(f1872,plain,
! [X0: int,X1: int] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
| ( X0 = X1 )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1)) )
& ( ( ( X0 != X1 )
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1)) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1)) ) ),
inference(nnf_transformation,[],[f1054]) ).
tff(f1873,plain,
! [X0: int,X1: int] :
( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
| ( X0 = X1 )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1)) )
& ( ( ( X0 != X1 )
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1)) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1)) ) ),
inference(flattening,[],[f1872]) ).
tff(f1987,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
inference(cnf_transformation,[],[f1]) ).
tff(f1989,plain,
! [X0: int,X1: int] :
( ( zero_zero_int = X0 )
| ( zero_zero_int != 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))))) ) ),
inference(cnf_transformation,[],[f1713]) ).
tff(f1998,plain,
zero_zero_int = hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f8]) ).
tff(f2012,plain,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
inference(cnf_transformation,[],[f20]) ).
tff(f2080,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X0),X1)),X2) = hAPP_int_int(plus_plus_int(X0),hAPP_int_int(plus_plus_int(X1),X2)) ),
inference(cnf_transformation,[],[f736]) ).
tff(f2081,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(X0),hAPP_int_int(plus_plus_int(X1),X2)) = hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X0),X2)) ),
inference(cnf_transformation,[],[f737]) ).
tff(f2136,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f99]) ).
tff(f2138,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(X0),pls) = X0 ),
inference(cnf_transformation,[],[f762]) ).
tff(f2139,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(pls),X0) = X0 ),
inference(cnf_transformation,[],[f763]) ).
tff(f2141,plain,
! [X0: int] : ( bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(cnf_transformation,[],[f765]) ).
tff(f2172,plain,
! [X0: int] : ( bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0) ),
inference(cnf_transformation,[],[f783]) ).
tff(f2506,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(zero_zero_int),X0) = X0 ),
inference(cnf_transformation,[],[f983]) ).
tff(f2611,plain,
! [X0: int,X1: int] :
( ( X0 != X1 )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1)) ),
inference(cnf_transformation,[],[f1873]) ).
tff(f2967,plain,
zero_zero_int = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))),
inference(cnf_transformation,[],[f1287]) ).
tff(f2968,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
inference(definition_unfolding,[],[f1987,f2136]) ).
tff(f2971,plain,
! [X0: int,X1: int] :
( ( pls = X0 )
| ( pls != hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) ) ),
inference(definition_unfolding,[],[f1989,f2136,f2136,f2141,f2172,f2141,f2172]) ).
tff(f2978,plain,
pls = hAPP_nat_int(power_power_int(pls),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(definition_unfolding,[],[f1998,f2136,f2136,f2141,f2172]) ).
tff(f2992,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(definition_unfolding,[],[f2012,f2141,f2172]) ).
tff(f3145,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(pls),X0) = X0 ),
inference(definition_unfolding,[],[f2506,f2136]) ).
tff(f3293,plain,
pls = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
inference(definition_unfolding,[],[f2967,f2136,f2141,f2172]) ).
tff(f3384,plain,
! [X1: int] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X1)),
inference(equality_resolution,[],[f2611]) ).
cnf(c_49,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
inference(cnf_transformation,[],[f2968]) ).
cnf(c_53,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0_14),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X1_14),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) != pls
| X0_14 = pls ),
inference(cnf_transformation,[],[f2971]) ).
cnf(c_60,plain,
hAPP_nat_int(power_power_int(pls),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = pls,
inference(cnf_transformation,[],[f2978]) ).
cnf(c_74,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
inference(cnf_transformation,[],[f2992]) ).
cnf(c_132,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X0_14),X1_14)),X2_14) = hAPP_int_int(plus_plus_int(X0_14),hAPP_int_int(plus_plus_int(X1_14),X2_14)),
inference(cnf_transformation,[],[f2080]) ).
cnf(c_133,plain,
hAPP_int_int(plus_plus_int(X0_14),hAPP_int_int(plus_plus_int(X1_14),X2_14)) = hAPP_int_int(plus_plus_int(X1_14),hAPP_int_int(plus_plus_int(X0_14),X2_14)),
inference(cnf_transformation,[],[f2081]) ).
cnf(c_188,plain,
hAPP_int_int(plus_plus_int(X0_14),pls) = X0_14,
inference(cnf_transformation,[],[f2138]) ).
cnf(c_189,plain,
hAPP_int_int(plus_plus_int(pls),X0_14) = X0_14,
inference(cnf_transformation,[],[f2139]) ).
cnf(c_523,plain,
hAPP_int_int(plus_plus_int(pls),X0_14) = X0_14,
inference(cnf_transformation,[],[f3145]) ).
cnf(c_628,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0_14),X0_14)),
inference(cnf_transformation,[],[f3384]) ).
cnf(c_964,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = pls,
inference(cnf_transformation,[],[f3293]) ).
cnf(c_1539,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0_14),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X1_14),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) != pls
| X0_14 = pls ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
cnf(c_6650,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
inference(demodulation,[status(thm)],[c_74,c_132,c_133,c_188,c_189]) ).
cnf(c_6654,plain,
hAPP_nat_int(power_power_int(pls),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)) = pls,
inference(demodulation,[status(thm)],[c_60,c_132,c_133,c_188,c_189,c_6650]) ).
cnf(c_6983,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)) = pls,
inference(demodulation,[status(thm)],[c_964,c_132,c_133,c_188,c_189,c_6650]) ).
cnf(c_7119,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0_14),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X1_14),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))) != pls
| X0_14 = pls ),
inference(demodulation,[status(thm)],[c_1539,c_132,c_133,c_188,c_189,c_6650]) ).
cnf(c_18037,plain,
( X0_14 = pls
| hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0_14),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X1_14),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))) != pls ),
inference(prop_impl_just,[status(thm)],[c_7119]) ).
cnf(c_18038,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0_14),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X1_14),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))) != pls
| X0_14 = pls ),
inference(renaming,[status(thm)],[c_18037]) ).
cnf(c_26780,plain,
( hAPP_int_int(plus_plus_int(pls),hAPP_nat_int(power_power_int(X0_14),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))) != pls
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)) = pls ),
inference(superposition,[status(thm)],[c_6983,c_18038]) ).
cnf(c_26874,plain,
( hAPP_nat_int(power_power_int(X0_14),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)) != pls
| hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)) = pls ),
inference(demodulation,[status(thm)],[c_26780,c_523]) ).
cnf(c_26881,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)) = pls,
inference(superposition,[status(thm)],[c_6654,c_26874]) ).
cnf(c_26889,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
inference(demodulation,[status(thm)],[c_49,c_26881]) ).
cnf(c_26891,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_26889,c_628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM925_2 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n023.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 : Fri Aug 25 15:26:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.78/1.64 % SZS status Started for theBenchmark.p
% 7.78/1.64 % SZS status Theorem for theBenchmark.p
% 7.78/1.64
% 7.78/1.64 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.78/1.64
% 7.78/1.64 ------ iProver source info
% 7.78/1.64
% 7.78/1.64 git: date: 2023-05-31 18:12:56 +0000
% 7.78/1.64 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.78/1.64 git: non_committed_changes: false
% 7.78/1.64 git: last_make_outside_of_git: false
% 7.78/1.64
% 7.78/1.64 ------ Parsing...
% 7.78/1.64 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 7.78/1.64
% 7.78/1.64
% 7.78/1.64 ------ Preprocessing... sup_sim: 162 pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 pe_s pe_e sup_sim: 0 pe_s pe_e sup_sim: 0 pe_s pe_e
% 7.78/1.64
% 7.78/1.64 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 7.78/1.64 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 7.78/1.64
% 7.78/1.64
% 7.78/1.64 ------ Preprocessing...
% 7.78/1.64 ------ Proving...
% 7.78/1.64 ------ Problem Properties
% 7.78/1.64
% 7.78/1.64
% 7.78/1.64 clauses 479
% 7.78/1.64 conjectures 0
% 7.78/1.64 EPR 4
% 7.78/1.64 Horn 416
% 7.78/1.64 unary 121
% 7.78/1.64 binary 233
% 7.78/1.64 lits 987
% 7.78/1.64 lits eq 217
% 7.78/1.64 fd_pure 1
% 7.78/1.64 fd_pseudo 0
% 7.78/1.64 fd_cond 38
% 7.78/1.64 fd_pseudo_cond 28
% 7.78/1.64 AC symbols 0
% 7.78/1.64
% 7.78/1.64 ------ Schedule dynamic 5 is on
% 7.78/1.64
% 7.78/1.64 ------ no conjectures: strip conj schedule
% 7.78/1.64
% 7.78/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 7.78/1.64
% 7.78/1.64
% 7.78/1.64 ------
% 7.78/1.64 Current options:
% 7.78/1.64 ------
% 7.78/1.64
% 7.78/1.64
% 7.78/1.64
% 7.78/1.64
% 7.78/1.64 ------ Proving...
% 7.78/1.64
% 7.78/1.64
% 7.78/1.64 % SZS status Theorem for theBenchmark.p
% 7.78/1.64
% 7.78/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.78/1.64
% 7.78/1.64
%------------------------------------------------------------------------------