TSTP Solution File: NUM924+3 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM924+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 : Sun Sep 18 13:12:39 EDT 2022
% Result : Theorem 0.98s 0.98s
% Output : Proof 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 54
% Syntax : Number of formulae : 97 ( 27 unt; 22 typ; 0 def)
% Number of atoms : 420 ( 164 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 475 ( 155 ~; 182 |; 30 &)
% ( 99 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of FOOLs : 25 ( 25 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 15 >; 5 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-2 aty)
% Number of variables : 108 ( 94 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
tff(hBOOL_type,type,
hBOOL: $i > $o ).
tff(hAPP_int_bool_type,type,
hAPP_int_bool: ( $i * $i ) > $i ).
tff(hAPP_int_int_type,type,
hAPP_int_int: ( $i * $i ) > $i ).
tff(pls_type,type,
pls: $i ).
tff(times_times_int_type,type,
times_times_int: $i > $i ).
tff(number_number_of_int_type,type,
number_number_of_int: $i > $i ).
tff(bit1_type,type,
bit1: $i > $i ).
tff(plus_plus_int_type,type,
plus_plus_int: $i > $i ).
tff(m_type,type,
m: $i ).
tff(bit0_type,type,
bit0: $i > $i ).
tff(hAPP_i1948725293t_bool_type,type,
hAPP_i1948725293t_bool: ( $i * $i ) > $i ).
tff(twoSqu1241645765sum2sq_type,type,
twoSqu1241645765sum2sq: $i > $i ).
tff(product_Pair_int_int_type,type,
product_Pair_int_int: ( $i * $i ) > $i ).
tff(s_type,type,
s: $i ).
tff(ord_less_int_type,type,
ord_less_int: $i ).
tff(is_int_type,type,
is_int: $i > $o ).
tff(one_one_int_type,type,
one_one_int: $i ).
tff(zero_zero_int_type,type,
zero_zero_int: $i ).
tff(hAPP_nat_int_type,type,
hAPP_nat_int: ( $i * $i ) > $i ).
tff(number_number_of_nat_type,type,
number_number_of_nat: $i > $i ).
tff(power_power_int_type,type,
power_power_int: $i > $i ).
tff(t_type,type,
t: $i ).
tff(1,plain,
^ [B_1_1: $i,B_2_1: $i] :
refl(
( ( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
<=> ( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
<=> ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
<=> ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
^ [B_1_1: $i,B_2_1: $i] :
rewrite(
( ( is_int(B_2_1)
=> is_int(hAPP_int_int(B_1_1,B_2_1)) )
<=> ( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [B_1_1: $i,B_2_1: $i] :
( is_int(B_2_1)
=> is_int(hAPP_int_int(B_1_1,B_2_1)) )
<=> ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [B_1_1: $i,B_2_1: $i] :
( is_int(B_2_1)
=> is_int(hAPP_int_int(B_1_1,B_2_1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint) ).
tff(7,plain,
! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( is_int(one_one_int)
<=> is_int(number_number_of_int(bit1(pls))) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( is_int(one_one_int)
<=> is_int(one_one_int) ),
inference(rewrite,[status(thm)],]) ).
tff(13,axiom,
is_int(one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint) ).
tff(14,plain,
is_int(one_one_int),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
is_int(number_number_of_int(bit1(pls))),
inference(modus_ponens,[status(thm)],[14,11]) ).
tff(16,plain,
( ( ~ ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
| ~ is_int(number_number_of_int(bit1(pls)))
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))) )
<=> ( ~ ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
| ~ is_int(number_number_of_int(bit1(pls)))
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(17,plain,
( ( is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ~ is_int(number_number_of_int(bit1(pls))) )
<=> ( ~ is_int(number_number_of_int(bit1(pls)))
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ( ~ ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ~ is_int(number_number_of_int(bit1(pls))) )
<=> ( ~ ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
| ~ is_int(number_number_of_int(bit1(pls)))
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))) ) ),
inference(monotonicity,[status(thm)],[17]) ).
tff(19,plain,
( ( ~ ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ~ is_int(number_number_of_int(bit1(pls))) )
<=> ( ~ ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
| ~ is_int(number_number_of_int(bit1(pls)))
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))) ) ),
inference(transitivity,[status(thm)],[18,16]) ).
tff(20,plain,
( ~ ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ~ is_int(number_number_of_int(bit1(pls))) ),
inference(quant_inst,[status(thm)],]) ).
tff(21,plain,
( ~ ! [B_1_1: $i,B_2_1: $i] :
( is_int(hAPP_int_int(B_1_1,B_2_1))
| ~ is_int(B_2_1) )
| ~ is_int(number_number_of_int(bit1(pls)))
| is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),
inference(unit_resolution,[status(thm)],[21,15,10]) ).
tff(23,plain,
^ [A_2: $i,B_2: $i] :
refl(
( ( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
<=> ( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(24,plain,
( ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
<=> ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,plain,
^ [A_2: $i,B_2: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( is_int(A_2)
& is_int(B_2) )
<=> ~ ( ~ is_int(B_2)
| ~ is_int(A_2) ) )),
( ~ ( is_int(A_2)
& is_int(B_2) )
<=> ~ ~ ( ~ is_int(B_2)
| ~ is_int(A_2) ) )),
rewrite(
( ~ ~ ( ~ is_int(B_2)
| ~ is_int(A_2) )
<=> ( ~ is_int(B_2)
| ~ is_int(A_2) ) )),
( ~ ( is_int(A_2)
& is_int(B_2) )
<=> ( ~ is_int(B_2)
| ~ is_int(A_2) ) )),
( ( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
<=> ( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ) )),
rewrite(
( ( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
<=> ( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ) )),
( ( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
<=> ( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(26,plain,
( ! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
<=> ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
^ [A_2: $i,B_2: $i] :
rewrite(
( ( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = number_number_of_int(pls) )
<=> ( ( B_2 = number_number_of_int(pls) )
| ( A_2 = number_number_of_int(pls) ) ) ) )
<=> ( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = number_number_of_int(pls) )
<=> ( ( B_2 = number_number_of_int(pls) )
| ( A_2 = number_number_of_int(pls) ) ) ) )
<=> ! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
^ [A_2: $i,B_2: $i] :
rewrite(
( ( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) )
<=> ( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = number_number_of_int(pls) )
<=> ( ( B_2 = number_number_of_int(pls) )
| ( A_2 = number_number_of_int(pls) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(30,plain,
( ! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) )
<=> ! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = number_number_of_int(pls) )
<=> ( ( B_2 = number_number_of_int(pls) )
| ( A_2 = number_number_of_int(pls) ) ) ) ) ),
inference(quant_intro,[status(thm)],[29]) ).
tff(31,plain,
( ! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) )
<=> ! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(32,plain,
^ [A_2: $i,B_2: $i] :
trans(
monotonicity(
rewrite(
( ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( A_2 = zero_zero_int )
| ( B_2 = zero_zero_int ) ) )
<=> ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) )),
( ( ( is_int(A_2)
& is_int(B_2) )
=> ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( A_2 = zero_zero_int )
| ( B_2 = zero_zero_int ) ) ) )
<=> ( ( is_int(A_2)
& is_int(B_2) )
=> ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) ) )),
rewrite(
( ( ( is_int(A_2)
& is_int(B_2) )
=> ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) )
<=> ( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) ) )),
( ( ( is_int(A_2)
& is_int(B_2) )
=> ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( A_2 = zero_zero_int )
| ( B_2 = zero_zero_int ) ) ) )
<=> ( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [A_2: $i,B_2: $i] :
( ( is_int(A_2)
& is_int(B_2) )
=> ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( A_2 = zero_zero_int )
| ( B_2 = zero_zero_int ) ) ) )
<=> ! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,axiom,
! [A_2: $i,B_2: $i] :
( ( is_int(A_2)
& is_int(B_2) )
=> ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( A_2 = zero_zero_int )
| ( B_2 = zero_zero_int ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_503_mult__eq__0__iff) ).
tff(35,plain,
! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int )
<=> ( ( B_2 = zero_zero_int )
| ( A_2 = zero_zero_int ) ) ) ),
inference(modus_ponens,[status(thm)],[35,31]) ).
tff(37,plain,
! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = number_number_of_int(pls) )
<=> ( ( B_2 = number_number_of_int(pls) )
| ( A_2 = number_number_of_int(pls) ) ) ) ),
inference(modus_ponens,[status(thm)],[36,30]) ).
tff(38,plain,
! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ),
inference(modus_ponens,[status(thm)],[37,28]) ).
tff(39,plain,
! [A_2: $i,B_2: $i] :
( ~ ( is_int(A_2)
& is_int(B_2) )
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ),
inference(skolemize,[status(sab)],[38]) ).
tff(40,plain,
! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ),
inference(modus_ponens,[status(thm)],[39,26]) ).
tff(41,plain,
! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) ),
inference(modus_ponens,[status(thm)],[40,24]) ).
tff(42,plain,
( is_int(number_number_of_int(pls))
<=> is_int(pls) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( is_int(zero_zero_int)
<=> is_int(number_number_of_int(pls)) ),
inference(rewrite,[status(thm)],]) ).
tff(44,plain,
( is_int(zero_zero_int)
<=> is_int(zero_zero_int) ),
inference(rewrite,[status(thm)],]) ).
tff(45,axiom,
is_int(zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint) ).
tff(46,plain,
is_int(zero_zero_int),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
is_int(number_number_of_int(pls)),
inference(modus_ponens,[status(thm)],[46,43]) ).
tff(48,plain,
is_int(pls),
inference(modus_ponens,[status(thm)],[47,42]) ).
tff(49,plain,
( ( ~ ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
| ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls ) )
<=> ( ~ ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
| ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(50,plain,
( ( ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls )
<=> ( ( pls = pls )
| ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))) = pls ) ) ) )
<=> ( ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(51,plain,
( ( ~ ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
| ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls )
<=> ( ( pls = pls )
| ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))) = pls ) ) ) )
<=> ( ~ ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
| ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls ) ) ),
inference(monotonicity,[status(thm)],[50]) ).
tff(52,plain,
( ( ~ ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
| ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls )
<=> ( ( pls = pls )
| ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))) = pls ) ) ) )
<=> ( ~ ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
| ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls ) ) ),
inference(transitivity,[status(thm)],[51,49]) ).
tff(53,plain,
( ~ ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
| ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls )
<=> ( ( pls = pls )
| ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))) = pls ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(54,plain,
( ~ ! [A_2: $i,B_2: $i] :
( ~ is_int(B_2)
| ~ is_int(A_2)
| ( ( hAPP_int_int(times_times_int(A_2),B_2) = pls )
<=> ( ( B_2 = pls )
| ( A_2 = pls ) ) ) )
| ~ is_int(pls)
| ~ is_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls))))
| ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls ) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls) = pls,
inference(unit_resolution,[status(thm)],[54,48,41,22]) ).
tff(56,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),pls),
inference(monotonicity,[status(thm)],[55]) ).
tff(57,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),pls)) ),
inference(monotonicity,[status(thm)],[56]) ).
tff(58,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),pls))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls))) ),
inference(symmetry,[status(thm)],[57]) ).
tff(59,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),pls))
<=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls))) ),
inference(monotonicity,[status(thm)],[58]) ).
tff(60,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(bit1(pls)))),number_number_of_int(pls)))
<=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),pls)) ),
inference(rewrite,[status(thm)],]) ).
tff(61,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int))
<=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(bit1(pls)))),number_number_of_int(pls))) ),
inference(rewrite,[status(thm)],]) ).
tff(62,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int))
<=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)) ),
inference(rewrite,[status(thm)],]) ).
tff(63,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(64,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(bit1(pls)))),number_number_of_int(pls))),
inference(modus_ponens,[status(thm)],[64,61]) ).
tff(66,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),pls)),
inference(modus_ponens,[status(thm)],[65,60]) ).
tff(67,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls))),
inference(modus_ponens,[status(thm)],[66,59]) ).
tff(68,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),number_number_of_int(pls))))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls))) ),
inference(rewrite,[status(thm)],]) ).
tff(69,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_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)),t)),hAPP_int_int(times_times_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)),zero_zero_int)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),number_number_of_int(pls)))) ),
inference(rewrite,[status(thm)],]) ).
tff(70,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_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)),t)),hAPP_int_int(times_times_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)),zero_zero_int)))
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_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)),t)),hAPP_int_int(times_times_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)),zero_zero_int))) ),
inference(rewrite,[status(thm)],]) ).
tff(71,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_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)),t)),hAPP_int_int(times_times_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)),zero_zero_int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
tff(72,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_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)),t)),hAPP_int_int(times_times_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)),zero_zero_int))),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),number_number_of_int(pls)))),
inference(modus_ponens,[status(thm)],[72,69]) ).
tff(74,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu1241645765sum2sq(product_Pair_int_int(s,number_number_of_int(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),number_number_of_int(bit1(pls)))),pls))),
inference(modus_ponens,[status(thm)],[73,68]) ).
tff(75,plain,
$false,
inference(unit_resolution,[status(thm)],[74,67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924+3 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Sep 2 15:43:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.98/0.98 % SZS status Theorem
% 0.98/0.98 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------