TSTP Solution File: SWV997_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV997_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 Sep 29 15:25:11 EDT 2022
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 36
% Syntax : Number of formulae : 85 ( 29 unt; 6 typ; 0 def)
% Number of atoms : 773 ( 557 equ)
% Maximal formula atoms : 107 ( 9 avg)
% Number of connectives : 1113 ( 429 ~; 248 |; 390 &)
% ( 44 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 10 ( 10 fml; 0 var)
% Number arithmetic : 1652 ( 206 atm; 452 fun; 822 num; 172 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 19 ( 6 usr; 15 con; 0-2 aty)
% Number of variables : 172 ( 160 !; 0 ?; 172 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_type,type,
b: $int > $int ).
tff(z3_type,type,
z3: $int ).
tff(z2_type,type,
z2: $int ).
tff(z1_type,type,
z1: $int ).
tff(a_type,type,
a: $int > $int ).
tff(z4_type,type,
z4: $int ).
tff(1,plain,
( ( b(z3) = 5 )
<=> ( b(z3) = 5 ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ ( ( ! [Z1: $int] :
( $lesseq(1,a(Z1))
& $lesseq(a(Z1),12) )
& ! [Z1: $int] :
( $lesseq(1,b(Z1))
& $lesseq(b(Z1),5) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 10 )
& ( a(Z2) = 10 ) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 9 )
& ( a(Z2) = 10 )
& $less(b(Z2),3)
& $less(Z2,Z1) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 8 )
& ( a(Z2) = 10 )
& $less(b(Z2),3)
& $less(Z2,Z1) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& $less(b(Z2),3)
& ( b(Z3) = 5 )
& $less(Z2,Z1) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& $less(b(Z2),3)
& ( b(Z3) = 5 )
& $less(Z2,Z1) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& ( a(Z3) = 8 )
& $less(b(Z2),3)
& $less(Z2,Z1) ) )
=> ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1) ) )
<=> ~ ( ~ ( ! [Z1: $int] :
( $lesseq(1,a(Z1))
& $lesseq(a(Z1),12) )
& ! [Z1: $int] :
( $lesseq(1,b(Z1))
& $lesseq(b(Z1),5) )
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 10 )
& ( a(Z2) = 10 ) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 9 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 8 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& ( a(Z3) = 8 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) ) )
| ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& ~ $lesseq(3,b(z2))
& ( b(z3) = 5 )
& ~ $lesseq(z1,z2) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
~ ( ( ! [Z1: $int] :
( $lesseq(1,a(Z1))
& $lesseq(a(Z1),12) )
& ! [Z1: $int] :
( $lesseq(1,b(Z1))
& $lesseq(b(Z1),5) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 10 )
& ( a(Z2) = 10 ) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 9 )
& ( a(Z2) = 10 )
& $less(b(Z2),3)
& $less(Z2,Z1) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 8 )
& ( a(Z2) = 10 )
& $less(b(Z2),3)
& $less(Z2,Z1) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& $less(b(Z2),3)
& ( b(Z3) = 5 )
& $less(Z2,Z1) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& $less(b(Z2),3)
& ( b(Z3) = 5 )
& $less(Z2,Z1) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& ( a(Z3) = 8 )
& $less(b(Z2),3)
& $less(Z2,Z1) ) )
=> ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& $less(z2,z1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','0') ).
tff(4,plain,
~ ( ~ ( ! [Z1: $int] :
( $lesseq(1,a(Z1))
& $lesseq(a(Z1),12) )
& ! [Z1: $int] :
( $lesseq(1,b(Z1))
& $lesseq(b(Z1),5) )
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 10 )
& ( a(Z2) = 10 ) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 9 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 8 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& ( a(Z3) = 8 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) ) )
| ~ ( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& ~ $lesseq(3,b(z2))
& ( b(z3) = 5 )
& ~ $lesseq(z1,z2) ) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
( ( a(z1) = 6 )
& ( a(z2) = 10 )
& ( a(z3) = 1 )
& ~ $lesseq(3,b(z2))
& ( b(z3) = 5 )
& ~ $lesseq(z1,z2) ),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
b(z3) = 5,
inference(and_elim,[status(thm)],[5]) ).
tff(7,plain,
b(z3) = 5,
inference(modus_ponens,[status(thm)],[6,1]) ).
tff(8,plain,
( ~ $lesseq(3,b(z2))
<=> ~ $greatereq(b(z2),3) ),
inference(rewrite,[status(thm)],]) ).
tff(9,plain,
( ~ $lesseq(3,b(z2))
<=> ~ $lesseq(3,b(z2)) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
~ $lesseq(3,b(z2)),
inference(and_elim,[status(thm)],[5]) ).
tff(11,plain,
~ $lesseq(3,b(z2)),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
~ $greatereq(b(z2),3),
inference(modus_ponens,[status(thm)],[11,8]) ).
tff(13,plain,
( ( a(z2) = 10 )
<=> ( a(z2) = 10 ) ),
inference(rewrite,[status(thm)],]) ).
tff(14,plain,
a(z2) = 10,
inference(and_elim,[status(thm)],[5]) ).
tff(15,plain,
a(z2) = 10,
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( ( a(z1) = 6 )
<=> ( a(z1) = 6 ) ),
inference(rewrite,[status(thm)],]) ).
tff(17,plain,
a(z1) = 6,
inference(and_elim,[status(thm)],[5]) ).
tff(18,plain,
a(z1) = 6,
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
^ [Z1: $int,Z2: $int,Z3: $int] :
refl(
( ( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
<=> ( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ) )),
inference(bind,[status(th)],]) ).
tff(20,plain,
( ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
<=> ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ) ),
inference(quant_intro,[status(thm)],[19]) ).
tff(21,plain,
^ [Z1: $int,Z2: $int,Z3: $int] :
trans(
monotonicity(
rewrite(
( ( ( $sum(Z2,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z2)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $greatereq($sum(Z2,$product(-1,Z1)),0) )
<=> ~ ( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ) )),
( ~ ( ( $sum(Z2,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z2)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $greatereq($sum(Z2,$product(-1,Z1)),0) )
<=> ~ ~ ( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ) )),
rewrite(
( ~ ~ ( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
<=> ( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ) )),
( ~ ( ( $sum(Z2,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z2)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $greatereq($sum(Z2,$product(-1,Z1)),0) )
<=> ( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( $sum(Z2,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z2)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $greatereq($sum(Z2,$product(-1,Z1)),0) )
<=> ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,plain,
^ [Z1: $int,Z2: $int,Z3: $int] :
rewrite(
( ~ ( ( $sum(Z1,$product(-1,Z2)) != 0 )
& ( $sum(Z1,$product(-1,Z3)) != 0 )
& ( $sum(Z2,$product(-1,Z3)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $lesseq($sum(Z1,$product(-1,Z2)),0) )
<=> ~ ( ( $sum(Z2,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z2)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $greatereq($sum(Z2,$product(-1,Z1)),0) ) )),
inference(bind,[status(th)],]) ).
tff(24,plain,
( ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( $sum(Z1,$product(-1,Z2)) != 0 )
& ( $sum(Z1,$product(-1,Z3)) != 0 )
& ( $sum(Z2,$product(-1,Z3)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $lesseq($sum(Z1,$product(-1,Z2)),0) )
<=> ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( $sum(Z2,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z2)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $greatereq($sum(Z2,$product(-1,Z1)),0) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,plain,
^ [Z1: $int,Z2: $int,Z3: $int] :
rewrite(
( ~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
<=> ~ ( ( $sum(Z1,$product(-1,Z2)) != 0 )
& ( $sum(Z1,$product(-1,Z3)) != 0 )
& ( $sum(Z2,$product(-1,Z3)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $lesseq($sum(Z1,$product(-1,Z2)),0) ) )),
inference(bind,[status(th)],]) ).
tff(26,plain,
( ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
<=> ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( $sum(Z1,$product(-1,Z2)) != 0 )
& ( $sum(Z1,$product(-1,Z3)) != 0 )
& ( $sum(Z2,$product(-1,Z3)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $lesseq($sum(Z1,$product(-1,Z2)),0) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
( ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
<=> ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(28,plain,
( ! [Z1: $int] :
( $lesseq(1,a(Z1))
& $lesseq(a(Z1),12) )
& ! [Z1: $int] :
( $lesseq(1,b(Z1))
& $lesseq(b(Z1),5) )
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z3 != z4 )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 10 )
& ( a(Z2) = 10 ) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 9 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int] :
~ ( ( Z1 != Z2 )
& ( a(Z1) = 8 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) )
& ! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 7 )
& ( a(Z2) = 10 )
& ( a(Z3) = 8 )
& ~ $lesseq(3,b(Z2))
& ~ $lesseq(Z1,Z2) ) ),
inference(or_elim,[status(thm)],[4]) ).
tff(29,plain,
! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) ),
inference(and_elim,[status(thm)],[28]) ).
tff(30,plain,
! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( Z1 != Z2 )
& ( Z1 != Z3 )
& ( Z2 != Z3 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $lesseq(3,b(Z2))
& ( b(Z3) = 5 )
& ~ $lesseq(Z1,Z2) ),
inference(modus_ponens,[status(thm)],[29,27]) ).
tff(31,plain,
! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( $sum(Z1,$product(-1,Z2)) != 0 )
& ( $sum(Z1,$product(-1,Z3)) != 0 )
& ( $sum(Z2,$product(-1,Z3)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $lesseq($sum(Z1,$product(-1,Z2)),0) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( $sum(Z2,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z2)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $greatereq($sum(Z2,$product(-1,Z1)),0) ),
inference(modus_ponens,[status(thm)],[31,24]) ).
tff(33,plain,
! [Z1: $int,Z2: $int,Z3: $int] :
~ ( ( $sum(Z2,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z1)) != 0 )
& ( $sum(Z3,$product(-1,Z2)) != 0 )
& ( a(Z1) = 6 )
& ( a(Z2) = 10 )
& ~ $greatereq(b(Z2),3)
& ( b(Z3) = 5 )
& ~ $greatereq($sum(Z2,$product(-1,Z1)),0) ),
inference(skolemize,[status(sab)],[32]) ).
tff(34,plain,
! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ),
inference(modus_ponens,[status(thm)],[33,22]) ).
tff(35,plain,
! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) ),
inference(modus_ponens,[status(thm)],[34,20]) ).
tff(36,plain,
( ( z2 != z3 )
<=> ( $sum(z2,$product(-1,z3)) != 0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(37,plain,
( ( z2 != z3 )
<=> ( z2 != z3 ) ),
inference(rewrite,[status(thm)],]) ).
tff(38,plain,
z2 != z3,
inference(and_elim,[status(thm)],[28]) ).
tff(39,plain,
z2 != z3,
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
$sum(z2,$product(-1,z3)) != 0,
inference(modus_ponens,[status(thm)],[39,36]) ).
tff(41,plain,
( ( z1 != z3 )
<=> ( $sum(z1,$product(-1,z3)) != 0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(42,plain,
( ( z1 != z3 )
<=> ( z1 != z3 ) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
z1 != z3,
inference(and_elim,[status(thm)],[28]) ).
tff(44,plain,
z1 != z3,
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
$sum(z1,$product(-1,z3)) != 0,
inference(modus_ponens,[status(thm)],[44,41]) ).
tff(46,plain,
( ~ $lesseq(z1,z2)
<=> ~ $lesseq($sum(z1,$product(-1,z2)),0) ),
inference(rewrite,[status(thm)],]) ).
tff(47,plain,
( ~ $lesseq(z1,z2)
<=> ~ $lesseq(z1,z2) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
~ $lesseq(z1,z2),
inference(and_elim,[status(thm)],[5]) ).
tff(49,plain,
~ $lesseq(z1,z2),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
~ $lesseq($sum(z1,$product(-1,z2)),0),
inference(modus_ponens,[status(thm)],[49,46]) ).
tff(51,plain,
( ( z1 != z2 )
<=> ( $sum(z1,$product(-1,z2)) != 0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
( ( z1 != z2 )
<=> ( z1 != z2 ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
z1 != z2,
inference(and_elim,[status(thm)],[28]) ).
tff(54,plain,
z1 != z2,
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
$sum(z1,$product(-1,z2)) != 0,
inference(modus_ponens,[status(thm)],[54,51]) ).
tff(56,plain,
( ( ~ ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
| ( $sum(z1,$product(-1,z3)) = 0 )
| $lesseq($sum(z1,$product(-1,z2)),0)
| $greatereq(b(z2),3)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( a(z2) != 10 )
| ( a(z1) != 6 )
| ( b(z3) != 5 ) )
<=> ( ~ ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
| ( $sum(z1,$product(-1,z3)) = 0 )
| $lesseq($sum(z1,$product(-1,z2)),0)
| $greatereq(b(z2),3)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( a(z2) != 10 )
| ( a(z1) != 6 )
| ( b(z3) != 5 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ( $greatereq(b(z2),3)
| $lesseq($sum(z1,$product(-1,z2)),0)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( $sum(z1,$product(-1,z3)) = 0 )
| ( a(z2) != 10 )
| ( b(z3) != 5 )
| ( a(z1) != 6 ) )
<=> ( ( $sum(z1,$product(-1,z3)) = 0 )
| $lesseq($sum(z1,$product(-1,z2)),0)
| $greatereq(b(z2),3)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( a(z2) != 10 )
| ( a(z1) != 6 )
| ( b(z3) != 5 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,plain,
( ( $sum($product(-1,z1),z3) = 0 )
<=> ( $sum(z1,$product(-1,z3)) = 0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,plain,
$sum(z3,$product(-1,z1)) = $sum($product(-1,z1),z3),
inference(rewrite,[status(thm)],]) ).
tff(60,plain,
( ( $sum(z3,$product(-1,z1)) = 0 )
<=> ( $sum($product(-1,z1),z3) = 0 ) ),
inference(monotonicity,[status(thm)],[59]) ).
tff(61,plain,
( ( $sum(z3,$product(-1,z1)) = 0 )
<=> ( $sum(z1,$product(-1,z3)) = 0 ) ),
inference(transitivity,[status(thm)],[60,58]) ).
tff(62,plain,
( ( $sum($product(-1,z1),z2) = 0 )
<=> ( $sum(z1,$product(-1,z2)) = 0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(63,plain,
$sum(z2,$product(-1,z1)) = $sum($product(-1,z1),z2),
inference(rewrite,[status(thm)],]) ).
tff(64,plain,
( ( $sum(z2,$product(-1,z1)) = 0 )
<=> ( $sum($product(-1,z1),z2) = 0 ) ),
inference(monotonicity,[status(thm)],[63]) ).
tff(65,plain,
( ( $sum(z2,$product(-1,z1)) = 0 )
<=> ( $sum(z1,$product(-1,z2)) = 0 ) ),
inference(transitivity,[status(thm)],[64,62]) ).
tff(66,plain,
( ( $sum($product(-1,z2),z3) = 0 )
<=> ( $sum(z2,$product(-1,z3)) = 0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(67,plain,
$sum(z3,$product(-1,z2)) = $sum($product(-1,z2),z3),
inference(rewrite,[status(thm)],]) ).
tff(68,plain,
( ( $sum(z3,$product(-1,z2)) = 0 )
<=> ( $sum($product(-1,z2),z3) = 0 ) ),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
( ( $sum(z3,$product(-1,z2)) = 0 )
<=> ( $sum(z2,$product(-1,z3)) = 0 ) ),
inference(transitivity,[status(thm)],[68,66]) ).
tff(70,plain,
( $greatereq($sum($product(-1,z1),z2),0)
<=> $lesseq($sum(z1,$product(-1,z2)),0) ),
inference(rewrite,[status(thm)],]) ).
tff(71,plain,
( $greatereq($sum(z2,$product(-1,z1)),0)
<=> $greatereq($sum($product(-1,z1),z2),0) ),
inference(monotonicity,[status(thm)],[63]) ).
tff(72,plain,
( $greatereq($sum(z2,$product(-1,z1)),0)
<=> $lesseq($sum(z1,$product(-1,z2)),0) ),
inference(transitivity,[status(thm)],[71,70]) ).
tff(73,plain,
( ( $greatereq(b(z2),3)
| $greatereq($sum(z2,$product(-1,z1)),0)
| ( $sum(z3,$product(-1,z2)) = 0 )
| ( $sum(z2,$product(-1,z1)) = 0 )
| ( $sum(z3,$product(-1,z1)) = 0 )
| ( a(z2) != 10 )
| ( b(z3) != 5 )
| ( a(z1) != 6 ) )
<=> ( $greatereq(b(z2),3)
| $lesseq($sum(z1,$product(-1,z2)),0)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( $sum(z1,$product(-1,z3)) = 0 )
| ( a(z2) != 10 )
| ( b(z3) != 5 )
| ( a(z1) != 6 ) ) ),
inference(monotonicity,[status(thm)],[72,69,65,61]) ).
tff(74,plain,
( ( $greatereq(b(z2),3)
| $greatereq($sum(z2,$product(-1,z1)),0)
| ( $sum(z3,$product(-1,z2)) = 0 )
| ( $sum(z2,$product(-1,z1)) = 0 )
| ( $sum(z3,$product(-1,z1)) = 0 )
| ( a(z2) != 10 )
| ( b(z3) != 5 )
| ( a(z1) != 6 ) )
<=> ( ( $sum(z1,$product(-1,z3)) = 0 )
| $lesseq($sum(z1,$product(-1,z2)),0)
| $greatereq(b(z2),3)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( a(z2) != 10 )
| ( a(z1) != 6 )
| ( b(z3) != 5 ) ) ),
inference(transitivity,[status(thm)],[73,57]) ).
tff(75,plain,
( ( ~ ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
| $greatereq(b(z2),3)
| $greatereq($sum(z2,$product(-1,z1)),0)
| ( $sum(z3,$product(-1,z2)) = 0 )
| ( $sum(z2,$product(-1,z1)) = 0 )
| ( $sum(z3,$product(-1,z1)) = 0 )
| ( a(z2) != 10 )
| ( b(z3) != 5 )
| ( a(z1) != 6 ) )
<=> ( ~ ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
| ( $sum(z1,$product(-1,z3)) = 0 )
| $lesseq($sum(z1,$product(-1,z2)),0)
| $greatereq(b(z2),3)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( a(z2) != 10 )
| ( a(z1) != 6 )
| ( b(z3) != 5 ) ) ),
inference(monotonicity,[status(thm)],[74]) ).
tff(76,plain,
( ( ~ ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
| $greatereq(b(z2),3)
| $greatereq($sum(z2,$product(-1,z1)),0)
| ( $sum(z3,$product(-1,z2)) = 0 )
| ( $sum(z2,$product(-1,z1)) = 0 )
| ( $sum(z3,$product(-1,z1)) = 0 )
| ( a(z2) != 10 )
| ( b(z3) != 5 )
| ( a(z1) != 6 ) )
<=> ( ~ ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
| ( $sum(z1,$product(-1,z3)) = 0 )
| $lesseq($sum(z1,$product(-1,z2)),0)
| $greatereq(b(z2),3)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( a(z2) != 10 )
| ( a(z1) != 6 )
| ( b(z3) != 5 ) ) ),
inference(transitivity,[status(thm)],[75,56]) ).
tff(77,plain,
( ~ ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
| $greatereq(b(z2),3)
| $greatereq($sum(z2,$product(-1,z1)),0)
| ( $sum(z3,$product(-1,z2)) = 0 )
| ( $sum(z2,$product(-1,z1)) = 0 )
| ( $sum(z3,$product(-1,z1)) = 0 )
| ( a(z2) != 10 )
| ( b(z3) != 5 )
| ( a(z1) != 6 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(78,plain,
( ~ ! [Z1: $int,Z2: $int,Z3: $int] :
( $greatereq(b(Z2),3)
| $greatereq($sum(Z2,$product(-1,Z1)),0)
| ( $sum(Z3,$product(-1,Z2)) = 0 )
| ( $sum(Z2,$product(-1,Z1)) = 0 )
| ( $sum(Z3,$product(-1,Z1)) = 0 )
| ( a(Z2) != 10 )
| ( b(Z3) != 5 )
| ( a(Z1) != 6 ) )
| ( $sum(z1,$product(-1,z3)) = 0 )
| $lesseq($sum(z1,$product(-1,z2)),0)
| $greatereq(b(z2),3)
| ( $sum(z2,$product(-1,z3)) = 0 )
| ( $sum(z1,$product(-1,z2)) = 0 )
| ( a(z2) != 10 )
| ( a(z1) != 6 )
| ( b(z3) != 5 ) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
$false,
inference(unit_resolution,[status(thm)],[78,55,50,45,40,35,18,15,12,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV997_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Sep 4 11:15:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------